Decimals & Fractions Quiz: Quantitative Aptitude Practice
10 timed decimals and fractions questions for RRB NTPC and SSC. Comparing fractions, recurring decimals, terminating decimals and word problems.
Decimals & Fractions Quiz: Quantitative Aptitude Practice
Tip: use keys 1-4 to answer, Enter for next.
Answers to the starter quiz
Spoilers! These are the Starter quiz’s answers. Easy, Medium, Hard and Mixed rounds show their own answers when you finish.
Which is the largest of these fractions: 3/5, 5/8, 7/12, 4/7?
- 5/8
- 3/5
- 7/12
- 4/7
Answer: 5/8. As decimals: 3/5 = 0.6, 5/8 = 0.625, 7/12 ~ 0.583, 4/7 ~ 0.571. So 5/8 is the largest.
Express the recurring decimal 0.363636... as a fraction in its lowest terms.
- 9/25
- 36/100
- 4/11
- 3/11
Answer: 4/11. A pure recurring decimal is the repeating block over as many 9s: 36/99 = 4/11.
What is the value of 0.2 × 0.02 × 0.002?
- 0.00008
- 0.0000008
- 0.008
- 0.000008
Answer: 0.000008. 2 × 2 × 2 = 8, and the numbers have 1 + 2 + 3 = 6 decimal places in all, so the answer is 0.000008.
Express 0.1222... (only the 2 repeats) as a fraction.
- 11/90
- 12/99
- 11/99
- 6/50
Answer: 11/90. Mixed recurring: (12 - 1)/90 = 11/90. One 9 for the repeating digit, one 0 for the non-repeating digit.
Arrange in ascending order: 2/3, 3/5, 7/10, 5/8
- 3/5, 2/3, 5/8, 7/10
- 5/8, 3/5, 2/3, 7/10
- 3/5, 5/8, 2/3, 7/10
- 3/5, 5/8, 7/10, 2/3
Answer: 3/5, 5/8, 2/3, 7/10. As decimals: 3/5 = 0.6, 5/8 = 0.625, 2/3 ~ 0.667, 7/10 = 0.7.
A man spends 1/3 of his salary on rent and 1/4 of the remainder on food. He is left with Rs 9,000. What is his salary?
- Rs 18,000
- Rs 24,000
- Rs 16,000
- Rs 21,000
Answer: Rs 18,000. Part left = (1 - 1/3)(1 - 1/4) = 2/3 × 3/4 = 1/2. So half the salary is Rs 9,000 and the salary is Rs 18,000.
What is 1.5 ÷ 0.025?
- 6
- 600
- 0.6
- 60
Answer: 60. Make the divisor whole by moving both decimal points three places: 1,500 ÷ 25 = 60.
Simplify: 2 3/4 + 1 5/6 - 2 1/3
- 2 1/2
- 2 1/4
- 1 3/4
- 2 1/12
Answer: 2 1/4. Over 12: 33/12 + 22/12 - 28/12 = 27/12 = 9/4 = 2 1/4.
Which of these fractions will give a terminating decimal?
- 7/24
- 13/40
- 5/12
- 11/30
Answer: 13/40. In lowest terms a fraction terminates only if the denominator has only 2s and 5s. 40 = 2³ × 5, while 24, 12 and 30 all contain 3.
Given 1/7 = 0.142857142857..., what is 5/7 as a decimal?
- 0.751428...
- 0.571428...
- 0.741285...
- 0.714285...
Answer: 0.714285.... Sevenths rotate the digits 142857. 5/7 is a little above 0.7, so start the cycle at 7: 0.714285....
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