GMAT Data Insights: Data Sufficiency 5

Question 1

Is x^2 greater than x? (1) x > 1 (2) x is an integer

Accepted Answer

Statement (1) alone is sufficient

Answer

For x>1, squaring always increases the value, so (1) alone is sufficient.

Question 2

What is the value of y? (1) y is the only even prime number (2) y < 10

Accepted Answer

Statement (1) alone is sufficient

Answer

The only even prime is 2, so (1) alone fixes y=2.

Question 3

Is the discount more than 20%? (1) The item dropped from $50 to $38 (2) The savings were $12

Accepted Answer

Statement (1) alone is sufficient

Answer

A $50-to-$38 drop is a 24% discount, sufficient from (1) alone; (2) lacks the original price.

Question 4

Is triangle ABC a right triangle? (1) The sides are 3, 4, and 5 (2) One angle is 90 degrees

Accepted Answer

Each alone is sufficient

Answer

A 3-4-5 triangle satisfies the Pythagorean theorem, and a 90-degree angle defines a right triangle—each alone is sufficient.

Question 5

How many hours did the trip take? (1) The distance was 150 miles (2) The average speed was 50 mph

Accepted Answer

Both together but neither alone

Answer

Time = distance ÷ speed = 150/50 = 3 hours, requiring both statements.

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