Square Root Questions and Answers

This set of Aptitude Questions and Answers (MCQs) focuses on “Square Root”.

1. Find the value of \(\sqrt{46656}\).
a) 216
b) 224
c) 212
d) 228
View Answer

Answer: a
Explanation: 46656 = 4*4*6*6*9*9

Therefore, \(\sqrt{46656}=\sqrt{4*4*6*6*9*9}\) = 4*6*9=216.

2. Find the square-root of 44521.
a) 229
b) 211
c) 219
d) 221
View Answer

Answer: b
Explanation:

Therefore, square-root of 44521 = 211.

3. Find the square root of 211.9936.
a) 14.86
b) 15.44
c) 14.56
d) 15.84
View Answer

Answer: c
Explanation:

Therefore, the square root of 211.9936 is 14.56.
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4. Find the value of \(\sqrt{336+\sqrt{620+\sqrt{25}}}\).
a) 23
b) 17
c) 21
d) 19
View Answer

Answer: d
Explanation: \(\sqrt{336+\sqrt{620+\sqrt{25}}}=\sqrt{336+\sqrt{620+5}}=\sqrt{336+\sqrt{625}}=\sqrt{336+25}=\sqrt{361}\)=19.

5. Find the value of \(\sqrt{2 \frac{41}{64}}\).
a) 13/8
b) 14/8
c) 11/8
d) 13/7
View Answer

Answer: a
Explanation: \(\sqrt{2 \frac{41}{64}}=\sqrt{\frac{169}{64}}=\frac{13}{8}\).
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6. Find the value of x in \(\sqrt{\frac{67.2}{x}}\)=4.
a) 4.6
b) 4.2
c) 3.8
d) 3.6
View Answer

Answer: b
Explanation: \(\sqrt{\frac{67.2}{x}}\)=4 🡪 \(\frac{67.2}{x}\)=16 🡪 x=\(\frac{67.2}{16}\)=4.2.

7. What is the square root of 0.000196?
a) 0.013
b) 0.00014
c) 0.014
d) 0.0013
View Answer

Answer: c
Explanation: 0.000196 = \(\frac{196}{1000000}\).
\(\sqrt{0.000196}=\sqrt{\frac{196}{1000000}}=\frac{14}{1000}\)=0.014.

8. Find the value of \(\frac{192}{\sqrt{256}}*\frac{\sqrt{676}}{\sqrt{144}}*\frac{\sqrt{729}}{13}\).
a) 36
b) 58
c) 48
d) 54
View Answer

Answer: d
Explanation: \(\frac{192}{\sqrt{256}}*\frac{\sqrt{676}}{\sqrt{144}}*\frac{\sqrt{729}}{13} = \frac{16*12}{16}*\frac{26}{12}*\frac{27}{13}\)=2*27=54.

9. Find the value of x in \(\sqrt{600.25}+\sqrt{x^3+17}\)=29.5.
a) 2
b) 2.4
c) 3.2
d) 4
View Answer

Answer: a
Explanation: \(\sqrt{600.25}+\sqrt{x^3+17}\)=29.5 🡪 24.5+\(\sqrt{x^3+17}\)=29.5 🡪 \(\sqrt{x^3+17}\)=5.
x3+17=25 🡪 x3=8 🡪 x=2.
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10. If \(\sqrt{1+\frac{x}{225}}=\frac{17}{15}\), then find the value of x.
a) 86
b) 64
c) 74
d) 58
View Answer

Answer: b
Explanation: \(\sqrt{1+\frac{x}{225}}=\frac{17}{15}\) 🡪 1+\(\frac{x}{225}=\frac{289}{225} 🡪 \frac{x}{225}=\frac{64}{225}\) 🡪 x=64.

More Aptitude Questions and Answers on Square Root:

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
I’m Manish - Founder and CTO at Sanfoundry. I’ve been working in tech for over 25 years, with deep focus on Linux kernel, SAN technologies, Advanced C, Full Stack and Scalable website designs.

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