SCAT Quantitative Comparisons: Fractions and Decimals 3

Question 1

Column A: (2/3) × 0.9 | Column B: 0.6 — Which quantity is greater?

Accepted Answer

The two quantities are equal

Answer

(2/3) × 0.9 = 1.8/3 = 0.6, which equals Column B.

Question 2

Column A: 11/12 | Column B: 8/9 — Which quantity is greater?

Accepted Answer

Column A is greater

Answer

With common denominator 36: 11/12 = 33/36 and 8/9 = 32/36, so Column A is greater.

Question 3

x > 0. Column A: x/4 | Column B: x × 0.25 — Which quantity is greater?

Accepted Answer

The two quantities are equal

Answer

Since 1/4 = 0.25, both columns represent the same expression for any positive x.

Question 4

Column A: 0.5 ÷ 0.25 | Column B: 2.5 — Which quantity is greater?

Accepted Answer

Column B is greater

Answer

0.5 ÷ 0.25 = 2.0, which is less than 2.5, so Column B is greater.

Question 5

Column A: 5/8 + 3/4 | Column B: 1 1/2 — Which quantity is greater?

Accepted Answer

Column B is greater

Answer

5/8 + 3/4 = 5/8 + 6/8 = 11/8 = 1.375, which is less than 1.5, so Column B is greater.

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