Secondary School (English Medium) (5 to 8) कक्षा ८ - CBSE Question Bank Solutions

Find the squares of the following numbers using column method. Verify the result by finding the square using the usual multiplication: 

71 

Given that the number \[\overline{{35\alpha64}}\] is divisible by 3, where α is a digit, what are the possible values of α?

If x is a digit such that the number \[\overline{{18x71}}\] is divisible by 3, find possible values of x.

If x is a digit of the number \[\overline {{66784x}}\] such that it is divisible by 9, find possible values of x.

Given that the number \[\overline{{67y19}}\] is divisible by 9, where y is a digit, what are the possible values of y?

Which of the following statement is true?
If a number is divisible by 3, it must be divisible by 9.

Which of the following statement is true?
If a number is divisible by 9, it must be divisible by 3.

Find the square root of each of the following by prime factorization. 

441 

Find the square root the following by prime factorization. 

 196 

Find each of the following product:
5x² × 4x³

Find the square root  the following by prime factorization. 

529 

Find each of the following product:
−3a² × 4b⁴

Find each of the following product:
(−5xy) × (−3x²yz)

Find each of the following product: 

\[\frac{1}{4}xy \times \frac{2}{3} x^2 y z^2\]

Find the square root  the following by prime factorization. 

 1764 

Find each of the following product: 

\[\left( - \frac{7}{5}x y^2 z \right) \times \left( \frac{13}{3} x^2 y z^2 \right)\]

Find each of the following product: \[\left( \frac{- 24}{25} x^3 z \right) \times \left( - \frac{15}{16}x z^2 y \right)\]

Find the square root the following by prime factorization. 

1156