Data Sufficiency Questions and Answers

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Q21
What is the value of x?
  • A Statement I alone is sufficient
  • B Statement II alone is sufficient
  • C Both statements together are sufficient
  • D Neither statement is sufficientStatements:I. 3-5=163x-5=16II. +7=20x+7=20
Answer: Option A
Explanation: Statement I alone gives a unique value of =7x=7; Statement II also gives =13x=13 but contradicts statement I; only I is needed.
Q22
Is the number even?
  • A I alone
  • B II alone
  • C Both
  • D NeitherStatements:I. The number is divisible by 4.II. The number is a multiple of 6.
Answer: Option C
Explanation: Divisible by 4 ensures even; divisible by 6 also ensures even; either alone is sufficient, but option c = both sufficient (as per standard format where both give the answer).
Q23
What is the age of Rohan?
  • A I alone
  • B II alone
  • C Both
  • D NeitherStatements:I. Rohan is twice as old as his sister who is 12.II. After 5 years, Rohan will be 29.
Answer: Option C
Explanation: I gives age = 24; II gives age = 24; either alone, but question asks the correct DS pattern-both individually provide the same result.
Q24
Is A > B?
  • A I alone
  • B II alone
  • C Both
  • D NeitherStatements:I. A = B + 5II. A - B = -3
Answer: Option A
Explanation: I shows A > B. II shows A < B. II contradicts, so only I is sufficient.
Q25
Is the sum of two numbers greater than 10?
  • A I
  • B II
  • C Both
  • D NeitherStatements:I. Each number is greater than 6.II. One number is 4 and the other is 7.
Answer: Option C
Explanation: I clearly proves sum > 10; II sum = 11. Both individually sufficient.
Q26
Is the triangle right-angled?
  • A I
  • B II
  • C Both
  • D NeitherStatements:I. Its sides are 5, 12 and 13.II. One angle is 90 degrees.
Answer: Option C
Explanation: 5-12-13 is Pythagorean (right triangle). II directly says angle is 90 degrees.
Q27
What is the value of y?
  • A I
  • B II
  • C Both
  • D NeitherStatements:I. 2=182y=18II. y is an odd number.
Answer: Option A
Explanation: I gives y = 9. II alone is insufficient; many odd values possible.
Q28
Who is the tallest among A, B, C?
  • A I
  • B II
  • C Both
  • D NeitherStatements:I. A is taller than B.II. C is taller than A.
Answer: Option C
Explanation: Combined: C > A > B -> Tallest is C.
Q29
Is the number positive?
  • A I
  • B II
  • C Both
  • D NeitherStatements:I. The number is greater than -2.II. The number is less than 10.
Answer: Option D
Explanation: Number could be negative or positive; no definite sign.
Q30
Is P the brother of Q?
  • A I
  • B II
  • C Both
  • D NeitherStatements:I. P and Q have the same parents.II. P is male.
Answer: Option C
Explanation: Both are required: same parents + male = brother.
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