1. Q1Open question

    Which state in India is the highest producer of raw silk? A. Kerala B. Andhra Pradesh C. Karnataka D. Maharashtra

    1. B

    2. C

    3. D

    4. A

    Show answer & explanation

    Answer: (B) C

    Explanation

    Karnataka is India's largest producer of raw silk, mainly mulberry silk, contributing roughly a third or more of the country's output. Ramanagara near Bengaluru hosts Asia's largest silk cocoon market.

  2. Q2Open question

    Mohan invested Rs. 100,000 in a garment business. After few months, Sohan joined him with Rs. 40000. At the end of the year, the total profit was divided between them in ratio 3 : 1. After how many months did Sohan join the business?

    1. 3

    2. 2

    3. 4

    4. 5

    Show answer & explanation

    Answer: (B) 2

    Explanation

    Profit is shared in the ratio of capital × time. Mohan: 1,00,000 × 12. Sohan joined after x months: 40,000 × (12 − x). So 12,00,000 : 40,000(12 − x) = 3 : 1, which gives 40,000(12 − x) = 4,00,000, i.e. 12 − x = 10 and x = 2. Sohan joined after 2 months.

  3. Q3Open question

    If two complimentary angles are in the ratio of 4 : 5, find the greater angle.

    1. 40°

    2. 50°

    3. 60°

    4. 30°

    Show answer & explanation

    Answer: (B) 50°

    Explanation

    Complementary angles add up to 90°. In the ratio 4 : 5 they are 90 × 4/9 = 40° and 90 × 5/9 = 50°. The greater angle is 50°.

  4. Q4Open question

    If HEAR is written as KJHA, then MILK can written as

    1. PTNS

    2. PNTS

    3. PNST

    4. PTSN

    Show answer & explanation

    Answer: (C) PNST

    Explanation

    The letters of HEAR move forward by 3, 5, 7 and 9: H+3 = K, E+5 = J, A+7 = H, R+9 = A (wrapping round after Z). Applying the same to MILK: M+3 = P, I+5 = N, L+7 = S, K+9 = T, giving PNST.

  5. Q5Open question

    The mean of 12 observations is 15. One more observation is included and the new mean becomes 16. The 13^th observation is

    1. 20

    2. 24

    3. 26

    4. 28

    Show answer & explanation

    Answer: (D) 28

    Explanation

    Total of 12 observations = 12 × 15 = 180. Total of 13 observations = 13 × 16 = 208. The 13th observation = 208 − 180 = 28.

  6. Q6Open question

    Two bones can be connected to each other by another type of connective tissue called the ___________.

    1. Tendons

    2. Cartilage

    3. Matrix

    4. Ligament

    Show answer & explanation

    Answer: (D) Ligament

    Explanation

    Ligaments are bands of tough fibrous connective tissue that connect one bone to another at joints, holding them together. Tendons connect muscles to bones, and cartilage cushions the ends of bones.

  7. Q7Open question

    Find the least number which when divided by 12, 15, 18 and 27 leaves remainders 10, 13, 16 and 25 respectively.

    1. 540

    2. 538

    3. 542

    4. 552

    Show answer & explanation

    Answer: (B) 538

    Explanation

    In each case the remainder is 2 less than the divisor (12 − 10 = 15 − 13 = 18 − 16 = 27 − 25 = 2). So the number is 2 less than a common multiple. LCM(12, 15, 18, 27) = 540, so the least number = 540 − 2 = 538.

  8. Q8Open question

    Find the value of 6732.8 + 673.28 + 67.328 + 6.7328 + 0.67328.

    1. 74808.1408

    2. 7480.78408

    3. 74808.2408

    4. 7480.81408

    Show answer & explanation

    Answer: (D) 7480.81408

    Explanation

    Adding with the decimal points aligned: 6732.8 + 673.28 = 7406.08; + 67.328 = 7473.408; + 6.7328 = 7480.1408; + 0.67328 = 7480.81408.

  9. Q9Open question

    Which Indian state was declared as first 'complete Digital State'? A. Tamil Nadu B. Kerala C. Maharashtra D. Karnataka

    1. A

    2. D

    3. C

    4. B

    Show answer & explanation

    Answer: (D) B

    Explanation

    Kerala was declared India's first 'complete digital state' in February 2016, after achieving 100% mobile density, high digital literacy, and broadband and Aadhaar-linked services across all its gram panchayats.

  10. Q10Open question

    An assertion (A) and a reason (R) are given below. Assertion (A): Earth’s temperature will increase. Reason (R) :An increase in the level of Carbon dioxide will lead to an increase in temperature of Polar regions. Choose the correct option:

    1. Both A and R are true and R is the correct explanation of A

    2. Both A and R are true, but R is not the correct explanation of A

    3. A is true, but R is false

    4. A is false, but R is true

    Show answer & explanation

    Answer: (C) A is true, but R is false

    Explanation

    The official key treats the assertion as true and the reason as false. Rising greenhouse gases are expected to raise Earth's average temperature. The reason, as stated, narrows the effect of CO₂ to the polar regions alone, while extra CO₂ warms the whole planet, so the key marks it false.

  11. Q11Open question

    Saina Nehwal is associated with which sport? A. Tennis B. Cricket C. Badminton D. Gymnastics

    1. B

    2. C

    3. D

    4. A

    Show answer & explanation

    Answer: (B) C

    Explanation

    Saina Nehwal is an Indian badminton player. She won bronze at the 2012 London Olympics and became world No. 1 in women's singles in 2015.

  12. Q12Open question

    The table below depicts the no. of pages printed by 6 Printers in 5 different months. Study the table carefully and answer the following questions Number of Pages Printed by 6 Printers in 5 Different Months

    MonthPrinter PPrinter QPrinter RPrinter SPrinter TPrinter U
    1^st664618628552638419
    2^nd569441519438621537
    3^rd440614503527541742
    4^th256563347651412321
    5^th717429598582519693

    What is the average number of pages printed by all the given printers in 4^th month?

    1. 415

    2. 430

    3. 425

    4. 325

    Show answer & explanation

    Answer: (C) 425

    Explanation

    Pages printed in the 4th month: 256 + 563 + 347 + 651 + 412 + 321 = 2550. Average over 6 printers = 2550/6 = 425.

  13. Q13Open question

    The table below depicts the no. of pages printed by 6 Printers in 5 different months. Study the table carefully and answer the following questions Number of Pages Printed by 6 Printers in 5 Different Months

    MonthPrinter PPrinter QPrinter RPrinter SPrinter TPrinter U
    1^st664618628552638419
    2^nd569441519438621537
    3^rd440614503527541742
    4^th256563347651412321
    5^th717429598582519693

    Which printer printed maximum number of pages in all the given months together?

    1. Printer S

    2. Printer U

    3. Printer P

    4. Printer T

    Show answer & explanation

    Answer: (A) Printer S

    Explanation

    Five-month totals: P 2646, Q 2665, R 2595, S 552 + 438 + 527 + 651 + 582 = 2750, T 2731, U 2712. Printer S printed the most pages.

  14. Q14Open question

    The table below depicts the no. of pages printed by 6 Printers in 5 different months. Study the table carefully and answer the following questions Number of Pages Printed by 6 Printers in 5 Different Months

    MonthPrinter PPrinter QPrinter RPrinter SPrinter TPrinter U
    1^st664618628552638419
    2^nd569441519438621537
    3^rd440614503527541742
    4^th256563347651412321
    5^th717429598582519693

    What is the ratio between the number of pages printed by printer Q in second month and the number of pages printed by printer U in the fifth month?

    1. 11 : 13

    2. 7 : 11

    3. 9 : 11

    4. 9 : 13

    Show answer & explanation

    Answer: (B) 7 : 11

    Explanation

    Printer Q in the 2nd month printed 441 pages and printer U in the 5th month 693. Ratio = 441 : 693; dividing both by 63 gives 7 : 11.

  15. Q15Open question

    RHYTHM is related to MUSIC in the same way as DESIGN is related to

    1. ARCHITECT

    2. BUILDING

    3. BEAUTY

    4. SYMMETRY

    Show answer & explanation

    Answer: (B) BUILDING

    Explanation

    Rhythm is a basic element of music. In the same way, design is a basic element of a building. An architect is a person, and beauty and symmetry are qualities, not the thing being designed.

  16. Q16Open question

    In which country did the Hotaki dynasty flourish? A. Sri Lanka B. China C. Nepal D. Afghanistan

    1. A

    2. B

    3. C

    4. D

    Show answer & explanation

    Answer: (D) D

    Explanation

    The Hotaki dynasty was a Pashtun dynasty founded by Mirwais Hotak in Kandahar in 1709. It ruled parts of Afghanistan (and briefly Persia) until 1738.

  17. Q17Open question

    Which of the following is a nitrogen-fixing bacteria? A. Salmonella B. Rhizobium C. E.coli D. Pseudomonas

    1. D

    2. A

    3. B

    4. C

    Show answer & explanation

    Answer: (C) B

    Explanation

    Rhizobium bacteria live in root nodules of leguminous plants (peas, beans) and convert atmospheric nitrogen into ammonia that the plant can use. Salmonella and E. coli are gut bacteria, and Pseudomonas is not a symbiotic nitrogen fixer.

  18. Q18Open question

    The angle of elevation of a ladder leaning against a house is 60° and the foot of the ladder is 6.5 metres from the house. The length of the ladder is

    1. 15 metres

    2. 13 metres

    3. 11.25 m

    4. 10.5 m

    Show answer & explanation

    Answer: (B) 13 metres

    Explanation

    The ladder, the wall and the ground form a right triangle. The angle at the ground is 60° and the foot is 6.5 m from the wall, so cos 60° = 6.5/length. Length = 6.5/0.5 = 13 metres.

  19. Q19Open question

    Based on the analogy given, find the missing pair from the given options. \(\frac{3}{5}:34\;\_\_\_:\_\_\_\) A. \(\frac{3}{7}\;:54\) B. \(\frac{4}{7}\;:65\) C. \(\frac{3}{{11}}:140\) D. \(\frac{4}{9}\;:87\)

    1. C

    2. A

    3. D

    4. B

    Show answer & explanation

    Answer: (D) B

    Explanation

    In 3/5 : 34, the number is the sum of the squares of numerator and denominator: 3² + 5² = 9 + 25 = 34. Testing the options, 4/7 gives 4² + 7² = 16 + 49 = 65, which matches.

  20. Q20Open question

    In accordance with the Indian Constitution, Protection of Life and Personal Liberty is granted under which Article? A. Article 20 B. Article 21 C. Article 22 D. Article 23

    1. D

    2. C

    3. B

    4. A

    Show answer & explanation

    Answer: (C) B

    Explanation

    Article 21 says no person shall be deprived of life or personal liberty except according to procedure established by law. Courts have read it broadly to include the right to privacy, livelihood and a clean environment.

  21. Q21Open question

    Mayank, Deepak and Pawan, each of them working alone can complete a work in 5, 10 and 15 days respectively. If all three of them work together to complete a work and earn a total of Rs. 11,000, What will be Deepak’s share of the earnings?

    1. Rs. 2000

    2. Rs. 6000

    3. Rs. 4000

    4. Rs. 3000

    Show answer & explanation

    Answer: (D) Rs. 3000

    Explanation

    Earnings are shared in proportion to work done per day. Daily rates: Mayank 1/5, Deepak 1/10, Pawan 1/15, i.e. 6 : 3 : 2 (multiplying by 30). Deepak's share = 3/11 × 11,000 = Rs 3,000.

  22. Q22Open question

    Below are given statements followed by two conclusions I and II. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Statements: All birds are trees. All trees are papers. Some papers are books. Conclusions: I. All birds are papers. II. Some birds are books. Decide which of the below options logically follows the given conclusions. A. Both conclusion I or II follows B. Neither conclusion I nor II follows C. Only conclusion I follows D. Only conclusion II follows

    1. B

    2. C

    3. A

    4. D

    Show answer & explanation

    Answer: (B) C

    Explanation

    All birds are trees and all trees are papers, so all birds are papers; I follows. Only some papers are books, and those may not include any birds, so II does not follow.

  23. Q23Open question

    If x^2 - 4x + 4b = 0 has two real solutions, find the value of 'b'.

    1. b = 0

    2. b ≤ 1

    3. b = +1, -1

    4. b ≥ 1

    Show answer & explanation

    Answer: (B) b ≤ 1

    Explanation

    A quadratic has real roots when its discriminant is ≥ 0. Here D = (−4)² − 4 × 1 × 4b = 16 − 16b ≥ 0, so b ≤ 1. (For two distinct real roots b < 1; b = 1 gives a repeated root.)

  24. Q24Open question

    Where in the world can we find the Nobel museum? A. Sri Lanka B. Stockholm C. Denmark D. London

    1. D

    2. A

    3. B

    4. C

    Show answer & explanation

    Answer: (C) B

    Explanation

    The Nobel Prize Museum is in Stockholm, Sweden, in the Old Town (Gamla stan). It opened in 2001 to mark 100 years of the Nobel Prize.

  25. Q25Open question

    The mean of a distribution is 20 and the standard deviation is 4. What is the value of the coefficient variation?

    1. 10%

    2. 20%

    3. 40%

    4. 60%

    Show answer & explanation

    Answer: (B) 20%

    Explanation

    Coefficient of variation = (standard deviation / mean) × 100 = 4/20 × 100 = 20%.

  26. Q26Open question

    Study the following information carefully and answer the questions given below it. There are six persons in a family. Chithra is the sister of Rakesh, Badhri is the brother of Enjya’s husband. Dilip is the father of Arun and grandfather of Rakesh. There are two fathers, three brothers and a mother in the group. How many male members are there in the family? A. Three B. One C. Four D. Two

    1. C

    2. B

    3. D

    4. A

    Show answer & explanation

    Answer: (A) C

    Explanation

    Dilip is Arun's father and Rakesh's grandfather, so Arun is Rakesh's father. Badhri is the brother of Enjya's husband; since Arun is a son of Dilip, Enjya is Arun's wife and Badhri his brother. The six are Dilip, Arun, Badhri, Enjya, Rakesh and Chithra, of whom Dilip, Arun, Badhri and Rakesh are male: four.

  27. Q27Open question

    Study the following information carefully and answer the questions given below it. There are six persons in a family. Chithra is the sister of Rakesh, Badhri is the brother of Enjya’s husband. Dilip is the father of Arun and grandfather of Rakesh. There are two fathers, three brothers and a mother in the group. Which of the following is a group of brothers? A. Arun, Badhri, Dililp B. Arun, Badhri, Rakesh C. Badhri, Rakesh, Chithra D. Badri, Dilip, Rakesh

    1. C

    2. B

    3. A

    4. D

    Show answer & explanation

    Answer: (B) B

    Explanation

    Arun and Badhri are brothers (sons of Dilip), and Rakesh is Chithra's brother. That gives the three brothers in the family: Arun, Badhri and Rakesh.

  28. Q28Open question

    Study the following information carefully and answer the questions given below it. There are six persons in a family. Chithra is the sister of Rakesh, Badhri is the brother of Enjya’s husband. Dilip is the father of Arun and grandfather of Rakesh. There are two fathers, three brothers and a mother in the group. How is Rakesh related to Eniya? A. Son B. Brother C. Uncle D. Cousin

    1. C

    2. A

    3. D

    4. B

    Show answer & explanation

    Answer: (B) A

    Explanation

    Enjya (Eniya) is Arun's wife and Rakesh is Arun's son, so Rakesh is Enjya's son. She is the one mother in the family.

  29. Q29Open question

    Choose the one which is different or odd from the following options: A. Lion B. Tiger C. Horse D. Giraffe

    1. A

    2. D

    3. B

    4. C

    Show answer & explanation

    Answer: (D) C

    Explanation

    Lion, tiger and giraffe are wild animals, while the horse is a domesticated animal used by people for riding and work. So the horse is the odd one out.

  30. Q30Open question

    Which of the following planets does not have natural satellite?

    1. Mars

    2. Earth

    3. Jupiter

    4. Venus

    Show answer & explanation

    Answer: (D) Venus

    Explanation

    Venus (and Mercury) have no natural satellites. Earth has one moon, Mars has two (Phobos and Deimos), and Jupiter has dozens.

  31. Q31Open question

    How many bones does a human body at birth have? A. 206 B. 234 C. 300 D. 354

    1. D

    2. C

    3. B

    4. A

    Show answer & explanation

    Answer: (B) C

    Explanation

    A newborn has about 300 bones (some partly cartilage). Many fuse during growth, for example in the skull, spine and pelvis, so an adult has 206 bones.

  32. Q32Open question

    Select the term that will come next in the following series. 11, 13, 17, 23, 31, 41, 53, 67, 83, ?

    1. 110

    2. 101

    3. 97

    4. 100

    Show answer & explanation

    Answer: (B) 101

    Explanation

    The differences between terms are 2, 4, 6, 8, 10, 12, 14, 16, increasing by 2 each time. The next difference is 18, so the next term = 83 + 18 = 101.

  33. Q33Open question

    If the angles of a triangle are in the ratio of 2 : 5 : 8, then find the value of the smallest angle.

    1. 36°

    2. 18°

    3. 12°

    4. 24°

    Show answer & explanation

    Answer: (D) 24°

    Explanation

    The angles 2x, 5x and 8x add to 15x = 180°, so x = 12°. The smallest angle = 2 × 12 = 24°.

  34. Q34Open question

    When Bablu decreases the selling price of the shoes from Rs. 360 to Rs. 345, his loss increases by 4%. The cost price of the shoes is:

    1. Rs. 275

    2. Rs. 375

    3. Rs. 425

    4. Rs. 450

    Show answer & explanation

    Answer: (B) Rs. 375

    Explanation

    Lowering the price by Rs 15 (360 → 345) increases the loss by 4% of the cost price. So 4% of CP = 15, and CP = 15 × 100/4 = Rs 375.

  35. Q35Open question

    Who received the Dinanath Mangeshkar award for 2015? A. Sanjay Leela Bhansali B. Ranveer Kapoor C. Anil Kapoor D. Amir Khan

    1. A

    2. B

    3. D

    4. C

    Show answer & explanation

    Answer: (D) C

    Explanation

    Actor Anil Kapoor received the Master Dinanath Mangeshkar Award in 2015. The awards, given by the Mangeshkar family in memory of Lata Mangeshkar's father, honour contributions to music, drama and cinema.

  36. Q36Open question

    The following questions are based on the information given below: In a school of 4000 students, 3000 know English, 2000 know French and 500 know Hindi, 1500 know French and English, 300 know French and Hindi, 200 know English and Hindi and 50 know all the three languages. How many do not know any of the three languages? A. 550 B. 500 C. 400 D. 450

    1. B

    2. A

    3. C

    4. D

    Show answer & explanation

    Answer: (D) D

    Explanation

    Students knowing at least one language = 3000 + 2000 + 500 − 1500 − 300 − 200 + 50 = 3550 (inclusion–exclusion). Those who know none = 4000 − 3550 = 450.

  37. Q37Open question

    The following questions are based on the information given below: In a school of 4000 students, 3000 know English, 2000 know French and 500 know Hindi, 1500 know French and English, 300 know French and Hindi, 200 know English and Hindi and 50 know all the three languages. How many know only two languages? A. 450 B. 500 C. 1850 D. 1580

    1. C

    2. B

    3. A

    4. D

    Show answer & explanation

    Answer: (A) C

    Explanation

    Exactly two languages = (French & English − all three) + (French & Hindi − all three) + (English & Hindi − all three) = (1500 − 50) + (300 − 50) + (200 − 50) = 1450 + 250 + 150 = 1850.

  38. Q38Open question

    The following questions are based on the information given below: In a school of 4000 students, 3000 know English, 2000 know French and 500 know Hindi, 1500 know French and English, 300 know French and Hindi, 200 know English and Hindi and 50 know all the three languages. How many know at least one language? A. 3550 B. 3000 C. 1850 D. 3500

    1. A

    2. B

    3. C

    4. D

    Show answer & explanation

    Answer: (A) A

    Explanation

    By inclusion–exclusion: 3000 + 2000 + 500 − 1500 − 300 − 200 + 50 = 3550 students know at least one of the three languages.

  39. Q39Open question

    What is the average of first 30 multiples of 9?

    1. 142

    2. 138.5

    3. 139.5

    4. 143.5

    Show answer & explanation

    Answer: (C) 139.5

    Explanation

    The first 30 multiples of 9 are 9 × 1 to 9 × 30. Their average = 9 × (1 + 30)/2 = 9 × 15.5 = 139.5.

  40. Q40Open question

    Centigrade, is a unit of measurement of temperature named after whom? A. Kelvin B. Jean-Pierre Christin C. Marten Stromer D. Anders Celsius

    1. C

    2. D

    3. A

    4. B

    Show answer & explanation

    Answer: (B) D

    Explanation

    The centigrade scale is named after the Swedish astronomer Anders Celsius, who proposed it in 1742; it is now officially called the Celsius scale. Water freezes at 0 °C and boils at 100 °C at sea level.

  41. Q41Open question

    If ‘when’ means ‘×’, ‘she’ means ‘÷’, ‘will’ means ‘+’ ‘and’ ‘come’ means ‘-‘, then what will the value of “8 when 12 will 16 she 2 come 10”? A. 94 B. 96 C. 100 D. 10

    1. B

    2. D

    3. C

    4. A

    Show answer & explanation

    Answer: (D) A

    Explanation

    Replacing the words: 8 × 12 + 16 ÷ 2 − 10. Multiplication and division first: 96 and 8. Then 96 + 8 − 10 = 94.

  42. Q42Open question

    Which among the following planets is orange in color with white bands on it? A. Mars B. Saturn C. Jupiter D. Venus

    1. C

    2. B

    3. A

    4. D

    Show answer & explanation

    Answer: (A) C

    Explanation

    Jupiter appears orange-brown with white and cream bands: its dark belts and light zones are clouds of ammonia and other compounds moving at different speeds. The Great Red Spot is a giant storm in its southern hemisphere.

  43. Q43Open question

    Which bacterium is used to turn the milk to curd? A. Streptomyces B. Vibrio C. Lactobacillus D. Spirilla

    1. C

    2. B

    3. D

    4. A

    Show answer & explanation

    Answer: (A) C

    Explanation

    Lactobacillus bacteria turn milk into curd by fermenting its sugar, lactose, into lactic acid, which makes the milk protein coagulate. Lactobacillus also adds vitamin B12 to curd.

  44. Q44Open question

    Who is the Railway Minister who presented the 2016 Rail Budget? A. Suresh Prabhu B. Arun Jaitley C. Manoj Sinha D. Jayant Sinha

    1. C

    2. A

    3. B

    4. D

    Show answer & explanation

    Answer: (B) A

    Explanation

    Suresh Prabhu, Railway Minister from 2014 to 2017, presented the Rail Budget for 2016–17 in February 2016. It was the last separate Rail Budget; from 2017 it was merged with the Union Budget.

  45. Q45Open question

    What does SPM in the environment mean? A. Suspended Pollution Mark B. Suspended Particulate Matter C. Suspended Particle Mode D. Suspended Particle Management.

    1. C

    2. B

    3. A

    4. D

    Show answer & explanation

    Answer: (B) B

    Explanation

    SPM stands for Suspended Particulate Matter: tiny solid or liquid particles (dust, smoke, soot) suspended in the air. Fine particles such as PM2.5 and PM10 are major air pollutants harmful to the lungs.

  46. Q46Open question

    Rearrange the jumbled up letters to form a meaningful word and find the odd one out. A. ELMSL B. ERHA C. IKNTH D. SATTE

    1. D

    2. B

    3. C

    4. A

    Show answer & explanation

    Answer: (C) C

    Explanation

    ELMSL = SMELL, ERHA = HEAR, SATTE = TASTE, which are senses (or what the senses do), and IKNTH = THINK. Thinking is a mental process, not one of the senses, so IKNTH is the odd one out.

  47. Q47Open question

    What is the difference between the compound interests on a sum Rs. 10,000 for 1 year at 10% per annum, when compounded yearly and half-yearly?

    1. Rs. 10

    2. Rs. 25

    3. Rs. 5

    4. Rs. 50

    Show answer & explanation

    Answer: (B) Rs. 25

    Explanation

    Compounded yearly at 10%, the interest for 1 year = Rs 1,000. Compounded half-yearly, the rate is 5% per half-year for 2 half-years: 10000 × (1.05² − 1) = 10000 × 0.1025 = Rs 1,025. The difference = Rs 25.

  48. Q48Open question

    Where did Muhammad Bin Tughlaq shift his capital to from Delhi? A. Daulatabad B. Aurangabad C. Allahabad D. Shaharanpur

    1. B

    2. D

    3. A

    4. C

    Show answer & explanation

    Answer: (C) A

    Explanation

    In 1327 Muhammad bin Tughlaq shifted his capital from Delhi to Devagiri in the Deccan, renaming it Daulatabad (in present-day Maharashtra). The move failed because of water shortages and distance, and the capital returned to Delhi.

  49. Q49Open question

    If FHNPKMEG means GOLF, then what does RTSUHJBDJL stand for? A. HORSE B. STICK C. PURSE D. HOLES

    1. D

    2. A

    3. C

    4. B

    Show answer & explanation

    Answer: (D) B

    Explanation

    Each pair of letters stands for the letter that lies between them: F_H = G, N_P = O, K_M = L, E_G = F, giving GOLF. Splitting RTSUHJBDJL into pairs, RT → S, SU → T, HJ → I, BD → C, JL → K, gives STICK.

  50. Q50Open question

    If the standard deviation of a population is 4.5, what would be the population variance?

    1. 20.25

    2. 20

    3. 9

    4. 18

    Show answer & explanation

    Answer: (A) 20.25

    Explanation

    Variance is the square of the standard deviation: 4.5² = 20.25.

  51. Q51Open question

    The tallest bridge in the world Millau Viaduct has been constructed over the river A. Seine B. Tarn C. Durance D. Loire

    1. C

    2. B

    3. D

    4. A

    Show answer & explanation

    Answer: (B) B

    Explanation

    The Millau Viaduct in southern France, a cable-stayed bridge designed by Norman Foster and opened in 2004, spans the valley of the river Tarn. One of its masts reaches about 343 m, making it the world's tallest bridge.

  52. Q52Open question

    A magnetic compass needle always points in?

    1. North Direction

    2. South Direction

    3. East Direction

    4. West Direction

    Show answer & explanation

    Answer: (A) North Direction

    Explanation

    A freely suspended magnetic compass needle lines up with the Earth's magnetic field: its north pole points towards the Earth's geographic north (the magnetic north). Its other end points south, so the needle lies along the north–south line.

  53. Q53Open question

    Who is the current supreme commander of Indian Defense forces? A. Narendra Modi B. Sumitra Mahajan C.Ram Nath Kovind D. Lt. Gen Dalbir Singh

    1. B

    2. D

    3. C

    4. A

    Show answer & explanation

    Answer: (C) C

    Explanation

    Under Article 53 the President of India is the Supreme Commander of the armed forces. Among the options, Ram Nath Kovind (President 2017–2022) is correct for this version of the question; the current President, since 2022, is Droupadi Murmu.

  54. Q54Open question

    If B = 2, K = 11 ; MAN = 0, SIN = 14, then what is the value of HOT? A. 3 B. 0 C. 1 D. 22

    1. C

    2. D

    3. B

    4. A

    Show answer & explanation

    Answer: (D) A

    Explanation

    Letters have their alphabet values (B = 2, K = 11). A three-letter word's value is first + second − third: MAN = 13 + 1 − 14 = 0 and SIN = 19 + 9 − 14 = 14. So HOT = 8 + 15 − 20 = 3.

  55. Q55Open question

    Find the value of \(\frac{{\left( {0.064 - 0.008} \right)\left( {0.16 - 0.04} \right)}}{{\left( {0.16 + 0.08 + 0.04} \right){{\left( {0.4 + 0.2} \right)}^3}}}\)

    1. 1/3

    2. 2/3

    3. 1/9

    4. 3/2

    Show answer & explanation

    Answer: (C) 1/9

    Explanation

    Let a = 0.4 and b = 0.2. Then 0.064 − 0.008 = a³ − b³ = (a − b)(a² + ab + b²), 0.16 − 0.04 = a² − b² = (a − b)(a + b), and the denominator is (a² + ab + b²)(a + b)³. Cancelling gives (a − b)²(a + b)/(a + b)³ = ((a − b)/(a + b))² = (0.2/0.6)² = 1/9.

  56. Q56Open question

    Who made the first chocolate bar? A. Nestle B. The Harshey Company C. Joseph Fry & Sons. D. Pearson's

    1. B

    2. A

    3. C

    4. D

    Show answer & explanation

    Answer: (C) C

    Explanation

    The British company J. S. Fry & Sons of Bristol made the first solid chocolate bar in 1847, by mixing cocoa butter, sugar and cocoa powder into a paste that could be moulded.

  57. Q57Open question

    Find the LCM of 0.63, 10.5, 2.1, 4.20.

    1. 63

    2. 0.63

    3. 6.30

    4. 6300

    Show answer & explanation

    Answer: (A) 63

    Explanation

    Write the numbers over 100: 63/100, 1050/100, 210/100 and 420/100. LCM(63, 1050, 210, 420) = 6300, so the LCM of the decimals = 6300/100 = 63.

  58. Q58Open question

    The camel's hump is a store of-

    1. Water

    2. Fat

    3. Starch

    4. Protein

    Show answer & explanation

    Answer: (B) Fat

    Explanation

    A camel's hump stores fat, not water. When food is scarce the camel breaks this fat down for energy (producing some water as a by-product), which helps it survive long periods in the desert.

  59. Q59Open question

    Based on the analogy given, find the missing word from the given options. Foot : Toes ∷ Hand : ? A. Thumb B. Palm C. Fingers D. Nails

    1. C

    2. A

    3. B

    4. D

    Show answer & explanation

    Answer: (A) C

    Explanation

    Toes are the digits at the end of the foot; fingers are the corresponding digits of the hand.

  60. Q60Open question

    Who designed the pendulum clock? A. Galileo Galilei B. Thomas Alva Edison C. Frederick Jones D. Davidson

    1. A

    2. C

    3. B

    4. D

    Show answer & explanation

    Answer: (A) A

    Explanation

    Galileo Galilei studied pendulums and designed a pendulum-controlled clock around 1641, though he died before it was built. The first working pendulum clock was made by the Dutch scientist Christiaan Huygens in 1656, who is not among the options; that is probably why the question was dropped.

  61. Q61Open question

    The simple interest at y% for ‘y’ years will be Rs. y on a sum. Find the principal amount.

    1. 100/y

    2. 100 × y

    3. 100 × y^2

    4. 100/y^2

    Show answer & explanation

    Answer: (A) 100/y

    Explanation

    SI = P × R × T/100, so y = P × y × y/100. Solving gives P = 100/y.

  62. Q62Open question

    Based on the analogy given, find the missing pair from the given options. Everest : Peak ∷ _______ : ______ A. Yamuna : River B. Chilka : Lake C. Sparrow : Bird D. Jupiter : Planet

    1. A

    2. C

    3. D

    4. B

    Show answer & explanation

    Answer: (C) D

    Explanation

    Everest is the highest peak in the world. In the same way, Jupiter is the largest planet in the Solar System. The Yamuna is not the largest river, Chilika is a large lake but not the largest, and the sparrow is just one bird.

  63. Q63Open question

    Which two signs should be interchanged to make the below equation mathematically correct? 75 ÷ 5 × 15 - 3 + 10 = 60

    1. -, +

    2. -, ×

    3. -, ÷

    4. ×, ÷

    Show answer & explanation

    Answer: (C) -, ÷

    Explanation

    Interchanging − and ÷ turns the left side into 75 − 5 × 15 ÷ 3 + 10. Then 5 × 15 = 75 and 75 ÷ 3 = 25, so the value is 75 − 25 + 10 = 60, which matches the right side.

  64. Q64Open question

    Find the remainder when 4^13 divided by 3?

    1. 1

    2. 2

    3. 0

    4. 3

    Show answer & explanation

    Answer: (A) 1

    Explanation

    4 leaves remainder 1 when divided by 3, so every power of 4 also leaves remainder 1: 4¹³ ≡ 1¹³ = 1 (mod 3).

  65. Q65Open question

    If TABLE is written as 84973 and CHAIR is written as 51462, then how is TEACHER coded? A. 8431532 B. 8341532 C. 8435132 D. 8345132

    1. D

    2. C

    3. A

    4. B

    Show answer & explanation

    Answer: (A) D

    Explanation

    From TABLE = 84973: T 8, A 4, B 9, L 7, E 3. From CHAIR = 51462: C 5, H 1, A 4, I 6, R 2. TEACHER = T 8, E 3, A 4, C 5, H 1, E 3, R 2 = 8345132.

  66. Q66Open question

    Ramu can row 9 km/hr in still water. It takes him twice the time to row up as to row down. Find the rate of flow of the stream.

    1. 16 km/hr

    2. 8 km/hr

    3. 3 km/hr

    4. 9 km/hr

    Show answer & explanation

    Answer: (C) 3 km/hr

    Explanation

    Taking twice as long upstream means the upstream speed is half the downstream speed: 9 + s = 2(9 − s). So 9 + s = 18 − 2s, giving 3s = 9 and s = 3 km/h (check: downstream 12 km/h, upstream 6 km/h).

  67. Q67Open question

    Neeraj’s earning was decreased by 60% and after that subsequently increased by 60%. Find the final loss % on his earning?

    1. 12%

    2. 36%

    3. 4%

    4. 5%

    Show answer & explanation

    Answer: (B) 36%

    Explanation

    Take the earning as 100. After a 60% decrease it is 40; a 60% increase on 40 adds 24, making 64. The net loss is 100 − 64 = 36%.

  68. Q68Open question

    A bus is running at a speed of 90 kmph. What distance will it cover in 20 seconds?

    1. 500 m

    2. 450 m

    3. 180 m

    4. 600 m

    Show answer & explanation

    Answer: (A) 500 m

    Explanation

    90 km/h = 90 × 5/18 = 25 m/s. In 20 seconds the bus covers 25 × 20 = 500 m.

  69. Q69Open question

    In what ratio should Assam Tea costing Rs. 300 per kg be mixed with Darjeeling Tea costing Rs. 400 per kg, so that by selling the mixture at Rs. 408 per kg there is gain of 20%.

    1. 1 : 2

    2. 3 : 2

    3. 2 : 5

    4. 1 : 6

    Show answer & explanation

    Answer: (B) 3 : 2

    Explanation

    Selling at Rs 408 for a 20% gain means the mixture costs 408/1.2 = Rs 340 per kg. By alligation, Assam : Darjeeling = (400 − 340) : (340 − 300) = 60 : 40 = 3 : 2.

  70. Q70Open question

    Consider the following statements & choose the correct option: When two straight lines intersect then, 1. Adjacent angles are supplementary 2. Opposite angles are supplementary

    1. Both 1 & 2 are incorrect.

    2. Both 1 & 2 are correct

    3. 1 is incorrect and 2 is correct

    4. 1 is correct and 2 is incorrect

    Show answer & explanation

    Answer: (D) 1 is correct and 2 is incorrect

    Explanation

    When two lines intersect, adjacent angles lie on a straight line, so they add to 180° (supplementary); statement 1 is correct. Vertically opposite angles are equal, not supplementary (unless both are 90°), so statement 2 is incorrect.

  71. Q71Open question

    Which is the official language for Android development? A. Java B. COBOL C. FORTRON D. Ada

    1. C

    2. B

    3. A

    4. D

    Show answer & explanation

    Answer: (C) A

    Explanation

    Java was the original official language for Android app development, using the Android SDK. Since 2019 Google has preferred Kotlin, but Java remains fully supported. COBOL, FORTRAN and Ada are not used for Android.

  72. Q72Open question

    The largest state (in terms of area) in India is:

    1. Madhya Pradesh

    2. Andhra Pradesh

    3. Maharashtra

    4. Rajasthan

    Show answer & explanation

    Answer: (D) Rajasthan

    Explanation

    Rajasthan is India's largest state by area (about 3.42 lakh sq km, roughly 10.4% of the country). Madhya Pradesh is second and Maharashtra third.

  73. Q73Open question

    Rearrange the jumbled up letters to form a meaningful word and find the odd one out. A. CEKRTCI B. OHKCYE C. ESCSH D. OTOLABLF

    1. C

    2. D

    3. A

    4. B

    Show answer & explanation

    Answer: (A) C

    Explanation

    Unscrambled, the words are CEKRTCI = CRICKET, OHKCYE = HOCKEY, ESCSH = CHESS and OTOLABLF = FOOTBALL. Cricket, hockey and football are outdoor field games played with a ball; chess is an indoor board game, so ESCSH is the odd one out.

  74. Q74Open question

    In humans, exhaled air contains oxygen about ________.

    1. 40%

    2. 44%

    3. 16%

    4. 64%

    Show answer & explanation

    Answer: (C) 16%

    Explanation

    Inhaled air has about 21% oxygen. The body absorbs only part of it, so exhaled air still contains about 16% oxygen, along with about 4% carbon dioxide; this is why mouth-to-mouth resuscitation works.

  75. Q75Open question

    Who invented the mouse of a computer? A. John Backus B. Charlas Babbage C. Douglas Engelbart D. Simon Colton

    1. A

    2. B

    3. C

    4. D

    Show answer & explanation

    Answer: (C) C

    Explanation

    Douglas Engelbart invented the computer mouse in the 1960s at the Stanford Research Institute. The first one was a wooden shell with two metal wheels, shown in his famous 1968 'Mother of All Demos'.

  76. Q76Open question

    Which among the following is the brain of the computer? A. Software B. Hardware C. CPU D. Monitor

    1. A

    2. C

    3. D

    4. B

    Show answer & explanation

    Answer: (B) C

    Explanation

    The CPU (Central Processing Unit) is called the brain of the computer because it carries out instructions, does calculations and controls the other components.

  77. Q77Open question

    Who is the current Chief Election Commissioner of India?(as asked NTPC 2016) A. Syed Nasim Ahmed Zaidi B. Navin Chawla C. N. Gopalaswami D. A.K. Jyoti

    1. D

    2. B

    3. C

    4. A

    Show answer & explanation

    Answer: (D) A

    Explanation

    When this exam was held in 2016, Dr. Syed Nasim Ahmad Zaidi was the Chief Election Commissioner of India (April 2015 – July 2017). Navin Chawla and N. Gopalaswami were earlier CECs, and A. K. Joti succeeded Zaidi.

  78. Q78Open question

    If ‘←’ stands for ‘+’, ‘→’ stands for ‘-‘, ‘↑’ stands for ‘÷’, ‘↓’, stands for ‘x’, ‘^’ stands for ‘=’, then which of the following alternatives is correct? A. 3 ↓ 6 ↑ 2 ← 3 → 6 ^ 5 B. 2 ↓ 5 → 6 ← 2 ^ 6 C. 7 → 43 ↑ 6 ↓ 1 ^ 4 D. 5 ← 7 → 3 ↑ 2 ^ 4

    1. C

    2. D

    3. A

    4. B

    Show answer & explanation

    Answer: (D) B

    Explanation

    Decode option B: 2 ↓ 5 → 6 ← 2 ^ 6 means 2 × 5 − 6 + 2 = 6. The left side is 10 − 6 + 2 = 6, which equals the right side, so B is correct. The other options do not balance.

  79. Q79Open question

    Which among the following is a market where there is a single buyer for a Product/Service?

    1. Monopoly

    2. Duopoly

    3. Monopsony

    4. Oligopoly

    Show answer & explanation

    Answer: (C) Monopsony

    Explanation

    A monopsony is a market with only one buyer and many sellers, for example a single large employer in a town buying labour. A monopoly has one seller, a duopoly two sellers, and an oligopoly a few sellers.

  80. Q80Open question

    B is thrice as efficient as A and C is 0.75 times as efficient as A. What is the ratio of number of days taken by A, B and C when they work individually?

    1. 4 : 1 : 3

    2. 3 : 1 : 4

    3. 2 : 3 : 1

    4. 5 : 1 : 2

    Show answer & explanation

    Answer: (B) 3 : 1 : 4

    Explanation

    Take A's efficiency as 1, so B = 3 and C = 0.75. Days taken are inversely proportional to efficiency: 1 : 1/3 : 4/3. Multiplying by 3 gives 3 : 1 : 4.

  81. Q81Open question

    How many bio-geographical zones are there in India? A. 2 B. 4 C. 6 D. 10

    1. A

    2. C

    3. D

    4. B

    Show answer & explanation

    Answer: (C) D

    Explanation

    The Wildlife Institute of India divides the country into 10 bio-geographic zones: Trans-Himalaya, Himalaya, Desert, Semi-Arid, Western Ghats, Deccan Peninsula, Gangetic Plain, North-East, Coasts, and Islands.

  82. Q82Open question

    Which of the following state have highest number of Lignite coal reserve?

    1. Odisha

    2. Assam

    3. Tamilnadu

    4. Jharkhand

    Show answer & explanation

    Answer: (C) Tamilnadu

    Explanation

    Tamil Nadu has India's largest lignite reserves, about 80% of the total, mostly in the Neyveli area, where NLC India mines it for power generation. Rajasthan and Gujarat also have significant deposits.

  83. Q83Open question

    Where did Rani Lakshmi Bai die fighting the British? A. Varanasi B. Gwalior C. Morar D. Jhansi

    1. B

    2. C

    3. D

    4. A

    Show answer & explanation

    Answer: (A) B

    Explanation

    Rani Lakshmibai of Jhansi died fighting the British on 18 June 1858 at Kotah-ki-Serai near Gwalior, during the Revolt of 1857.

  84. Q84Open question

    Which is the most powerful piece in a game of chess? A. King B. Queen C. Rook D. Knight

    1. C

    2. A

    3. B

    4. D

    Show answer & explanation

    Answer: (C) B

    Explanation

    The queen is the most powerful chess piece: it can move any number of squares horizontally, vertically or diagonally. The king is the most important piece, since the game is lost if it is checkmated, but it moves only one square at a time.

  85. Q85Open question

    An Assertion (A) and a Reason (R) are given below. Assertion (A): The Indian Constitution came into force with effect from 26^th January 1950. Reason (R). 26^th January is celebrated as the Republic day. Choose the correct option. A. A is true but R is false. B. A is false but R is true. C. Both A and R are false. D. Both A and R are true but R is not the correct explanation of A.

    1. C

    2. A

    3. B

    4. D

    Show answer & explanation

    Answer: (D) D

    Explanation

    The Constitution came into force on 26 January 1950, and that day is celebrated as Republic Day, so both statements are true. Saying it is celebrated as Republic Day does not explain why the Constitution came into force then (the date was chosen to honour the 1930 Purna Swaraj declaration), so R is not the explanation of A.

  86. Q86Open question

    If 20 -10 means 200, 8 ÷ 4 means 12, 6 × 2 means 4, 10 + 2 means 5, then 100 – 10 × 1000 ÷ 1000 + 100 × 10 = ? A. 20 B. 10 C. 0 D. 1

    1. B

    2. D

    3. A

    4. C

    Show answer & explanation

    Answer: (D) C

    Explanation

    From the examples: 20 − 10 = 200 means − is ×; 8 ÷ 4 = 12 means ÷ is +; 6 × 2 = 4 means × is −; 10 + 2 = 5 means + is ÷. So 100 − 10 × 1000 ÷ 1000 + 100 × 10 becomes 100 × 10 − 1000 + 1000 ÷ 100 − 10 = 1000 − 1000 + 10 − 10 = 0.

  87. Q87Open question

    Kwality Ltd, a processor of dairy products in India has plants in which of these states of India?

    1. Gujarat

    2. Haryana

    3. Maharashtra

    4. None of these

    Show answer & explanation

    Answer: (B) Haryana

    Explanation

    Kwality Ltd., a dairy company, had its milk processing plants in Haryana (for example at Sonipat and Palwal) and in nearby northern states. The official key marks Haryana.

  88. Q88Open question

    Who was the Chinese pilgrim who visited India during the Gupta period? A. Hiuen Tsang B. Fa Hien C. I ching D. Li Xiu

    1. A

    2. B

    3. C

    4. D

    Show answer & explanation

    Answer: (B) B

    Explanation

    Fa-Hien (Faxian) visited India between about 399 and 411 AD, during the reign of the Gupta king Chandragupta II, and described the empire's prosperity. Hiuen Tsang came later, during Harshavardhana's reign in the 7th century.

  89. Q89Open question

    Atul can do piece of work in 18 days, Aaravya is 50% more efficient than Atul. How much more time does Atul take than Aaravya to do the same piece of work?

    1. 12

    2. 6

    3. 18

    4. 10

    Show answer & explanation

    Answer: (B) 6

    Explanation

    Aaravya is 50% more efficient, so he takes 18/1.5 = 12 days. Atul takes 18 − 12 = 6 days more.

  90. Q90Open question

    Roots of the following equation are 6x2 + 4x - 2 = 0

    1. 1, -1 / 3

    2. 1 / 3, -1 / 3

    3. 1, 1 / 3

    4. -1, 1 / 3

    Show answer & explanation

    Answer: (D) -1, 1 / 3

    Explanation

    Divide by 2: 3x² + 2x − 1 = 0. Factorise: (3x − 1)(x + 1) = 0, so x = 1/3 or x = −1.

  91. Q91Open question

    ‘Deuce’ is a term associated with ________

    1. baseball

    2. cricket

    3. hockey

    4. lawn tennis

    Show answer & explanation

    Answer: (D) lawn tennis

    Explanation

    'Deuce' is a tennis (lawn tennis) term for a score of 40–40 in a game. A player must then win two points in a row ('advantage' and then 'game') to win the game.

  92. Q92Open question

    The shadow of a tower on ground level is increased by 30 m, when the angle of depression by the sun changes from 60° to 30°. The height of the tower is?

    1. 12√3 m

    2. 17√3 m

    3. 16√3 m

    4. 15√3 m

    Show answer & explanation

    Answer: (D) 15√3 m

    Explanation

    Let the height be h. At 60° the shadow is h/√3; at 30° it is h√3. The increase is h√3 − h/√3 = 2h/√3 = 30, so h = 15√3 m.

  93. Q93Open question

    Which of the options given below is called laughing gas? A. N_2O B. CO_2 C. H_2O D. SO_2

    1. A

    2. B

    3. C

    4. D

    Show answer & explanation

    Answer: (A) A

    Explanation

    Nitrous oxide (N₂O) is called laughing gas because inhaling it causes euphoria and laughter. It is used as a mild anaesthetic in surgery and dentistry.

  94. Q94Open question

    Deepak sells all his goods available in his shop at the cost price, but he cheats his customer and gives 20% less goods as he should give. Find his % profit.

    1. 30%

    2. 33%

    3. 25%

    4. 20%

    Show answer & explanation

    Answer: (C) 25%

    Explanation

    He charges the cost price for 100 units but gives only 80. So he receives the price of 100 units for goods that cost him 80: profit = 20 on 80 = 20/80 × 100 = 25%.

  95. Q95Open question

    Who is the current CEO of Flipkart? A. Ananth Narayanan B. Kalyan Krishnamurthy C. Binny Bansal D. Sachin Bansal

    1. A

    2. C

    3. B

    4. D

    Show answer & explanation

    Answer: (B) C

    Explanation

    In 2016 Flipkart's CEO was co-founder Binny Bansal, who took over from Sachin Bansal in January 2016. Kalyan Krishnamurthy became CEO in January 2017.

  96. Q96Open question

    What is the shape of the orbit of the planets? A. Round B. Straight line C. Elliptical D. Stretched out circles

    1. A

    2. D

    3. C

    4. B

    Show answer & explanation

    Answer: (B) D

    Explanation

    By Kepler's first law, planets move round the Sun in elliptical orbits, i.e. ovals, or 'stretched-out circles', with the Sun at one focus. The official key marks 'stretched-out circles', which describes the same elliptical shape in everyday words.

  97. Q97Open question

    What is the minimum value of ‘Y’ for which 267Y2 is divisible by 3?

    1. 2

    2. 1

    3. 0

    4. 5

    Show answer & explanation

    Answer: (B) 1

    Explanation

    A number is divisible by 3 if its digit sum is. 2 + 6 + 7 + Y + 2 = 17 + Y; the smallest Y that makes this a multiple of 3 is 1 (17 + 1 = 18).

  98. Q98Open question

    Ram Naresh got two successive discounts, a bag with a list price of Rs. 400 is available at Rs. 160. If the second discount is 20%. Find the first discount?

    1. 40%

    2. 30%

    3. 50%

    4. 80%

    Show answer & explanation

    Answer: (C) 50%

    Explanation

    After the first discount d and a second discount of 20%: 400 × (1 − d) × 0.8 = 160. So 400 × (1 − d) = 200, giving 1 − d = 0.5. The first discount = 50%.

  99. Q99Open question

    Goecha La is a pass in which of the following Indian State? A. Sikkim B. Assam C. Meghalaya D. Uttarakhand

    1. A

    2. D

    3. C

    4. B

    Show answer & explanation

    Answer: (A) A

    Explanation

    Goecha La is a high mountain pass (about 4,940 m) in western Sikkim, in the Kangchenjunga National Park. It is popular with trekkers for its close view of Mount Kangchenjunga.

  100. Q100Open question

    An Assertion (A) and a Reason (R) are given below. Assertion (A): Clothes are not washed properly in hard water. Reason (R): Hard water contains many minerals. Choose the correct option. A. A is true but R is false. B. A is false but R is true. C. Both A and R are true and R is the correct explanation of A. D. Both A and R are true but R is not the correct explanation of A.

    1. D

    2. A

    3. C

    4. B

    Show answer & explanation

    Answer: (A) D

    Explanation

    Clothes are not washed well in hard water, and hard water does contain dissolved minerals, so both statements are true. The real reason is that calcium and magnesium salts react with soap to form scum instead of lather; 'contains many minerals' is too general to explain it, so the key marks D.

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