When the decimal point of a certain positive decimal number is moved two places to the right, the new number is two times the sum of the original number and the reciprocal of the original number. The product of $42$ and the original number is

 

How many more unit squares in the figure must be shaded so that the fraction of unshaded squares becomes $\frac{2}{5}$ ?

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.

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?

Calculate the perimeter of the figure given below.

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