1. Q1Open question

    Find the group of letters that best completes the analogy (use alphabetical positions and reverse position logic where necessary). BEKQ : YVPJ :: CFGL : ?

    1. XUOM
    2. XUTO
    3. XUPM
    4. XVPL
    Show answer & explanation

    Answer: (B) XUTO

    Explanation

    Each letter is replaced by its opposite (27 − position): C→X, F→U, G→T, L→O gives XUTO.

  2. Q2Open question

    Choose the odd one out: (17, P, #), (13, J, !), (19, R, %), (23, V, @)

    1. (17, P, #)
    2. (13, J, !)
    3. (19, R, %)
    4. (23, V, @)
    Show answer & explanation

    Answer: (B) (13, J, !)

    Explanation

    In the others the number is the letter's position + 1 (P16, R18, V22); J is 10, not 12.

  3. Q3Open question

    A's father's wife's only daughter is B. How is A related to B? (Assuming A is a male member)

    1. Sister
    2. Cousin
    3. Brother
    4. Uncle
    Show answer & explanation

    Answer: (C) Brother

    Explanation

    B is A's sister, so the male A is her brother.

  4. Q4Open question

    Choose the correct option to complete the analogy. Growth : Stagnation :: Success : ?

    1. Achievement
    2. Failure
    3. Progress
    4. Gain
    Show answer & explanation

    Answer: (B) Failure

    Explanation

    Antonym pairs: success versus failure.

  5. Q5Open question

    Select the letter-cluster that can replace the question mark (?) in the following series. PRT, OQS, NPR, ?

    1. GAS
    2. MJS
    3. GHA
    4. MOQ
    Show answer & explanation

    Answer: (D) MOQ

    Explanation

    Each letter −1: MOQ.

  6. Q6Open question

    Statement: Smoking is prohibited in public places as per the new law. Conclusions: I. People can smoke in private spaces. II. Smoking harms public health.

    1. Only Conclusion I follows
    2. Only Conclusion II follows
    3. Both I and II follow
    4. Neither I nor II follows
    Show answer & explanation

    Answer: (B) Only Conclusion II follows

    Explanation

    A public ban implies concern for public health; private smoking isn't addressed.

  7. Q7Open question

    If a $ b = 2, where a $ b = a² − b, what is the value of a and b?

    1. 2, 2
    2. 8, 1
    3. 4, 5
    4. 9, 6
    Show answer & explanation

    Answer: (A) 2, 2

    Explanation

    2² − 2 = 2.

  8. Q8Open question

    P + Q means P is the husband of Q, P − Q means P is the sister of Q, P × Q means P is the mother of Q. Then what does A × B + C mean?

    1. A is mother-in-law of C
    2. A is mother of C
    3. A is sister-in-law of C
    4. A is grandmother of C
    Show answer & explanation

    Answer: (A) A is mother-in-law of C

    Explanation

    A is B's mother and B is C's husband, so A is C's mother-in-law.

  9. Q9Open question

    Identify the odd number: 1, 8, 27, 64, 121, 216

    1. 64
    2. 121
    3. 216
    4. 27
    Show answer & explanation

    Answer: (B) 121

    Explanation

    121 is a square (11²), not a cube.

  10. Q10Open question

    Each of the letters in the word HARMONIOUS is arranged in alphabetical order. How many letters are there in the English alphabetical series between the letter that is first from the left and the one that is fourth from the right in the new letter-cluster formed?

    1. 12
    2. 13
    3. 15
    4. 11
    Show answer & explanation

    Answer: (B) 13

    Explanation

    AHIMNOORSU: A is 1st and O is 4th from the right; A (1) to O (15) has 13 letters between.

  11. Q11Open question

    Complete the series: 24, 120, 720, 5040, 40320, __________ ?

    1. 461291
    2. 362880
    3. 242880
    4. 162770
    Show answer & explanation

    Answer: (B) 362880

    Explanation

    Factorials: 9! = 362,880.

  12. Q12Open question

    Select the letter-cluster that can replace the question mark (?) in the following series. XJL, YMK, ZPJ, ?

    1. ASI
    2. ZOO
    3. AAP
    4. ZMP
    Show answer & explanation

    Answer: (A) ASI

    Explanation

    Shifts +1, +3, −1: ASI.

  13. Q13Open question

    A word is transformed by rearranging its letters according to a specific pattern. Apply the same pattern to the third word. EXCUSE : CXEESU :: ERODES : ?

    1. OREESD
    2. ORESED
    3. REOSDE
    4. ERODSE
    Show answer & explanation

    Answer: (B) ORESED

    Explanation

    Each half is reversed: ERO → ORE, DES → SED gives ORESED.

  14. Q14Open question

    X and Y are brothers. Z is the wife of Y. A is the father of X. B is the daughter of Z. How is B related to A?

    1. Daughter
    2. Granddaughter
    3. Niece
    4. Sister
    Show answer & explanation

    Answer: (B) Granddaughter

    Explanation

    B is Y's daughter and A is Y's father.

  15. Q15Open question

    Statement: The Himalayas act as a natural barrier that prevents the monsoon winds from reaching the northern plains, thereby creating a dry region in the rain shadow area. Assumptions: I. The Himalayas prevent monsoon winds from reaching certain areas. II. The rain shadow effect leads to dry conditions in specific regions. III. Monsoon winds are the sole cause of rainfall in the northern plains.

    1. Only I and II are implicit
    2. Only II and III are implicit
    3. Only I is implicit
    4. All assumptions are implicit
    Show answer & explanation

    Answer: (A) Only I and II are implicit

    Explanation

    I and II are built into the statement; 'sole cause' is not implied.

  16. Q16Open question

    A sum becomes 2.5 times in 10 years under simple interest. Find the rate.

    1. 10%
    2. 12.5%
    3. 15%
    4. 20%
    Show answer & explanation

    Answer: (C) 15%

    Explanation

    Interest of 150% over 10 years is 15% a year.

  17. Q17Open question

    Which letter in the word “TREATMENT” is equidistant from both ends?

    1. A
    2. T
    3. E
    4. M
    Show answer & explanation

    Answer: (B) T

    Explanation

    The 5th of 9 letters is T.

  18. Q18Open question

    Which one is different from the rest?

    1. Rose
    2. Guava
    3. Banana
    4. Papaya
    Show answer & explanation

    Answer: (A) Rose

    Explanation

    Rose is a flower; the rest are fruits.

  19. Q19Open question

    Find the word that does not fit in the series: Silent, Muted, Tranquil, Clamorous, Calm

    1. Silent
    2. Muted
    3. Tranquil
    4. Clamorous
    Show answer & explanation

    Answer: (D) Clamorous

    Explanation

    Clamorous means noisy; the others mean quiet.

  20. Q20Open question

    Which of the following is/are identical to the address given: Priya Yadav B-22, Rosewood Heights, Sector 15, Gurgaon, 122002 1. Priya Yadav B-22, Rosewood Heights, Sector 15, Gurgaon, 122002 2. Priya Yadav B-22, Rosewood Heights, Sector 15, Gurugram, 122002 3. Priya Yadav B-22, Rosewood Heights, Sector 15, Gurgaon, 122003 4. Priya Yadav B-22, Rosewood Heights, Sector 15, Gurgaon, 122001

    1. 2 Only
    2. 1 Only
    3. 4 Only
    4. 3 Only
    Show answer & explanation

    Answer: (B) 1 Only

    Explanation

    Only address 1 matches.

  21. Q21Open question

    Each of the letters in the word LAPTOP is arranged in alphabetical order. How many letters are there in the English alphabetical series between the letter that is fourth from the left and the one that is first from the right in the new letter-cluster formed?

    1. Two
    2. Four
    3. Three
    4. One
    Show answer & explanation

    Answer: (C) Three

    Explanation

    ALOPPT: 4th is P and last is T; Q, R, S lie between.

  22. Q22Open question

    If the sum of 42 and 42 is multiplied by 4, what is the result?

    1. 332
    2. 336
    3. 340
    4. 348
    Show answer & explanation

    Answer: (B) 336

    Explanation

    84 × 4 = 336.

  23. Q23Open question

    If 2 @ 3 = 25 and 3 @ 4 = 49, what is 4 @ 5?

    1. 81
    2. 100
    3. 121
    4. 91
    Show answer & explanation

    Answer: (A) 81

    Explanation

    (a + b)²: 9² = 81.

  24. Q24Open question

    If 'READ' is coded as 'SFBE', how is 'BOOK' coded?

    1. CPPL
    2. DQQM
    3. APPL
    4. AQQM
    Show answer & explanation

    Answer: (A) CPPL

    Explanation

    Each letter +1.

  25. Q25Open question

    What will come at the place of the question mark? 1, 9, 31, 73, 141, ?

    1. 241
    2. 398
    3. 49
    4. 155
    Show answer & explanation

    Answer: (A) 241

    Explanation

    Differences 8, 22, 42, 68 grow by 14, 20, 26, so the next difference is 100: 241.

  26. Q26Open question

    Mineral-rich regions generally experience population growth because:

    1. They promote tourism only
    2. They ensure better rainfall
    3. They generate employment through industries
    4. They discourage migration
    Show answer & explanation

    Answer: (C) They generate employment through industries

    Explanation

    Mining and industry create jobs that attract people.

  27. Q27Open question

    Which factor primarily causes orographic rainfall?

    1. Intense surface heating
    2. Air rising over mountain barriers
    3. Cyclonic convergence
    4. Cold polar winds
    Show answer & explanation

    Answer: (B) Air rising over mountain barriers

    Explanation

    Moist air forced up mountains cools and condenses.

  28. Q28Open question

    The bending of sound waves around obstacles is known as:

    1. Reflection
    2. Refraction
    3. Diffraction
    4. Interference
    Show answer & explanation

    Answer: (C) Diffraction

    Explanation

    Diffraction is bending around obstacles.

  29. Q29Open question

    The NISAR mission is particularly useful for studying:

    1. Ocean salinity variations
    2. Land surface deformation and earthquakes
    3. Solar radiation patterns
    4. Deep-space objects
    Show answer & explanation

    Answer: (B) Land surface deformation and earthquakes

    Explanation

    NISAR's radar maps surface deformation, ice and ecosystems.

  30. Q30Open question

    Who inaugurated the PM GatiShakti National Master Plan?

    1. Nitin Gadkari
    2. Narendra Modi
    3. Piyush Goyal
    4. Amit Shah
    Show answer & explanation

    Answer: (B) Narendra Modi

    Explanation

    PM Modi launched it on 13 October 2021.

  31. Q31Open question

    Ishwar Chandra Vidyasagar is best remembered for his role in:

    1. Leading peasant uprisings
    2. Reforming widow remarriage laws
    3. Establishing armed resistance groups
    4. Introducing English education alone
    Show answer & explanation

    Answer: (B) Reforming widow remarriage laws

    Explanation

    He campaigned for the Hindu Widows' Remarriage Act, 1856.

  32. Q32Open question

    The Ranji Trophy is named after:

    1. Ranjit Singh of Kapurthala
    2. Ranjitsinhji of Nawanagar
    3. Ranjit Desai
    4. Ranjit Rathore
    Show answer & explanation

    Answer: (B) Ranjitsinhji of Nawanagar

    Explanation

    K.S. Ranjitsinhji, Jam Sahib of Nawanagar.

  33. Q33Open question

    The Aravalli Green Wall Project mainly focuses on:

    1. Coastal afforestation
    2. Desert irrigation
    3. Reviving degraded landscapes
    4. Urban forestry only
    Show answer & explanation

    Answer: (C) Reviving degraded landscapes

    Explanation

    It restores degraded land along the Aravalli range.

  34. Q34Open question

    Assertion (A): Midnight’s Children explores India’s post-independence history through magical realism. Reason (R): The novel received the Booker Prize for its innovative narrative style.

    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: (B) Both A and R are true, but R is not the correct explanation of A

    Explanation

    Both are true, but the prize doesn't explain the content.

  35. Q35Open question

    Which of the following statements about backstroke swimming technique is correct?

    1. The swimmer breathes only on alternate laps
    2. Arms move alternately in a continuous circular motion
    3. Kicking is performed only during turns
    4. The swimmer faces downward in water
    Show answer & explanation

    Answer: (B) Arms move alternately in a continuous circular motion

    Explanation

    Backstroke uses alternating circular arm strokes while facing up.

  36. Q36Open question

    The authority to certify a Bill as a Money Bill rests with the:

    1. President of India
    2. Finance Secretary
    3. Speaker of the Lok Sabha
    4. Chairman of Rajya Sabha
    Show answer & explanation

    Answer: (C) Speaker of the Lok Sabha

    Explanation

    Article 110(3): the Speaker's decision is final.

  37. Q37Open question

    Under the Bharatiya Nyaya Sanhita (BNS), which offence would qualify as organized crime?

    1. Single act of shoplifting
    2. Coordinated cyber fraud by a group
    3. Minor traffic violation
    4. Personal dispute assault
    Show answer & explanation

    Answer: (B) Coordinated cyber fraud by a group

    Explanation

    BNS Section 111 includes cyber crimes by organised groups.

  38. Q38Open question

    Who was the first Indian woman to win a gold medal at the Asian Games in athletics?

    1. P.T. Usha
    2. M.L. Valsamma
    3. Kamaljeet Sandhu
    4. Anju Bobby George
    Show answer & explanation

    Answer: (C) Kamaljeet Sandhu

    Explanation

    Kamaljeet Sandhu won 400 m gold in 1970, the first by an Indian woman at the Asian Games.

  39. Q39Open question

    Assertion (A): The National Single Window System simplifies business approvals. Reason (R): It integrates clearances from multiple ministries on one platform.

    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: (A) Both A and R are true, and R is the correct explanation of A

    Explanation

    A single platform for approvals is exactly how it simplifies them.

  40. Q40Open question

    The joint military exercise “Maitree” is conducted between India and which country?

    1. Thailand
    2. Nepal
    3. Sri Lanka
    4. Myanmar
    Show answer & explanation

    Answer: (A) Thailand

    Explanation

    Maitree is the India-Thailand army exercise.

  41. Q41Open question

    Light pollution most severely affects observation of:

    1. Solar eclipses
    2. Meteors during daytime
    3. Faint galaxies and nebulae
    4. Moon phases
    Show answer & explanation

    Answer: (C) Faint galaxies and nebulae

    Explanation

    Sky glow drowns out faint deep-sky objects.

  42. Q42Open question

    According to recent tourism indices, strong infrastructure contributes to:

    1. Lower tourist inflow
    2. Higher tourism competitiveness
    3. Decline in service quality
    4. Reduced employment
    Show answer & explanation

    Answer: (B) Higher tourism competitiveness

    Explanation

    Infrastructure is a key pillar of tourism competitiveness.

  43. Q43Open question

    In Indian classical music, Sushira Vadya refers to:

    1. Instruments producing sound by stretched membranes
    2. String instruments played with fingers or bow
    3. Wind instruments where sound is produced by air vibration
    4. Solid instruments struck together for rhythm
    Show answer & explanation

    Answer: (C) Wind instruments where sound is produced by air vibration

    Explanation

    Sushira = wind instruments (e.g. flute, shehnai).

  44. Q44Open question

    Replacement-level fertility refers to:

    1. Zero population growth
    2. Birth rate equal to death rate
    3. Fertility rate required to replace parents
    4. Fertility decline in old age
    Show answer & explanation

    Answer: (C) Fertility rate required to replace parents

    Explanation

    A TFR of about 2.1 replaces the parents' generation.

  45. Q45Open question

    Joint sector enterprises involve:

    1. Only private ownership
    2. Government and private ownership together
    3. Complete foreign ownership
    4. Cooperative societies only
    Show answer & explanation

    Answer: (B) Government and private ownership together

    Explanation

    The joint sector combines public and private ownership.

  46. Q46Open question

    Article 263 of the Indian Constitution relates to:

    1. Emergency provisions
    2. Inter-State Council
    3. Finance Commission
    4. Election Commission
    Show answer & explanation

    Answer: (B) Inter-State Council

    Explanation

    Article 263 provides for the Inter-State Council.

  47. Q47Open question

    Which macromolecule primarily stores genetic information?

    1. Proteins
    2. Lipids
    3. Carbohydrates
    4. Nucleic acids
    Show answer & explanation

    Answer: (D) Nucleic acids

    Explanation

    DNA and RNA are nucleic acids.

  48. Q48Open question

    Statement I: The torana of a stupa serves as an ornamental gateway marking the sacred precinct. Statement II: The torana functioned as the chamber where Buddhist relics were preserved.

    1. Both statements are true and Statement II is the correct explanation of Statement I
    2. Both statements are true but Statement II is not the correct explanation of Statement I
    3. Statement I is true but Statement II is false
    4. Statement II is true but Statement I is false
    Show answer & explanation

    Answer: (C) Statement I is true but Statement II is false

    Explanation

    Relics are kept in the anda/harmika, not in the gateway (torana).

  49. Q49Open question

    Which Veda is mainly concerned with chants and melodies used during sacrificial rituals?

    1. Rigveda
    2. Yajurveda
    3. Samaveda
    4. Atharvaveda
    Show answer & explanation

    Answer: (C) Samaveda

    Explanation

    The Samaveda is the Veda of melodies.

  50. Q50Open question

    Which scheme focuses on improving soil fertility through balanced nutrient use?

    1. PMFBY
    2. PKVY
    3. Soil Health Card Scheme
    4. PMKSY
    Show answer & explanation

    Answer: (C) Soil Health Card Scheme

    Explanation

    Soil Health Cards recommend balanced fertiliser use.

  51. Q51Open question

    If x = √6 − √2 and y = √5 − √3, then which of the following is true?

    1. x = y
    2. x < y
    3. x > y
    4. Cannot be determined
    Show answer & explanation

    Answer: (C) x > y

    Explanation

    x ≈ 1.035 and y ≈ 0.504, so x > y.

  52. Q52Open question

    Evaluate: (1/5 ÷ 1/3) ÷ (1/10 + 1 − 8/10)

    1. 4
    2. 2
    3. 6
    4. 3
    Show answer & explanation

    Answer: (B) 2

    Explanation

    3/5 ÷ 3/10 = 2.

  53. Q53Open question

    Red, blue and green balls are in ratio 2:3:5. If 15 red, 10 blue and an unknown number of green balls are added, the ratio becomes 3:4:6. How many green balls were added?

    1. 3
    2. 5
    3. 7
    4. 0
    Show answer & explanation

    Answer: (D) 0

    Explanation

    (2k + 15)/(3k + 10) = 3/4 gives k = 30; green must be 150 = 5k, so 0 are added.

  54. Q54Open question

    P invests ₹30,000 for 12 months, Q invests ₹40,000 for 9 months. What is P's share of ₹28,000 profit?

    1. ₹12,000
    2. ₹14,000
    3. ₹16,000
    4. ₹18,000
    Show answer & explanation

    Answer: (B) ₹14,000

    Explanation

    3.6 L = 3.6 L, so the profit splits equally: ₹14,000.

  55. Q55Open question

    M and N start a business with capital ratio 4:3. After 5 months, M withdraws ₹8,000 and N doubles his. If M invested ₹40,000 and the total profit for one year is ₹60,000, what is M's share?

    1. ₹28,800
    2. ₹33,600
    3. ₹25,600
    4. ₹35,000
    Show answer & explanation

    Answer: (C) ₹25,600

    Explanation

    M = 40k×5 + 32k×7 = 4.24 L; N = 30k×5 + 60k×7 = 5.7 L; M ≈ 4.24/9.94 × 60,000 ≈ ₹25,600.

  56. Q56Open question

    What is the average of all three-digit numbers divisible by 19?

    1. 475
    2. 525
    3. 551
    4. 575
    Show answer & explanation

    Answer: (C) 551

    Explanation

    Multiples from 114 to 988; average = 551.

  57. Q57Open question

    Two containers of the same volume are 35% and 60% full of water respectively. They are then completely filled with milk and mixed in a larger vessel. What % is milk?

    1. 47.5%
    2. 50%
    3. 52.5%
    4. 55%
    Show answer & explanation

    Answer: (C) 52.5%

    Explanation

    Water = 0.95 of 2 volumes = 47.5%, so milk = 52.5%.

  58. Q58Open question

    A shop ordered 8 dozen type-A pens and some dozen type-B pens. Type-A costs 2.5 times type-B per dozen. When delivered, quantities were swapped and the bill increased by 50%. What was the original ratio of type-A to type-B?

    1. 1:1
    2. 4:11
    3. 2:13
    4. 13:12
    Show answer & explanation

    Answer: (B) 4:11

    Explanation

    2.5x + 8 = 1.5(20 + x) gives x = 22, so 8 : 22 = 4 : 11.

  59. Q59Open question

    A merchant bought 150 flowers for ₹600. 18 flowers withered. To earn 25% profit on total cost, what is the selling price per flower?

    1. ₹5.26
    2. ₹5.56
    3. ₹5.68
    4. ₹6.25
    Show answer & explanation

    Answer: (C) ₹5.68

    Explanation

    750/132 ≈ ₹5.68.

  60. Q60Open question

    A store sells an item for ₹W at 20% profit. During a sale, the marked price becomes ₹1.5W with a 15% discount. What is the profit % during the sale?

    1. 27.5%
    2. 32.5%
    3. 42.5%
    4. 53%
    Show answer & explanation

    Answer: (D) 53%

    Explanation

    SP = 1.275W and CP = W/1.2, so profit = 53%.

  61. Q61Open question

    A solution has acid : water = 6 : 4. If 5 L of water is added, the new ratio is 6 : 5. What was the original acid quantity?

    1. 15L
    2. 18L
    3. 24L
    4. 30L
    Show answer & explanation

    Answer: (D) 30L

    Explanation

    6k/(4k + 5) = 6/5 gives k = 5, so acid = 30 L.

  62. Q62Open question

    P completes a job in 15 days, Q in 20 days. P and Q agree to do it for ₹6,000. With R they finish in 4 days. What is R's payment?

    1. ₹1,800
    2. ₹3,200
    3. ₹2,400
    4. ₹2,800
    Show answer & explanation

    Answer: (B) ₹3,200

    Explanation

    P + Q do 7/15 in 4 days, so R does 8/15: ₹3,200.

  63. Q63Open question

    A tank contains liquids A, B, and C in the ratio 8:6:4. 30 liters of the mixture are drained out, after which 12 liters of A and 8 liters of C are added. In the final mixture, the quantity of A is 20 liters more than the quantity of B. Find the initial total volume of the mixture in the tank.

    1. 106L
    2. 172L
    3. 102L
    4. 190L
    Show answer & explanation

    Answer: (C) 102L

    Explanation

    With 18k litres: (8k − 13.33 + 12) − (6k − 10) = 20 gives k ≈ 5.67, total 102 L.

  64. Q64Open question

    The time ratio for X:Y to complete a task is 5:3. Y alone takes 15 hours. How long do X and Y take together?

    1. 8.5 hrs
    2. 9.375 hrs
    3. 10 hrs
    4. 11 hrs
    Show answer & explanation

    Answer: (B) 9.375 hrs

    Explanation

    X = 25 h; together 1/(1/25 + 1/15) = 9.375 h.

  65. Q65Open question

    Three runners on a 2.5 km circular track start at the same point with speeds 8, 10 and 12 km/h. From 9 am to 3 pm, how many times do they meet at the start?

    1. 1 time
    2. 2 times
    3. 5 times
    4. 4 times
    Show answer & explanation

    Answer: (C) 5 times

    Explanation

    Lap times 18.75, 15 and 12.5 min have LCM 75 min. In 360 min they meet at 75, 150, 225, 300; the key's 5 also counts the 9 am start.

  66. Q66Open question

    A circular path 2 m wide runs around a park of radius 10 m. What is the area of the path?

    1. 131.1 m²
    2. 138.2 m²
    3. 144.5 m²
    4. 150.7 m²
    Show answer & explanation

    Answer: (B) 138.2 m²

    Explanation

    π(12² − 10²) = 44π ≈ 138.2 m².

  67. Q67Open question

    Find the slope of the line perpendicular to y = (1/3)x + 5.

    1. −3
    2. 3
    3. −1/3
    4. 1/3
    Show answer & explanation

    Answer: (A) −3

    Explanation

    The negative reciprocal of 1/3 is −3.

  68. Q68Open question

    Convert 3.2 radians to degrees.

    1. 151.25°
    2. 160°
    3. 183.27°
    4. 200°
    Show answer & explanation

    Answer: (C) 183.27°

    Explanation

    3.2 × 180/π ≈ 183.3° (≈ 183.27° with π = 22/7).

  69. Q69Open question

    Find the area of a sector of a circle with radius 12 cm and central angle π/5 radians.

    1. 30.16 cm²
    2. 45.24 cm²
    3. 60.48 cm²
    4. 75.6 cm²
    Show answer & explanation

    Answer: (B) 45.24 cm²

    Explanation

    ½ × 144 × π/5 = 14.4π ≈ 45.24 cm².

  70. Q70Open question

    If tan B = cot(4B − 45°), what is B?

    1. 20°
    2. 25°
    3. 30°
    4. 27°
    Show answer & explanation

    Answer: (D) 27°

    Explanation

    B + 4B − 45° = 90°, so B = 27°.

  71. Q71Open question

    If two triangles are similar and the ratio of their corresponding altitudes is 3:7, find the ratio of their areas.

    1. 3:7
    2. 9:49
    3. 6:14
    4. 9:14
    Show answer & explanation

    Answer: (B) 9:49

    Explanation

    Areas go as the square of the ratio: 9 : 49.

  72. Q72Open question

    Given b = √7, what is (b + 2)² + (b − 2)²?

    1. 18
    2. 20
    3. 22
    4. 24
    Show answer & explanation

    Answer: (C) 22

    Explanation

    2(b² + 4) = 2 × 11 = 22.

  73. Q73Open question

    Simplify: √72 + √20 − √18

    1. 5√2
    2. 3√2 + 2√5
    3. 6√2
    4. 7√2
    Show answer & explanation

    Answer: (B) 3√2 + 2√5

    Explanation

    6√2 + 2√5 − 3√2 = 3√2 + 2√5.

  74. Q74Open question

    What is the maximum possible length of a chord in a circle with a diameter of 28 cm?

    1. 14cm
    2. 21cm
    3. 28cm
    4. 56cm
    Show answer & explanation

    Answer: (C) 28cm

    Explanation

    The longest chord is the diameter.

  75. Q75Open question

    If cos A − sin A = √3 cos A, what is tan A?

    1. √3
    2. 1
    3. √3 − 1
    4. 1 − √3
    Show answer & explanation

    Answer: (D) 1 − √3

    Explanation

    Dividing by cos A: 1 − tan A = √3, so tan A = 1 − √3.

  76. Q76Open question

    Choose the correct one-word substitute for: ‘A formal speech or writing that offers elaborate praise for someone’

    1. Dirge
    2. Panegyric
    3. Homily
    4. Monologue
    Show answer & explanation

    Answer: (B) Panegyric

    Explanation

    A panegyric is a formal tribute of praise.

  77. Q77Open question

    Select the correct option: The circular stated that all staff must comply ______ the updated safety guidelines.

    1. to
    2. with
    3. for
    4. at
    Show answer & explanation

    Answer: (B) with

    Explanation

    'Comply with'.

  78. Q78Open question

    Choose the most suitable option to replace the highlighted part of the sentence: He is confident to clear the interview.

    1. at clearing the interview
    2. for clearing the interview
    3. of clearing the interview
    4. to clearing the interview
    Show answer & explanation

    Answer: (C) of clearing the interview

    Explanation

    'Confident of' + gerund.

  79. Q79Open question

    Find the part of the sentence that contains an error: The committee’s recommendations, striking in both breadth and detail, (1)/ triggered reactions not only from the departments involved (2)/ but also from the reviewers who state they (3)/ had not been permitted to examine key files. (4)

    1. (1)
    2. (2)
    3. (3)
    4. (4)
    Show answer & explanation

    Answer: (C) (3)

    Explanation

    Tense sequence requires 'who stated'.

  80. Q80Open question

    Find the part of the sentence that contains an error: That several civic bodies have revived obsolete regulations (1)/ to curb public criticism does not only indicate administrative expediency (2)/ but also weakens the democratic spirit (3)/ that those provisions were intended to safeguard. (4)

    1. (1)
    2. (2)
    3. (3)
    4. (4)
    Show answer & explanation

    Answer: (B) (2)

    Explanation

    Parallel with 'but also weakens': 'not only indicates'.

  81. Q81Open question

    Choose the most suitable option to replace the highlighted part of the sentence: You must adapt with these changing circumstances.

    1. to these changing circumstances
    2. adapt these changing circumstances
    3. adapt to these changing circumstances
    4. by these changing circumstances
    Show answer & explanation

    Answer: (C) adapt to these changing circumstances

    Explanation

    'Adapt to'.

  82. Q82Open question

    Rearrange the following sentences to form a coherent paragraph: 1. This helps a developer define both the structure and actions of an object-focused program. 2. Object-Oriented Programming (OOP) is an approach that organizes code around “objects” that bundle data and methods. 3. A core idea in OOP is the “class,” which serves as a template to create objects. 4. The major benefit is that it mirrors real-world entities, making large systems easier to maintain and debug.

    1. 2, 3, 1, 4
    2. 3, 2, 1, 4
    3. 2, 1, 3, 4
    4. 4, 2, 3, 1
    Show answer & explanation

    Answer: (A) 2, 3, 1, 4

    Explanation

    Definition (2), class (3), what it helps with (1), benefit (4).

  83. Q83Open question

    Select the most appropriate antonym of the given word: DECEITFUL

    1. Duplicitous
    2. Underhanded
    3. Candid
    4. Crafty
    Show answer & explanation

    Answer: (C) Candid

    Explanation

    Candid (honest) is the opposite of deceitful.

  84. Q84Open question

    Spot the correct spelling of a microchip patterning technique.

    1. Nanoimprint lithography
    2. Nanoimprient lithography
    3. Nanoimprint lithographie
    4. Nanoimprnt lithography
    Show answer & explanation

    Answer: (A) Nanoimprint lithography

    Explanation

    The correct spelling is Nanoimprint lithography.

  85. Q85Open question

    Rearrange the following sentences to form a coherent paragraph: 1. This mechanism, central to evolution, ensures that individuals best suited to their surroundings survive to reproduce. 2. Over vast periods, the variety of life emerges through slow and continuous change. 3. As a result, beneficial traits gradually become more common within the population. 4. The process begins with inherited differences, where certain individuals possess advantages over others.

    1. 4, 2, 3, 1
    2. 2, 4, 1, 3
    3. 2, 1, 4, 3
    4. 1, 4, 3, 2
    Show answer & explanation

    Answer: (B) 2, 4, 1, 3

    Explanation

    Overview (2), start (4), mechanism (1), result (3).

  86. Q86Open question

    Select the sentence containing the homonym of the highlighted word: She bought a ream of printer paper for the office.

    1. The author had to go through reams of notes to write her book.
    2. He produced reams of paperwork, but none of it was useful.
    3. The plumber had to ream out the pipes to remove the blockage.
    4. The admin ordered one ream of A4 sheets for the office.
    Show answer & explanation

    Answer: (C) The plumber had to ream out the pipes to remove the blockage.

    Explanation

    In (c) 'ream' is a verb meaning to widen or clean out a hole.

  87. Q87Open question

    Change the following from active to passive: The committee has endorsed the revised guidelines.

    1. The revised guidelines have been endorsed by the committee.
    2. The revised guidelines were being endorsed by the committee.
    3. The revised guidelines had been endorsed by the committee.
    4. The revised guidelines are endorsed by the committee.
    Show answer & explanation

    Answer: (A) The revised guidelines have been endorsed by the committee.

    Explanation

    Present perfect passive: have been + V3.

  88. Q88Open question

    Convert the sentence provided below from its passive voice structure to an active voice structure: The bridge is reported to have been shut down due to safety concerns.

    1. It is reported that the engineers shut down the bridge due to safety concerns.
    2. Officials reportedly shut down the bridge because of safety concerns.
    3. Authorities report that they have shut down the bridge due to safety concerns.
    4. Safety concerns reportedly shut down the bridge.
    Show answer & explanation

    Answer: (C) Authorities report that they have shut down the bridge due to safety concerns.

    Explanation

    As per the key, (c) supplies an agent and keeps the present-report / perfect-action tense relationship.

  89. Q89Open question

    Choose the correct meaning of idiom: Rain on someone’s parade

    1. To make something famous
    2. To spoil or discourage someone’s excitement
    3. To remove worries completely
    4. To motivate with great enthusiasm
    Show answer & explanation

    Answer: (B) To spoil or discourage someone’s excitement

    Explanation

    It means to spoil someone's plans or joy.

  90. Q90Open question

    Read the following passage and answer the question based on it. Passage: Over the past ten years, India’s shift toward a digital-first society has been remarkably transformative. What started as an effort to widen internet reach has steadily grown into one of the world’s largest digital networks. Driven by flagship government programmes like Digital India, the nation has seen rapid expansion in internet usage, digital transactions, and e-governance. A defining milestone was the introduction of Aadhaar, a biometric identity platform that made access to multiple public services safer and more efficient. Alongside this, the growth of the Unified Payments Interface (UPI) helped India bypass older banking limitations by enabling instant, affordable transfers across both cities and villages. Notably, the COVID-19 outbreak became an unforeseen accelerator. With restrictions and distancing norms in place, people increasingly depended on digital alternatives—telehealth, virtual learning, and work-from-home became necessities. This sudden reliance pushed institutions to strengthen infrastructure and adopt scalable tech. Yet, challenges remain. The digital gap between urban and rural India continues, with many villages still lacking stable connectivity while metros benefit from faster broadband. Additionally, issues like data privacy, cyber threats, and the spread of misinformation have become serious concerns. Even so, India’s digital rise highlights its flexibility and drive. With more than 850 million internet users and growing, the country now stands at a turning point where strong policy, inclusive connectivity, and responsible innovation will shape what comes next. Which flagship government programme is described as the main driver behind India’s expanding digital ecosystem?

    1. National Fibre Grid
    2. Tech Bharat Mission
    3. Digital India Programme
    4. India Online Network
    Show answer & explanation

    Answer: (C) Digital India Programme

    Explanation

    The passage names Digital India.

  91. Q91Open question

    Read the following passage and answer the question based on it. Passage: Over the past ten years, India’s shift toward a digital-first society has been remarkably transformative. What started as an effort to widen internet reach has steadily grown into one of the world’s largest digital networks. Driven by flagship government programmes like Digital India, the nation has seen rapid expansion in internet usage, digital transactions, and e-governance. A defining milestone was the introduction of Aadhaar, a biometric identity platform that made access to multiple public services safer and more efficient. Alongside this, the growth of the Unified Payments Interface (UPI) helped India bypass older banking limitations by enabling instant, affordable transfers across both cities and villages. Notably, the COVID-19 outbreak became an unforeseen accelerator. With restrictions and distancing norms in place, people increasingly depended on digital alternatives—telehealth, virtual learning, and work-from-home became necessities. This sudden reliance pushed institutions to strengthen infrastructure and adopt scalable tech. Yet, challenges remain. The digital gap between urban and rural India continues, with many villages still lacking stable connectivity while metros benefit from faster broadband. Additionally, issues like data privacy, cyber threats, and the spread of misinformation have become serious concerns. Even so, India’s digital rise highlights its flexibility and drive. With more than 850 million internet users and growing, the country now stands at a turning point where strong policy, inclusive connectivity, and responsible innovation will shape what comes next. According to the passage, Aadhaar mainly contributed to digital progress by:

    1. expanding mobile tower coverage
    2. introducing biometric elections
    3. launching a single payment gateway
    4. making public-service access secure and streamlined
    Show answer & explanation

    Answer: (D) making public-service access secure and streamlined

    Explanation

    Aadhaar made access to public services safer and more efficient.

  92. Q92Open question

    Read the following passage and answer the question based on it. Passage: Over the past ten years, India’s shift toward a digital-first society has been remarkably transformative. What started as an effort to widen internet reach has steadily grown into one of the world’s largest digital networks. Driven by flagship government programmes like Digital India, the nation has seen rapid expansion in internet usage, digital transactions, and e-governance. A defining milestone was the introduction of Aadhaar, a biometric identity platform that made access to multiple public services safer and more efficient. Alongside this, the growth of the Unified Payments Interface (UPI) helped India bypass older banking limitations by enabling instant, affordable transfers across both cities and villages. Notably, the COVID-19 outbreak became an unforeseen accelerator. With restrictions and distancing norms in place, people increasingly depended on digital alternatives—telehealth, virtual learning, and work-from-home became necessities. This sudden reliance pushed institutions to strengthen infrastructure and adopt scalable tech. Yet, challenges remain. The digital gap between urban and rural India continues, with many villages still lacking stable connectivity while metros benefit from faster broadband. Additionally, issues like data privacy, cyber threats, and the spread of misinformation have become serious concerns. Even so, India’s digital rise highlights its flexibility and drive. With more than 850 million internet users and growing, the country now stands at a turning point where strong policy, inclusive connectivity, and responsible innovation will shape what comes next. What unexpected event is shown as a major push behind faster digital adoption in India?

    1. Currency ban move
    2. New tax rollout
    3. COVID-19 outbreak
    4. Worldwide economic slowdown
    Show answer & explanation

    Answer: (C) COVID-19 outbreak

    Explanation

    COVID-19 was an unforeseen accelerator.

  93. Q93Open question

    Read the following passage and answer the question based on it. Passage: Over the past ten years, India’s shift toward a digital-first society has been remarkably transformative. What started as an effort to widen internet reach has steadily grown into one of the world’s largest digital networks. Driven by flagship government programmes like Digital India, the nation has seen rapid expansion in internet usage, digital transactions, and e-governance. A defining milestone was the introduction of Aadhaar, a biometric identity platform that made access to multiple public services safer and more efficient. Alongside this, the growth of the Unified Payments Interface (UPI) helped India bypass older banking limitations by enabling instant, affordable transfers across both cities and villages. Notably, the COVID-19 outbreak became an unforeseen accelerator. With restrictions and distancing norms in place, people increasingly depended on digital alternatives—telehealth, virtual learning, and work-from-home became necessities. This sudden reliance pushed institutions to strengthen infrastructure and adopt scalable tech. Yet, challenges remain. The digital gap between urban and rural India continues, with many villages still lacking stable connectivity while metros benefit from faster broadband. Additionally, issues like data privacy, cyber threats, and the spread of misinformation have become serious concerns. Even so, India’s digital rise highlights its flexibility and drive. With more than 850 million internet users and growing, the country now stands at a turning point where strong policy, inclusive connectivity, and responsible innovation will shape what comes next. Which ongoing issue does the passage highlight as a hurdle in India’s digital journey?

    1. control of internet by a single provider
    2. shortage of smartphone factories
    3. rural-urban digital gap and privacy risks
    4. too much foreign funding pressure
    Show answer & explanation

    Answer: (C) rural-urban digital gap and privacy risks

    Explanation

    The urban-rural gap plus privacy and cyber threats.

  94. Q94Open question

    Read the following passage and answer the question based on it. Passage: Over the past ten years, India’s shift toward a digital-first society has been remarkably transformative. What started as an effort to widen internet reach has steadily grown into one of the world’s largest digital networks. Driven by flagship government programmes like Digital India, the nation has seen rapid expansion in internet usage, digital transactions, and e-governance. A defining milestone was the introduction of Aadhaar, a biometric identity platform that made access to multiple public services safer and more efficient. Alongside this, the growth of the Unified Payments Interface (UPI) helped India bypass older banking limitations by enabling instant, affordable transfers across both cities and villages. Notably, the COVID-19 outbreak became an unforeseen accelerator. With restrictions and distancing norms in place, people increasingly depended on digital alternatives—telehealth, virtual learning, and work-from-home became necessities. This sudden reliance pushed institutions to strengthen infrastructure and adopt scalable tech. Yet, challenges remain. The digital gap between urban and rural India continues, with many villages still lacking stable connectivity while metros benefit from faster broadband. Additionally, issues like data privacy, cyber threats, and the spread of misinformation have become serious concerns. Even so, India’s digital rise highlights its flexibility and drive. With more than 850 million internet users and growing, the country now stands at a turning point where strong policy, inclusive connectivity, and responsible innovation will shape what comes next. What does the passage indicate as essential for shaping India’s digital future?

    1. launching more new apps
    2. increasing duties on digital products
    3. enforcing stronger content bans
    4. ensuring inclusive reach and responsible innovation
    Show answer & explanation

    Answer: (D) ensuring inclusive reach and responsible innovation

    Explanation

    Strong policy, inclusive connectivity and responsible innovation.

  95. Q95Open question

    Convert to indirect speech: Rita said, "I had submitted the assignment."

    1. Rita said that she submitted the assignment.
    2. Rita said that she has submitted the assignment.
    3. Rita said that she had submitted the assignment.
    4. Rita said that she had been submitting the assignment.
    Show answer & explanation

    Answer: (C) Rita said that she had submitted the assignment.

    Explanation

    Past perfect stays past perfect.

  96. Q96Open question

    Select the most appropriate synonym of the given word: ZENITH

    1. Outset
    2. Summit
    3. Abyss
    4. Groundwork
    Show answer & explanation

    Answer: (B) Summit

    Explanation

    Zenith means the highest point.

  97. Q97Open question

    Identify the misspelt word

    1. Ubiquitous
    2. Inconspicuous
    3. Fastidious
    4. Supercilous
    Show answer & explanation

    Answer: (D) Supercilous

    Explanation

    The correct spelling is 'Supercilious'.

  98. Q98Open question

    Select the correct option: Her conclusion was bold and diametrically _____ the earlier findings of the committee.

    1. at odds with
    2. along with
    3. in tune with
    4. aside from
    Show answer & explanation

    Answer: (A) at odds with

    Explanation

    'Diametrically at odds with' means completely opposite.

  99. Q99Open question

    Convert to direct speech: The professor remarked that the sun rises in the east.

    1. "The sun will rise in the east," remarked the professor.
    2. "The sun rises in the east," the professor remarked.
    3. "The sun had risen in the east," remarked the professor.
    4. "The sun is rising in the east," remarked the professor.
    Show answer & explanation

    Answer: (B) "The sun rises in the east," the professor remarked.

    Explanation

    Universal truths keep the present tense.

  100. Q100Open question

    Select the correct option: The reporter declined to ______ her informants even after intense questioning.

    1. hand out
    2. turn over
    3. give away
    4. back down
    Show answer & explanation

    Answer: (C) give away

    Explanation

    'Give away' means to reveal or betray.

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