Square and Cube Roots Quiz Set 001

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Question 1

One-fifth of the square-root of which number is 0.6?

 A

9.

 B

16.

 C

4.

 D

25.

Soln.
Ans: a

Let the number be n. So ${1/5} × √n$ = 0.6, which gives $√n$ = 5 × 0.6 = 3. so n = $3^2$ = 9.


Question 2

If x = 0.7727, then what is the value of $4x + √{16x^2 - 8x + 1}$?

 A

1.

 B

8.

 C

16.

 D

9.

Soln.
Ans: a

By inspection, $4x + √{16x^2 - 8x + 1}$ is same as $4x + √{({1 - 4x})^2}$, which is same as 4x + (1 - 4x) = 1.


Question 3

What is the value of $√{7 + √1764}$?

 A

7.

 B

8.

 C

14.

 D

6.

Soln.
Ans: a

The given expression is same as $√{7 + √42^2}$, which becomes $√{7 + 42}$, or $√49$ which gives 7 as the answer. Please note that squares of as many numbers should be always on your tips.


Question 4

If $4√3 + √27 = 12.12$, then what is the value of $√12 + 5√3$?

 A

12.12.

 B

12.00.

 C

11.12.

 D

12.96.

Soln.
Ans: a

The given expression can be rearranged like this: $4√3 + √{3^{2} × 3}$, which is same as $4√3 + 3√3$ which is same as $7√3 = 12.12$, from which we get $√3 = 1.73$. Next we can see that $√12 + 5√3$ is same as $√{2^{2} × 3} + 5√3$, which is same as $7√3$, which gives $7 × 1.73$ = 12.12.


Question 5

What is the value of $√{3 + √1089}$?

 A

6.

 B

3.

 C

12.

 D

9.

Soln.
Ans: a

The given expression is same as $√{3 + √33^2}$, which becomes $√{3 + 33}$, or $√36$ which gives 6 as the answer. Please note that squares of as many numbers should be always on your tips.


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Creative Commons License
This Blog Post/Article "Square and Cube Roots Quiz Set 001" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-04-07.

Posted by Parveen(Hoven),
Aptitude Trainer


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