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Aptitude - Square Root and Cube Root

Exercise : Square Root and Cube Root - General Questions
1.
The cube root of .000216 is:
.6
.06
77
87
Answer: Option
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
12
14
144
196
Answer: Option
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:
213444
214344
214434
231444
Answer: Option
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 = ?

1.05
1.25
1.45
1.55
Answer: Option
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 ?

13.41
20.46
21.66
22.35
Answer: Option
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

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