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Free practice questions/GMAT Focus Edition

GMAT Focus Edition — Fractions, Decimals & Percents

6 free practice questions with full explanations.

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Question 1

A shirt originally priced at $80 is discounted by 25%, and then the sale price is discounted by an additional 10%. What is the final price?

  • A) $50
  • B) $52
  • C) $54
  • D) $56
Show answer & explanation

Correct answer: C) $54

After the first discount: $80 x 0.75 = $60. After the second discount: $60 x 0.90 = $54.

Question 2

If 3/8 of a number is 45, what is 5/8 of the same number?

  • A) 60
  • B) 65
  • C) 70
  • D) 75
Show answer & explanation

Correct answer: D) 75

The number equals 45 / (3/8) = 45 x 8/3 = 120. Then 5/8 of 120 = 75.

Question 3

A price increased from $40 to $50. What is the percent increase?

  • A) 10%
  • B) 20%
  • C) 25%
  • D) 30%
Show answer & explanation

Correct answer: C) 25%

Percent increase = (50 - 40) / 40 = 10/40 = 25%.

Question 4

Which of the following fractions is the largest?

  • A) 5/9
  • B) 4/7
  • C) 7/12
  • D) 11/18
Show answer & explanation

Correct answer: D) 11/18

Converting to decimals: 5/9 ≈ 0.556, 4/7 ≈ 0.571, 7/12 ≈ 0.583, 11/18 ≈ 0.611, 3/5 = 0.600. The largest is 11/18 at approximately 0.611.

Question 5

0.375 expressed as a fraction in lowest terms is:

  • A) 1/3
  • B) 3/8
  • C) 3/7
  • D) 5/12
Show answer & explanation

Correct answer: B) 3/8

0.375 = 375/1000. Dividing numerator and denominator by 125 gives 3/8.

Question 6

A solution is 40% acid by volume. If 5 liters of water are added to 20 liters of the solution, what is the new percent concentration of acid?

  • A) 28%
  • B) 30%
  • C) 32%
  • D) 34%
Show answer & explanation

Correct answer: C) 32%

The amount of acid is 0.40 x 20 = 8 liters, unchanged by adding water. The new total volume is 20 + 5 = 25 liters. New concentration = 8/25 = 32%.

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