GMAT Data Insights: Data Sufficiency 4

Question 1

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

Accepted Answer

Statement (1) alone is sufficient

Answer

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

Question 2

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

Accepted Answer

Both together but neither alone

Answer

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

Question 3

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

Accepted Answer

Statement (1) alone is sufficient

Answer

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

Question 4

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

Accepted Answer

Both together but neither alone

Answer

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

Question 5

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

Accepted Answer

Both together but neither alone

Answer

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

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