Data Insights: Data Sufficiency Flashcards

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

Answer: Statement (1) alone is sufficient

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

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

Answer: Statement (1) alone is sufficient

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

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

Answer: Statement (1) alone is sufficient

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

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

Answer: Each alone is sufficient

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

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

Answer: Both together but neither alone

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

Is w a multiple of 10? (1) w is a multiple of 2 (2) w is a multiple of 5

Answer: Both together but neither alone

Being a multiple of both 2 and 5 means being a multiple of 10; neither alone suffices.

Was the survey response rate above 50%? (1) 240 of 400 people responded (2) More than half the invitations were declined

Answer: Each alone is sufficient

240/400 = 60% (above 50%), and 'more than half declined' means below 50%—each alone answers definitively.