EDPT Sufficiency Analysis 3 — Questions and Answers
Question 1: Is triangle PQR a right triangle? (1) PQ = QR. (2) PQ² + QR² = PR².
- 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
Statement 2 satisfies the Pythagorean theorem, confirming a right angle at Q; statement 1 only tells us it is isosceles.
Question 2: A computer program runs in T seconds. Is T < 5? (1) T is greater than 3. (2) T is less than 4.
- 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
If T < 4, then T is definitely less than 5; statement 1 alone cannot confirm T < 5.
Question 3: What is the area of circle C? (1) The diameter of C is 10. (2) The circumference of C is 10π.
- 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 the diameter and circumference independently determine the radius, so either alone gives the area.
Question 4: In a class of students, what percentage passed the exam? (1) 18 students passed. (2) 6 students failed.
- 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
Knowing both the number who passed (18) and failed (6) gives total = 24 and percentage = 75%.
Question 5: Is the product of integers m and n negative? (1) m is negative. (2) n is negative.
- 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 both m and n are negative, their product is positive, not negative; both statements together are not sufficient.
Question 6: What is the average of five numbers? (1) The sum of the five numbers is 75. (2) Four of the numbers each equal 14.
- Statement 1 alone is sufficient (Correct answer)
- Statement 2 alone is sufficient
- Both statements together are sufficient, but neither alone is sufficient
- Either statement alone is sufficient
Correct answer: Statement 1 alone is sufficient
Average = sum ÷ count; with sum = 75 and count = 5, the average is 15.
Question 7: Did train A arrive before train B? (1) Train A arrived at 2:45 PM. (2) Train B was scheduled for 3:00 PM but arrived 20 minutes late.
- 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
Train A at 2:45 PM and train B at 3:20 PM (20 min late) together confirm A arrived first.
EDPT Sufficiency Analysis 3
Is triangle PQR a right triangle? (1) PQ = QR. (2) PQ² + QR² = PR².