Data Sufficiency Questions and Answers

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Q11
What is the value of z? Statement 1: z + 5 = 12. Statement 2: 2z = 14.
  • A Statement 1 alone is sufficient
  • B Statement 2 alone is sufficient
  • C Both statements together are sufficient
  • D Each statement alone is sufficient
Answer: Option D
Explanation: Each statement alone gives z = 7, so both are independently sufficient.
Q12
Is quadrilateral ABCD a square? Statement 1: All sides are equal. Statement 2: All angles are 90 degrees.
  • A Statement 1 alone is sufficient
  • B Statement 2 alone is sufficient
  • C Both statements together are sufficient
  • D Each statement alone is sufficient
Answer: Option C
Explanation: Both statements together confirm it's a square (equal sides + right angles).
Q13
What is the probability of drawing a red ball? Statement 1: There are 3 red balls. Statement 2: Total balls are 10.
  • A Statement 1 alone is sufficient
  • B Statement 2 alone is sufficient
  • C Both statements together are sufficient
  • D Neither statement is sufficient
Answer: Option C
Explanation: Both statements needed: Probability = 3/10 = 0.3
Q14
Is r/s > 1? Statement 1: r > s. Statement 2: s > 0.
  • A Statement 1 alone is sufficient
  • B Statement 2 alone is sufficient
  • C Both statements together are sufficient
  • D Neither statement is sufficient
Answer: Option C
Explanation: Both statements needed: r > s and s > 0 ensures r/s > 1.
Q15
What is the distance traveled? Statement 1: Speed = 60 km/h. Statement 2: Time = 2 hours.
  • A Statement 1 alone is sufficient
  • B Statement 2 alone is sufficient
  • C Both statements together are sufficient
  • D Each statement alone is sufficient
Answer: Option C
Explanation: Both statements needed: Distance = Speed × Time = 60 × 2 = 120 km.
Q16
Is the number n even? Statement 1: n is divisible by 4. Statement 2: n is divisible by 5.
  • A Statement 1 alone is sufficient
  • B Statement 2 alone is sufficient
  • C Both statements together are sufficient
  • D Each statement alone is sufficient
Answer: Option A
Explanation: Statement 1 alone is sufficient as divisible by 4 implies even. Statement 2: divisible by 5 could be odd or even.
Q17
What is the value of a × b? Statement 1: a = 7. Statement 2: b = 0.
  • A Statement 1 alone is sufficient
  • B Statement 2 alone is sufficient
  • C Both statements together are sufficient
  • D Each statement alone is sufficient
Answer: Option B
Explanation: Statement 2 alone is sufficient as any number × 0 = 0.
Q18
What is the cost per apple? Statement 1: 5 apples cost $2.50. Statement 2: 10 apples cost $5.00.
  • A Statement 1 alone is sufficient
  • B Statement 2 alone is sufficient
  • C Both statements together are sufficient
  • D Each statement alone is sufficient
Answer: Option D
Explanation: Each statement alone gives cost per apple = $0.50, so both are independently sufficient.
Q19
Is point P inside the circle? Statement 1: Distance from center < radius. Statement 2: P has coordinates (2,3).
  • A Statement 1 alone is sufficient
  • B Statement 2 alone is sufficient
  • C Both statements together are sufficient
  • D Neither statement is sufficient
Answer: Option A
Explanation: Statement 1 alone is sufficient as it defines being inside circle. Statement 2 gives location but no circle info.
Q20
What is the value of x²? Statement 1: x = 5. Statement 2: x = -5.
  • A Statement 1 alone is sufficient
  • B Statement 2 alone is sufficient
  • C Both statements together are sufficient
  • D Each statement alone is sufficient
Answer: Option D
Explanation: Each statement alone gives x² = 25, so both are independently sufficient.

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