Square and Cube Roots Quiz Set 019

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Question 1

What is the value of ${√625/2}$ × ${2/√25}$ × ${2/√4}$?

 A

5.

 B

5√5.

 C

√5;.

 D

1/√5.

Soln.
Ans: a

The given expression can be simplified to ${√5^4/2}$ × ${2/√5^2}$ × ${2/√2^2}$, which is same as ${5^2/2}$ × ${2/5}$ × ${2/2}$, which cancels to 5.


Question 2

How many 3 digit numbers are their whose squares end in 8?

 A

0.

 B

4.

 C

9.

 D

16.

Soln.
Ans: a

It is not possible for the square of any number to end in 2, 3, 7 or 8. Hence the answer is 0.


Question 3

What is the least number that should be subtracted from 0.0281 to make it a perfect square?

 A

0.02.

 B

0.3.

 C

0.2.

 D

0.03.

Soln.
Ans: a

We know that 0.09 = $√0.0081$, so by inspection we can see that 0.0281 - 0.02 will give us 0.0081.


Question 4

What is the value of ${√1296/6}$ × ${4/√36}$ × ${6/√16}$?

 A

6.

 B

4.

 C

1.414.

 D

16.

Soln.
Ans: a

The given expression can be simplified to ${√6^4/6}$ × ${4/√6^2}$ × ${6/√4^2}$, which is same as ${6^2/6}$ × ${4/6}$ × ${6/4}$, which cancels to 6.


Question 5

What is the value of ${√17}/2$ − $3/{√17}$?

 A

${11√17}/34$.

 B

${21√17}/34$.

 C

${22√17}/34$.

 D

${20√17}/34$.

Soln.
Ans: a

The given expression can be simplified to ${{(√17)^2} - 2 × 3}/{2 × √17}$, which is same as ${17 - 6}/{2 × √17}$, which is same as ${11/{2 × √17}$. Rationalizing, we get ${11/{2 × √17} × {√17/√17}$ which gives ${11√17}/34$


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This Blog Post/Article "Square and Cube Roots Quiz Set 019" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-10-26.

Posted by Parveen(Hoven),
Aptitude Trainer


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