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For the following questions answer them individually
If A is the set of all positive integers greater than 1 and less than 45 that are coprime to 45, then the number of elements in A is
If $$f(x) = 3x^{2} + 7x + 6, g(x) = 4x - 7$$ and $$h(x) = 5 f(x) + x . g(x) + 4$$, then h(5) =
If $$27x^{3} - 54x^{2} + 36x - 8 = 0$$, then $$(x^{2} + \frac{1}{x^{2}}) + 4(x +\frac{1}{x}) + 3$$ =
llf $$ax + b$$ is the remainder when the polynomial $$14x^{3} + 61x^{2} + 77x + 30$$ is divided by $$7x^{2} + 13x + 6$$, then 3a + 4b =
If $$px^{2} + qx + r$$ is exactly divisible by $$x^{2} - 3x + 2$$ and leaves remainder 6 when divided by $$x + 1$$ then p - q + 2r =
The number of common solutions of the equations
$$3x - 2y + 7 = 0, 4y - 6x + 17 = 0$$ is
If $$\frac{3x+2y}{xy} = \frac{7}{5}$$ and $$\frac{2x+5y}{xy} = \frac{5}{3}$$, then $$x^{2} y$$ =
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