Secondary School (English Medium) (5 to 8) इयत्ता ८ - CBSE Question Bank Solutions for Mathematics

Given an example of a number which is divisible by 4 but not by 8.

Given an example of a number which is divisible by both 4 and 8 but not by 32.

Which of the following statement is true?
If a number is divisible by 4, it must be divisible by 8.

Which of the following statement is true?
If a number is divisible by 8, it must be divisible by 4.

Which of the following statement is true?
A number is divisible by 18, if it is divisible by both 3 and 6.

Which of the following statement is true?
If a number is divisible by both 9 and 10, it must be divisible by 90.

Which of the following statement is true?
If a number exactly divides the sum of two numbers, it must exactly divide the numbers separately.

Which of the following statement is true?
If a number divides three numbers exactly, it must divide their sum exactly.

Which of the following statement is true?
If two numbers are co-prime, at least one of them must be a prime number.

Which of the following statement is true?
The sum of two consecutive odd numbers is always divisible by 4.

Find the greatest common factor of the terms in each of the following expression:
5a⁴ + 10a³ − 15a²

Find the greatest common factor of the terms in each of the following expression:
2xyz + 3x²y + 4y²

Find the greatest common factor of the terms in each of the following expression:
3a²b² + 4b²c² + 12a²b²c²

Factorize each of the following algebraic expressions:
6x(2x − y) + 7y(2x − y)

Find the least number which must be subtracted from the following numbers to make them a perfect square: 

 2361

Factorize each of the following algebraic expressions:
2r(y − x) + s(x − y)

Factorize each of the following algebraic expressions:
7a(2x − 3) + 3b(2x − 3)

Factorize each of the following algebraic expressions:
9a(6a − 5b) −12a²(6a − 5b)

Factorize each of the following algebraic expressions:
5(x − 2y)² + 3(x − 2y)

Factorize each of the following algebraic expressions:
16(2l − 3m)² −12(3m − 2l)