Daily MCQ Paper — 2 May 2026 - IPM Gurukul

Daily MCQ Paper — 2 May 2026

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Daily Practice Sheet — 50 Questions

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Daily MCQ Paper — 2 May 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 3x + 5y = 45 and 5x + 4y = 49, then the approximate value of (x + y) is:

(A) 10   (B) 11   (C) 12   (D) 13

Q2. The roots of the equation x² + (-10)x + 24 = 0 are:

(A) 6 and 4   (B) 7 and 3   (C) -6 and -4   (D) 6 and -4

Q3. If |2x − 3| < 8, then x lies in the interval:

(A) (-2.5, 5.5)   (B) (0, 5.5)   (C) (-2.5, 6.5)   (D) (−8, 8)

Q4. A number is increased by 10% and then decreased by 10%. The net percentage change is closest to:

(A) No change   (B) 1% decrease   (C) 1% increase   (D) 0% decrease

Q5. A shopkeeper marks a product 40% above cost price and offers a 10% discount. His profit percentage is closest to:

(A) 26%   (B) 28%   (C) 24%   (D) 30%

Q6. A can complete a job in 10 days and B in 15 days. Working together, they finish it in approximately:

(A) 5.50 days   (B) 6.00 days   (C) 6.50 days   (D) 12.5 days

Q7. A train of length 100 m passes a pole in 10 seconds. How long will it take to pass a platform of length 210 m?

(A) 29 sec   (B) 31 sec   (C) 36 sec   (D) 62 sec

Q8. The compound interest on ₹16000 at 11% per annum for 2 years (compounded annually) is approximately:

(A) ₹3614   (B) ₹3714   (C) ₹3814   (D) ₹3520

Q9. ₹600 is divided among A, B, C in the ratio 2:3:5. B’s share is:

(A) ₹120   (B) ₹180   (C) ₹300   (D) ₹200

Q10. The average of 8 numbers is 55. If a new number 65 is added, the new average becomes:

(A) 55.11   (B) 56.11   (C) 57.11   (D) 60

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 10 cm and height 14 cm is:

(A) 65 cm²   (B) 70 cm²   (C) 75 cm²   (D) 140 cm²

Q13. The volume of a cylinder with radius 7 cm and height 13 cm (use π = 22/7) is:

(A) 1902 cm³   (B) 2002 cm³   (C) 2102 cm³   (D) 4004 cm³

Q14. The difference between CI and SI on ₹8000 at 10% per annum for 2 years is:

(A) ₹70   (B) ₹80   (C) ₹90   (D) ₹1600

Q15. What is 35% of 25% of 1000?

(A) 43.75   (B) 87.5   (C) 175   (D) 8.75

Q16. A father is 4 times as old as his son. 7 years ago, he was 6 times as old as his son. The present age of the son is approximately:

(A) 4 years   (B) 8 years   (C) 12 years   (D) 16 years

Q17. The LCM of 12 and 24 is:

(A) 12   (B) 24   (C) 48   (D) 288

Q18. The sum of two numbers is 45 and their difference is 13. The larger number is:

(A) 28   (B) 29   (C) 30   (D) 45

Q19. In what ratio must milk costing ₹23 per litre be mixed with milk costing ₹33 per litre to get a mixture worth ₹28 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

The shift to electric vehicles is accelerating, with global EV sales surpassing 14 million in 2023. China leads in both production and adoption, while European markets are reshaping under stringent emissions rules. The US trajectory has been more uneven, complicated by infrastructure gaps and political controversy. Battery supply chains — concentrated in China for processing, in Africa and Latin America for raw materials — have emerged as strategic concerns. The pace of charging-infrastructure rollout, more than vehicle availability, may now be the binding constraint.

Q21. The passage primarily discusses:

(A) the unrelated history of electric vehicles   (B) the central tensions and trade-offs around electric vehicles   (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 “uneven” most closely means:

(A) smooth   (B) not consistent   (C) even   (D) old

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

(A) loose   (B) most limiting   (C) ornamental   (D) random

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

(A) destroying   (B) fundamentally changing   (C) colouring   (D) forgetting

Q29. Each of you ____ to do this work.

(A) have   (B) has   (C) is having   (D) were

Q30. The jury ____ given its verdict.

(A) have   (B) has   (C) were   (D) be

Q31. He prefers walking ____ running.

(A) than   (B) to   (C) over   (D) from

Q32. Neither of the answers ____ correct.

(A) are   (B) is   (C) were   (D) be

Q33. Best completion: “China leads the EV market in ____.”

(A) only consumption   (B) both production and adoption   (C) neither   (D) only exports

Q34. Arrange P-Q-R-S.
P: China leads EV production and adoption.
Q: Global EV sales surpassed 14 million in 2023.
R: Charging-infrastructure rollout may be the binding constraint.
S: Battery supply chains are strategically concentrated.

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

Q35. Pick best continuation: “The binding constraint on EV scaling is increasingly ____.”

(A) vehicle availability   (B) charging-infrastructure rollout   (C) fuel taxes   (D) colour

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

Company profit (₹ crore) over 6 years: 2019=50, 2020=42, 2021=55, 2022=66, 2023=72, 2024=80.

Q46. Year of largest absolute profit increase:

(A) 2021   (B) 2022   (C) 2023   (D) 2024

Q47. Total profit over 6 years:

(A) 355   (B) 365   (C) 375   (D) 385

Q48. Average annual profit:

(A) 55   (B) 58   (C) 60.83   (D) 63

Q49. CAGR (approx) from 2019 to 2024:

(A) 8%   (B) 10%   (C) 12%   (D) 14%

Q50. 2020 profit was what % of 2019?

(A) 80%   (B) 84%   (C) 88%   (D) 90%