If (3a +6b +c +2d) x (3a - 6b - c +2d) = (3a - 6b +c- 2d) x (3a +6b - c- 2d), then which one of the following is correct ?

What is the largest power of 10 that divides the product 29×28×27 x...2×1?

If a, b, c, d, e and f satisfy 2a = 3b = 6c = 9d = 12e = 18f, then what is the value of (a + b)/(c + d + e + f)?

The age of Q exceeds the age of P by 3 years. The age of R is twice the age of P and the age of Q is twice the age of S. Further, the age difference of R and S is 30 years. What is the sum of the ages of P and Q?

For what values of m, is mx² + mx + x8 + 9 a perfect square?

If bc + cd = 2bd and a + c = 2b, then which one of the following is correct?

Given that

217x + 131y = 913

131x + 217y = 827

then x and y are respectively

If x^3 – y^3 = 117/8 and x – y = 3/2 then the value of x^2 + xy + y^2 will be

If x + (1/y) = 1 and y + (1/z) = 1, then the value of z + (1/x) is

Father is aged 3 times more than his son after 8 years, he would be two and half times of his son's age. after further 7 years, how many times would he be of his son's age?

Suppose n is an integer such that the sum of the digits of n is 2, and 10¹⁰ <n < 10¹¹, The number of different values for n is

What will be the constant term in the expansion of (x + 1/x)^6?

One fourth of the sum of the odd numbers greater than 14 but less than 50 is the square of -

5 equivalent vertical lines are drawn on a board. 5 equidistant horizontal lines are also drawn on the board cutting the 5 vertical lines and the distance between any two consecutive horizontal lines is equal to that between any two consecutive vertical lines. What is the maximum number of squares, thus formed?

If 2 is a zero of the polynomial p(x) = x³ + 3x² - 6x - a then what is the sum of the squares of the other zeros of the polynomial ?