Data Insights: Data Sufficiency Flashcards

Is the integer p odd? (1) p + 1 is even (2) p is divisible by 3

Answer: Statement (1) alone is sufficient

If p+1 is even then p is odd, so (1) alone is sufficient; (2) allows both odd and even.

What is the area of the rectangle? (1) The length is 8 (2) The perimeter is 28

Answer: Both together but neither alone

Length plus perimeter gives width 6, so area = 8×6 = 48; neither alone suffices.

Is z between 0 and 1? (1) z^2 < z (2) z < 1

Answer: Statement (1) alone is sufficient

z^2 < z holds only for 0 < z < 1, so (1) alone is sufficient.

How much did the company profit? (1) Revenue was $500,000 (2) Costs were 70% of revenue

Answer: Both together but neither alone

Profit = revenue minus costs, requiring both the revenue figure and the cost percentage.

Is a + b even? (1) a is odd (2) b is odd

Answer: Both together but neither alone

Two odd numbers sum to an even number; one odd value alone leaves the parity unknown.

What is the value of the ratio x:y? (1) 2x = 3y (2) x + y = 25

Answer: Statement (1) alone is sufficient

From 2x=3y the ratio x:y = 3:2 directly, so (1) alone is sufficient.

Did the temperature exceed 30 degrees today? (1) It was hotter than yesterday (2) Yesterday it reached 32 degrees

Answer: Both together but neither alone

Hotter than a 32-degree yesterday means today exceeded 30, needing both statements.