Q13 of 67 Page 168

What are the remainders when a perfect cube is divided by 7?

Let us find the remainder by dividing each cube by 7.

Hence, the possible remainders are 0, 1, and 6.

Suppose the area of a square field is 7396 m². Find its perimeter.

Can 1010 be written as a difference of two perfect squares? [Hint: How many times 2 occurs as a factor of 1010?]

What is the least perfect square which leaves the remainder 1 when divided by 7 as well as by 11?

Find two smallest perfect squares whose product is a perfect cube.

Questions · 67

5. Squares, Square-Roots, Cubes and Cube-Roots

1 2 3 4 5 1 2 3 4 1 1 1 1 2 3 1 1 1 1 1 2 2 2 2 2 2 3 4 5 1 2 3 1 2 3 4 5 6 1 1 1 1 1 2 2 2 3 1 2 2 2 2 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16