1 $(2.4 \times 10^{3})\div (8 \times 10^{-2})=?$ A) $(3 \times 10^{-5})$ B) $(3 \times 10^{4})$ C) $(3 \times 10^{5})$ D) 30
3 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
5 If $5\sqrt{5}\times 5^{3}+5^{-\frac{3}{2}}$ $=5^{a+2}$, then the value of a is: A) 4 B) 5 C) 6 D) 8
7 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
8 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
10 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
11 Number of prime numbers in $\frac{6^{12}\times 35^{28}\times 15^{16}}{14^{12}\times 21^{11}}is:$ A) 56 B) 66 C) 112 D) none of this
12 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
14 If $2^{x}=3^{y}=6^{-z}$, then $\left( \frac{1}{x}+\frac{1}{y}+\frac{1}{z}\right)$ is equal to? A) 0 B) 1 C) 3/2 D) -1/2