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

Question : 11

Which of the following numbers is not a factor of $5^p7^q$ (p ≠ 0, q ≠ 0)

a) 175

b) 735

c) 1225

d) 35

Question : 12

If $m^n$ = 169, what is the value of $(m+1)^(n - 1)$ ?

a) 13

b) 170

c) 196

d) 14

Question : 13

If $27^{2x - 1} = (243)^3$ then the value of x is :

a) 6

b) 9

c) 7

d) 3

Question : 14 [SSC CGL Prelim 2000]

$(36)^{1/6}$ is equal to :

a) 6

b) $√^3{6}$

c) $√6$

d) 1

Question : 15 [SSC CHSL 2011]

If $2^x = 3^y = 6^{ - z}$ then $(1/x+1/y+1/z)$ is equal to

a) 1

b) - $1/2$

c) $3/2$

d) 0