Daily MCQ Paper — 20 April 2026 - IPM Gurukul

Daily MCQ Paper — 20 April 2026

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Daily Practice Sheet — 50 Questions

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Daily MCQ Paper — 20 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 3x + 5y = 33 and 5x + 4y = 37, then the approximate value of (x + y) is:

(A) 7   (B) 8   (C) 9   (D) 10

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 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 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 13 days and B in 15 days. Working together, they finish it in approximately:

(A) 6.46 days   (B) 6.96 days   (C) 7.46 days   (D) 14.0 days

Q7. A train of length 160 m passes a pole in 10 seconds. How long will it take to pass a platform of length 210 m?

(A) 21.125 sec   (B) 23.125 sec   (C) 28.125 sec   (D) 46.25 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. ₹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 8 numbers is 43. If a new number 53 is added, the new average becomes:

(A) 43.11   (B) 44.11   (C) 45.11   (D) 48

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 14 cm is:

(A) 107 cm²   (B) 112 cm²   (C) 117 cm²   (D) 224 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 33 and their difference is 13. The larger number is:

(A) 22   (B) 23   (C) 24   (D) 33

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 Indian textile industry employs over 45 million people and contributes nearly 2.3% of GDP. Despite this scale, productivity per worker lags behind Vietnam and Bangladesh by a wide margin. Analysts attribute the gap to fragmented small-unit ownership, restrictive labour laws, and uneven access to credit. Recent policy initiatives — including the PLI (Production-Linked Incentive) scheme and consolidation of state-level laws — aim to attract larger investments. Whether these reforms can shift India’s competitive position before the next decade remains an open question, particularly as automation begins to alter the global apparel cost curve.

Q21. The passage primarily discusses:

(A) the unrelated history of Indian textiles   (B) the central tensions and trade-offs around Indian textiles   (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 “fragmented” most closely means:

(A) unified   (B) broken into pieces   (C) strong   (D) liquid

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

(A) criticize   (B) ascribe   (C) reject   (D) decorate

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

(A) fair   (B) not consistent   (C) peaceful   (D) new

Q29. If he ____ harder, he would pass.

(A) studies   (B) studied   (C) had studied   (D) study

Q30. She is junior ____ him.

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

Q31. The teacher, along with the students, ____ on the trip.

(A) are   (B) is   (C) were   (D) be

Q32. He ____ the work by tomorrow.

(A) finishes   (B) will have finished   (C) finished   (D) is finishing

Q33. Best completion: “Indian textile productivity lags Vietnam’s because ____.”

(A) of fragmented small-unit ownership and labour rigidities   (B) of better infrastructure   (C) Indians work harder   (D) wages are higher

Q34. Arrange P-Q-R-S.
P: PLI schemes aim to attract investment.
Q: Indian textiles employ over 45 million people.
R: Yet productivity per worker lags peers.
S: Reform impact remains an open question.

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

Q35. Pick best continuation: “Despite the PLI scheme, India’s textile sector ____.”

(A) has become world-leading   (B) still faces deep structural challenges   (C) has shut down entirely   (D) exports only to Africa

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

Marks scored by 5 students in 4 subjects (out of 100 each):
A: 85, 78, 92, 70
B: 80, 88, 75, 90
C: 70, 75, 80, 85
D: 90, 92, 88, 80
E: 65, 70, 72, 78

Q46. Highest total scorer is:

(A) A   (B) B   (C) C   (D) D

Q47. Average score of E is:

(A) 68   (B) 70   (C) 71.25   (D) 75

Q48. Subject 3 highest scorer is:

(A) A   (B) B   (C) D   (D) E

Q49. Class average in Subject 2 is:

(A) 75.6   (B) 78.2   (C) 80.6   (D) 82.5

Q50. Difference between A’s and E’s totals:

(A) 35   (B) 40   (C) 45   (D) 50