Aptitude - Square Root and Cube Root

Why Aptitude Square Root and Cube Root?

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How to solve Aptitude Square Root and Cube Root problems?

You can easily solve all kind of Aptitude questions based on Square Root and Cube Root by practicing the objective type exercises given below, also get shortcut methods to solve Aptitude Square Root and Cube Root problems.

Exercise :: Square Root and Cube Root - General Questions

1. 

The cube root of .000216 is:

A. .6
B. .06
C. 77
D. 87

Answer: Option B

Explanation:

(.000216)1/3 = 216 1/3
106

   = 6 x 6 x 6 1/3
102 x 102 x 102

   = 6
102

   = 6
100

   = 0.06


2. 

What should come in place of both x in the equation x = 162 .
128 x

A. 12
B. 14
C. 144
D. 196

Answer: Option A

Explanation:

Let x = 162
128 x

Then x2 = 128 x 162

   = 64 x 2 x 18 x 9

   = 82 x 62 x 32

   = 8 x 6 x 3

   = 144.

x = 144 = 12.


3. 

The least perfect square, which is divisible by each of 21, 36 and 66 is:

A. 213444
B. 214344
C. 214434
D. 231444

Answer: Option A

Explanation:

L.C.M. of 21, 36, 66 = 2772.

Now, 2772 = 2 x 2 x 3 x 3 x 7 x 11

To make it a perfect square, it must be multiplied by 7 x 11.

So, required number = 22 x 32 x 72 x 112 = 213444


4. 

1.5625 = ?

A. 1.05
B. 1.25
C. 1.45
D. 1.55

Answer: Option B

Explanation:

   1|1.5625( 1.25
    |1
    |-------
  22| 56
    | 44
    |-------
 245| 1225
    | 1225
    |-------
    |    X
    |-------     

1.5625 = 1.25.


5. 

If 35 + 125 = 17.88, then what will be the value of 80 + 65 ?

A. 13.41
B. 20.46
C. 21.66
D. 22.35

Answer: Option D

Explanation:

35 + 125 = 17.88

35 + 25 x 5 = 17.88

35 + 55 = 17.88

85 = 17.88

5 = 2.235

80 + 65 = 16 x 5 + 65

   = 45 + 65

   = 105 = (10 x 2.235) = 22.35