Question : If $m^n=169$, what is the value of $(m+1)^{n-1}$?
Option 1: 14
Option 2: 13
Option 3: 196
Option 4: 170
Correct Answer: 14
Solution : Given: $m^n=169$ ⇒ $m^n=13^2$ So, $m=13, n=2$ Now, $(m+1)^{n-1}$ = $(13+1)^{2-1}$ = $(14)^{1}$ = $14$ Hence, the correct answer is 14.
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Question : The value of $\frac{(m^2+n^2)(m-n)-(m-n)^3}{(m^2 n-m n^2)}$ is:
Option 1: $m + n$
Option 2: $m - n$
Option 3: $2$
Option 4: $\frac{m}{n}$
Question : If $N=\frac{(\sqrt7-\sqrt3)}{(\sqrt7+\sqrt3)}$, then what is the value of $(N+\frac{1}{N})$?
Option 1: $2\sqrt2$
Option 2: $5$
Option 3: $10$
Option 4: $13$
Question : What is the simplified value of $\left(1-\frac{1}{4-\frac{2}{1+\frac{1}{\frac{1}{3}+2}}}\right) \times \frac{15}{16} \div \frac{2}{3}$ of $2 \frac{1}{4}-\frac{3+4}{3^3+4^3}$
Option 1: $\frac{5}{13}$
Option 2: $\frac{4}{13}$
Option 3: $\frac{8}{13}$
Option 4: $\frac{6}{13}$
Question : What is the dimension of the kabaddi playing field for men?
Option 1: 14 m × 10 m
Option 2: 14 m × 8 m
Option 3: 12.50 m × 10 m
Option 4: 13 m × 10 m
Question : If the value of $\operatorname{cosec} A + \cot A = m$, then the value of $\operatorname{cosec} A - \cot A$ is:
Option 1: $\frac{1}m$
Option 2: $m$
Option 3: $\sqrt{m}$
Option 4: $m^2$
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