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For the following questions answer them individually
If A = {1, 2, 3, 4, 5, 6, 7, 8}, then the number of subsets of A containing 5, 6 and 7 is
For three sets A, B and C, if n(A) = 20, n(B - A) = 16 and
n( C - (A $$\cup$$ B)) = 24, then n(A $$\cup$$ B $$\cup$$ C) =
(n(A) denotes the number of elements in A )
$$a + b = 5 \Rightarrow a^{3} + b^{3} + 15ab $$=
If $$ax + b$$ is added to the polynomial $$4x^{4} + 2x^{3} - 2x^{2} + x - 1$$, then it is divisible by $$x^{2} + 2x - 3$$. The value of 2a + b =
lf $$x^{3} + 10x^{2} + ax + b$$ is exactly divisible by $$x + 1$$ as well as $$x - 1$$, then (a, b) =
The remainders when the polynomial $$f(x)$$ is divided by $$(x - 2)$$ and $$(x - 3)$$ are 6 and 4 respectively. Then the remainder of $$f(x)$$ when divided by $$(x^{2} - 5x + 6)$$ is
The sum of a two digit number and the number obtained by revising the order of its digits is 121 and the digits differ by 3. Then the number is
If $$\frac{48}{x+y}-\frac{6}{x-y} =10$$ and $$\frac{15}{x+y}+\frac{4}{x-y} =9$$, then $$(x,y)=$$
$$\sqrt{(x^{2} - 2x - 15)(x^{2} - 5x - 24)(x^{2} - 13x + 40)}$$=
The interior angles of a regular polygon are in Arithmetic Progression. The smallest angle of the polygon is $$120^{\circ}$$ and the difference of consecutive angles is $$5^{\circ}$$. Then the number of sides of the polygon is
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