Model 3 Simplification based on cube & cube root Practice Questions Answers Test with Solutions & More Shortcuts

Question : 26 [SSC CHSL 2012]

If $√^3{3^n}$ = 27, then the value of n is :

a) 3

b) 9

c) 1

d) 6

Question : 27 [SSC CGL Prelim 2005]

Which smallest number must be added to 710 so that the sum is a perfect cube ?

a) 21

b) 29

c) 11

d) 19

Question : 28

The smallest natural number, by which 3000 must be divided to make the quotient a perfect cube, is :

a) 6

b) 3

c) 5

d) 4

Question : 29 [SSC CGL Prelim 1999]

By which smallest number 1323 must be multiplied, so that it becomes a perfect cube?

a) 7

b) 2

c) 5

d) 3

Question : 30 [SSC CGL Prelim 2004]

The sum of the digits of the smallest number which, when multiplied by 1800, gives a perfect cube, is :

a) 8

b) 2

c) 6

d) 3