UPTET 2016 (Paper 2 - Maths & Science ) Previous Year Paper (2016)

A man and his wife appear for an interview for two posts. The probability of the husband’s selection is $\frac{1}{7}$ and that of the wife’s selection is $\frac{1}{5}$. What is the probability that only one of them will be selected?

Find the value of $\frac{5^{n+3}-6\times 5^{n+1}}{9\times 5^n-2^2\times 5^n}$

The expression $\frac{5}{\sqrt{9+\sqrt{45}}+\sqrt{9-\sqrt{45}}}$ is equal to

A man buys two books for a total of Rs. $410$ and sells both at the exact same price. One gives him a profit of $15\%$ and another a loss of $10\%$. The cost price of both books is

Which of the following statements is true ?