This set of Aptitude Questions and Answers (MCQs) focuses on “Decimal Fractions”. These questions are beneficial for various competitive exams, placement interviews, and entrance tests.
1. What is the value of (2.99)2?
a) 8.9401
b) 8.9041
c) 8.4901
d) 8.4491
View Answer
Explanation: (2.99)2 = (3 – 0.01)2 = 32 + 0.012 – 2*3*0.01 = 8.9401.
2. What is the value of \(\sqrt{\frac{0.09*0.0064*0.81*0.049}{0.03*0.0007*0.016*0.21}}\)?
a) 6√3
b) 18
c) 12
d) 24
View Answer
Explanation: \(\sqrt{\frac{0.09*0.0064*0.81*0.049}{0.03*0.0007*0.016*0.21}}=\sqrt{\frac{9*64*81*49}{3*7*16*21}}\)=18.
3. Find the value of \(\frac{0.49-0.25}{0.2}\)?
a) 1.04
b) 1.4
c) 1.02
d) 1.2
View Answer
Explanation: \(\frac{0.49-0.25}{0.2}=\frac{0.7^2-0.5^2}{0.7-0.5}=\frac{(0.7+0.5)(0.7-0.5)}{0.7-0.5}\)=1.2 .
4. Find the value of \(\frac{0.24*0.24*0.24-0.12*0.12*0.12}{0.72*0.72*0.72-0.36*0.36*0.36}\).
a) 1/9
b) 1/3
c) 1/27
d) 1/21
View Answer
Explanation: \(\frac{0.24*0.24*0.24-0.12*0.12*0.12}{0.72*0.72*0.72-0.36*0.36*0.36} = \frac{0.24^3-0.12^3}{(3*0.24)^3-(3*0.12)^3} =\frac{0.24^3-0.12^3}{27(0.24^3-0.12^3)}=\frac{1}{27}\).
5. Find the value of \(\frac{0.64^3+0.36^3}{0.64^2+0.36^2-0.64*0.36}\).
a) 1
b) 0.28
c) 1.28
d) 1.1
View Answer
Explanation: \(\frac{a^3+b^3}{a^2-ab+b^2}\)=a+b
\(\frac{0.64^3+0.36^3}{0.64^2+0.36^2-0.64*0.36}\)=0.64+0.36=1.
6. Find the value of \(\frac{a^3-b^3}{a^2+ab+b^2}\), for a = 1.1 and b = 0.2.
a) 0.8
b) 0.9
c) 1.3
d) 0.7
View Answer
Explanation:\(\frac{a^3-b^3}{a^2+ab+b^2}\)=a-b=1.1-0.2=0.9.
7. Find the value of \(\frac{0.64^2-0.49^2-0.36^2}{0.064^2-0.049^2-0.036^2}\).
a) 10
b) 1/100
c) 100
d) 1/300
View Answer
Explanation: \(\frac{0.64^2-0.49^2-0.36^2}{0.064^2-0.049^2-0.036^2}=\frac{0.64^2-0.49^2-0.36^2}{(\frac{0.64}{10})^2-(\frac{0.49}{10})^2-(\frac{0.36}{10})^2}\)=100.
8. Find the value of 0.0813+0.0093+0.002187*0.009.
a) 0.000729
b) 0.00729
c) 0.0000729
d) 0.729
View Answer
Explanation: a3+b3+3ab(a+b) = (a+b)3.
0.0813+0.0093+0.002187*0.009 = 0.0813 + 0.0093 + 3*0.081*0.009(0.081+0.009) = (0.081+0.009)3 = 0.093 = 0.000729.
9. Which of the following is equal to 1?
a) \(\frac{0.21^2}{2.1^2*0.1} \)
b) \(\frac{2.1^2}{21^2*0.01^2} \)
c) \(\frac{0.021^2}{2.1^2*0.01^2} \)
d) \(\frac{0.21^2}{21^2*0.01} \)
View Answer
Explanation: \(\frac{0.021^2}{2.1^2*0.01^2} = \frac{21^2*10^{-6}}{(21^2*10^{-2}*10^{-4}}\)=1.
Hence, \(\frac{0.021^2}{2.1^2*0.01^2}\) is the answer.
10. Find the value of \(\frac{0.8^2+0.2^2}{0.64^2-0.04^2}\).
a) 1.16
b) 0.16
c) 1.6
d) 0.6
View Answer
Explanation: \(\frac{0.8^2+0.2^2}{0.64^2-0.04^2}=\frac{0.64+0.04}{(0.64+0.04)(0.64-0.04)}=\frac{1}{0.6}\)=1.6.
More Aptitude Questions and Answers on Decimal Fractions:
- Decimal Fractions Questions (Set 2)
- Decimal Fractions Questions (Set 3)
- Decimal Fractions Questions (Set 4)
- Decimal Fractions Questions (Set 5)
- Decimal Fractions Questions (Set 6)
To practice all aptitude questions, please visit “1000+ Quantitative Aptitude Questions”, “1000+ Logical Reasoning Questions”, and “Data Interpretation Questions”.
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