M L Aggarwal Solutions for Chapter: Squares and Square Roots, Exercise 1: Exercise

Find the smallest square number that is divisible by each of the following numbers: $4, 7, 8, 16$

$4225$ plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows. Find the number of rows and the number of plants in each row.

The area of a rectangle is $1936 \mathrm{sq}. \mathrm{m}$. If the length of the rectangle is $4$ times its breadth, find the dimensions of the rectangle.

In a school a P.T. teacher wants to arrange $2000$ students in the form of rows and columns for P.T. display. If the number of rows is equal to number of columns and $64$ students could not be accommodated in this arrangement. Find the number of rows.

In a school, the students of class $\mathrm{VIII}$ collected $₹2304$ for a picnic. Each student contributed as many rupees as the number of students in the class. Find the number of students in the class.

The product of two numbers is $7260$. If one number is $15$ times the other number, find the numbers.

Find three positive numbers in the ratio $2:3:5,$ the sum of whose squares is $950$.

The perimeters of two squares are $60 \mathrm{metres}$ and $144 \mathrm{metres}$, respectively. Find the perimeter of another square equal in area to the sum of the first two squares.