Square and Cube Roots Quiz Set 006

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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

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 3

How many 4 digit numbers are their whose squares end in 2?

 A

0.

 B

2.

 C

3.

 D

4.

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 4

If $4√5 + √80 = 17.89$, then what is the value of $√125 + 6√5$?

 A

24.60.

 B

12.25.

 C

25.

 D

12.96.

Soln.
Ans: a

The given expression can be rearranged like this: $4√5 + √{4^{2} × 5}$, which is same as $4√5 + 4√5$ which is same as $8√5 = 17.89$, from which we get $√5 = 2.24$. Next we can see that $√125 + 6√5$ is same as $√{5^{2} × 5} + 6√5$, which is same as $11√5$, which gives $11 × 2.24$ = 24.60.


Question 5

If $5√3 + √108 = 19.05$, then what is the value of $√27 + 3√3$?

 A

10.39.

 B

10.64.

 C

10.172.

 D

10.81.

Soln.
Ans: a

The given expression can be rearranged like this: $5√3 + √{6^{2} × 3}$, which is same as $5√3 + 6√3$ which is same as $11√3 = 19.05$, from which we get $√3 = 1.73$. Next we can see that $√27 + 3√3$ is same as $√{3^{2} × 3} + 3√3$, which is same as $6√3$, which gives $6 × 1.73$ = 10.39.


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This Blog Post/Article "Square and Cube Roots Quiz Set 006" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-05-17.

Posted by Parveen(Hoven),
Aptitude Trainer


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