EDPT Sufficiency Analysis 2 — Questions and Answers
Question 1: Is the 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 is sufficient (Correct answer)
- Either statement alone is sufficient
Correct answer: Both statements together are sufficient, but neither alone is sufficient
Divisibility by 6 requires both divisibility by 2 AND by 3, so both statements together are needed.
Question 2: What is the value of x + y? (1) x = 5. (2) x − y = 3.
- Statement 1 alone is sufficient
- Statement 2 alone is sufficient
- Both statements together are sufficient, but neither alone is sufficient (Correct answer)
- Neither statement alone nor both together are sufficient
Correct answer: Both statements together are sufficient, but neither alone is sufficient
From statement 1, x = 5; combined with x − y = 3 gives y = 2, so x + y = 7.
Question 3: A box contains only red and blue marbles. How many red marbles are in the box? (1) There are 20 marbles total. (2) The ratio of red to blue marbles is 3:2.
- Statement 1 alone is sufficient
- Statement 2 alone is sufficient
- Both statements together are sufficient, but neither alone is sufficient (Correct answer)
- Either statement alone is sufficient
Correct answer: Both statements together are sufficient, but neither alone is sufficient
With 20 total and a 3:2 ratio, red = 12; neither fact alone gives a definite count.
Question 4: Is rectangle ABCD a square? (1) AB = BC. (2) The diagonal of ABCD is 10.
- Statement 1 alone is sufficient (Correct answer)
- Statement 2 alone is sufficient
- Both statements together are sufficient, but neither alone is sufficient
- Neither statement alone nor both together are sufficient
Correct answer: Statement 1 alone is sufficient
In a rectangle, if two adjacent sides are equal (AB = BC), all sides are equal, making it a square.
Question 5: Did the store's revenue increase from January to February? (1) Revenue in January was $10,000. (2) Revenue in February was $11,500.
- Statement 1 alone is sufficient
- Statement 2 alone is sufficient
- Both statements together are sufficient, but neither alone is sufficient (Correct answer)
- Either statement alone is sufficient
Correct answer: Both statements together are sufficient, but neither alone is sufficient
You need both months' revenues to compare and determine if there was an increase.
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 is sufficient
- Either statement alone is sufficient
Correct answer: Statement 2 alone is sufficient
x³ = 64 means x = 4, which is positive; x² = 16 gives x = ±4, insufficient alone.
Question 7: How many hours did Maria work last week? (1) Maria earned $480 last week. (2) Maria earns $12 per hour.
- Statement 1 alone is sufficient
- Statement 2 alone is sufficient
- Both statements together are sufficient, but neither alone is sufficient (Correct answer)
- Neither statement alone nor both together are sufficient
Correct answer: Both statements together are sufficient, but neither alone is sufficient
Dividing total earnings ($480) by hourly rate ($12) gives 40 hours; neither piece alone is sufficient.
EDPT Sufficiency Analysis 2
Is the integer N divisible by 6? (1) N is divisible by 3. (2) N is divisible by 2.