Daily MCQ Paper — 3 May 2026 - IPM Gurukul

Daily MCQ Paper — 3 May 2026

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Daily Practice Sheet — 50 Questions

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Daily MCQ Paper — 3 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 4x + 5y = 46 and 5x + 3y = 50, then the approximate value of (x + y) is:

(A) 10   (B) 11   (C) 12   (D) 13

Q2. The roots of the equation x² + (-8)x + 15 = 0 are:

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

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 12% and then decreased by 12%. The net percentage change is closest to:

(A) No change   (B) 1.44% decrease   (C) 1.44% increase   (D) 0% decrease

Q5. A shopkeeper marks a product 25% above cost price and offers a 15% discount. His profit percentage is closest to:

(A) 6.25%   (B) 8.25%   (C) 4.25%   (D) 10%

Q6. A can complete a job in 11 days and B in 12 days. Working together, they finish it in approximately:

(A) 5.24 days   (B) 5.74 days   (C) 6.24 days   (D) 11.5 days

Q7. A train of length 120 m passes a pole in 15 seconds. How long will it take to pass a platform of length 230 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. ₹700 is divided among A, B, C in the ratio 2:3:5. B’s share is:

(A) ₹140   (B) ₹210   (C) ₹350   (D) ₹233

Q10. The average of 5 numbers is 56. If a new number 66 is added, the new average becomes:

(A) 56.67   (B) 57.67   (C) 58.67   (D) 61

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 12 cm and height 8 cm is:

(A) 43 cm²   (B) 48 cm²   (C) 53 cm²   (D) 96 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 30% of 1000?

(A) 30   (B) 60   (C) 120   (D) 6

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) 5 years   (B) 9 years   (C) 13 years   (D) 17 years

Q17. The LCM of 14 and 18 is:

(A) 63   (B) 126   (C) 252   (D) 252

Q18. The sum of two numbers is 46 and their difference is 10. The larger number is:

(A) 27   (B) 28   (C) 29   (D) 46

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

India’s demographic dividend, long touted as an economic advantage, faces growing scrutiny. Female labour-force participation has actually declined over the past two decades, and the gap between job-seekers and job-creation is widening. Reforms in education, skilling, and labour codes have been announced but implementation remains uneven across states. Without dramatic improvement in productive employment generation — particularly in manufacturing and modern services — the demographic window may close before the dividend is realized.

Q21. The passage primarily discusses:

(A) the unrelated history of India demographics   (B) the central tensions and trade-offs around India demographics   (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 “scrutiny” most closely means:

(A) neglect   (B) critical examination   (C) praise   (D) silence

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

(A) minor   (B) striking   (C) quiet   (D) old

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

(A) loss   (B) benefit or return   (C) penalty   (D) fee

Q29. She is one of those teachers who ____ always punctual.

(A) is   (B) are   (C) was   (D) be

Q30. It is no use ____ over spilt milk.

(A) to cry   (B) crying   (C) cried   (D) cry

Q31. If I were you, I ____ accept the offer.

(A) will   (B) would   (C) shall   (D) could

Q32. He is junior ____ me.

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

Q33. Best completion: “India’s female labour-force participation ____.”

(A) has risen sharply   (B) has actually declined over two decades   (C) is at parity   (D) is irrelevant

Q34. Arrange P-Q-R-S.
P: India’s demographic dividend faces growing scrutiny.
Q: Female participation has actually declined.
R: Job creation lags job-seeker growth.
S: Without reform the demographic window may close.

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

Q35. Pick best continuation: “Demographic dividend success requires ____.”

(A) luck   (B) productive employment generation   (C) more births   (D) fewer schools

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

Daily call-volume at a service centre (in hundreds): Mon=15, Tue=18, Wed=20, Thu=16, Fri=22, Sat=12, Sun=8.

Q46. Total weekly calls:

(A) 10000   (B) 11000   (C) 11100   (D) 12100

Q47. Highest call day:

(A) Wed   (B) Thu   (C) Fri   (D) Sat

Q48. Average daily calls:

(A) 1400   (B) 1585   (C) 1675   (D) 1750

Q49. Sunday calls as % of Friday calls:

(A) 32%   (B) 36%   (C) 40%   (D) 45%

Q50. Combined weekend calls (Sat+Sun):

(A) 1500   (B) 2000   (C) 2200   (D) 2500