SCAT Quantitative Comparisons: Fractions and Decimals 2 — Questions and Answers
Question 1: Column A: 3/8 + 5/8 | Column B: 1.25 — Which quantity is greater?
- Column A is greater
- Column B is greater (Correct answer)
- The two quantities are equal
- The relationship cannot be determined
Correct answer: Column B is greater
3/8 + 5/8 = 8/8 = 1, which is less than 1.25, so Column B is greater.
Question 2: Column A: 0.4 × 2.5 | Column B: 1 — Which quantity is greater?
- Column A is greater
- Column B is greater
- The two quantities are equal (Correct answer)
- The relationship cannot be determined
Correct answer: The two quantities are equal
0.4 × 2.5 = 1.0, which is exactly equal to Column B.
Question 3: Column A: 7/9 | Column B: 5/6 — Which quantity is greater?
- Column A is greater
- Column B is greater (Correct answer)
- The two quantities are equal
- The relationship cannot be determined
Correct answer: Column B is greater
Using common denominator 18: 7/9 = 14/18 and 5/6 = 15/18, so Column B is greater.
Question 4: Column A: 1 1/4 − 3/4 | Column B: 0.5 — Which quantity is greater?
- Column A is greater
- Column B is greater
- The two quantities are equal (Correct answer)
- The relationship cannot be determined
Correct answer: The two quantities are equal
1 1/4 = 5/4, and 5/4 − 3/4 = 2/4 = 1/2 = 0.5, which equals Column B.
Question 5: Column A: (1/2)^3 | Column B: 1/6 — Which quantity is greater?
- Column A is greater
- Column B is greater (Correct answer)
- The two quantities are equal
- The relationship cannot be determined
Correct answer: Column B is greater
(1/2)^3 = 1/8 = 0.125, which is less than 1/6 ≈ 0.167, so Column B is greater.
Question 6: n is a positive integer. Column A: n/5 | Column B: n/7 — Which quantity is greater?
- Column A is greater (Correct answer)
- Column B is greater
- The two quantities are equal
- The relationship cannot be determined
Correct answer: Column A is greater
For any positive n, dividing by the smaller number 5 yields a larger result than dividing by 7, so Column A is always greater.
Question 7: Column A: 0.333... (3 repeating) | Column B: 1/3 — Which quantity is greater?
- Column A is greater
- Column B is greater
- The two quantities are equal (Correct answer)
- The relationship cannot be determined
Correct answer: The two quantities are equal
The repeating decimal 0.333... is exactly equal to 1/3 by definition.
SCAT Quantitative Comparisons: Fractions and Decimals 2
Column A: 3/8 + 5/8 | Column B: 1.25 — Which quantity is greater?