EDPT Sufficiency Analysis 5 — Questions and Answers
Question 1: Is the value of expression 2x + 3 greater than 10? (1) x > 3. (2) x < 5.
- Statement 1 alone is sufficient
- 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)
Correct answer: Neither statement alone nor both together are sufficient
If x > 3, then 2x + 3 > 9, which could be 10 or more; if x < 5, then 2x + 3 < 13, which could be 10 or less; together, x ∈ (3,5) gives 2x+3 ∈ (9,13), which doesn't confirm > 10.
Question 2: A company produces widgets. Did production increase last quarter? (1) Production this quarter is 5,200 units. (2) Production increased by 4% from last quarter to this quarter.
- 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
A 4% increase directly tells us production went up from last quarter; statement 1 alone gives no comparison point.
Question 3: What is the perimeter of rectangle R? (1) The length of R is twice its width. (2) The area of R is 50 square units.
- 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
Let width = w; then length = 2w and area = 2w² = 50, so w = 5 and perimeter = 2(5+10) = 30.
Question 4: Is integer j even? (1) j + 4 is even. (2) j/2 is an integer.
- Statement 1 alone is sufficient
- Statement 2 alone is sufficient
- Both statements together are sufficient, but neither alone is sufficient
- Either statement alone is sufficient (Correct answer)
Correct answer: Either statement alone is sufficient
Both statements independently confirm j is even: j+4 even ↔ j even, and j/2 integer means j is divisible by 2.
Question 5: In a database table, are there any duplicate records? (1) The table contains 1,000 rows. (2) The primary key column has 998 distinct values.
- 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
1,000 rows but only 998 distinct primary key values means at least 2 records share a key, confirming duplicates.
Question 6: A student scored an average of 85 on three tests. What was the score on the third test? (1) The first test score was 80. (2) The second test score was 90.
- 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
Total = 85 × 3 = 255; knowing scores 1 and 2 (80 + 90 = 170) gives test 3 = 255 − 170 = 85.
Question 7: Is point P inside circle C? (1) The radius of circle C is 7 units. (2) The distance from the center of C to point P is 6 units.
- 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
Since the distance (6) is less than the radius (7), point P lies inside the circle; both facts are required.
EDPT Sufficiency Analysis 5
Is the value of expression 2x + 3 greater than 10? (1) x > 3. (2) x < 5.