AILET entrance exam Question Bank Solutions for Mathematics

(a + b)² - (a - b)² is equal to

(a + b)² + (a - b)² is equal to

A³ - 3ab(a - b) - b³ is equal to

If a + b = 5 and a - b = √17 then value of ab should be

In expressions ax + by and 8x - 4y, a, b, 8 and 4 are

If a + b = 5 and a - b = 3 then value of ab should be

In expressions ax + by and 8x - 4y, x and y are

Factorization of a(a - b + c) - bc is equal to

Factorization of x³ + 8 is equal to

Factorization of x4 + 4 is equal to

Set of all ordered pair (x, y) which satisfies system of equations is called

In a tour, I spent every day as many ten-rupee notes as the number of days I had been away from the home. My total expenditure was 18,300. How long did I stay away from home?

Sonam has a rectangular garden. If the length of the garden is reduced by 5 m and breadth is increased by 3 m, then the area of the garden gets reduced by 9 m2. However, if we increase the length by 3 m and breadth by 2 m, the area is increased by 67 m2. What is the length of the garden?