SCAT Quantitative Comparisons: Fractions and Decimals 5

Question 1

Column A: 5/7 | Column B: 0.71 — Which quantity is greater?

Accepted Answer

Column A is greater

Answer

5/7 ≈ 0.7143, which is slightly greater than 0.71, so Column A is greater.

Question 2

Column A: 1.5^2 | Column B: 2 1/4 — Which quantity is greater?

Accepted Answer

The two quantities are equal

Answer

1.5^2 = 2.25 and 2 1/4 = 9/4 = 2.25, so both quantities are equal.

Question 3

Column A: 2/3 + 5/6 | Column B: 1 3/4 — Which quantity is greater?

Accepted Answer

Column B is greater

Answer

2/3 + 5/6 = 4/6 + 5/6 = 9/6 = 3/2 = 1.5, which is less than 1.75, so Column B is greater.

Question 4

p is a positive number and q is a negative number. Column A: p/q | Column B: q/p — Which quantity is greater?

Accepted Answer

The relationship cannot be determined

Answer

Both p/q and q/p are negative, but which is greater depends on the magnitudes of p and q, so the relationship cannot be determined.

Question 5

Column A: (1/3) × (1/4) | Column B: 1/16 — Which quantity is greater?

Accepted Answer

Column A is greater

Answer

(1/3) × (1/4) = 1/12, and 1/12 > 1/16 because a smaller denominator means a larger fraction.

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