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Basic of Mathematics question bank (Maths)

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Q1.

The number of integral solution $x$ of $\log_{(x + \frac{7}{2})} {(\frac{x - 7}{2 x - 3})}^{2} \geq 0$ is

(A)

7

(B)

8

(C)

6

(D)

5

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Q2.

Statement - 1: For every natural number $n \geq 2, \frac{1}{\sqrt{1}}+\frac{1}{\sqrt{2}}+\ldots+\frac{1}{\sqrt{n}}\gt \sqrt{n}$. Statement $-2$ : For every natural number $n \geq 2, \sqrt{n(n+1)} \lt n+1$.

(A)

Statement $-1$ is false, Statement $-2$ is true

(B)

Statement $-1$ is true, Statement $-2$ is true, Statement $-2$ is a correct explanation for Statement $-1$

(C)

Statement $-1$ is true, Statement $-2$ is true; Statement $-2$ is not a correct explanation for Statement $-1$.

(D)

Statement $-1$ is true, Statement $-2$ is false.

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