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For the following questions answer them individually
If A = {3, 4, 5, 6, 7, 8, 9}, then the number of subsets of A not containing 6 is
For two sets A and B, if
$$n(A - B) = 14, n(B - A) = 16, n(A \cup B) = 40$$, then $$n(A \cap B)$$ =
If one of the roots of the cubic equation $$x^{3} + ax^{2} + bx + c = 0$$ is -1 , then
the product of the other two roots is
Suppose $$\alpha$$ and $$\beta$$, are the zeros of the polynomial
$$f(x) = x^{2} - 6x + k$$. Then the value of k, such that $$\alpha^{2} + \beta^{2} = 40$$ is
If $$x^{3} - 4x^{2} + ax + b$$ is exactly divisible by both $$x - 2$$ and $$x + 1$$, then (a, b) =
If the integer n is divided by 3, the remainder is 2. Then, the remainder when 7n is divided by 3 is
A person bought 29 postal stamps of Rs.5 and Rs.10 by paying Rs.200. The difference between the number of stamps be bought with that money is
Six years ago, the age of a person was two years more than five times, the age of his son. Four years hence, his age will be two years less than three times the age of his son. After how many years from now will their combined age be 100 years?
If $$z^{x} = 4^{Y} = 16^{z}$$ and $$xyz = 1728$$, then $$5x + 3y + 2z$$ =
The sum of the first n terms of a sequence is given by $$5n^{2} + 2n$$. Then the $$10^{th}$$ term of this sequence is
