The square root of $103$ up to three places of decimal is _____

A number is multiplied by half of itself and then $32$ is added to the product. If the final result is $130$, then find the original number.

From a rectangular sheet of paper of area $4672 sq. cm$, a square is separated and the remainder is a rectangle of area $576 sq. cm$. Find the approximate length of a diagonal of the initial rectangle.

A certain number of men went to a hotel. Each of them spent as many rupees as one-fourth of the men. If the total bill paid was $₹20,449$, then how many men visited the hotel?

Find the divisor, given that the dividend is $2200$, remainder is $13$ and the divisor is one-third of the quotient.

The least positive integer with which $3125$ should be multiplied so that the product is a perfect square is _____

A number is multiplied by $2\frac{1}{3}$ times itself and then $61$ is subtracted from the product obtained. If the final result is $9200$, then the number is _____

The units digit of square of a number and the units digit of cube of the number are equal to the units digit of the number. How many values are possible for the units digits of such numbers?

What should be added to $2714$ to make the sum a perfect cube?