Each item contains a question followed by two statements. Answer using these instructions: (a) if the question can be answered using one of the statements alone, but cannot be answered using the other statement (b) if the question can be answered using either statement alone (c) if the question can be answered using both the statements together, but cannot be answered using either statement alone (d) if the question cannot be answered even using any of the statements Question: X receives three coins of different denominations: 1, 2, 5, 10 and 20. If the total amount received by X is m, does X receive a coin of denomination 5? Statement I: m is not a prime number. Statement II: The sum of the digits of m is greater than 5.

Answerable using one statement alone, but not the other

Answerable using either statement alone

Answerable using both statements together, but not either alone

Cannot be answered even using both statements

Each item contains a question followed by two statements. Answer using these instructions: (a) if the question can be answered using one of the statements alone, but cannot be answered using the other statement (b) if the question can be answered using either statement alone (c) if the question can be answered using both the statements together, but cannot be answered using either statement alone (d) if the question cannot be answered even using any of the statements Question: For two distinct real numbers x and y, which of them is bigger? Statement I: x² < y < 1 Statement II: y < √x < 1

Cannot be answered even using both statements

Answerable using one statement alone, but not the other

Answerable using either statement alone

Answerable using both statements together, but not either alone

Each item contains a question followed by two statements. Answer using these instructions: (a) if the question can be answered using one of the statements alone, but cannot be answered using the other statement (b) if the question can be answered using either statement alone (c) if the question can be answered using both the statements together, but cannot be answered using either statement alone (d) if the question cannot be answered even using any of the statements Question: If x and y are integers, then is x even? Statement I: x²y² is even. Statement II: 1 + x² + y² is odd.

Answerable using both statements together, but not either alone

Answerable using one statement alone, but not the other

Answerable using either statement alone

Cannot be answered even using both statements

Each item contains a question followed by two statements. Answer using these instructions: (a) if the question can be answered using one of the statements alone, but cannot be answered using the other statement (b) if the question can be answered using either statement alone (c) if the question can be answered using both the statements together, but cannot be answered using either statement alone (d) if the question cannot be answered even using any of the statements Question: X is a collection of certain odd numbers whereas Y is a collection of certain even numbers. T consists of the numbers all of which are either from X or from Y. Is every number of T from Y? Statement I: The sum of any two numbers belonging to T is even. Statement II: If both p and q are picked from T, then (p - 1)q is even.

Cannot be answered even using both statements

Answerable using one statement alone, but not the other

Answerable using either statement alone

Answerable using both statements together, but not either alone

Each item contains a question followed by two statements. Answer using these instructions: (a) if the question can be answered using one of the statements alone, but cannot be answered using the other statement (b) if the question can be answered using either statement alone (c) if the question can be answered using both the statements together, but cannot be answered using either statement alone (d) if the question cannot be answered even using any of the statements Question: If x, y and z are integers, each greater than 1, then is x a prime number? Statement I: xy² = 116 Statement II: xz = 261

Answerable using one statement alone, but not the other

Answerable using either statement alone

Answerable using both statements together, but not either alone

Cannot be answered even using both statements

Read the following passage and answer the item that follows. Your answer should be based solely on the passage. Passage: 'Kalagram', the cultural village set up at the Maha Kumbh Mela, unfolded as a mosaic of India's diverse regions, each represented by seven meticulously crafted 'Sanskriti Angans'—stepping through the grand portal was like entering another world. These thematic zones, inspired by iconic temples like the Dakshineshwar Kali Temple and the Brahma Mandir, were treasure troves of regional artistry. Bengal's Pattachitra paintings, Assam's bamboo crafts, Tamil Nadu's Thanjavur paintings, and Madhya Pradesh's tribal sculpture—all were showcased in these living galleries where 230 master artisans breathed life into them using age-old techniques, their hands shaping India's ancient history into creations to behold. Which one of the following statements is NOT correct?

Paintings from four States of India have been mentioned.

Stepping into Kalagram is likened to stepping into another world.

The Angans have been described as living galleries.

Kalagram is divided into thematic zones, inspired by well-known temples of India.

The weight of X, in kg, is denoted by X. The weights of A, B, C, D, P, Q, R and S are measured. Given: A + B + C + D = 17 A + C = 6 P + Q + S + D = 15 P + Q + R + B = 17 P = R and Q = S Which one of the following statements is correct?

P and Q together weigh more than the total weight of A and C.

B and D together weigh less than the total weight of P and Q.

P has a son and a daughter. S is the mother of T. S is R's spouse. Q and R are children of P. Then how is Q related to S?

Q is a sister of the husband of S

Civil Services Examination Prelims 2026 प्रश्नपत्र, उत्तर सहित

Q1प्रश्न खोलें
Each item contains a question followed by two statements. Answer using these instructions: (a) if the question can be answered using one of the statements alone, but cannot be answered using the other statement (b) if the question can be answered using either statement alone (c) if the question can be answered using both the statements together, but cannot be answered using either statement alone (d) if the question cannot be answered even using any of the statements Question: X receives three coins of different denominations: 1, 2, 5, 10 and 20. If the total amount received by X is m, does X receive a coin of denomination 5? Statement I: m is not a prime number. Statement II: The sum of the digits of m is greater than 5.
1. Answerable using one statement alone, but not the other
2. Answerable using either statement alone
3. Answerable using both statements together, but not either alone
4. Cannot be answered even using both statements
उत्तर देखें और व्याख्या
उत्तर: (A) Answerable using one statement alone, but not the other
व्याख्या
Possible sums of three different coins: 8, 13, 23, 16, 26, 31, 17, 27, 32, 35. Statement I (m not prime) leaves 8, 16, 26, 27, 32, 35; 32 = 2+10+20 has no 5-coin, so I is insufficient. Statement II (digit sum > 5) leaves 8, 16, 26, 17, 27, 35, and every one of these includes the 5-coin, so II alone answers it.
Q2प्रश्न खोलें
Each item contains a question followed by two statements. Answer using these instructions: (a) if the question can be answered using one of the statements alone, but cannot be answered using the other statement (b) if the question can be answered using either statement alone (c) if the question can be answered using both the statements together, but cannot be answered using either statement alone (d) if the question cannot be answered even using any of the statements Question: For two distinct real numbers x and y, which of them is bigger? Statement I: x² < y < 1 Statement II: y < √x < 1
1. Answerable using one statement alone, but not the other
2. Answerable using either statement alone
3. Answerable using both statements together, but not either alone
4. Cannot be answered even using both statements
उत्तर देखें और व्याख्या
उत्तर: (D) Cannot be answered even using both statements
व्याख्या
Even together (x² < y < √x with 0 < x < 1), y can be on either side of x: with x = 0.25, y can be anything between 0.0625 and 0.5, e.g. 0.1 (y < x) or 0.4 (y > x). So the question cannot be answered.
Q3प्रश्न खोलें
Each item contains a question followed by two statements. Answer using these instructions: (a) if the question can be answered using one of the statements alone, but cannot be answered using the other statement (b) if the question can be answered using either statement alone (c) if the question can be answered using both the statements together, but cannot be answered using either statement alone (d) if the question cannot be answered even using any of the statements Question: If x and y are integers, then is x even? Statement I: x²y² is even. Statement II: 1 + x² + y² is odd.
1. Answerable using one statement alone, but not the other
2. Answerable using either statement alone
3. Answerable using both statements together, but not either alone
4. Cannot be answered even using both statements
उत्तर देखें और व्याख्या
उत्तर: (C) Answerable using both statements together, but not either alone
व्याख्या
I says at least one of x, y is even. II says x² + y² is even, so x and y have the same parity. Together both must be even, so x is even. Neither alone suffices.
Q4प्रश्न खोलें
Each item contains a question followed by two statements. Answer using these instructions: (a) if the question can be answered using one of the statements alone, but cannot be answered using the other statement (b) if the question can be answered using either statement alone (c) if the question can be answered using both the statements together, but cannot be answered using either statement alone (d) if the question cannot be answered even using any of the statements Question: X is a collection of certain odd numbers whereas Y is a collection of certain even numbers. T consists of the numbers all of which are either from X or from Y. Is every number of T from Y? Statement I: The sum of any two numbers belonging to T is even. Statement II: If both p and q are picked from T, then (p - 1)q is even.
1. Answerable using one statement alone, but not the other
2. Answerable using either statement alone
3. Answerable using both statements together, but not either alone
4. Cannot be answered even using both statements
उत्तर देखें और व्याख्या
उत्तर: (D) Cannot be answered even using both statements
व्याख्या
Both statements only tell us all numbers of T have the same parity: all odd works ((odd-1)·odd is even) and all even works too. So we cannot tell whether T's numbers come from Y.
Q5प्रश्न खोलें
Each item contains a question followed by two statements. Answer using these instructions: (a) if the question can be answered using one of the statements alone, but cannot be answered using the other statement (b) if the question can be answered using either statement alone (c) if the question can be answered using both the statements together, but cannot be answered using either statement alone (d) if the question cannot be answered even using any of the statements Question: If x, y and z are integers, each greater than 1, then is x a prime number? Statement I: xy² = 116 Statement II: xz = 261
1. Answerable using one statement alone, but not the other
2. Answerable using either statement alone
3. Answerable using both statements together, but not either alone
4. Cannot be answered even using both statements
उत्तर देखें और व्याख्या
उत्तर: (A) Answerable using one statement alone, but not the other
व्याख्या
116 = 2²·29, so with y > 1, y = 2 and x = 29 (prime): I is sufficient. 261 = 3²·29, so x could be 3, 9, 29 or 87: II is insufficient.
Q6प्रश्न खोलें
Read the following passage and answer the item that follows. Your answer should be based solely on the passage. Passage: 'Kalagram', the cultural village set up at the Maha Kumbh Mela, unfolded as a mosaic of India's diverse regions, each represented by seven meticulously crafted 'Sanskriti Angans'—stepping through the grand portal was like entering another world. These thematic zones, inspired by iconic temples like the Dakshineshwar Kali Temple and the Brahma Mandir, were treasure troves of regional artistry. Bengal's Pattachitra paintings, Assam's bamboo crafts, Tamil Nadu's Thanjavur paintings, and Madhya Pradesh's tribal sculpture—all were showcased in these living galleries where 230 master artisans breathed life into them using age-old techniques, their hands shaping India's ancient history into creations to behold. Which of the following conclusions are valid? 1. Seven Sanskriti Angans, representing different regions of India, had been showcased in Kalagram. 2. Regional artistry was recognised via the inspiration drawn from iconic temples. 3. India's ancient history had been crafted by the contemporary craftsmanship of 230 artisans into creations to behold. 4. Art forms from all regions of India had been showcased in these living galleries. Select the answer using the code given below.
1. 1 and 2 only
2. 2, 3 and 4
3. 1, 2 and 4
4. 1 and 3
उत्तर देखें और व्याख्या
उत्तर: (D) 1 and 3
व्याख्या
The passage says the seven Angans represented India's diverse regions (1) and that 230 artisans shaped India's ancient history into creations (3). It does not say artistry was 'recognised via' temple inspiration (2), and only a few states' art forms are named, not all regions (4). (Provisional answer; verify with the official key.)
Q7प्रश्न खोलें
Read the following passage and answer the item that follows. Your answer should be based solely on the passage. Passage: 'Kalagram', the cultural village set up at the Maha Kumbh Mela, unfolded as a mosaic of India's diverse regions, each represented by seven meticulously crafted 'Sanskriti Angans'—stepping through the grand portal was like entering another world. These thematic zones, inspired by iconic temples like the Dakshineshwar Kali Temple and the Brahma Mandir, were treasure troves of regional artistry. Bengal's Pattachitra paintings, Assam's bamboo crafts, Tamil Nadu's Thanjavur paintings, and Madhya Pradesh's tribal sculpture—all were showcased in these living galleries where 230 master artisans breathed life into them using age-old techniques, their hands shaping India's ancient history into creations to behold. Which one of the following statements is NOT correct?
1. Paintings from four States of India have been mentioned.
2. Stepping into Kalagram is likened to stepping into another world.
3. The Angans have been described as living galleries.
4. Kalagram is divided into thematic zones, inspired by well-known temples of India.
उत्तर देखें और व्याख्या
उत्तर: (A) Paintings from four States of India have been mentioned.
व्याख्या
Only two kinds of paintings are mentioned (Bengal's Pattachitra and Tamil Nadu's Thanjavur); Assam is mentioned for bamboo crafts and Madhya Pradesh for tribal sculpture.
Q8प्रश्न खोलें
The weight of X, in kg, is denoted by X. The weights of A, B, C, D, P, Q, R and S are measured. Given: A + B + C + D = 17 A + C = 6 P + Q + S + D = 15 P + Q + R + B = 17 P = R and Q = S Which one of the following statements is correct?
1. B and D together weigh less than the total weight of P and Q.
2. P and Q together weigh more than the total weight of A and C.
3. P weighs more than Q.
4. Q weighs more than P.
उत्तर देखें और व्याख्या
उत्तर: (B) P and Q together weigh more than the total weight of A and C.
व्याख्या
B + D = 11. Using P = R and Q = S: P + 2Q + D = 15 and 2P + Q + B = 17. Adding: 3(P + Q) + (B + D) = 32, so P + Q = 7 > A + C = 6. P versus Q cannot be fixed.
Q9प्रश्न खोलें
How many words can one form by shuffling the letters of the word QUEUE, if Q is always followed by U? The words thus formed need not necessarily have any meaning.
1. 6
2. 8
3. 10
4. 12
उत्तर देखें और व्याख्या
उत्तर: (D) 12
व्याख्या
Treat 'QU' as one block. Units: QU, U, E, E. Arrangements = 4!/2! = 12.
Q10प्रश्न खोलें
X, Y and Z jump forward 4', 6' and 5', respectively. At 8 AM, they all land on mark 199'. How many times will they all land on the same mark (need not be at the same moment) between mark 195' and 1000', if all of them cross mark 1000' by 9 AM?
1. 11
2. 12
3. 13
4. 14
उत्तर देखें और व्याख्या
उत्तर: (D) 14
व्याख्या
Common landing marks are 199 + 60k (LCM of 4, 6, 5 = 60). 199 + 60k ≤ 1000 gives k = 0 to 13, i.e. 14 marks.
Q11प्रश्न खोलें
Read the following passage and answer the item that follows. Your answer should be based solely on the passage. Passage: Sport is not just about winning medals or getting jobs through a sports quota. Today's generation is struggling with issues like depression and anxiety. Parents often say that their children are inactive and rarely leave the house. Sport can help tackle these problems. From sport you can learn time management, fitness, teamwork, coordination, and so much more. We need to develop a culture in which sport is seen as a way of life—a path to building a healthier, happier society. Which of the following conclusions are valid? 1. Sport is more than just games; it is a way of life. 2. Sport can help mitigate the problems of seclusion among the young. 3. Earning laurels in sport can help one secure a job on the basis of an assigned quota. 4. Standard corporate sector skills cannot be learnt through sport. Select the answer using the code given below.
1. 1 and 3 only
2. 2 and 4 only
3. 1, 2 and 4
4. 1, 2 and 3
उत्तर देखें और व्याख्या
उत्तर: (D) 1, 2 and 3
व्याख्या
The passage calls sport a way of life (1), says it can tackle children being inactive and staying indoors (2), and acknowledges jobs through a sports quota (3). It says sport teaches time management and teamwork, so 4 is wrong.
Q12प्रश्न खोलें
Read the following passage and answer the item that follows. Your answer should be based solely on the passage. Passage: Sport is not just about winning medals or getting jobs through a sports quota. Today's generation is struggling with issues like depression and anxiety. Parents often say that their children are inactive and rarely leave the house. Sport can help tackle these problems. From sport you can learn time management, fitness, teamwork, coordination, and so much more. We need to develop a culture in which sport is seen as a way of life—a path to building a healthier, happier society. Which of the following statements is/are correct? 1. Parents are not encouraging enough when it comes to children playing sport. 2. Participation in sporting activities can help develop life skills. 3. Sport as a way of life can help evolve the very nature of society itself. Select the answer using the code given below.
1. 1 and 3
2. 2 and 3
3. 2 only
4. 3 only
उत्तर देखें और व्याख्या
उत्तर: (B) 2 and 3
व्याख्या
Sport teaches time management, teamwork and coordination (2), and a culture of sport is a path to a healthier, happier society (3). Parents' lack of encouragement is not stated (1).
Q13प्रश्न खोलें
A toy T jumps forward or backward. In each forward jump it moves 5' forward whereas in each backward jump it moves 2' backward. If in 31 jumps T moves exactly 15' forward, then what is the difference of the number of forward and backward jumps?
1. 6
2. 7
3. 8
4. 9
उत्तर देखें और व्याख्या
उत्तर: (D) 9
व्याख्या
f + b = 31 and 5f - 2b = 15. Then 7f = 77, f = 11, b = 20; difference = 9.
Q14प्रश्न खोलें
Eight persons P, Q, R, S, T, U, V and W sit around a round table in eight different seats placed with equal distance between any two consecutive seats. Both P and R are adjacent to Q. Both T and R are adjacent to S. Both U and W are adjacent to V. S and W are on opposite chairs. If while going in the clockwise direction around the table from P, one meets R before T, then how many persons shall Q cross while moving in the clockwise direction around the table before meeting W?
1. 5
2. 4
3. 2
4. 1
उत्तर देखें और व्याख्या
उत्तर: (A) 5
व्याख्या
Order is P-Q-R-S-T consecutively; the remaining three seats hold U-V-W with V in the middle. W must be opposite S, fixing clockwise order P, Q, R, S, T, U, V, W. From Q to W, Q passes R, S, T, U, V = 5 persons.
Q15प्रश्न खोलें
The top of a table is rectangular and its dimensions are 6' × 10'. Two rectangular portions of the table top are painted in blue colour; both these portions have dimensions 2.5' × 8' and each of them has exactly two sides common with two edges of the table top. If the table is fixed to the ground and the remaining portion of the table top is painted in white, how many different patterns are possible when observed from above?
1. 2
2. 4
3. 6
4. 8
उत्तर देखें और व्याख्या
उत्तर: (B) 4
व्याख्या
Each blue strip must lie in a corner with its 8' side along a 10' edge (8' cannot fit along 6'). Two strips on the same long edge would overlap (8 + 8 > 10), so one sits on each long edge, at the left or right end: 2 × 2 = 4 patterns.
Q16प्रश्न खोलें
Read the following passage and answer the item that follows. Your answer should be based solely on the passage. Passage: How is deflation done? Most countries use a method called 'double deflation', where input and output prices are deflated separately. Consider a manufacturer importing oil for use in production. If oil prices fall, output prices do not and quantities remain the same, real value added should not change. But if the same deflator is used for inputs and outputs, as in India, it would look as if the manufacturer had become more productive. Which of the following statements is/are correct? 1. Real value should not change in the instance of static output cost and unchanged quantities against falling oil prices. 2. Deflators are to be used separately for inputs and outputs, and this is a practice universally adopted by all economies. Select the answer using the code given below.
1. 1 only
2. 2 only
3. Both 1 and 2
4. Neither 1 nor 2
उत्तर देखें और व्याख्या
उत्तर: (A) 1 only
व्याख्या
The passage says real value added should not change when oil prices fall but output prices and quantities stay the same. Double deflation is used by most countries, not all; India uses a single deflator.
Q17प्रश्न खोलें
Read the following passage and answer the item that follows. Your answer should be based solely on the passage. Passage: How is deflation done? Most countries use a method called 'double deflation', where input and output prices are deflated separately. Consider a manufacturer importing oil for use in production. If oil prices fall, output prices do not and quantities remain the same, real value added should not change. But if the same deflator is used for inputs and outputs, as in India, it would look as if the manufacturer had become more productive. Which of the following assumptions is/are valid? 1. Deflation strategies can be used to make manufacturers appear to be doing better than they actually are. 2. When input and output prices are both deflated against a single input price, it is referred to as 'double deflation'. Select the answer using the code given below.
1. 1 only
2. 2 only
3. Both 1 and 2
4. Neither 1 nor 2
उत्तर देखें और व्याख्या
उत्तर: (A) 1 only
व्याख्या
Using one deflator for both inputs and outputs makes the manufacturer look more productive (1). Double deflation means deflating inputs and outputs separately, so 2 is wrong.
Q18प्रश्न खोलें
A pattern formed by two characters a and b is repeated more than once in the following string: × b × a × a × × a × a × bab What is ×× in the 7th and 8th positions from the left in the above string?
1. aa
2. ab
3. ba
4. bb
उत्तर देखें और व्याख्या
उत्तर: (D) bb
व्याख्या
Known letters fit a repeating block of 5, 'abbab': positions 1-15 read abbab abbab abbab. Positions 7 and 8 are both 'b'.
Q19प्रश्न खोलें
If 10^m × 1000 × n = 75^25 × 25^32 × 32^75, where n is not divisible by 10, then the value of m is
1. 101
2. 111
3. 121
4. 131
उत्तर देखें और व्याख्या
उत्तर: (B) 111
व्याख्या
RHS = 3^25 · 5^114 · 2^375. The power of 10 is min(114, 375) = 114 = m + 3, so m = 111.
Q20प्रश्न खोलें
The speed of a train T is 100 km per hour and the speed of a person P is 4 km per hour. T crosses P in 15 seconds if P travels along the direction of motion of T. If P travels along the opposite direction of T, then in how much time does T cross P, in seconds, approximately?
1. 13.51
2. 13.65
3. 13.85
4. 14.05
उत्तर देखें और व्याख्या
उत्तर: (C) 13.85
व्याख्या
Train length = (96 × 5/18) × 15 = 400 m. Opposite direction: 104 km/h = 28.89 m/s, so time = 400/28.89 ≈ 13.85 s.
Q21प्रश्न खोलें
For 1/3 < x < y < 2, which of the following statements are always correct? I. x + 1/x < y + 1/y II. √(1 + y²)/y < √(1 + x²)/x Select the answer using the code given below.
1. I only
2. II only
3. Both I and II
4. Neither I nor II
उत्तर देखें और व्याख्या
उत्तर: (B) II only
व्याख्या
t + 1/t decreases on (0, 1), so I fails (x = 0.5, y = 1 gives 2.5 > 2). √(1 + t²)/t = √(1/t² + 1) is strictly decreasing for t > 0, so II always holds.
Q22प्रश्न खोलें
What is the minimum number of times one needs to measure to get 298 litres of water from a tank, if the measuring cylinders have capacities 1 litre, 6 litres, 25 litres and 100 litres?
1. 4
2. 5
3. 9
4. 13
उत्तर देखें और व्याख्या
उत्तर: (B) 5
व्याख्या
Take out 100 litres three times (300 L) and put back 1 litre twice: 5 measurements. Four measurements cannot make 298.
Q23प्रश्न खोलें
There are four types of weights, namely 1 kg, 2 kg, 5 kg and 10 kg. What is the maximum number of ways one can measure 20 kg, if at least eight but not more than eleven weights of 1 kg are to be used while measuring?
1. 7
2. 8
3. 9
4. 10
उत्तर देखें और व्याख्या
उत्तर: (B) 8
व्याख्या
With 8 one-kg weights, 12 kg from 2, 5, 10: 3 ways. With 9: 11 kg: 1 way. With 10: 10 kg: 3 ways. With 11: 9 kg: 1 way. Total 8.
Q24प्रश्न खोलें
A cut on a solid object divides the object into two parts where the new surfaces thus produced are plane. On the other hand, one single cut can be used to cut more than one object at a time. In an experiment, the total number of pieces produced by applying n cuts is denoted by x_n. The experiment is performed on a solid cube where pieces remain unmoved after each cut. In this experiment, if after the third cut the pieces are identical, then which of the following is NOT a possible value for x_4?
1. 16
2. 12
3. 8
4. 5
उत्तर देखें और व्याख्या
उत्तर: (A) 16
व्याख्या
Three cuts giving identical pieces yield 4 slabs, 6 blocks or 8 small cubes. A fourth plane can cut at most 7 of the 8 octants, giving at most 15 pieces, so 16 is impossible; 5, 8 and 12 are achievable.
Q25प्रश्न खोलें
The class average x in a test increases by 4 when the score of a student is rectified, whose corrected score is 100 instead of 0. Later, the score of another student was found to have been recorded as 81 in place of 56. If there are no other corrections and the final corrected average is y, then y - x is
1. 2
2. 3
3. 5
4. 6
उत्तर देखें और व्याख्या
उत्तर: (B) 3
व्याख्या
An increase of 100 raises the average by 4, so there are 25 students. The second correction subtracts 25, lowering the average by 1. Net change y - x = 4 - 1 = 3.
Q26प्रश्न खोलें
Read the following passage and answer the item that follows. Your answer should be based solely on the passage. Passage: When SARS-CoV-2 was first detected in 2019, it was a truly novel virus for the world. At that time, no one in the world had been exposed to SARS-CoV-2 or had specific immunity against it. In contrast, people across the world have been exposed to HMPV for decades and the virus is well-studied. HMPV and SARS-CoV-2 belong to two very different virus families with fundamentally different characteristics and epidemiology, with strong seasonality seen in HMPV, unlike SARS-CoV-2. Both viruses cause different severity of symptoms, particularly over the long term, and the affected population segments do not fully overlap. In general, HMPV causes milder illness with deaths being very rare and with no long-term post-viral symptoms. Which of the following conclusions is/are valid? 1. Though SARS-CoV-2 and HMPV are similar viruses with somewhat different epidemiology, the former became a pandemic because it was novel and people had not been exposed to it in the past. 2. The two viruses have fundamentally different impacts on human populations and should not therefore be dealt with in a similar manner. Select the answer using the code given below.
1. 1 only
2. 2 only
3. Both 1 and 2
4. Neither 1 nor 2
उत्तर देखें और व्याख्या
उत्तर: (B) 2 only
व्याख्या
Statement 1 calls them 'similar viruses', but the passage says they belong to very different families. The passage stresses their different severity, epidemiology and affected groups, supporting a different response. (Provisional answer; verify with the official key.)
Q27प्रश्न खोलें
Read the following passage and answer the item that follows. Your answer should be based solely on the passage. Passage: When SARS-CoV-2 was first detected in 2019, it was a truly novel virus for the world. At that time, no one in the world had been exposed to SARS-CoV-2 or had specific immunity against it. In contrast, people across the world have been exposed to HMPV for decades and the virus is well-studied. HMPV and SARS-CoV-2 belong to two very different virus families with fundamentally different characteristics and epidemiology, with strong seasonality seen in HMPV, unlike SARS-CoV-2. Both viruses cause different severity of symptoms, particularly over the long term, and the affected population segments do not fully overlap. In general, HMPV causes milder illness with deaths being very rare and with no long-term post-viral symptoms. Which of the following reflect the intent of the writer in the above passage? 1. To evolve methodologies for objective analysis of the two viruses 2. To establish the epidemiological similarities and differences between the two viruses 3. To offer a better understanding of the remedies of HMPV when analysed in conjunction with SARS-CoV-2 Select the answer using the code given below.
1. 1 and 2
2. 2 and 3
3. 1 and 3
4. None of the above
उत्तर देखें और व्याख्या
उत्तर: (D) None of the above
व्याख्या
The writer contrasts the two viruses to show HMPV is familiar and milder; no methodology or remedies are discussed. Since no option pairs are fully supported, 'None of the above' fits. (Provisional answer; verify with the official key.)
Q28प्रश्न खोलें
Read the following passage and answer the item that follows. Your answer should be based solely on the passage. Passage: When SARS-CoV-2 was first detected in 2019, it was a truly novel virus for the world. At that time, no one in the world had been exposed to SARS-CoV-2 or had specific immunity against it. In contrast, people across the world have been exposed to HMPV for decades and the virus is well-studied. HMPV and SARS-CoV-2 belong to two very different virus families with fundamentally different characteristics and epidemiology, with strong seasonality seen in HMPV, unlike SARS-CoV-2. Both viruses cause different severity of symptoms, particularly over the long term, and the affected population segments do not fully overlap. In general, HMPV causes milder illness with deaths being very rare and with no long-term post-viral symptoms. Which of the following statements reflect the logical and rational inferences that can be drawn from the passage? 1. HMPV has, historically, had longer documentation of studies when compared with SARS-CoV-2. 2. The two viruses are different from each other and this results in markedly different outcomes amongst those affected. 3. Long-term impacts of the two viruses are dissimilar and this is an important differentiator between them. 4. One of the common factors between the two viruses is seasonal specificity. Select the answer using the code given below.
1. 1 and 2 only
2. 1, 2 and 3
3. 3 and 4
4. 1 and 3 only
उत्तर देखें और व्याख्या
उत्तर: (B) 1, 2 and 3
व्याख्या
HMPV has been known and studied for decades (1); they differ in severity and outcomes (2), especially long-term (3). Seasonality is seen in HMPV but not SARS-CoV-2, so 4 is wrong.
Q29प्रश्न खोलें
Three variables x, y and z take values 2, 3, 4 or 5 such that their values are always distinct. If M and N denote the largest possible value and the smallest possible value, respectively, of the expression {(x × y) + z}, then M - N is
1. 11
2. 12
3. 13
4. 14
उत्तर देखें और व्याख्या
उत्तर: (C) 13
व्याख्या
Maximum = 5×4 + 3 = 23; minimum = 2×3 + 4 = 10. M - N = 13.
Q30प्रश्न खोलें
Suppose x, y and z are variables taking positive real numbers as their possible values. It is given that y is directly proportional to x² and x is inversely proportional to z. For z = 7/25, the values of x and y are 5 and 50, respectively. If y = 98, what is z equal to?
1. 1/7
2. 1/5
3. 5/7
4. 1
उत्तर देखें और व्याख्या
उत्तर: (B) 1/5
व्याख्या
y ∝ x² and x ∝ 1/z give y ∝ 1/z², so yz² is constant: 50 × (7/25)² = 98 × z², giving z² = 1/25 and z = 1/5.
Q31प्रश्न खोलें
Read the following passage and answer the item that follows. Your answer should be based solely on the passage. Passage: India is starting to deploy AI for critical use cases such as weather forecasting, pest detection and control, and crop yield optimisation. However, penetration is limited to a small subset of tech-savvy farmers. In the US and in Europe, generative AI tools have started offering precision farming at scale, integrating large datasets to provide real-time agronomic insights. For at-scale integration and accessibility of AI tools in India, it would be helpful to develop Indian languages-based AI tools for smallholder farmers, partner with AgTechs to create affordable AI solutions, and disseminate AI-based advisory services through government programmes. Which of the following assumptions is/are valid? 1. Agricultural productivity has marched ahead in the West because of the economies of scale facilitated by the adoption of AI tools. 2. Affordable AI tools rendered available in local languages can help AI-based solutions reach more and more small farmers. 3. Though penetration is as yet low, critical application areas deploying AI tools are already in use in India. Select the answer using the code given below.
1. 1, 2 and 3
2. 2 only
3. 1 and 3 only
4. 2 and 3 only
उत्तर देखें और व्याख्या
उत्तर: (D) 2 and 3 only
व्याख्या
The passage suggests local-language, affordable tools for smallholders (2) and says India has begun deploying AI in critical areas with limited penetration (3). It does not attribute Western productivity to AI (1).
Q32प्रश्न खोलें
Read the following passage and answer the item that follows. Your answer should be based solely on the passage. Passage: India is starting to deploy AI for critical use cases such as weather forecasting, pest detection and control, and crop yield optimisation. However, penetration is limited to a small subset of tech-savvy farmers. In the US and in Europe, generative AI tools have started offering precision farming at scale, integrating large datasets to provide real-time agronomic insights. For at-scale integration and accessibility of AI tools in India, it would be helpful to develop Indian languages-based AI tools for smallholder farmers, partner with AgTechs to create affordable AI solutions, and disseminate AI-based advisory services through government programmes. Which of the following statements is/are NOT correct? 1. Tech-savvy farmers will drive the AgTech companies of the future. 2. The development of advisory services by the government programmes for the use of AI tools in agriculture would be helpful. 3. In the US and Europe, AI tools have replaced traditional agricultural practices. 4. The integration of large datasets for use in real-time agronomic analysis is already a reality. Select the answer using the code given below.
1. 1 and 3 only
2. 1, 3 and 4
3. 2 and 4
4. 3 only
उत्तर देखें और व्याख्या
उत्तर: (A) 1 and 3 only
व्याख्या
Nothing says tech-savvy farmers will drive AgTechs (1) or that AI replaced traditional practices (3). Government advisory services (2) and large-dataset integration in the US/Europe (4) are in the passage.
Q33प्रश्न खोलें
P, Q, R, S and T are ranked 1 to 5 (not necessarily in that order). The rank of P is 4, the rank of Q is not 5, the rank of R is 1, the rank of S is not 2, the rank of T is not 3. Then which of the following is/are correct? I. If the rank of S is 3, then that of T is 2. II. If the rank of Q is 3, then that of T is 5. Select the answer using the code given below.
1. I only
2. II only
3. Both I and II
4. Neither I nor II
उत्तर देखें और व्याख्या
उत्तर: (D) Neither I nor II
व्याख्या
Q, S, T take ranks 2, 3, 5 with Q ≠ 5, S ≠ 2, T ≠ 3. If S = 3, then Q = 2 and T = 5 (I false). If Q = 3, then S = 5 and T = 2 (II false).
Q34प्रश्न खोलें
Two identical straight rods are painted in five distinct colours so that each of them gets divided into five equal parts along the length. In one of them, the portions are marked P1, P2, P3, P4 and P5 (not necessarily in that order) whereas in the other, they are marked Q1, Q2, Q3, Q4 and Q5 (not necessarily in that order). When the rods are kept parallel to each other side by side, P1 and Q3 match, P4 matches Q1 or Q2, and Q4 matches P3 or P5. If Q3 and Q5 are adjacent, which of the following is/are possible? I. Q3 is marked at the middle portion of the straight rod. II. P2 is marked at one of the extreme portions of the straight rod. Select the answer using the code given below.
1. I only
2. II only
3. Both I and II
4. Neither I nor II
उत्तर देखें और व्याख्या
उत्तर: (C) Both I and II
व्याख्या
Example for I: Q-rod Q1 Q5 Q3 Q2 Q4 with P-rod P4 _ P1 _ P3. Example for II: Q-rod Q1 Q2 Q3 Q5 Q4 with P-rod P2 P4 P1 P5 P3. Both arrangements satisfy all conditions.
Q35प्रश्न खोलें
Seven persons A, B, C, D, E, F and G travel by three cars X, Y, Z. A and another two of them travel by X. Only E travels with G. C travels by Z, but B does not travel by Y. Besides, A and B do not travel by the same car. Then which of the following are correct? I. No one travels alone. II. Only D travels with F. III. Only C travels with B. Select the answer using the code given below.
1. I and II only
2. I and III only
3. II and III only
4. All the three
उत्तर देखें और व्याख्या
उत्तर: (B) I and III only
व्याख्या
B cannot be in Y or X, so B is in Z with C. E and G travel only together, so they are in Y. D and F join A in X. F travels with both A and D, so II is false.
Q36प्रश्न खोलें
There are four statements X, Y, Z and W. Their relations are as follows: If X is incorrect, then so is Z; if Y is incorrect, then W is correct; if W is correct, then X is incorrect. Which of the following is/are correct? I. If X is correct, then so is Y. II. If Z is correct, then it is not necessary that Y is correct. Select the answer using the code given below.
1. I only
2. II only
3. Both I and II
4. Neither I nor II
उत्तर देखें और व्याख्या
उत्तर: (A) I only
व्याख्या
Y incorrect → W correct → X incorrect, so by contrapositive X correct → Y correct (I). If Z is correct then X is correct (contrapositive of the first rule), so Y must be correct, making II false.
Q37प्रश्न खोलें
X and Y are two runners who run for the same duration of time on the same circular track. They started running at the same time in the same direction with uniform speeds. When X completed 7 rounds, Y did exactly 5. After completing 5 rounds, Y changed his direction and started running in the opposite direction with speed which is double of his earlier speed. On the other hand, X continued to run with the same speed. They stopped running when X completed exactly 21 rounds. How many times did X and Y meet after they had started and before they finally stopped?
1. 35
2. 34
3. 31
4. 29
उत्तर देखें और व्याख्या
उत्तर: (A) 35
व्याख्या
Phase 1 (same direction, speeds 7:5): X gains 2 laps, i.e. 2 meetings. Phase 2 (opposite, speeds 7 and 10, X runs 14 more laps over twice the time): relative laps = 34. Total 36 meetings, the last at the finishing instant, so 35 before they stopped.
Q38प्रश्न खोलें
In an objective type question paper, 5 marks are awarded for a correct answer and 2 marks are deducted for a wrong answer. A student attempted all the questions and got a score of 69. Had he been awarded 4 marks for a correct answer and 1 mark deducted for a wrong answer, he would have scored 84. How many questions were there in the question paper?
1. 99
2. 81
3. 84
4. 79
उत्तर देखें और व्याख्या
उत्तर: (B) 81
व्याख्या
5c - 2w = 69 and 4c - w = 84 give c = 33, w = 48; total 81.
Q39प्रश्न खोलें
Read the following passage and answer the item that follows. Your answer should be based solely on the passage. Passage: The Juvenile Justice (Care and Protection of Children) Act, or the JJ Act, 2015 allows for the possibility of trying adolescents above 16 as adults if they are accused of committing a heinous offence. A heinous offence is one with a minimum punishment of seven years. Offences such as culpable homicide and causing death by negligence, which are common in drunken driving cases, are not heinous offences because they do not have a prescribed minimum punishment. The JJ Act, amended in 2021, now categorises an offence that has no minimum sentence, but has a maximum sentence of seven years or more as a serious offence which nonetheless, in the opinion of activists, does not merit the transfer of a case to the adult criminal justice system. Which of the following conclusions is/are valid? 1. Only a serious offence as categorised by the revised JJ Act, justifies the transfer of a case to the adult judicial system. 2. The JJ Act, 2021, categorises an offence as a serious offence based on the maximum sentence it carries, rather than on the minimum sentence. Select the answer using the code given below.
1. 1 only
2. 2 only
3. Both 1 and 2
4. Neither 1 nor 2
उत्तर देखें और व्याख्या
उत्तर: (B) 2 only
व्याख्या
Transfer to the adult system is linked to heinous offences, and activists say serious offences do not merit it, so 1 is wrong. The 2021 amendment defines serious offences by a maximum sentence of 7+ years with no minimum (2).
Q40प्रश्न खोलें
Read the following passage and answer the item that follows. Your answer should be based solely on the passage. Passage: The Juvenile Justice (Care and Protection of Children) Act, or the JJ Act, 2015 allows for the possibility of trying adolescents above 16 as adults if they are accused of committing a heinous offence. A heinous offence is one with a minimum punishment of seven years. Offences such as culpable homicide and causing death by negligence, which are common in drunken driving cases, are not heinous offences because they do not have a prescribed minimum punishment. The JJ Act, amended in 2021, now categorises an offence that has no minimum sentence, but has a maximum sentence of seven years or more as a serious offence which nonetheless, in the opinion of activists, does not merit the transfer of a case to the adult criminal justice system. Which of the following statements is/are correct? 1. If an offence has no minimum prescribed punishment, it cannot be considered heinous as per the JJ Act, 2015. 2. As per the JJ Act, 2021, an offence for which there is a provision for a maximum sentence of seven years or more, but no minimum sentence, is to be considered a serious offence. Select the answer using the code given below.
1. 1 only
2. 2 only
3. Both 1 and 2
4. Neither 1 nor 2
उत्तर देखें और व्याख्या
उत्तर: (C) Both 1 and 2
व्याख्या
A heinous offence needs a minimum punishment of seven years, so offences without a minimum are not heinous (1). Statement 2 restates the 2021 amendment.
Q41प्रश्न खोलें
An explosion takes place at a certain distance from an army camp. As soon as the sensor in the camp receives the sound of the explosion, a drone starts flying towards the spot of explosion. The drone clicks a picture from the spot and the camp receives it at the same time. Immediately another drone starts flying to the spot and it also sends a picture as soon as it reaches the spot. The two pictures were received at 5:02 PM and 5:05 PM, respectively. If the speed of the drones is 30 m/s, at what time did the explosion take place? Assume that the speed of sound is 300 m/s.
1. 4:59:00 PM
2. 4:59:02 PM
3. 4:58:42 PM
4. 4:56:32 PM
उत्तर देखें और व्याख्या
उत्तर: (C) 4:58:42 PM
व्याख्या
The second drone flies 3 minutes: distance = 180 × 30 = 5400 m. The first drone also took 180 s, so it started at 4:59:00. Sound took 5400/300 = 18 s, so the explosion was at 4:58:42 PM.
Q42प्रश्न खोलें
The digit in the unit place of the number 6^129 × 7^307 is
1. 2
2. 4
3. 8
4. 6
उत्तर देखें और व्याख्या
उत्तर: (C) 8
व्याख्या
6^n ends in 6. 7's units cycle is 7, 9, 3, 1; 307 mod 4 = 3, so 7^307 ends in 3. 6 × 3 = 18, so the units digit is 8.
Q43प्रश्न खोलें
A person saves 10% of his salary every month. If his salary increases by 12% and the expenditure increases by 10%, then what will be the change in his saving per month?
1. 20% increase
2. 30% increase
3. 03% decrease
4. 02% decrease
उत्तर देखें और व्याख्या
उत्तर: (B) 30% increase
व्याख्या
Salary 100, spending 90, saving 10. New salary 112, spending 99, saving 13: a 30% increase.
Q44प्रश्न खोलें
P has a son and a daughter. S is the mother of T. S is R's spouse. Q and R are children of P. Then how is Q related to S?
1. Q is a sister of S
2. Q is a daughter of S
3. Q is the mother of S
4. Q is a sister of the husband of S
उत्तर देखें और व्याख्या
उत्तर: (D) Q is a sister of the husband of S
व्याख्या
S is a mother, so S is female and R (her spouse) is P's son. Q is therefore P's daughter, the sister of S's husband.
Q45प्रश्न खोलें
How many three-digit numbers can be expressed as an integral power of 2?
1. 1
2. 2
3. 3
4. 4
उत्तर देखें और व्याख्या
उत्तर: (C) 3
व्याख्या
128, 256 and 512.
Q46प्रश्न खोलें
Read the following passage and answer the item that follows. Your answer should be based solely on the passage. Passage: The key source of the battle for clean skies and clear lungs is the fuel we burn—from household Chulhas to the thermal power plants. In most cases, it is biomass or coal. The Supreme Court banned the use of pet coke—the dirtiest of such fuels. The Delhi Government banned the use of coal, which was later extended to the entire National Capital Region. It was also agreed that the thermal power plants would clean up or shut down. Action on this has been patchy to say the least. The lesson from the transition to CNG is that people need alternatives for a ban to be effective. When diesel buses were stopped, CNG supply had to be assured. It also had to be feasible in terms of cost. The Supreme Court agreed that fiscal measures were needed to keep clean fuel cheaper than dirty fuel. Now even as coal is banned, the price of natural gas makes industry uncompetitive. Which of the following inferences is/are correct? 1. The source of the energy we consume is the key to the battle for cleaner air. 2. Bans are effective where the will is strong and the people are convinced that such bans are for the greater good of society. 3. There is judicial approval for a policy that intervenes fiscally to facilitate benevolent pricing for cleaner fuel. Select the answer using the code given below.
1. 1 and 2
2. 2 and 3
3. 1 and 3
4. 1 only
उत्तर देखें और व्याख्या
उत्तर: (C) 1 and 3
व्याख्या
The fuel we burn is the key source of the battle (1), and the Supreme Court agreed fiscal measures should keep clean fuel cheaper (3). The passage says bans work when alternatives exist, not when people are convinced (2).
Q47प्रश्न खोलें
Read the following passage and answer the item that follows. Your answer should be based solely on the passage. Passage: The key source of the battle for clean skies and clear lungs is the fuel we burn—from household Chulhas to the thermal power plants. In most cases, it is biomass or coal. The Supreme Court banned the use of pet coke—the dirtiest of such fuels. The Delhi Government banned the use of coal, which was later extended to the entire National Capital Region. It was also agreed that the thermal power plants would clean up or shut down. Action on this has been patchy to say the least. The lesson from the transition to CNG is that people need alternatives for a ban to be effective. When diesel buses were stopped, CNG supply had to be assured. It also had to be feasible in terms of cost. The Supreme Court agreed that fiscal measures were needed to keep clean fuel cheaper than dirty fuel. Now even as coal is banned, the price of natural gas makes industry uncompetitive. Which of the following statements is/are correct? 1. Thermal power stations in Delhi were required to summarily shut down. 2. CNG supplies had to be assured once diesel vehicles were prohibited from plying. 3. The Supreme Court banned the use of coal across the National Capital Region. Select the answer using the code given below.
1. 1 and 2
2. 3 only
3. 2 only
4. 2 and 3
उत्तर देखें और व्याख्या
उत्तर: (C) 2 only
व्याख्या
Plants were to clean up or shut down (not summarily shut). The coal ban came from the Delhi Government and was extended to NCR; the Supreme Court banned pet coke. Only 2 is correct.
Q48प्रश्न खोलें
Consider the following statements: Every red is blue. Every blue is green. Every green is yellow. Which of the following statements denoted by P, Q and R are correct? P. Every blue is yellow. Q. Every red is green. R. Every red is yellow. Select the answer using the code given below.
1. P and Q only
2. Q and R only
3. P and R only
4. P, Q and R
उत्तर देखें और व्याख्या
उत्तर: (D) P, Q and R
व्याख्या
Red ⊂ Blue ⊂ Green ⊂ Yellow, so all three conclusions follow.
Q49प्रश्न खोलें
How many times does 5 appear in all two-digit positive integers?
1. 18
2. 19
3. 20
4. 21
उत्तर देखें और व्याख्या
उत्तर: (B) 19
व्याख्या
Tens place: 50-59 = 10 times. Units place: 15, 25, ..., 95 = 9 times. Total 19.
Q50प्रश्न खोलें
X travels 6 km on a bicycle with average speeds of 5 km per hour, 10 km per hour and 4 km per hour during the first 1 km, the next 2 km and the remaining 3 km, respectively. Y travels the same distances with average speeds of 4 km per hour, 10 km per hour and 5 km per hour, respectively. How many minutes early will Y complete the journey if both X and Y start at the same time?
1. 3
2. 4
3. 5
4. 6
उत्तर देखें और व्याख्या
उत्तर: (D) 6
व्याख्या
X: 1/5 + 2/10 + 3/4 = 1.15 h. Y: 1/4 + 2/10 + 3/5 = 1.05 h. Difference 0.1 h = 6 minutes.
Q51प्रश्न खोलें
Seven cubes are identical in shape. Out of these, the weight of each of the six cubes is equal and the weight of the remaining cube is less than the weight of any other cube. A balance is used to identify the lightest cube. What is the minimum number of attempts required to distinguish the odd cube with certainty?
1. 2
2. 3
3. 4
4. 1
उत्तर देखें और व्याख्या
उत्तर: (A) 2
व्याख्या
Weigh 3 vs 3. If they balance, the 7th is the light one. Otherwise take the lighter three and weigh 1 vs 1. Two weighings suffice (3² = 9 ≥ 7).
Q52प्रश्न खोलें
Read the following passage and answer the item that follows. Your answer should be based solely on the passage. Passage: Previous waves of customer-service technology, including email and those pesky voice menus, stoked concerns of job losses, only for them to fail to materialise. AI could yet prove different. And if it does, its effects may be salutary. Human agents could be freed up to spend more time on creative and rewarding tasks, like using feedback to make products and services better—and thereby spend less time listening to irate customers! Which one among the following statements most appropriately reflects the point of view of the given passage?
1. If AI were to take over customer service, there would be no work left for human subjects to do.
2. Irritating voice menus and email could not achieve human redundancy to the extent that AI might.
3. The value of human intervention in the workplace affected by AI might be enhanced through redirection towards more fulfilling tasks.
4. Unlike previous waves in customer-service technology, AI has raised the alarm of worker replacement.
उत्तर देखें और व्याख्या
उत्तर: (C) The value of human intervention in the workplace affected by AI might be enhanced through redirection towards more fulfilling tasks.
व्याख्या
The passage's key point is that AI could be salutary, freeing agents for creative and rewarding tasks.
Q53प्रश्न खोलें
Read the following passage and answer the item that follows. Your answer should be based solely on the passage. Passage: Previous waves of customer-service technology, including email and those pesky voice menus, stoked concerns of job losses, only for them to fail to materialise. AI could yet prove different. And if it does, its effects may be salutary. Human agents could be freed up to spend more time on creative and rewarding tasks, like using feedback to make products and services better—and thereby spend less time listening to irate customers! Which of the following conclusions, made on the basis of the given passage, is/are correct? 1. The advent of new customer-service technology had invariably sparked fears about job losses. 2. Often it is found that instead of job losses, alternative channels for employee engagement are discovered while certain tasks are replaced by technology. 3. The advent of technology inevitably leads to stressful outcomes. Select the answer using the code given below.
1. 1 and 3
2. 2 only
3. 3 only
4. 1 and 2
उत्तर देखें और व्याख्या
उत्तर: (D) 1 and 2
व्याख्या
Previous waves stoked job-loss fears that did not materialise (1), and technology can free humans for other rewarding work (2). The passage says the effects may be salutary, not stressful (3). (Provisional answer; verify with the official key.)
Q54प्रश्न खोलें
Read the following passage and answer the item that follows. Your answer should be based solely on the passage. Passage: Cattle from the nearby villages came to the common ground to graze, and there was still a cool freshness in the air. Hori took several deep breaths and thought of sitting down for a while, since he'd be dying of heat in the scorching 'loo' wind the rest of the day. A number of farmers were eager to lease this bit of land and had offered a good price, but Rai Sahib—God bless him—had plainly told them it was reserved for grazing and would not be relinquished for any price. If he'd been one of those selfish Zamindars, he'd have said the cattle could go to hell, that there was no reason for him to miss the chance to make a little money. But the Rai Sahib still held to the old values, feeling that any landlord who didn't look after his tenants was less than human. Which of the following conclusions is/are correct? 1. All landlords essentially have some goodness trapped within them. 2. The common grazing grounds of a village are intended for use by the cattle of that village. 3. Landlords who believe in tradition tend to be more concerned about their tenants. 4. Winds later in the day tend to be cooler post the hot winds of the morning. Select the answer using the code given below.
1. 1 and 3
2. 2 and 4
3. 3 only
4. 2 only
उत्तर देखें और व्याख्या
उत्तर: (D) 2 only
व्याख्या
The ground is used by cattle of nearby villages and reserved for grazing (2). The passage mentions selfish zamindars (not 1), doesn't generalise about traditional landlords (3), and the morning is cool while the loo blows later (not 4).
Q55प्रश्न खोलें
Read the following passage and answer the item that follows. Your answer should be based solely on the passage. Passage: Cattle from the nearby villages came to the common ground to graze, and there was still a cool freshness in the air. Hori took several deep breaths and thought of sitting down for a while, since he'd be dying of heat in the scorching 'loo' wind the rest of the day. A number of farmers were eager to lease this bit of land and had offered a good price, but Rai Sahib—God bless him—had plainly told them it was reserved for grazing and would not be relinquished for any price. If he'd been one of those selfish Zamindars, he'd have said the cattle could go to hell, that there was no reason for him to miss the chance to make a little money. But the Rai Sahib still held to the old values, feeling that any landlord who didn't look after his tenants was less than human. Which of the following statements are NOT correct? 1. The landholdings of Rai Sahib were currently not being used for farming. 2. Temperamentally, Rai Sahib was as greedy as other landlords. 3. It cannot be ascertained that Rai Sahib could have made some money by leasing out the grazing land. 4. It may be asserted that Rai Sahib valued his tenants and wanted to protect their livelihood. Select the answer using the code given below.
1. 1 and 2 only
2. 1 and 3 only
3. 3 and 4
4. 1, 2 and 3
उत्तर देखें और व्याख्या
उत्तर: (D) 1, 2 and 3
व्याख्या
Only the grazing plot is discussed, not all his landholdings (1 is unsupported). He was not greedy (2 is wrong). Farmers offered a good price, so he clearly could have earned money (3 is wrong). Statement 4 is supported.
Q56प्रश्न खोलें
A person facing the East travels 4 km straight and then turns right and travels 3 km, then further turns left and travels 2 km and finally turns left and travels 3 km. The minimum distance between the final point and the initial point, and the direction in which the person is facing at the final point are, respectively
1. 12 km, East
2. 6 km, East
3. 8 km, North
4. 6 km, North
उत्तर देखें और व्याख्या
उत्तर: (D) 6 km, North
व्याख्या
East 4, south 3, east 2, north 3: net 6 km east of the start, facing North.
Q57प्रश्न खोलें
In a sequence of numbers, each number other than the first two is the sum of the two immediately preceding numbers from it. If the first two numbers in the sequence are 4 and 7, then the sixth number is
1. 29
2. 37
3. 43
4. 47
उत्तर देखें और व्याख्या
उत्तर: (D) 47
व्याख्या
4, 7, 11, 18, 29, 47.
Q58प्रश्न खोलें
The ratio of male to female workers in two companies A and B is 13 : 10 and 7 : 5, respectively. If both the companies have the same number of female workers, then what is the ratio of the total number of workers in A to those in B?
1. 24 : 23
2. 23 : 24
3. 18 : 17
4. 27 : 18
उत्तर देखें और व्याख्या
उत्तर: (B) 23 : 24
व्याख्या
Make females 10 in both: A = 13 + 10 = 23; B = 14 + 10 = 24. Ratio 23 : 24.
Q59प्रश्न खोलें
If the product of the HCF and LCM of two distinct numbers is the cube of one of the numbers, then which of the following statements is/are correct? I. The difference of the numbers is an even number. II. One of the numbers is a perfect square. Select the answer using the code given below.
1. I only
2. II only
3. Both I and II
4. Neither I nor II
उत्तर देखें और व्याख्या
उत्तर: (C) Both I and II
व्याख्या
HCF × LCM = ab = a³, so b = a². Then b is a perfect square, and b - a = a(a - 1), a product of consecutive integers, which is even.
Q60प्रश्न खोलें
If x and y are two digits and the number 4x5y790 is divisible by 11, then what is the remainder, if x + y is divided by 11?
1. 1
2. 3
3. 5
4. 7
उत्तर देखें और व्याख्या
उत्तर: (D) 7
व्याख्या
Alternating digit sum from the right: 0 - 9 + 7 - y + 5 - x + 4 = 7 - (x + y), which must be divisible by 11, so x + y = 7 or 18. Either way the remainder on division by 11 is 7.
Q61प्रश्न खोलें
Read the following passage and answer the item that follows. Your answer should be based solely on the passage. Passage: Was it the sun-dappled ambience, the strawberries and cream, the frustration of Flavio Cobolli's unforced errors against Serbian Novak Djokovic on Centre Court or simply the crushing weight of being a 64-year-old man in the third act of a very public life? Whatever the reason, Hugh Grant, the actor, deserves empathy. There he was, in the Royal Box at Wimbledon, flanked by Britain's well-dressed and well-rested spectators, watching the men's singles quarterfinals, when the actor did something quietly radical: head at a tilt, eyes closed, utterly unbothered, he took a nap. So praise be to Grant for serving up an unexpected ace. In that small, delicious moment, he didn't merely catch forty winks, he made an elegant case for surrender. Not to laziness, but to limits. To the body's quiet wisdom over society's relentless performance metrics. Wimbledon had its tennis. The perpetually sleep-deprived discovered a leading man, not of action, but of rest. Which of the following statements is/are correct? 1. Radical action can also be attributed to mild surrender where one acts against societal expectations. 2. Submitting to one's limitations, given the effect of age and other factors, ought not to be conflated with laziness. 3. 'Leading man' usually refers to one who plays the lead role in a movie; in this instance the implication is that Hugh Grant is performing the role of not an action hero, but that of a resting one! Select the answer using the code given below.
1. 1 and 2 only
2. 2 and 3 only
3. 1, 2 and 3
4. 3 only
उत्तर देखें और व्याख्या
उत्तर: (C) 1, 2 and 3
व्याख्या
His nap was 'quietly radical', a surrender against society's performance metrics (1); surrender 'not to laziness, but to limits' (2); and a 'leading man, not of action, but of rest' (3).
Q62प्रश्न खोलें
Read the following passage and answer the item that follows. Your answer should be based solely on the passage. Passage: Was it the sun-dappled ambience, the strawberries and cream, the frustration of Flavio Cobolli's unforced errors against Serbian Novak Djokovic on Centre Court or simply the crushing weight of being a 64-year-old man in the third act of a very public life? Whatever the reason, Hugh Grant, the actor, deserves empathy. There he was, in the Royal Box at Wimbledon, flanked by Britain's well-dressed and well-rested spectators, watching the men's singles quarterfinals, when the actor did something quietly radical: head at a tilt, eyes closed, utterly unbothered, he took a nap. So praise be to Grant for serving up an unexpected ace. In that small, delicious moment, he didn't merely catch forty winks, he made an elegant case for surrender. Not to laziness, but to limits. To the body's quiet wisdom over society's relentless performance metrics. Wimbledon had its tennis. The perpetually sleep-deprived discovered a leading man, not of action, but of rest. Which of the following statements is/are correct? 1. Hugh Grant was watching, from the Royal Box, the men's semifinal match on Centre Court between Flavio Cobolli and Novak Djokovic. 2. The phrase 'unexpected ace' in the context uses a term from the game of tennis to highlight Hugh Grant's somewhat uncharacteristic act of catching 'forty winks'; an act that is viewed with opprobrium. 3. Grant subjects the demands of society to the wisdom of his body. Select the answer using the code given below.
1. 1 and 2
2. 3 only
3. 2 and 3
4. 2 only
उत्तर देखें और व्याख्या
उत्तर: (B) 3 only
व्याख्या
It was a quarterfinal (1 wrong), and the writer praises the nap rather than condemning it (2 wrong). He chose the body's quiet wisdom over society's metrics (3).
Q63प्रश्न खोलें
Read the following passage and answer the item that follows. Your answer should be based solely on the passage. Passage: The process by which countries close their labour-productivity gap with the technology leader is based on convergence theory. The convergence model divides economic eras into three phases: the breakaway, the catch-up, and the fine-tuning phase. It also divides economic entities into two categories: the technology leaders and the technology followers. The process begins with the development of a new technology, such as scavenging three million years ago (MYA), hunting—one MYA, farming—12 thousand years ago, and industrial technology—a little more than 200 years ago. During the breakaway phase, the per capita income of the technology leaders (e.g., Western Europe and North America in the industrial era) rises, but is unchanged for the technology followers. In the catch-up phase, the followers adopt the new technology and close their per capita income gap with the technology leaders. In the fine-tuning phase, where participants try to extract the remaining benefits from an increasingly exhausted technology, leaders and followers have similar per capita incomes. Which of the following conclusions are correct? 1. In the breakaway phase, economic progress is slow for the technology followers. 2. In the catch-up phase, leaders stagnate and followers, therefore, close the gap between them and the leaders. 3. In the fine-tuning phase, technology is exhausted, as it were, and both leaders and followers attempt to extract leftover benefits, leading to more or less similar per capita income levels. 4. Industrial technology followed scavenging, which preceded hunting, which itself was followed by farming. Select the answer using the code given below.
1. 3 and 4 only
2. 1, 2, 3 and 4
3. 1 and 2 only
4. 2, 3 and 4 only
उत्तर देखें और व्याख्या
उत्तर: (A) 3 and 4 only
व्याख्या
Fine-tuning is described exactly in 3, and the sequence scavenging → hunting → farming → industrial supports 4. Followers' income is 'unchanged', not merely slow (1), and leaders are not said to stagnate (2). (Provisional answer; verify with the official key.)
Q64प्रश्न खोलें
Read the following passage and answer the item that follows. Your answer should be based solely on the passage. Passage: The process by which countries close their labour-productivity gap with the technology leader is based on convergence theory. The convergence model divides economic eras into three phases: the breakaway, the catch-up, and the fine-tuning phase. It also divides economic entities into two categories: the technology leaders and the technology followers. The process begins with the development of a new technology, such as scavenging three million years ago (MYA), hunting—one MYA, farming—12 thousand years ago, and industrial technology—a little more than 200 years ago. During the breakaway phase, the per capita income of the technology leaders (e.g., Western Europe and North America in the industrial era) rises, but is unchanged for the technology followers. In the catch-up phase, the followers adopt the new technology and close their per capita income gap with the technology leaders. In the fine-tuning phase, where participants try to extract the remaining benefits from an increasingly exhausted technology, leaders and followers have similar per capita incomes. Which of the following statements is/are correct? 1. The convergence model divides nations into three phases of economic progress. 2. At the heart of the convergence theory is the closing of the gap between labour and productivity. 3. Technology leaders typically have arrived earlier at different economic eras. 4. The time period covered by the convergence theory presented herein encompasses, as mentioned, 4012200 years. Select the answer using the code given below.
1. 2 and 4
2. 2 and 3
3. 3 only
4. 1, 3 and 4
उत्तर देखें और व्याख्या
उत्तर: (C) 3 only
व्याख्या
The model divides economic eras (not nations) into phases (1 wrong); the gap is in labour productivity between followers and leaders (2 wrong). Leaders adopt new technology first (3). The eras span about three million years; simply adding the dates to 4,012,200 is meaningless (4 wrong).
Q65प्रश्न खोलें
An alloy P contains 20% copper and 80% zinc by weight. Another alloy Q contains 60% copper and 40% zinc by weight. A third alloy R is to be prepared from P and Q so that it contains equal amount of copper and zinc. In what ratio, amounts of P and Q be mixed in order to get R?
1. 1 : 3
2. 3 : 1
3. 2 : 3
4. 3 : 2
उत्तर देखें और व्याख्या
उत्तर: (A) 1 : 3
व्याख्या
Target 50% copper. By alligation, P : Q = (60 - 50) : (50 - 20) = 10 : 30 = 1 : 3.
Q66प्रश्न खोलें
A is a 2-digit number with different digits. B is also a 2-digit number and is obtained by reversing the digits of A. If A - B is a multiple of 27, where A > B, how many such different A's are possible?
1. 6
2. 9
3. 12
4. 18
उत्तर देखें और व्याख्या
उत्तर: (B) 9
व्याख्या
A - B = 9(a - b), so a - b must be a multiple of 3. With b ≥ 1 (B is 2-digit): a - b = 3 gives 6 numbers (41 to 96), a - b = 6 gives 3 (71, 82, 93). Total 9.
Q67प्रश्न खोलें
If ZERO is encoded as ADSN, then how do you encode STOP?
1. SPOT
2. TSPO
3. TSOP
4. POST
उत्तर देखें और व्याख्या
उत्तर: (B) TSPO
व्याख्या
Letters shift +1, -1, +1, -1: Z→A, E→D, R→S, O→N. So S→T, T→S, O→P, P→O = TSPO.
Q68प्रश्न खोलें
There are three types of rectangular tiles: 3' × 3', 3' × 7' and 3' × 11'. An area of rectangular shape of dimensions 3' × 100' is to be covered using these tiles without breaking them. If x and y are the maximum and minimum numbers of tiles of various sizes, respectively, that can be used to cover the area exactly, then x - y is
1. 20
2. 12
3. 10
4. 7
उत्तर देखें और व्याख्या
उत्तर: (A) 20
व्याख्या
Every tile spans the 3' width, so the lengths must sum to 100: 3a + 7b + 11c = 100. Maximum: 31 tiles of 3' + 1 of 7' = 32. Minimum: 8 of 11' + 4 of 3' = 12 (11 tiles is impossible by parity). x - y = 20.
Q69प्रश्न खोलें
A train has to complete a journey of 800 km. If it meets a minor accident, its speed becomes half of the existing speed. If there is a mechanical defect, the speed becomes one-fourth of the existing speed. On its way, the train meets with a minor accident after 200 km; and 400 km thereafter, it develops a mechanical defect. Had the train developed the mechanical defect after 200 km and met the minor accident 400 km thereafter, it would have taken 4 more hours to reach its destination. What was the original speed of the train in km per hour?
1. 200
2. 190
3. 150
4. 100
उत्तर देखें और व्याख्या
उत्तर: (A) 200
व्याख्या
Actual: 200/v + 400/(v/2) + 200/(v/8) = 2600/v. Hypothetical: 200/v + 400/(v/4) + 200/(v/8) = 3400/v. The difference 800/v = 4, so v = 200 km/h.
Q70प्रश्न खोलें
In a recruitment process, the selection of candidates is based on their performance in three components. The weightages of the components 1, 2 and 3 are 0.2, 0.3 and 0.5, respectively. Use the data given below and find the cutoff score if exactly three candidates are to be selected: Candidate 1: 5, 4, 6 Candidate 2: 4, 6, 5 Candidate 3: 3, 2, 8 Candidate 4: 9, 4, 3 Candidate 5: 8, 8, 2 (Scores in components 1, 2 and 3 respectively)
1. 5.1
2. 5.2
3. 5.3
4. 5.4
उत्तर देखें और व्याख्या
उत्तर: (A) 5.1
व्याख्या
Weighted scores: C1 = 5.2, C2 = 5.1, C3 = 5.2, C4 = 4.5, C5 = 5.0. The top three are 5.2, 5.2, 5.1, so the cutoff is 5.1.
Q71प्रश्न खोलें
Consider the following three statements, namely S1, S2 and S3: S1. Protecting the environment is an existential exigency for humans, given the impact of environmental degradation on climate change. S2. Scientific consensus has not been achieved with regard to the extent of the contribution of human intervention to climate change. S3. Environmental activism includes climate alarmism and other extremist points of view that often become the focus of climate change deniers. Which of the following relationships based on the statements given above is/are correct? 1. S3 is a counterpoint to S1 2. S3 is unconnected to S1 and S2 3. S2 could be the reason for S3 Select the answer using the code given below.
1. 2 and 3 only
2. 1, 2 and 3
3. 1 and 2 only
4. 3 only
उत्तर देखें और व्याख्या
उत्तर: (D) 3 only
व्याख्या
Uncertainty about the extent of human contribution (S2) is what lets deniers seize on alarmist views (S3), so S2 can explain S3. S3 does not argue against protecting the environment (not a counterpoint to S1), and it is clearly connected to S2. (Provisional answer; verify with the official key.)
Q72प्रश्न खोलें
Match List-I with List-II. List-I (Relationship category): A. Between cricket captain and team members B. Between judge and lawyers in court C. Between Vice Chancellor and Deputy Registrar D. Between peers and coworkers List-II (Communication type): 1. Informal and firm 2. Informal and open-ended 3. Formal and open-ended 4. Formal and firm Select the correct answer using the code given below the lists.
1. A-1, B-3, C-4, D-2
2. A-1, B-4, C-3, D-2
3. A-2, B-4, C-3, D-1
4. A-2, B-3, C-4, D-1
उत्तर देखें और व्याख्या
उत्तर: (B) A-1, B-4, C-3, D-2
व्याख्या
Captain-team: informal and firm; judge-lawyers: formal and firm; VC-Deputy Registrar: formal and open-ended; peers: informal and open-ended.
Q73प्रश्न खोलें
Match List-I with List-II. List-I (Tool of communication): A. Memorandum B. Flyer C. Bcc D. Minutes List-II (Purpose): 1. To record decisions 2. To inform confidentially 3. To intimate a directive 4. To disseminate non-targeted information Select the correct answer using the code given below the lists.
1. A-1, B-4, C-2, D-3
2. A-1, B-2, C-4, D-3
3. A-3, B-4, C-2, D-1
4. A-3, B-2, C-4, D-1
उत्तर देखें और व्याख्या
उत्तर: (C) A-3, B-4, C-2, D-1
व्याख्या
Memorandum conveys a directive, a flyer spreads non-targeted information, Bcc informs confidentially and minutes record decisions.
Q74प्रश्न खोलें
Which among the following actions would constitute the most appropriate directive(s) in resolving interpersonal conflict in an office with culturally diverse personnel? 1. Direct personnel to practise activities that are the cultural markers of diverse groups 2. Allow conflicts to resolve naturally over time to set an appropriate precedent of leadership 3. Encourage personnel to seek each other's perspectives Select the answer using the code given below.
1. 1 and 3
2. 2 only
3. 3 only
4. 2 and 3
उत्तर देखें और व्याख्या
उत्तर: (C) 3 only
व्याख्या
Encouraging mutual perspective-taking resolves conflict constructively; forcing cultural practices or leaving conflicts unattended does not.
Q75प्रश्न खोलें
Match List-I with List-II. List-I (Barrier to communication): A. Semantic B. Cognitive C. Organisational D. Affective List-II (Example): 1. Lack of feedback 2. Misunderstanding the meaning of a word 3. Fear of social stigma 4. Information overload Select the correct answer using the code given below the lists.
1. A-3, B-1, C-4, D-2
2. A-3, B-4, C-1, D-2
3. A-2, B-1, C-4, D-3
4. A-2, B-4, C-1, D-3
उत्तर देखें और व्याख्या
उत्तर: (D) A-2, B-4, C-1, D-3
व्याख्या
Semantic - word meaning; cognitive - information overload; organisational - lack of feedback; affective - fear of social stigma.
Q76प्रश्न खोलें
You are required to design a 'questionnaire' to be filled on-location by visitors, based on the following objective while writing a report: 'To determine the feasibility of setting up a family-oriented vacation resort in the vicinity of a lake destination in the mountains.' Which of the following heads would you include in the questionnaire to make it most appropriate for your purpose? 1. Size of family 2. Budget 3. Number of earners in the family 4. Food allergies and dietary restrictions Select the answer using the code given below.
1. 1 and 3
2. 1, 2 and 4
3. 1 and 2 only
4. 2 and 3
उत्तर देखें और व्याख्या
उत्तर: (C) 1 and 2 only
व्याख्या
Feasibility of a family resort depends on family size (room and facility needs) and what visitors are willing to spend. Earners and dietary details are not relevant to feasibility.
Q77प्रश्न खोलें
With reference to 'circular letters', which of the following statements is/are correct? 1. Circular letters are usually addressed to a group of people. 2. Non-standard and customized content is typical of circular letters. 3. Circular letters are used to intimate appraisals and increments of employees within organisations. 4. Circular letters are less cost-effective than personalised and specific recipient-directed letters. Select the answer using the code given below.
1. 1 and 2
2. 2 and 4
3. 1, 3 and 4
4. 1 only
उत्तर देखें और व्याख्या
उत्तर: (D) 1 only
व्याख्या
Circulars carry the same standard message to many people, which makes them cost-effective. Individual appraisals and increments are communicated personally.
Q78प्रश्न खोलें
Three partners A, B and C entered into a business. A invested one-third of the capital for one-third duration. B invested one-fourth of the capital for one-fourth duration. C invested the remaining capital for the whole duration. Out of a profit of Rs 17,000, how much profit will C get?
1. Rs 12,000
2. Rs 10,000
3. Rs 12,500
4. Rs 10,750
उत्तर देखें और व्याख्या
उत्तर: (A) Rs 12,000
व्याख्या
Capital × time: A = 1/9, B = 1/16, C = 5/12. Ratio 16 : 9 : 60 (total 85). C gets 60/85 × 17,000 = 12,000.
Q79प्रश्न खोलें
There are two chemicals which do not react with each other. A container contains 10 litres of the chemical A. One litre of this chemical is removed from it and one litre of the chemical B is poured. Then one litre of the mixture is removed from the container and one litre of B is poured. If this process of replacing one litre of the mixture by one litre of B is performed once more, then what is the volume of B that is present in the container approximately (in percentage)?
1. 25
2. 27
3. 29
4. 31
उत्तर देखें और व्याख्या
उत्तर: (B) 27
व्याख्या
After three replacements, A left = 10 × (9/10)³ = 7.29 L, so B = 2.71 L ≈ 27%.
Q80प्रश्न खोलें
A shopkeeper employs a delivery boy and gives him a motorcycle for home delivery. For every delivery, the boy is given Rs 5. At the end of the day, he also gets Rs 2 for every kilometre of the distance covered in the day. The boy wants to earn more than Rs 500 a day, but does not want to travel more than 100 km. Which of the following numbers of deliveries would definitely meet his target?
1. 80
2. 85
3. 90
4. The question cannot be answered due to insufficient data
उत्तर देखें और व्याख्या
उत्तर: (D) The question cannot be answered due to insufficient data
व्याख्या
Earnings = 5n + 2k, where the distance k is unknown (at most 100 km). Even 90 deliveries give Rs 450 plus an unknown distance amount, so none of the given numbers guarantees more than Rs 500.

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सभी 80 प्रश्न समय सीमा में हल करें और अपना स्कोर देखें।

समयबद्ध टेस्ट शुरू करें

Civil Services Examination Prelims 2026: उत्तर सहित प्रश्न

The weight of X, in kg, is denoted by X. The weights of A, B, C, D, P, Q, R and S are measured. Given: A + B + C + D = 17 A + C = 6 P + Q + S + D = 15 P + Q + R + B = 17 P = R and Q = S Which one of the following statements is correct?

How many words can one form by shuffling the letters of the word QUEUE, if Q is always followed by U? The words thus formed need not necessarily have any meaning.

X, Y and Z jump forward 4', 6' and 5', respectively. At 8 AM, they all land on mark 199'. How many times will they all land on the same mark (need not be at the same moment) between mark 195' and 1000', if all of them cross mark 1000' by 9 AM?

A toy T jumps forward or backward. In each forward jump it moves 5' forward whereas in each backward jump it moves 2' backward. If in 31 jumps T moves exactly 15' forward, then what is the difference of the number of forward and backward jumps?

A pattern formed by two characters a and b is repeated more than once in the following string: × b × a × a × × a × a × bab What is ×× in the 7th and 8th positions from the left in the above string?

If 10^m × 1000 × n = 75^25 × 25^32 × 32^75, where n is not divisible by 10, then the value of m is

The speed of a train T is 100 km per hour and the speed of a person P is 4 km per hour. T crosses P in 15 seconds if P travels along the direction of motion of T. If P travels along the opposite direction of T, then in how much time does T cross P, in seconds, approximately?

For 1/3 < x < y < 2, which of the following statements are always correct? I. x + 1/x < y + 1/y II. √(1 + y²)/y < √(1 + x²)/x Select the answer using the code given below.

What is the minimum number of times one needs to measure to get 298 litres of water from a tank, if the measuring cylinders have capacities 1 litre, 6 litres, 25 litres and 100 litres?

There are four types of weights, namely 1 kg, 2 kg, 5 kg and 10 kg. What is the maximum number of ways one can measure 20 kg, if at least eight but not more than eleven weights of 1 kg are to be used while measuring?

Three variables x, y and z take values 2, 3, 4 or 5 such that their values are always distinct. If M and N denote the largest possible value and the smallest possible value, respectively, of the expression {(x × y) + z}, then M - N is

Suppose x, y and z are variables taking positive real numbers as their possible values. It is given that y is directly proportional to x² and x is inversely proportional to z. For z = 7/25, the values of x and y are 5 and 50, respectively. If y = 98, what is z equal to?

The digit in the unit place of the number 6^129 × 7^307 is

A person saves 10% of his salary every month. If his salary increases by 12% and the expenditure increases by 10%, then what will be the change in his saving per month?

P has a son and a daughter. S is the mother of T. S is R's spouse. Q and R are children of P. Then how is Q related to S?

How many three-digit numbers can be expressed as an integral power of 2?

Consider the following statements: Every red is blue. Every blue is green. Every green is yellow. Which of the following statements denoted by P, Q and R are correct? P. Every blue is yellow. Q. Every red is green. R. Every red is yellow. Select the answer using the code given below.

How many times does 5 appear in all two-digit positive integers?

In a sequence of numbers, each number other than the first two is the sum of the two immediately preceding numbers from it. If the first two numbers in the sequence are 4 and 7, then the sixth number is

The ratio of male to female workers in two companies A and B is 13 : 10 and 7 : 5, respectively. If both the companies have the same number of female workers, then what is the ratio of the total number of workers in A to those in B?

If the product of the HCF and LCM of two distinct numbers is the cube of one of the numbers, then which of the following statements is/are correct? I. The difference of the numbers is an even number. II. One of the numbers is a perfect square. Select the answer using the code given below.

If x and y are two digits and the number 4x5y790 is divisible by 11, then what is the remainder, if x + y is divided by 11?

An alloy P contains 20% copper and 80% zinc by weight. Another alloy Q contains 60% copper and 40% zinc by weight. A third alloy R is to be prepared from P and Q so that it contains equal amount of copper and zinc. In what ratio, amounts of P and Q be mixed in order to get R?

A is a 2-digit number with different digits. B is also a 2-digit number and is obtained by reversing the digits of A. If A - B is a multiple of 27, where A > B, how many such different A's are possible?

If ZERO is encoded as ADSN, then how do you encode STOP?

Three partners A, B and C entered into a business. A invested one-third of the capital for one-third duration. B invested one-fourth of the capital for one-fourth duration. C invested the remaining capital for the whole duration. Out of a profit of Rs 17,000, how much profit will C get?

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