Olympiad/HOTS corner

Which of the following statements is correct?

Tarun studies for $6\frac{1}{4}$ hours daily. He devotes $1\frac{3}{4}$ hours of his time for Science and Sanskrit. How much time does he devote for other subjects?

How many $\frac{1}{4}$ are there in $22\frac{1}{2}$?

Read the following statements carefully.

(1) $48.95-32.006=16.944$

(2) $4+4.44+0.4+44.04=52.87$

(3) $101\frac{27}{100000}=\frac{10100027}{100000}=101.00027$

Which of the given statements is/are correct?

Mr. Sharma earns $₹ 64000$ per month. He gave $\frac{2}{5}$ of his salary to his son and $\frac{5}{8}$ of the remaining to his daughter and the rest to his wife. Find the share of his wife.

Evaluate: $\frac{\left(1÷\frac{2}{9}\right)-\left[2\frac{1}{2}-1\frac{1}{2}-\left(\frac{-1}{3}\right)\right] }{\left(1÷3\frac{1}{5}\right)+\left(1÷2\frac{2}{3}\right)}$

In a hall, $\frac{1}{3}$ of the people were females and $\frac{1}{2}$ of those females were school girls. If the total number of people were $600$ , then how many school girls were there in the hall?

A car covers $14.4 \mathrm{km}$ in $1.2 \mathrm{hours}$. What is the average distance covered by it in $1 \mathrm{hour}$?