Daily MCQ Paper — 25 April 2026 - IPM Gurukul

Daily MCQ Paper — 25 April 2026

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Daily Practice Sheet — 50 Questions

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Daily MCQ Paper — 25 April 2026

50 Questions · 60 minutes · +1 correct, −0.25 wrong

Section breakdown: Quantitative Ability (20) · Verbal Ability (15) · Logical Reasoning (10) · Data Interpretation (5)

Quantitative Ability

Q1. If 5x + 5y = 38 and 5x + 3y = 42, then the approximate value of (x + y) is:

(A) 7   (B) 8   (C) 9   (D) 10

Q2. The roots of the equation x² + (-9)x + 18 = 0 are:

(A) 3 and 6   (B) 4 and 5   (C) -3 and -6   (D) 3 and -6

Q3. If |2x − 3| < 5, then x lies in the interval:

(A) (-1, 4)   (B) (0, 4)   (C) (-1, 5)   (D) (−5, 5)

Q4. A number is increased by 16% and then decreased by 16%. The net percentage change is closest to:

(A) No change   (B) 2.56% decrease   (C) 2.56% increase   (D) 0% decrease

Q5. A shopkeeper marks a product 25% above cost price and offers a 20% discount. His profit percentage is closest to:

(A) 0%   (B) 2%   (C) -2%   (D) 5%

Q6. A can complete a job in 13 days and B in 12 days. Working together, they finish it in approximately:

(A) 5.74 days   (B) 6.24 days   (C) 6.74 days   (D) 12.5 days

Q7. A train of length 160 m passes a pole in 20 seconds. How long will it take to pass a platform of length 190 m?

(A) 41.75 sec   (B) 43.75 sec   (C) 48.75 sec   (D) 87.5 sec

Q8. The compound interest on ₹10000 at 8% per annum for 2 years (compounded annually) is approximately:

(A) ₹1564   (B) ₹1664   (C) ₹1764   (D) ₹1600

Q9. ₹900 is divided among A, B, C in the ratio 2:3:5. B’s share is:

(A) ₹180   (B) ₹270   (C) ₹450   (D) ₹300

Q10. The average of 5 numbers is 48. If a new number 58 is added, the new average becomes:

(A) 48.67   (B) 49.67   (C) 50.67   (D) 53

Q11. A fair die is rolled once. What is the probability of getting a prime number?

(A) 1/2   (B) 1/3   (C) 2/3   (D) 1/6

Q12. The area of a triangle with base 16 cm and height 8 cm is:

(A) 59 cm²   (B) 64 cm²   (C) 69 cm²   (D) 128 cm²

Q13. The volume of a cylinder with radius 7 cm and height 10 cm (use π = 22/7) is:

(A) 1440 cm³   (B) 1540 cm³   (C) 1640 cm³   (D) 3080 cm³

Q14. The difference between CI and SI on ₹5000 at 10% per annum for 2 years is:

(A) ₹40   (B) ₹50   (C) ₹60   (D) ₹1000

Q15. What is 20% of 35% of 1000?

(A) 35   (B) 70   (C) 140   (D) 7

Q16. A father is 3 times as old as his son. 4 years ago, he was 5 times as old as his son. The present age of the son is approximately:

(A) 6 years   (B) 10 years   (C) 14 years   (D) 18 years

Q17. The LCM of 16 and 18 is:

(A) 72   (B) 144   (C) 288   (D) 288

Q18. The sum of two numbers is 38 and their difference is 10. The larger number is:

(A) 23   (B) 24   (C) 25   (D) 38

Q19. In what ratio must milk costing ₹20 per litre be mixed with milk costing ₹30 per litre to get a mixture worth ₹25 per litre?

(A) 1:1   (B) 2:1   (C) 1:2   (D) 3:2

Q20. In how many ways can the letters of the word LEADER be arranged?

(A) 120   (B) 360   (C) 720   (D) 60

Verbal Ability

Cities are responsible for over 70% of global CO₂ emissions, despite occupying only about 3% of land surface. Urban density, paradoxically, can be both a problem and a solution: dense cities consume more energy per square kilometre but less per capita than sprawling suburbs. Policy levers — congestion pricing, transit-oriented development, building energy codes — have proved effective where political will exists. London’s congestion charge cut traffic by 30% within months. Yet replicating such successes in fast-growing cities of the Global South poses very different governance challenges.

Q21. The passage primarily discusses:

(A) the unrelated history of urban climate   (B) the central tensions and trade-offs around urban climate   (C) an autobiography   (D) a fictional story

Q22. Which of the following best captures the author’s tone?

(A) dismissive   (B) balanced and analytical   (C) sarcastic   (D) poetic

Q23. Which statement is most consistent with the passage?

(A) The issue has only one side.   (B) Trade-offs and competing perspectives exist.   (C) All experts agree.   (D) The topic is irrelevant.

Q24. The passage suggests that policymakers should:

(A) ignore the issue   (B) weigh competing considerations carefully   (C) ban all activity   (D) do nothing

Q25. A reader could most reasonably infer that:

(A) the topic is fully resolved   (B) further debate and evidence will shape the outcome   (C) the topic has no consequences   (D) the author is uninformed

Q26. In the passage above, the word “paradoxically” most closely means:

(A) expectedly   (B) contrary to expectation   (C) quietly   (D) randomly

Q27. In the passage above, the word “levers” most closely means:

(A) weights   (B) tools or means   (C) metals   (D) passwords

Q28. In the passage above, the word “replicate” most closely means:

(A) destroy   (B) reproduce   (C) ignore   (D) compress

Q29. My friend ____ I went to the park.

(A) and   (B) or   (C) with   (D) but

Q30. The bus ____ left when we reached.

(A) had already   (B) has already   (C) already   (D) was already

Q31. She has been ill ____ Monday.

(A) since   (B) for   (C) from   (D) by

Q32. The quality of the products ____ improving.

(A) are   (B) is   (C) have   (D) were

Q33. Best completion: “Dense cities consume less energy per capita because ____.”

(A) they are colder   (B) of shared infrastructure and shorter trips   (C) of fewer people   (D) of regulation

Q34. Arrange P-Q-R-S.
P: Yet cities can also be part of the solution.
Q: Cities account for over 70% of CO₂ emissions.
R: Density enables efficient infrastructure.
S: Policy levers like congestion pricing have proved effective.

(A) Q-P-R-S   (B) Q-R-P-S   (C) P-Q-R-S   (D) S-Q-R-P

Q35. Pick best continuation: “London’s congestion charge ____.”

(A) increased traffic   (B) cut traffic by about 30% within months   (C) was abandoned   (D) closed the city

Logical Reasoning

Q36. In a row of 10 students facing north, Rahul is 4th from the left and Priya is 7th from the left. How many students are between them?

(A) 1   (B) 2   (C) 3   (D) 4

Q37. If A is the brother of B, B is the sister of C, and C is the father of D, how is A related to D?

(A) Father   (B) Uncle   (C) Brother   (D) Cousin

Q38. All cats are mammals. All mammals are animals. Therefore:

(A) No cats are animals   (B) All cats are animals   (C) Some animals are not cats   (D) Some cats are not mammals

Q39. If MONDAY is coded as NPOEBZ, then FRIDAY is coded as:

(A) GSJEBZ   (B) GTKEBZ   (C) GSJEBA   (D) GSJDAZ

Q40. In a queue, A is 5th from the front and 8th from the back. How many people are in the queue?

(A) 10   (B) 11   (C) 12   (D) 13

Q41. Pointing to a man, a woman said, ‘He is the son of my mother’s only son.’ How is the man related to the woman?

(A) Brother   (B) Son   (C) Nephew   (D) Cousin

Q42. If 1=5, 2=10, 3=15, then 5=?

(A) 20   (B) 25   (C) 30   (D) 35

Q43. Find the odd one out: 4, 9, 16, 23, 25

(A) 4   (B) 9   (C) 23   (D) 25

Q44. Statements: All pens are pencils. Some pencils are erasers. Conclusion?

(A) All erasers are pens   (B) Some pens are erasers   (C) Some pencils are pens   (D) No conclusion definitely

Q45. In a certain code, BIRD = 2-9-18-4. What is CAT?

(A) 3-1-20   (B) 3-2-20   (C) 2-1-20   (D) 3-1-21

Data Interpretation

Stock prices (₹) on 5 trading days: Day1=200, Day2=220, Day3=210, Day4=240, Day5=252.

Q46. % change from Day1 to Day5:

(A) 20%   (B) 24%   (C) 26%   (D) 30%

Q47. Highest single-day % gain occurred on:

(A) Day2   (B) Day3   (C) Day4   (D) Day5

Q48. Average closing price:

(A) 220   (B) 224.4   (C) 228   (D) 232

Q49. Number of days price increased over previous:

(A) 2   (B) 3   (C) 4   (D) 5

Q50. Day-3 price is what % of Day-1?

(A) 100%   (B) 105%   (C) 110%   (D) 115%