1 The value of $\frac{1}{(216)^{-\frac{2}{3}}}$ $ +\frac{1}{(256)^{-\frac{3}{4}}}$ $+\frac{1}{(32)^{-\frac{1}{5}}}$ is : A) 102 B) 105 C) 107 D) 109
2 $(2.4 \times 10^{3})\div (8 \times 10^{-2})=?$ A) $(3 \times 10^{-5})$ B) $(3 \times 10^{4})$ C) $(3 \times 10^{5})$ D) 30
7 If $\left(\frac{a}{b}\right)^{x-1}=\left(\frac{b}{a}\right)^{x-3}$, then the value of x is: A) 1/2 B) 1 C) 2 D) 7/2
9 If $\left(\sqrt{3}\right)^{5} \times 9^{2}=3^{n}\times 3\sqrt{3}$, then the value of n is: A) 2 B) 3 C) 4 D) 5
10 If $\frac{9^{n} \times 3^{5} \times \left(27\right)^{3}}{3 \times \left(81\right)^{4}}=27$, then the value of n is: A) 0 B) 2 C) 3 D) 4
12 Given that $10^{0.48}=x,10^{0.70}=y$ and $x^{2}=y^{2}$, then the value of z is close to: A) 1.45 B) 1.88 C) 2.9 D) 3.7
13 Name of prime factors in $\left(216\right)^{\frac{3}{5}}\times \left(2500\right)^{\frac{2}{5}}\times \left(300\right)^{\frac{1}{5}}$ A) 6 B) 7 C) 8 D) none of this
14 if abc= 1, then $\left(\frac{1}{1+a+b^{-1}}+\frac{1}{1+b+c^{-1}}+\frac{1}{1+c+a^{-1}}\right)=?$ A) 0 B) 1 C) 1/ab D) ab
