square root and cube root aptitude questions

11.
625 x 14 x 11 is equal to:
11 25 196
A. 5 B. 6
C. 8 D. 11

Answer: Option A

Explanation:

 

Given Expression = 25 x 14 x 11 = 5.
11 5 14

12.  

0.0169 x ? = 1.3

A. 10 B. 100
C. 1000 D. None of these

Answer: Option B

Explanation:

 

Let 0.0169 x x = 1.3.

Then, 0.0169x = (1.3)2 = 1.69

 

x = 1.69 = 100
0.0169

13.  

3 – 1 2 simplifies to:
3
A.
3
4
B.
4
3
C.
4
3
D. None of these

Answer: Option C

Explanation:

 

 

3 – 1 2 = (3)2 + 1 2 – 2 x 3 x 1
3 3 3

 

= 3 + 1 – 2
3

 

= 1 + 1
3

 

= 4
3

14. How many two-digit numbers satisfy this property.: The last digit (unit’s digit) of the square of the two-digit number is 8 ?
A. 1 B. 2
C. 3 D. None of these

Answer: Option D

Explanation:

A number ending in 8 can never be a perfect square.


15. The square root of 64009 is:
A. 253 B. 347
C. 363 D. 803

Answer: Option A

Explanation:

 

   2|64009( 253
    |4
    |----------
  45|240
    |225
    |----------
 503|  1509
    |  1509
    |----------
    |     X
    |----------

64009 = 253.

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