Square and Cube Roots Quiz Set 003

Advertisement


Your Score
Correct Answers:
Wrong Answers:
Unattempted:

Question 1

Each box of a almirah has as many balls as is the total number of boxes in that almirah. If there are 144 balls in all, how many boxes are there?

 A

12.

 B

9.

 C

16.

 D

10.

Soln.
Ans: a

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


Question 2

If $√2$ = 1.41, then what is the value of ${√2}/5$ − $2/{√2}$ + $√8$?

 A

1.697.

 B

1.414.

 C

1.732.

 D

0.707.

Soln.
Ans: a

The given expression can be simplified to ${{(√2)^2} - {5 × 2} + {5 × √2 × √{2 × 2^2}}}/{5 × √2}$, which is same as ${2 - 10 + 20}/{5 × √2}$, which is same as ${12/{5 × √2}$. Rationalizing, we get ${12/{5 × √2} × {√2/√2}$ which gives ${12√2}/10$ which = 1.697.


Question 3

If $√5$ = 2.24, then what is the value of ${√5}/2$ − $3/{√5}$ + $√20$?

 A

4.249.

 B

4.449.

 C

4.649.

 D

4.496.

Soln.
Ans: a

The given expression can be simplified to ${{(√5)^2} - {2 × 3} + {2 × √5 × √{5 × 2^2}}}/{2 × √5}$, which is same as ${5 - 6 + 20}/{2 × √5}$, which is same as ${19/{2 × √5}$. Rationalizing, we get ${19/{2 × √5} × {√5/√5}$ which gives ${19√5}/10$ which = 4.249.


Question 4

What is the value of ${√11}/3$ − $2/{√11}$?

 A

${5√11}/33$.

 B

${15√11}/33$.

 C

${13√11}/33$.

 D

${6√11}/33$.

Soln.
Ans: a

The given expression can be simplified to ${{(√11)^2} - 3 × 2}/{3 × √11}$, which is same as ${11 - 6}/{3 × √11}$, which is same as ${5/{3 × √11}$. Rationalizing, we get ${5/{3 × √11} × {√11/√11}$ which gives ${5√11}/33$


Question 5

If $√2$ = 1.41, then what is the value of ${√2}/5$ − $5/{√2}$ + $√50$?

 A

3.818.

 B

-3.818.

 C

7.636.

 D

-7.636.

Soln.
Ans: a

The given expression can be simplified to ${{(√2)^2} - {5 × 5} + {5 × √2 × √{2 × 5^2}}}/{5 × √2}$, which is same as ${2 - 25 + 50}/{5 × √2}$, which is same as ${27/{5 × √2}$. Rationalizing, we get ${27/{5 × √2} × {√2/√2}$ which gives ${27√2}/10$ which = 3.818.


buy aptitude video tutorials


Creative Commons License
This Blog Post/Article "Square and Cube Roots Quiz Set 003" 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


Advertisement