Decimal Fractions Questions and Answers – Arithmetic Operations

This set of Aptitude Questions and Answers (MCQs) focuses on “Arithmetic Operations”.

1. What is the place value of 8 in 0.096852?
a) 8/10000
b) 8/1000
c) 8/100000
d) 8/100
View Answer

Answer: a
Explanation: The place value of 8 in 0.096852 is 0.0008 = 8/10000.

2. What decimal of an hour is a second?
a) 0.00278
b) 0.0002778
c) 0.002889
d) 0.00025667
View Answer

Answer: b
Explanation: Decimal of an hour is a second = \(\frac{1}{60*60}\)=0.0002778.

3. How many times 0.9 is greater than 0.003?
a) 133.33
b) 100
c) 30
d) 300
View Answer

Answer: d
Explanation: \(\frac{0.003}{0.9}\)=300.
Hence, 0.9 is 300 times greater than 0.003.
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4. Which of the following is second largest?
\(\frac{12}{23},\frac{12}{20},\frac{16}{28},\frac{19}{35} and \frac{14}{22}\).
a) 13/20
b) 16/28
c) 14/22
d) 12/23
View Answer

Answer: c
Explanation: \(\frac{12}{23}=0.5218\), \(\frac{12}{20}\)=0.65, \(\frac{16}{28}\)=0.5714, \(\frac{19}{35}\)=0.5429 and \(\frac{14}{22}\)=0.6363.
Therefore, the second largest is 14/22.

5. Find the difference between largest and smallest decimal fraction.
\(\frac{5}{6}, \frac{6}{7}, \frac{7}{8} and \frac{8}{9}\).
a) 1.523
b) 0.05
c) 1.72
d) 0.43
View Answer

Answer: b
Explanation: \(\frac{5}{6}\)=0.833, \(\frac{6}{7}\)=0.8571, \(\frac{7}{8}\)=0.875 and \(\frac{8}{9}\)=0.889.
Therefore, the difference between largest and smallest decimal fraction is 8/9-5/6=0.05.

6. Which of the following fraction is greater than 1/2 and less than 5/9?
a) 6/11
b) 4/7
c) 2/3
d) 5/8
View Answer

Answer: a
Explanation: \(\frac{1}{2}\)=0.5 and \(\frac{5}{9}\)=0.5.
\(\frac{6}{11}\)=0.54,\(\frac{4}{7}\)=0.5714,\(\frac{2}{3}\)=0.6 and \(\frac{5}{8}\)=0.625.
Therefore, 6/11 is greater than 1/2 and less than 5/9.

7. Which one of the following is wrong?
a) \(\frac{9}{4}\)+2.75=5
b) \(\frac{7}{5}-\frac{7}{10}\)=0.7
c) \(\frac{37}{8}+\frac{22}{16}\)=6
d) \(\frac{3}{2}-\frac{51}{34}\)=1
View Answer

Answer: d
Explanation: \(\frac{9}{4}\)+2.75=2.25+2.75=5.
\(\frac{7}{5}-\frac{7}{10}\)=1.4-0.7=0.7.
\(\frac{37}{8}+\frac{22}{16}\)=4.625+1.375=6.
\(\frac{3}{2}-\frac{51}{34}\)=1.5-1.5=0.
Hence, \(\frac{3}{2}-\frac{51}{34}\)=1 is incorrect.
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8. What is the value of one thousandth of meter when written in fractions of kilometer?
a) 0.00001
b) 0.000001
c) 0.0000001
d) 0.0001
View Answer

Answer: b
Explanation: One hundredth of meter = \(\frac{1}{1000}\)m.
One hundredth of meter when written in fractions of kilometer = \(\frac{\frac{1}{1000}}{1000}\)=0.000001.

9. If 87.5*10k = 0.000000875, then what is the value of k?
a) -9
b) -7
c) -8
d) -6
View Answer

Answer: c
Explanation: 87.5*10k = 0.000000875.
87.5*10k=87.5*10-8.
Therefore k=-8.

10. How many digits will be there to the right of decimal point in the product of 52.75 and 23.98?
a) 4
b) 5
c) 2
d) 3
View Answer

Answer: d
Explanation: 52.75 * 23.98 = 1264.945.
Hence, there are 3 digits to the right of decimal point in the product.
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To practice all aptitude questions, please visit “1000+ Quantitative Aptitude Questions”, “1000+ Logical Reasoning Questions”, and “Data Interpretation Questions”.

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Manish Bhojasia - Founder & CTO at Sanfoundry
Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He lives in Bangalore, and focuses on development of Linux Kernel, SAN Technologies, Advanced C, Data Structures & Alogrithms. Stay connected with him at LinkedIn.

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