Daily Practice Sheet — 50 Questions
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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