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 $5\sqrt{5}\times 5^{3}+5^{-\frac{3}{2}}$ $=5^{a+2}$, then the value of a is: A) 4 B) 5 C) 6 D) 8
10 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
12 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
13 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
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
15 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
