Free practice questions/GMAT Focus Edition
GMAT Focus Edition — Ratios & Proportions
6 free practice questions with full explanations.
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Start freeQuestion 1
The ratio of boys to girls in a class is 5:4. If there are 45 students total, how many are boys?
- A) 20
- B) 24
- C) 25
- D) 27
Show answer & explanation
Correct answer: C) 25
The ratio parts sum to 5 + 4 = 9. Each part represents 45/9 = 5 students. Boys = 5 x 5 = 25.
Question 2
A recipe requires flour, sugar, and butter in the ratio 4:2:1. If 12 cups of flour are used, how many cups of sugar are needed?
- A) 3
- B) 4
- C) 5
- D) 6
Show answer & explanation
Correct answer: D) 6
The scale factor is 12/4 = 3. Sugar = 2 x 3 = 6 cups.
Question 3
If a:b = 3:5 and b:c = 10:7, what is a:c?
- A) 3:7
- B) 6:7
- C) 3:5
- D) 6:5
Show answer & explanation
Correct answer: B) 6:7
Scale a:b = 3:5 to 6:10 so that b matches the value 10 in b:c = 10:7. Now a:b:c = 6:10:7, so a:c = 6:7.
Question 4
Two numbers are in the ratio 3:4. If their sum is 84, what is the larger number?
- A) 36
- B) 42
- C) 44
- D) 48
Show answer & explanation
Correct answer: D) 48
The parts sum to 3 + 4 = 7, and each part equals 84/7 = 12. The larger number is 4 x 12 = 48.
Question 5
A map has a scale of 1 inch : 25 miles. If two cities are 7 inches apart on the map, what is the actual distance between them?
- A) 150
- B) 160
- C) 175
- D) 180
Show answer & explanation
Correct answer: C) 175
Actual distance = 7 x 25 = 175 miles.
Question 6
If x varies directly with y, and x = 15 when y = 5, what is x when y = 12?
- A) 24
- B) 30
- C) 33
- D) 36
Show answer & explanation
Correct answer: D) 36
The constant of variation is k = x/y = 15/5 = 3. When y = 12, x = 3 x 12 = 36.
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