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

Question : 1 [SSC FCI Ass Grade-III 2013]

If a = 7 - $4√3$, the value of $a^{1/2}+ a^{-1/2}$ is

a) 4

b) $2√3$

c) 7

d) $3√3$

Question : 2

$4^61 + 4^62 + 4^63 + 4^64$ is divisible by

a) 3

b) 13

c) 11

d) 17

Question : 3

If $x = 3^{1/3} - 3^{-1/3}$, then $(3x^3 + 9x)$ is equal to

a) 6

b) 8

c) 7

d) 5

Question : 4 [SSC CGL Tier-I 2016]

If $2^{x + 4} - 2^{x + 2}$ = 3, then the value of 'x' is :

a) 2

b) - 2

c) - 1

d) 0

Question : 5 [SSC CGL Tier-I 2014]

Arranging the following in ascending order $3^34, 2^51, 7^17$ we get

a) $7^17 > 2^51 > 3^34$

b) $2^51 > 3^34 > 7^17$

c) $3^34 > 7^17 > 2^51$

d) $3^34 > 2^51 > 7^17$