Question : The religious text of the Jews is named as

Option 1: The Analects

Option 2: Torah

Option 3: Tripitaka

Option 4: Zend-Avesta

Question : A triangle $\text{PQR}$ has three sides equal in measurement and if $\text{PM}$ is perpendicular to $\text{QR}$, then which of the following equality holds?

Option 1: $3 \text{PM}^2=2 \text{PQ}^2$

Option 2: $3 \text{PQ}^2=4 \text{PM}^2$

Option 3: $3 \text{PM}^2=4 \text{PQ}^2$

Option 4: $3 \text{PQ}^2=2 \text{PM}^2$

Question : If $x+y=4, x^{2}+y^{2}=14$ and $x>y$, then the correct value of $x$ and $y$ is:

Option 1: $2+\sqrt{3} \text{ and } 2-\sqrt{3}$

Option 2: $2-\sqrt{2} \text{ and } \sqrt{3}$

Option 3: $3 \text{ and } 1$

Option 4: $2+\sqrt{3} \text{ and } 2\sqrt{2}$

Question : The value of $\frac{3+8 \times 8 \div 8 \text { of } 8+7 \div 7 \times 2}{5 \div 5 \text { of } 4+3 \times 3 \div 3-3+2}$ is:

Option 1: $1 \frac{3}{5}$

Option 2: $2 \frac{2}{3}$

Option 3: $1 \frac{4}{7}$

Option 4: $2 \frac{3}{7}$

Question : The volume of a solid sphere is $4500 \pi \;cm^3$. The surface area of the solid sphere is:

Option 1: $700 \pi\; \text{cm}^2$

Option 2: $850 \pi\; \text{cm}^2$

Option 3: $900 \pi\; \text{cm}^2$

Option 4: $810 \pi\; \text{cm}^2$

Question : What is the value of $\frac{\frac{5}{3} \text { of } \frac{1}{4} \times \frac{24}{5}-\frac{1}{5} \text { of } \frac{25}{8} \times \frac{24}{5}}{\frac{5}{12} \text { of } \frac{3}{4} \times \frac{4}{3}+\frac{3}{4} \text { of } \frac{12}{5} \times \frac{5}{6}}$?

Option 1: $-\frac{24}{23}$

Option 2: $-\frac{12}{23}$

Option 3: $-\frac{25}{46}$

Option 4: $-\frac{28}{23}$