Logical Puzzles, Cubes & Data Sufficiency
Q1. In a group of 100 people, 60 like tea, 50 like coffee, and 30 like both. How many like neither?
Correct Answer: C. 20
Q2. In a survey of 200 students: 120 read novels, 80 read magazines, and 50 read both. How many read at least one?
Correct Answer: B. 150
Q3. A cube of side 4 cm is painted on all faces and cut into 64 cubes of side 1 cm. How many small cubes have paint on exactly one face?
Correct Answer: C. 24
Q4. A cube of side 5 cm is painted and cut into 125 small cubes of side 1 cm. How many small cubes have no paint?
Correct Answer: C. 27
Q5. Six friends sit around a circular table facing the centre. P is between Q and R. S is opposite P. T is to the immediate right of S. Who is to the immediate left of S?
Correct Answer: D. U (the sixth person)
Q6. Six persons live on six floors numbered 1 to 6 (with 1 being the ground floor). A lives above C. B lives on floor 5. D lives just below B. E lives on the topmost floor. F lives on floor 2. Who lives on floor 1?
Correct Answer: C. C
Q7. Seven friends meet on different days from Monday to Sunday. P meets on Tuesday. Q meets two days after P. R meets on the day before P. S meets on Sunday. T meets on Saturday. On which day does Q meet?
Correct Answer: C. Thursday
Q8. Question: Is the integer n divisible by 6?
Statement 1: n is divisible by 2.
Statement 2: n is divisible by 3.
Which statement(s) is/are sufficient?
Statement 1: n is divisible by 2.
Statement 2: n is divisible by 3.
Which statement(s) is/are sufficient?
Correct Answer: C. Both together
Q9. A standard die shows 4 on top and 6 on the front. What is on the bottom?
Correct Answer: C. 3
Q10. Three views of the same cube show common faces. The cube’s faces show numbers 1-6, with opposite faces summing to 7. If 2 is on top in one view, which face is at the bottom?
Correct Answer: B. 5
Q11. In a survey of 100 people, 60 read English newspapers, 40 read Hindi, and 20 read both. How many read only English?
Correct Answer: B. 40
Q12. In a class of 80 students, 50 play football, 35 play cricket, and 15 play both. How many play only cricket?
Correct Answer: B. 20
Q13. Question: What is John’s salary?
Statement 1: John earns Rs. 5000 more than Peter.
Statement 2: Peter earns Rs. 20000 per month.
Which statement(s) is/are sufficient?
Statement 1: John earns Rs. 5000 more than Peter.
Statement 2: Peter earns Rs. 20000 per month.
Which statement(s) is/are sufficient?
Correct Answer: C. Both together
Q14. Five buildings P, Q, R, S, T are in a row. P is east of Q. R is east of S. T is between Q and R. Q is west of S. The order from west to east is:
Correct Answer: B. Q, P, T, S, R
Q15. Five trains A, B, C, D, E arrive at different times. A arrives before B but after C. D arrives last. E arrives first. Which arrives just before D?
Correct Answer: B. B
Q16. Six houses are in a row. House A is west of B. C is to the east of B. D is to the west of A. E is between A and B. F is at the eastmost end. The order from west to east is:
Correct Answer: A. D, A, E, B, C, F
Q17. Question: How many sisters does Ramesh have?
Statement 1: Ramesh has 3 brothers.
Statement 2: Ramesh’s mother has 5 children.
Which statement(s) is/are sufficient?
Statement 1: Ramesh has 3 brothers.
Statement 2: Ramesh’s mother has 5 children.
Which statement(s) is/are sufficient?
Correct Answer: C. Both together
Q18. In a Venn diagram, “Triangle” represents “girls”, “Square” represents “students”, and “Circle” represents “athletes”. The region common to all three represents:
Correct Answer: B. Female student athletes
Q19. A standard die shows 1 on top, 2 on front, and 3 on the right side. What is opposite to the front face?
Correct Answer: B. 5
Q20. In a class of 50 students, 30 study Mathematics, 25 study Physics, 20 study Chemistry, 10 study all three, 12 study Math+Physics, 8 study Physics+Chemistry, and 11 study Math+Chemistry. How many study at least one?
Correct Answer: D. 54
Q21. Eight persons live in a building of 8 floors (with 1 being the lowest). A is on floor 4. B is two floors above A. C is just below A. D is on floor 1. E is on floor 8. F is one floor below E. Where is G if G lives on the remaining floor between A and B?
Correct Answer: A. Floor 5
