Algebraic Expressions and Identities Test - 12

The Polynomial, p²+ 2q − q² + r²− 1 − 2 pr on factorization gives _____

The dimensions of a rectangular box are represented as  (a + 2b) (a²+ 4b²)  and (a - 2b) then what will be the volume of the rectangular box?

Divide 84 into two parts such that (4/17)^th of one part is equal to other part. Find the product of both the parts.

In a fraction, if both the numerator and denominator are decreased by thrice, it is equal to 2/5 . If the numerator is increased by 3 and denominator is increased by 2, the fraction becomes 2/3 . Find the fraction.

The sum of the digits of a two digit number is 9. If 27 is subtracted from the number, the resultant number becomes the number obtained on reversing the digits of the original number Find the original number.

The sum of three consecutive even numbers is 330, then find 3/4 th of the greatest number

If the side of a chess board is smaller than its perimeter by 42 cm then find the area of the chess board.

Cost of two chairs and three tables is Rs 3320, while the cost of one chair and two tables is Rs Rs 2020. Find the cost of each chair.