Daily MCQ Paper — 23 April 2026 - IPM Gurukul

Daily MCQ Paper — 23 April 2026

📝 Online Quiz Engine

Daily Practice Sheet — 50 Questions

Take this quiz online with timer, mark-for-review, instant scorecard, percentile, and per-question explanations. CLAT scoring scheme: +1 / -0.25.

Daily MCQ Paper — 23 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 = 36 and 5x + 3y = 40, 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) 5 and 4   (B) 6 and 3   (C) -5 and -4   (D) 5 and -4

Q3. If |2x − 3| < 7, then x lies in the interval:

(A) (-2, 5)   (B) (0, 5)   (C) (-2, 6)   (D) (−7, 7)

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 35% above cost price and offers a 10% discount. His profit percentage is closest to:

(A) 21.5%   (B) 23.5%   (C) 19.5%   (D) 25%

Q6. A can complete a job in 11 days and B in 14 days. Working together, they finish it in approximately:

(A) 5.66 days   (B) 6.16 days   (C) 6.66 days   (D) 12.5 days

Q7. A train of length 120 m passes a pole in 10 seconds. How long will it take to pass a platform of length 150 m?

(A) 20.5 sec   (B) 22.5 sec   (C) 27.5 sec   (D) 45 sec

Q8. The compound interest on ₹14000 at 10% per annum for 2 years (compounded annually) is approximately:

(A) ₹2840   (B) ₹2940   (C) ₹3040   (D) ₹2800

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 7 numbers is 46. If a new number 56 is added, the new average becomes:

(A) 46.25   (B) 47.25   (C) 48.25   (D) 51

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 12 cm is:

(A) 67 cm²   (B) 72 cm²   (C) 77 cm²   (D) 144 cm²

Q13. The volume of a cylinder with radius 7 cm and height 12 cm (use π = 22/7) is:

(A) 1748 cm³   (B) 1848 cm³   (C) 1948 cm³   (D) 3696 cm³

Q14. The difference between CI and SI on ₹7000 at 10% per annum for 2 years is:

(A) ₹60   (B) ₹70   (C) ₹80   (D) ₹1400

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

(A) 37.5   (B) 75   (C) 150   (D) 7.5

Q16. A father is 3 times as old as his son. 6 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 22 is:

(A) 66   (B) 132   (C) 264   (D) 264

Q18. The sum of two numbers is 36 and their difference is 12. The larger number is:

(A) 23   (B) 24   (C) 25   (D) 36

Q19. In what ratio must milk costing ₹22 per litre be mixed with milk costing ₹32 per litre to get a mixture worth ₹27 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

Quantum computing promises to solve certain classes of problems exponentially faster than classical machines. Cryptography stands to be transformed: Shor’s algorithm, when implementable on fault-tolerant quantum hardware, would break RSA and elliptic-curve schemes that secure most digital communications today. NIST has already standardized post-quantum cryptographic algorithms designed to resist quantum attack. Yet practical, scalable quantum computers remain a decade or more away, and the qubit count required for cryptographically relevant Shor execution exceeds current capabilities by orders of magnitude.

Q21. The passage primarily discusses:

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

(A) slowly   (B) dramatically and at an increasing rate   (C) linearly   (D) negatively

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

(A) maintained   (B) completely changed   (C) ignored   (D) blocked

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

(A) small   (B) capable of growing   (C) fragile   (D) temporary

Q29. By next year, he ____ here for ten years.

(A) would have lived   (B) will have lived   (C) has lived   (D) lives

Q30. It is high time we ____ a decision.

(A) take   (B) took   (C) have taken   (D) taken

Q31. She is the ____ of the two sisters.

(A) taller   (B) tallest   (C) tall   (D) more taller

Q32. He acts ____ if he owns the place.

(A) like   (B) as   (C) such   (D) so

Q33. Best completion: “Quantum computers threaten current cryptography because ____.”

(A) they crash   (B) Shor’s algorithm can break RSA on fault-tolerant hardware   (C) they cost too much   (D) they are slow

Q34. Arrange P-Q-R-S.
P: NIST has standardized post-quantum algorithms.
Q: Quantum computing promises exponential speedups for some problems.
R: This threatens classical cryptography like RSA.
S: Yet practical scalable hardware remains a decade or more away.

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

Q35. Pick best continuation: “Practical quantum hardware capable of breaking RSA ____.”

(A) already exists   (B) remains years or decades away   (C) is illegal   (D) fits in a phone

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

Population (in lakh) of 5 cities: City1=12, City2=18, City3=8, City4=22, City5=15.

Q46. Total population:

(A) 70 lakh   (B) 75 lakh   (C) 80 lakh   (D) 85 lakh

Q47. Median city population:

(A) 12   (B) 15   (C) 18   (D) 22

Q48. Largest city’s population is what % of total?

(A) 25%   (B) 29.3%   (C) 33%   (D) 40%

Q49. Average city population:

(A) 13   (B) 14   (C) 15   (D) 16

Q50. If City3 grows by 25%, new population:

(A) 9   (B) 10   (C) 11   (D) 12