EA Data Sufficiency 2 — Questions and Answers
Question 1: What is the average of five numbers? (1) The sum of the five numbers is 75. (2) Four of the five numbers are 12, 14, 16, and 18.
- 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): avg = 75/5 = 15; sufficient. Statement (2): 4 known numbers sum to 60; with the 5th unknown, average cannot be found — actually insufficient alone.
Question 2: Is the product of integers m and n positive? (1) m is positive. (2) n is negative.
- Statement (1) alone is sufficient.
- Statement (2) alone is sufficient.
- Both statements together are sufficient, but neither alone. (Correct answer)
- Neither statement is sufficient.
Correct answer: Both statements together are sufficient, but neither alone.
Neither statement alone determines the sign of mn; together: positive × negative = negative, so mn < 0; together sufficient.
Question 3: A train travels from A to B. How long does the trip take? (1) The distance is 240 miles. (2) The train's average speed is 80 mph.
- Statement (1) alone is sufficient.
- Statement (2) alone is sufficient.
- Both statements together are sufficient, but neither alone. (Correct answer)
- Neither statement is sufficient.
Correct answer: Both statements together are sufficient, but neither alone.
Time = distance / speed; neither distance nor speed alone gives time, but together: 240/80 = 3 hours.
Question 4: What is the value of 3x − 2y? (1) x = 5. (2) y = 4.
- Statement (1) alone is sufficient.
- Statement (2) alone is sufficient.
- Both statements together are sufficient, but neither alone. (Correct answer)
- Neither statement is sufficient.
Correct answer: Both statements together are sufficient, but neither alone.
With x=5 and y=4: 3(5)−2(4) = 15−8 = 7; both statements together are needed.
Question 5: How old is Sarah? (1) Sarah is twice as old as Tom. (2) Tom is 15 years old.
- 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.
Statement (1) gives a relationship; statement (2) gives Tom's age; together: Sarah = 2 × 15 = 30.
Question 6: Does a bag contain more red balls than blue balls? (1) The bag contains 12 red balls. (2) The bag contains 9 blue balls.
- Statement (1) alone is sufficient.
- Statement (2) alone is sufficient.
- Both statements together are sufficient, but neither alone. (Correct answer)
- Neither statement is sufficient.
Correct answer: Both statements together are sufficient, but neither alone.
Together: 12 red > 9 blue, so yes; neither statement alone provides comparison without knowing the other color count.
EA Data Sufficiency 2
What is the average of five numbers? (1) The sum of the five numbers is 75. (2) Four of the five numbers are 12, 14, 16, and 18.