Daily MCQ Paper — 29 April 2026 - IPM Gurukul

Daily MCQ Paper — 29 April 2026

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Daily Practice Sheet — 50 Questions

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Daily MCQ Paper — 29 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 = 42 and 5x + 3y = 46, then the approximate value of (x + y) is:

(A) 10   (B) 11   (C) 12   (D) 13

Q2. The roots of the equation x² + (-7)x + 12 = 0 are:

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

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 14% and then decreased by 14%. The net percentage change is closest to:

(A) No change   (B) 1.96% decrease   (C) 1.96% increase   (D) 0% decrease

Q5. A shopkeeper marks a product 25% above cost price and offers a 10% discount. His profit percentage is closest to:

(A) 12.5%   (B) 14.5%   (C) 10.5%   (D) 15%

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

(A) 5.50 days   (B) 6.00 days   (C) 6.50 days   (D) 12.0 days

Q7. A train of length 140 m passes a pole in 10 seconds. How long will it take to pass a platform of length 150 m?

(A) 18.7143 sec   (B) 20.7143 sec   (C) 25.7143 sec   (D) 41.4286 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. ₹800 is divided among A, B, C in the ratio 2:3:5. B’s share is:

(A) ₹160   (B) ₹240   (C) ₹400   (D) ₹266

Q10. The average of 5 numbers is 52. If a new number 62 is added, the new average becomes:

(A) 52.67   (B) 53.67   (C) 54.67   (D) 57

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 14 cm and height 8 cm is:

(A) 51 cm²   (B) 56 cm²   (C) 61 cm²   (D) 112 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 25% of 1000?

(A) 25   (B) 50   (C) 100   (D) 5

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

Q17. The LCM of 12 and 18 is:

(A) 18   (B) 36   (C) 72   (D) 216

Q18. The sum of two numbers is 42 and their difference is 10. The larger number is:

(A) 25   (B) 26   (C) 27   (D) 42

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

The semiconductor industry has become a flashpoint of geopolitical competition. Taiwan’s TSMC alone produces over 90% of the world’s most advanced chips, creating strategic vulnerability concerns. The US CHIPS Act and Europe’s analogue have committed tens of billions to onshore fabrication. However, building a leading-edge fab takes 4-5 years and the industry remains highly cyclical. Critics question whether subsidies will simply duplicate capacity rather than expand frontier capabilities, while supporters argue strategic autonomy justifies the cost.

Q21. The passage primarily discusses:

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

(A) calm zone   (B) point of sudden conflict   (C) celebration   (D) compromise

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

(A) random   (B) planned and important   (C) weak   (D) local

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

(A) centre   (B) edge of advance   (C) old   (D) secret

Q29. ____ his illness, he completed the exam.

(A) Despite   (B) Although   (C) Even   (D) In spite

Q30. The number of cars ____ rising.

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

Q31. He ____ to the gym every day.

(A) go   (B) goes   (C) going   (D) gone

Q32. She has ____ the work.

(A) did   (B) done   (C) do   (D) doing

Q33. Best completion: “TSMC’s dominance creates ____.”

(A) abundance   (B) strategic vulnerability concerns   (C) quick price drops   (D) more jobs only

Q34. Arrange P-Q-R-S.
P: The US CHIPS Act and EU equivalent committed billions to onshore fabs.
Q: Taiwan’s TSMC produces over 90% of advanced chips.
R: This concentration raises strategic concerns.
S: Critics question whether subsidies merely duplicate capacity.

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

Q35. Pick best continuation: “Building a leading-edge fab ____.”

(A) takes a few months   (B) takes 4-5 years   (C) is impossible   (D) is free

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

Pie-chart shares of monthly household budget: Rent 30%, Food 20%, Utilities 10%, Transport 15%, Savings 15%, Misc 10%. Monthly income = ₹50,000.

Q46. Amount spent on Rent:

(A) ₹12,500   (B) ₹15,000   (C) ₹17,500   (D) ₹20,000

Q47. Total of Food + Transport:

(A) ₹15,000   (B) ₹17,500   (C) ₹20,000   (D) ₹22,500

Q48. If Savings doubles, what % of income remains for other needs?

(A) 55%   (B) 60%   (C) 65%   (D) 70%

Q49. Misc as fraction of Rent:

(A) 1/2   (B) 1/3   (C) 1/4   (D) 1/5

Q50. Annual Utilities spend:

(A) ₹50,000   (B) ₹60,000   (C) ₹65,000   (D) ₹70,000