DELHI POLICE CONSTABLE QUANT QUIZ

Question 1:

There are 66 students in a class. Average mark obtained by boys is 57 and average mark obtained by girls is $63 .$ If average marks of obtained by the class is 58, find difference of number of boys and number of girls.

36

44

48

33

Question 2:

The surface area (in sq. cm.) of a sphere with radius $1 \mathrm{~cm}$ is (take $\pi=22 / 7$ )

$89 / 7$

$89 / 21$

$88 / 21$

$88 / 7$

Question 3:

If $5 a+\frac{1}{3 a}=5$, then the value of $9 a^{2}+\frac{1}{25 a^{2}}$ is:

$\frac{51}{5}$

$\frac{29}{5}$

$\frac{52}{5}$

$\frac{39}{5}$

Question 4:

The value of $\left(\tan ^{2} A+\cot ^{2} A-2\right)-\sec ^{2} A \operatorname{cosec}^{2} A$ is:

$-4$

$-1$

$1$

$4$

Question 5:

3 men dig a hole in 10 days. How many days would it take for 5 men to dig the same hole?

50 / 3

7

5

6

Question 6:

If $x-y=9$ and $x^{3}-y^{3}=360$, then the value of $x y$ ?

$-\frac{47}{3}$

$-\frac{40}{3}$

$-\frac{38}{3}$

$-\frac{41}{3}$

Question 7:

Find the compound interest on Rs.15, 625 for 9 months at $16 \%$ per annum compounded quarterly.

Rs. 1760

Rs. 1800

Rs. 1500

Rs. 1951

Question 8:

Find the HCF of 865 and 2595.

25

2525

865

5

Question 9:

There are total 200 students in a school, of which $\frac{1}{5}$ th are boys. Find the number of girls in the school.

160

16

140

40

Question 10:

What is the value of $14^{2}+16^{2}+18^{2} \ldots \ldots \ldots . .30^{2} ?$

4448

4596

3296

5134