EA Data Sufficiency 1 — Questions and Answers
Question 1: Is integer n divisible by 6? (1) n is divisible by 3. (2) n is divisible by 2.
- Statement (1) alone is sufficient.
- Statement (2) alone is sufficient.
- Both statements together are sufficient, but neither alone. (Correct answer)
- Each statement alone is sufficient.
Correct answer: Both statements together are sufficient, but neither alone.
Divisibility by 6 requires both divisibility by 2 and 3; neither statement alone guarantees this, but together they do.
Question 2: What is the value of x + y? (1) x − y = 4. (2) 2x + 2y = 20.
- Statement (1) alone is sufficient.
- Statement (2) alone is sufficient. (Correct answer)
- Both statements together are sufficient, but neither alone.
- Neither statement is sufficient.
Correct answer: Statement (2) alone is sufficient.
Statement (2): 2(x + y) = 20, so x + y = 10; sufficient alone.
Question 3: Is quadrilateral ABCD a rectangle? (1) All four angles are equal. (2) All four sides are equal.
- Statement (1) alone is sufficient. (Correct answer)
- Statement (2) alone is sufficient.
- Both statements together are sufficient, but neither alone.
- Each statement alone is sufficient.
Correct answer: Statement (1) alone is sufficient.
Four equal angles in a quadrilateral means each is 90°, which defines a rectangle; statement (1) is sufficient alone.
Question 4: A store sold 200 items. What fraction were defective? (1) 40 items were defective. (2) 160 items were non-defective.
- Statement (1) alone is sufficient.
- Statement (2) alone is sufficient.
- Both statements together are sufficient, but neither alone.
- Each statement alone is sufficient. (Correct answer)
Correct answer: Each statement alone is sufficient.
Statement (1): 40/200 = 1/5; Statement (2): 40 defective (200−160) → 40/200 = 1/5; each alone is sufficient.
Question 5: What is the area of circle O? (1) The diameter of circle O is 10. (2) The circumference of circle O is 10Ï€.
- Statement (1) alone is sufficient.
- Statement (2) alone is sufficient.
- Both statements together are sufficient, but neither alone.
- Each statement alone is sufficient. (Correct answer)
Correct answer: Each statement alone is sufficient.
Both the diameter (r=5, area=25Ï€) and circumference (r=5, area=25Ï€) independently determine the area.
Question 6: Is x > 0? (1) x² = 16. (2) x³ = 64.
- Statement (1) alone is sufficient.
- Statement (2) alone is sufficient. (Correct answer)
- Both statements together are sufficient, but neither alone.
- Neither statement is sufficient.
Correct answer: Statement (2) alone is sufficient.
Statement (1): x could be 4 or −4; not sufficient. Statement (2): x³ = 64 means x = 4 only (positive); sufficient.
EA Data Sufficiency 1
Is integer n divisible by 6? (1) n is divisible by 3. (2) n is divisible by 2.