Square and Cube Roots Quiz Set 016

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Question 1

What is cube root of 0.000216?

 A

0.06.

 B

0.6.

 C

0.006.

 D

0.0006.

Soln.
Ans: a

We can see that 0.06 × 0.06 × 0.06 = 0.000216, so cube root is 0.06.


Question 2

Each canvas of a group of canvases has as many dots as is the total number of canvases in that group of canvases. If there are 144 dots in all, how many canvases are there?

 A

12.

 B

14.

 C

22.

 D

16.

Soln.
Ans: a

Let the number of canvases = n. So dots in one canvas are also n, and therefore, dots in n canvases = $n^2$. We have been given $n^2 = 144$, which gives n = 12.


Question 3

If x = 0.3304, then what is the value of $4x + √{16x^2 - 8x + 1}$?

 A

1.

 B

2.0.

 C

0.3304.

 D

0.6608.

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 4

What is √(480) × √(1080)?

 A

720.

 B

240.

 C

360.

 D

120.

Soln.
Ans: a

We can see that √(480) × √(1080) is same as √(2 × 2 × 2 × 2 × 2 × 3 × 5 ) × √(2 × 2 × 2 × 3 × 3 × 3 × 5 ) which equals √(28 × 34 × 52), which equals (24 × 32 × 51), which gives 720.


Question 5

What is cube root of 0.000512?

 A

0.08.

 B

0.16.

 C

0.016.

 D

1.6.

Soln.
Ans: a

We can see that 0.08 × 0.08 × 0.08 = 0.000512, so cube root is 0.08.


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This Blog Post/Article "Square and Cube Roots Quiz Set 016" 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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