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Fractions/Ratios/Decimals - Free MCQ Practice Test with solutions, GMAT


MCQ Practice Test & Solutions: Test: Fractions/Ratios/Decimals (10 Questions)

You can prepare effectively for GMAT Practice Questions for GMAT with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Fractions/Ratios/Decimals". These 10 questions have been designed by the experts with the latest curriculum of GMAT 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 20 minutes
  • - Number of Questions: 10

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Test: Fractions/Ratios/Decimals - Question 1

On a certain farm the ratio of horses to cows is 7:3. If the farm were to sell 15 horses and buy 15 cows, the ratio of horses to cows would then be 13:7. After the transaction, how many more horses than cows would the farm own?

Test: Fractions/Ratios/Decimals - Question 2

On a certain farm the ratio of horses to cows is 7:3. If the farm were to sell 15 horses and buy 15 cows, the ratio of horses to cows would then be 13:7. After the transaction, how many more horses than cows would the farm own?

Detailed Solution: Question 2

Step 1: Assign variables
Let the number of horses = 7k
Let the number of cows = 3k


Step 2: Apply the transaction
After selling 15 horses and buying 15 cows:

  • Horses = 7k - 15

  • Cows = 3k + 15

Given new ratio = 13 : 7

So,
(7k - 15) / (3k + 15) = 13 / 7


Step 3: Cross multiply
7 × (7k - 15) = 13 × (3k + 15)

49k - 105 = 39k + 195


Step 4: Simplify
49k - 39k = 195 + 105
10k = 300
k = 30


Step 5: Find numbers after transaction
Horses = 7k - 15 = 7(30) - 15 = 210 - 15 = 195
Cows = 3k + 15 = 3(30) + 15 = 90 + 15 = 105


Step 6: Difference
195 - 105 = 90

Test: Fractions/Ratios/Decimals - Question 3

At a pet store, there are four dogs for every three cats, and there are five times as many cats as hamsters. What is the ratio of dogs to hamsters ?

Test: Fractions/Ratios/Decimals - Question 4

A straight pipe 1 yard in length was marked off in fourths and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?

Test: Fractions/Ratios/Decimals - Question 5

Upon winning the lottery, John spent 1/3 of his winnings on a home and 1/4 of the remaining amount on a car. After these purchases, he had $200,000 left. How much money did John win in the lottery?

Test: Fractions/Ratios/Decimals - Question 6

At a private school, the student to teacher ratio is 6 to 1. If the number of teachers were to increase by 50%, while the number of students remains the same, what would be the new student to teacher ratio?

Test: Fractions/Ratios/Decimals - Question 7

Which of the following fractions can be written as the difference of reciprocals of two consecutive integers?

Test: Fractions/Ratios/Decimals - Question 8

In class A, the ratio of boys to girls is 2 : 3. In class B the ratio of boys to girls is 4 : 5. If the ratio of boys to girls in both classes put together is 3 : 4, what is the ratio of number of girls in class A to number of girls in class B?

Test: Fractions/Ratios/Decimals - Question 9

In what ratio should a mixture of milk and water in the ratio of 3:4 be mixed with another mixture of milk and water in the ratio 5:2 so that the resultant mixture contains equal quantities of milk and water?

Test: Fractions/Ratios/Decimals - Question 10

An investment manager is considering 3 stocks, P, Q, and R for her portfolio. For the cost of 1 share of P, she could buy 3 shares of Q or 5 shares of R. If she invested an amount equal to the cost of 4500 shares of Q but purchased equal numbers of shares of P and R and no shares of Q, how many shares of R did she buy?

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