Square and Cube Roots Quiz Set 010

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Question 1

If x = 0.6877, then what is the value of $8x + √{25x^2 - 10x + 1}$?

 A

3.06.

 B

2.16.

 C

4.16.

 D

3.64.

Soln.
Ans: a

By inspection, $8x + √{25x^2 - 10x + 1}$ is same as $8x + √{({1 - 5x})^2}$, which is same as 8x + (1 - 5x) = 1 + 3x = 3.06.


Question 2

What is √(378) × √(6048)?

 A

1512.

 B

1496.

 C

1440.

 D

1500.

Soln.
Ans: a

We can see that √(378) × √(6048) is same as √(2 × 3 × 3 × 3 × 7 ) × √(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 ) which equals √(26 × 36 × 72), which equals (23 × 33 × 71), which gives 1512.


Question 3

What is the value of $x$ in $√{0.0196 × x}$ = 1.4?

 A

100.

 B

0.0014.

 C

96.

 D

128.

Soln.
Ans: a

The given expression can be simplified to $0.0196 × x$ = $1.4^2$, which gives x = ${1.4^2}/0.0196$, which is same as $1.96/0.0196$ which gives 100.


Question 4

What is the value of $x$ in $√{0.0016 × x}$ = 0.4?

 A

100.

 B

10.

 C

1.

 D

1000.

Soln.
Ans: a

The given expression can be simplified to $0.0016 × x$ = $0.4^2$, which gives x = ${0.4^2}/0.0016$, which is same as $0.16/0.0016$ which gives 100.


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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This Blog Post/Article "Square and Cube Roots Quiz Set 010" 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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