model 3 based on positive and negative exponent Practice Questions Answers Test with Solutions & More Shortcuts

Question : 6 [SSC CGL Tier-II 2015]

The unit digit in the product $(2467)^153 × (341)^72$ is

a) 3

b) 1

c) 9

d) 7

Question : 7 [SSC CAPFs SI 2014]

A tap is dripping at a constant rate into a container. The level (L cm) of the water in the container is given by the equation L = 2 - $2^t$, where t is time taken in hours. Then the level of water in the container at the start is

a) 1 cm

b) 4 cm

c) 2 cm

d) 0 cm

Question : 8

If $√{3n}$ = 2187 then the value of n is :

a) 14

b) 16

c) 15

d) 13

Question : 9 [SSC CGL Prelim 1999]

If $3^{x+8} = 27^{2x+1}$, the value of x is :

a) 3

b) 1

c) - 2

d) 7

Question : 10 [SSC CPO 2016]

What will be the remainder when $252^126+244^152$ is divided by 10 ?

a) 6

b) 8

c) 0

d) 4