EA Data Sufficiency 2

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.

Accepted Answer

Each statement alone is sufficient.

Answer

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.

Accepted Answer

Both statements together are sufficient, but neither alone.

Answer

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.

Accepted Answer

Both statements together are sufficient, but neither alone.

Answer

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.

Accepted Answer

Both statements together are sufficient, but neither alone.

Answer

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.

Accepted Answer

Both statements together are sufficient, but neither alone.

Answer

Statement (1) gives a relationship; statement (2) gives Tom's age; together: Sarah = 2 × 15 = 30.

EA - Executive Assesment Practice Test

EA - Executive Assesment Practice Test

EA Data Sufficiency 2