Puzzle and data sufficiency - Question Bank

1. Statement I: The area of a circle is 154 sq cm. Statement II: The radius of the circle is 7 cm.
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Neither statement alone nor together is sufficient
2. Statement I: X is an even number. Statement II: X is divisible by 4.
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Neither statement alone nor together is sufficient
3. Statement I: The sum of ages of A and B is 40. Statement II: A is 10 years older than B.
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Neither statement alone nor together is sufficient
4. Statement I: The length of a rectangle is 10 cm. Statement II: The width of the rectangle is 5 cm.
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Neither statement alone nor together is sufficient
5. Statement I: X is a multiple of 7. Statement II: X is a prime number.
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Neither statement alone nor together is sufficient
6. Statement I: The product of two numbers is 48. Statement II: One of the numbers is 6.
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Neither statement alone nor together is sufficient
7. Statement I: The train departed on time. Statement II: The train arrived at its destination after 5 hours.
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Neither statement alone nor together is sufficient
8. Statement I: X * Y = 36. Statement II: X + Y = 13.
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Neither statement alone nor together is sufficient
9. Statement I: The ratio of boys to girls in a class is 2:3. Statement II: The total number of students in the class is 30.
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Neither statement alone nor together is sufficient
10. Statement I: The sum of three consecutive numbers is divisible by 3. Statement II: The middle number is 5.
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Neither statement alone nor together is sufficient
11. Statement I: The speed of car A is 50 km/hr. Statement II: The speed of car B is 60 km/hr.
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Neither statement alone nor together is sufficient
12. Statement I: X is an odd number. Statement II: X is a prime number greater than 2.
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Neither statement alone nor together is sufficient
13. Statement I: The length of a rectangle is twice its width. Statement II: The area of the rectangle is 72 sq m.
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Neither statement alone nor together is sufficient
14. Statement I: X is a multiple of 4. Statement II: X is a multiple of 6.
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Neither statement alone nor together is sufficient
15. Statement I: The sum of the ages of a father and son is 50 years. Statement II: The father is 20 years older than the son.
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Neither statement alone nor together is sufficient
16. Statement I: The price of an article is P. Statement II: The discount is 10% of P.
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Neither statement alone nor together is sufficient
17. Statement I: X is a prime number. Statement II: X is a factor of 15.
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Neither statement alone nor together is sufficient
18. Statement I: The average of five numbers is 20. Statement II: The sum of the five numbers is 100.
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Neither statement alone nor together is sufficient
19. Statement I: X is a positive integer. Statement II: X is less than 5.
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Neither statement alone nor together is sufficient
20. Statement I: The perimeter of a rectangle is 20 cm. Statement II: The length of the rectangle is 6 cm.
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Neither statement alone nor together is sufficient
21. Statement I: The train travels at a constant speed. Statement II: The train covers 100 km in 2 hours.
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Neither statement alone nor together is sufficient
22. Statement I: X is a factor of 12. Statement II: X is a factor of 18.
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Neither statement alone nor together is sufficient
23. Statement I: The sum of two numbers is 50. Statement II: The difference between the two numbers is 10.
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Neither statement alone nor together is sufficient
24. There are 8 people sitting in a row. A is 3rd from the left. B is 5th from the right. How many people are between A and B?
A) 0
B) 1
C) 2
D) 3
25. P is taller than Q. R is shorter than S. Q is taller than S. Who is the shortest?
A) P
B) Q
C) R
D) S
26. If 1st January 2020 was a Wednesday, what day of the week was 1st January 2021?
A) Wednesday
B) Thursday
C) Friday
D) Saturday
27. A clock shows 3:00 PM. If the minute hand is pointing towards East, in which direction is the hour hand pointing?
A) North
B) South
C) East
D) West
28. In a certain code, 'TABLE' is written as 'UDCMF'. What is 'CHAIR' written as?
A) DJBJS
B) DKBIS
C) DJBIS
D) DKBJS
29. A family consists of a father, mother, and three sons. The sons are A, B, and C. A is the eldest. B is younger than A but older than C. C is the youngest. The father is to the left of the mother. Who is in the middle of the sons?
A) A
B) B
C) C
D) Cannot be determined
30. Seven people J, K, L, M, N, O, P are sitting in a line. K is to the immediate left of J. M is to the immediate right of N. O is between L and M. P is at the extreme right. J is to the immediate left of L. Who is in the middle?
A) J
B) K
C) L
D) N
31. Five books A, B, C, D, E are stacked one above another. A is immediately above C. E is at the bottom. B is immediately below A. D is immediately above B. Which book is at the top?
A) A
B) B
C) C
D) D
32. Statement I: X > Y. Statement II: X + Y = 5.
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Neither statement alone nor together is sufficient
33. Statement I: The price of a book was increased by 10%. Statement II: The new price of the book is $110.
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Neither statement alone nor together is sufficient
34. Statement I: The sum of three consecutive integers is 15. Statement II: The first integer is 4.
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Neither statement alone nor together is sufficient
35. Statement I: X is a multiple of 3. Statement II: X is a multiple of 5.
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Neither statement alone nor together is sufficient
36. Statement I: The area of a square is 16 sq cm. Statement II: The perimeter of the square is 16 cm.
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Neither statement alone nor together is sufficient
37. Statement I: The speed of a train is 60 km/hr. Statement II: The train travels for 2 hours.
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Neither statement alone nor together is sufficient
38. Statement I: X is an even number. Statement II: X is a prime number.
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Neither statement alone nor together is sufficient
39. Statement I: The product of two numbers is 24. Statement II: The sum of the two numbers is 10.
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Neither statement alone nor together is sufficient
40. Statement I: X + Y = 10. Statement II: X - Y = 2.
A) Statement I alone is sufficient
B) Statement II alone is sufficient
C) Both statements together are sufficient
D) Neither statement alone nor together is sufficient
41. Which of the following statements is sufficient to determine the value of X?
A) Statement I only
B) Statement II only
C) Both statements together
D) Neither statement alone nor together
42. In a class, there are 15 boys and 10 girls. What is the ratio of boys to girls?
A) 3:2
B) 2:3
C) 5:2
D) 2:5
43. If the day before yesterday was Saturday, what day will the day after tomorrow be?
A) Wednesday
B) Thursday
C) Friday
D) Saturday
44. A man walks 5 km north, then 4 km east, then 3 km south, then 2 km west. How far is he from his starting point?
A) sqrt(5) km
B) sqrt(10) km
C) sqrt(13) km
D) sqrt(20) km
45. In a code, if 'GO' is written as 'IQ', what is 'COME' written as?
A) DPNF
B) DPNE
C) EPNF
D) EPNE
46. There are 5 people: P, Q, R, S, T. P is to the left of Q. T is to the right of R. Q is to the left of T. S is between Q and T. Who is at the extreme right?
A) P
B) Q
C) R
D) T
47. A, B, C, D, and E are five friends. A is taller than B but shorter than C. D is shorter than E but taller than A. Who is the tallest?
A) A
B) C
C) D
D) E
48. Five people A, B, C, D, and E are sitting in a row. B is to the right of A. D is to the left of E. C is between D and E. B is to the left of C. Who is in the middle?
A) A
B) B
C) C
D) D
49. If 'A' is the sister of 'B', 'C' is the brother of 'A', and 'D' is the father of 'B' and 'C', then how is 'A' related to 'C'?
A) Sister
B) Brother
C) Cousin
D) Aunt
50. Six friends are sitting in a circle facing the center. Priya is to the immediate left of Anu. Riya is to the immediate right of Anu. Amit is sitting between Priya and Sonu. What is the position of Amit relative to Riya?
A) Immediately to the left
B) Immediately to the right
C) Two positions to the left
D) Two positions to the right
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