a2zinterviews

1.	The cube root of .000216 is
	A.  .6
	B.  .06
	C.  .006
	D.  None of these

Solution

(.000216)1/3 = (216 / 106)1/3 =( 6 x 6 x / 102 x 10 2 x 102 )1/3 ‹=›6 / 102 ‹=›6 / 100 = .06

2.	The largest four digit number which is a perfect cube, is
	A.  8000
	B.  9261
	C.  9999
	D.  None of these

Solution

Clearly, 9261 is a perfect cube satisfying the given property.

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

Solution

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

4.	What is the square of 0.16?
	A.  0.004
	B.  0.04
	C.  0.4
	D.  4

Solution

√0.16 = √16 / 100 = √16 / √100 ‹=› 4 / 10 ‹=› 0.4.

5.	What number should be divided by √0.25 to give the results as 25?
	A.  12.5
	B.  25
	C.  50
	D.  125

Solution

Let the required number be x. Then, x / √0.25 = 25 ‹=› x / 0.5 = 25 ‹=›x= 25 x 0.5 = 12.5.