DP HEAD CONSTABLE MINISTRIAL (QUANT)QUIZ

Question 1:

If $\tan \theta=\frac{1}{\sqrt{5}}, \operatorname{cosec}^{2} \theta=?$

5

$\sqrt{5}$

$\sqrt{6}$

6

Question 2:

A sum of money becomes 4 times at simple interest in 10 years. What is the rate of interest?

$20 \%$

$25 \%$

$30 \%$

$33 \frac{1}{3} \%$

Question 3:

A delivery boy started from his office at 10 a.m. to deliver an article. He rode his scooter at a speed of $32 \mathrm{~km} / \mathrm{h}$. He delivered the article and waited for 15 minutes to get the payment. After the payment was made, he reached his office at $11.25$ a.m., travelling at a speed of $24 \mathrm{~km} / \mathrm{h}$. Find the total distance travelled by the boy.

$32 \mathrm{~km}$

$30 \mathrm{~km}$

$35 \mathrm{~km}$

$40 \mathrm{~km}$

Question 4:

An athlete runs a $800 \mathrm{~m}$ race in 96 seconds. His speed (in $\mathrm{km} / \mathrm{h}$ ) is:

$40 \mathrm{~km} / \mathrm{h}$

$20 \mathrm{~km} / \mathrm{h}$

$25 \mathrm{~km} / \mathrm{h}$

$30 \mathrm{~km} / \mathrm{h}$

Question 5:

20 women can do a piece of work in 15 days while 16 men can do the same work in 15 days then find the ratio of efficiency of men to women.

4:5

5:4

3:5

5:3

Question 6:

A person bought an article at 2500 Rs and sold it in 2375 Rs, then find the profit or loss $\%$.

$5\%$

$10\%$

$8\%$

$7\%$

Question 7:

The income of A is 40% more than the income of B, and the income of C is 65 % less than the income of B. By what percentage is C's income less than that of A's?

70 %

33.3 %

72 %

75 %

Question 8:

If $x+y=15$ and $x y=45$, then what is the value of $x^{2}+y^{2}$?

170

135

225

240

Question 9:

If the edge of a cube $8 \mathrm{~cm}$ then the total surface area of the cube .

$324 \mathrm{~cm}^{2}$

$332 \mathrm{~cm}^{2}$

$464 \mathrm{~cm}^{2}$

$384 \mathrm{~cm}^{2}$

Question 10:

If the perimeter of a certain rectangle is 50 units and its area is 150 units², then how many units is the length of its bigger side?

15

10

20

25