Daily MCQ Paper — 30 April 2026 - IPM Gurukul

Daily MCQ Paper — 30 April 2026

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Daily Practice Sheet — 50 Questions

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Daily MCQ Paper — 30 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 4x + 5y = 43 and 5x + 4y = 47, then the approximate value of (x + y) is:

(A) 9   (B) 10   (C) 11   (D) 12

Q2. The roots of the equation x² + (-9)x + 20 = 0 are:

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

Q3. If |2x − 3| < 6, then x lies in the interval:

(A) (-1.5, 4.5)   (B) (0, 4.5)   (C) (-1.5, 5.5)   (D) (−6, 6)

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 30% above cost price and offers a 15% discount. His profit percentage is closest to:

(A) 10.5%   (B) 12.5%   (C) 8.5%   (D) 15%

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

(A) 6.00 days   (B) 6.50 days   (C) 7.00 days   (D) 13.0 days

Q7. A train of length 160 m passes a pole in 15 seconds. How long will it take to pass a platform of length 170 m?

(A) 28.9375 sec   (B) 30.9375 sec   (C) 35.9375 sec   (D) 61.875 sec

Q8. The compound interest on ₹12000 at 9% per annum for 2 years (compounded annually) is approximately:

(A) ₹2157   (B) ₹2257   (C) ₹2357   (D) ₹2160

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 6 numbers is 53. If a new number 63 is added, the new average becomes:

(A) 53.43   (B) 54.43   (C) 55.43   (D) 58

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 10 cm is:

(A) 75 cm²   (B) 80 cm²   (C) 85 cm²   (D) 160 cm²

Q13. The volume of a cylinder with radius 7 cm and height 11 cm (use π = 22/7) is:

(A) 1594 cm³   (B) 1694 cm³   (C) 1794 cm³   (D) 3388 cm³

Q14. The difference between CI and SI on ₹6000 at 10% per annum for 2 years is:

(A) ₹50   (B) ₹60   (C) ₹70   (D) ₹1200

Q15. What is 25% of 30% of 1000?

(A) 37.5   (B) 75   (C) 150   (D) 7.5

Q16. A father is 4 times as old as his son. 5 years ago, he was 6 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 20 is:

(A) 70   (B) 140   (C) 280   (D) 280

Q18. The sum of two numbers is 43 and their difference is 11. The larger number is:

(A) 26   (B) 27   (C) 28   (D) 43

Q19. In what ratio must milk costing ₹21 per litre be mixed with milk costing ₹31 per litre to get a mixture worth ₹26 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

Mental health awareness has grown sharply, particularly post-pandemic. Rates of reported anxiety and depression in young adults have nearly doubled in many surveys since 2018. Tele-therapy platforms have expanded access dramatically, though concerns about quality, data privacy, and the medicalization of normal distress have followed. India’s mental health workforce — estimated at less than one psychiatrist per 100,000 population — remains chronically inadequate. Public-private partnerships and digital interventions are now being piloted as scalable supplements to traditional in-person care.

Q21. The passage primarily discusses:

(A) the unrelated history of mental health   (B) the central tensions and trade-offs around mental health   (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 “medicalization” most closely means:

(A) denial of illness   (B) treating normal as medical   (C) privacy   (D) cure

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

(A) fragile   (B) capable of being expanded   (C) old   (D) emotional

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

(A) briefly   (B) persistently over time   (C) loudly   (D) randomly

Q29. Five hundred rupees ____ a small sum.

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

Q30. Either of the answers ____ correct.

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

Q31. The team ____ celebrating its victory.

(A) are   (B) is   (C) were   (D) be

Q32. He insisted ____ paying the bill.

(A) on   (B) at   (C) in   (D) for

Q33. Best completion: “Tele-therapy expanded access but raised concerns about ____.”

(A) cost only   (B) quality, privacy, and over-medicalization   (C) weather   (D) celebrities

Q34. Arrange P-Q-R-S.
P: Tele-therapy has expanded access dramatically.
Q: Anxiety and depression rates have nearly doubled in young adults.
R: India’s mental-health workforce is chronically inadequate.
S: Digital interventions are now being piloted as supplements.

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

Q35. Pick best continuation: “India’s psychiatrist density is ____.”

(A) high   (B) less than one per 100,000   (C) ideal   (D) unmeasured

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

Class of 40 students: 60% are girls. Among girls, 50% play sport. Among boys, 75% play sport.

Q46. Number of girls:

(A) 20   (B) 22   (C) 24   (D) 26

Q47. Number of boys:

(A) 14   (B) 16   (C) 18   (D) 20

Q48. Girls who play sport:

(A) 10   (B) 12   (C) 14   (D) 16

Q49. Boys who play sport:

(A) 10   (B) 12   (C) 14   (D) 16

Q50. Total students who play sport:

(A) 20   (B) 22   (C) 24   (D) 26