# Square Roots and Cube Roots Questions

Q:

If (89)2 is added to the square of a number, the answer so obtained is 16202. What is the (1/26) of that number?

 A) 5.65 B) 2.7 C) 3.5 D) 6.66

Explanation:

Let the number is = x

(89)2 + x2 = 16202

x2 = 8281

x = 91

=> (1/26) of 91 = 3.5

30 21536
Q:

The cube root of .000216 is:

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

Explanation:

$.00021613=21610613=6*6*6102*102*10213=6102=0.06$

85 17867
Q:

What should come in place of both the question marks in the equation

$?128=162?$

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

Explanation:

Let $x128=162x$

Then,

$∴x=12$

29 17027
Q:

What should come in place of x in the following equation?

 A) 13 B) 12 C) 17 D) 16

Explanation:

Then x2 = $162x128$

= Sqrt of 82 x 62 x 32

= 8 x 6 x 3

x2  = 144. x  = 12.

15 12100
Q:

If $35+125=17.88$, then what will be the value of

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

Explanation:

$⇒5=2.235$

$∴80+65=45+65=105=10×2.235=22.35$

17 9220
Q:

The value of  $10+25+108+154+225$is:

 A) 4 B) 6 C) 8 D) 10

Explanation:

$10+25+108+154+22510+25+108+154+1510+25+108+1310+25+1110+616=4$

42 8984
Q:

If $18225=135$, then the value of   is:

 A) 1.49985 B) 14.9985 C) 149.985 D) 1499.85

Explanation:

Given exp = $18225102+18225104+18225106+18225108$

= $1822510+18225102+18225103+18225104$

= $13510+135100+1351000+13510000$

= 13.5+1.35+0.135+0.0135=14.9985