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Question 1:

$52 \div[36-\{24-(32-54 \div 9 \times 3)\}]=?$

Question 2:

12 women can complete a work in 64 day, then find how many women will be required to complete 2/3 rd of the same work in 16 days?

Question 3:

The value of $\sec ^{2} 12^{\circ}-\frac{1}{\tan ^{2} 78^{\circ}}$ is:

Question 4:

A train travels $600 \mathrm{~km}$ in 5 hours and the next $900 \mathrm{~km}$ in 10 hours. What is the average speed of the train?

Question 5:

If the roots $\alpha$ and $\beta$ of the equation $a x^{2}+2 b x+c=0$ then find the value $\sqrt{\frac{\alpha}{\beta}}+\sqrt{\frac{\beta}{\alpha}}$

Question 6:

In a recent survey $40 \%$ houses contained 2 or more people. Of those houses containing only one person, $25 \%$ were having only a male. What is the percentage off all houses which contain exactly one female and no males (Assume that each house contains at least 1 person)

Question 7:

In $\triangle \mathrm{PQR}, \angle \mathrm{P}$ is $50^{\circ}$ and $\angle \mathrm{Q}$ is $20^{\circ}$ more than $\angle \mathrm{R}$ then find the measure of $\angle Q$.

Question 8:

Find the distance between the points $(7 \mathrm{k}+$ $2,5-3 \mathrm{k})$ and $(-3+7 \mathrm{k},-7-3 \mathrm{k})$

Question 9:

The diameter of a roller is $84 \mathrm{~cm}$ and its length is $120 \mathrm{~cm}$. It takes 500 complete revolutions to move once over to level a playground. Find the area of the playground in $m^{2}$ ? [Assume $\pi=\frac{22}{7}$ ]

Question 10:

A sphere of radius $10 \mathrm{~cm}$ is melted and made into a cone of height $10 \mathrm{~cm}$. Find the diameter of the cone.