DELHI POLICE CONSTABLE QUANT QUIZ

Question 1:

The length of the altitudes of a triangle are $12 \mathrm{~cm}, 15 \mathrm{~cm}$ and $20 \mathrm{~cm}$ respectively. Find Inradius of the triangle.

$5 \mathrm{~cm} $

$4.2 \mathrm{~cm} $

$2.5 \mathrm{~cm} $

$3.2 \mathrm{~cm} $

Question 2:

Two partners Vineet and Deepak start a business by investing Rs. 25,000 and Rs. 15,000 respectively. What will be the ratio of their profits at the end of the year?

3: 5

2: 3

3: 2

5: 3

Question 3:

The vertices of a triangle PQR are respectively $(2,1),(5,2)$ and $(3,4)$. Then the circum centre of the triangle will be:

$\left(\frac{11}{4}, \frac{2}{4}\right)$

$\left(\frac{13}{4}, \frac{9}{4}\right)$

$\left(-\frac{13}{4}, \frac{-9}{4}\right)$

$\left(\frac{11}{4}, \frac{13}{4}\right)$

Question 4:

Find the circumference of a circle whose area is 1232 $\mathrm{m}^{2}$.

$74 \sqrt{2}$

$88 \sqrt{2}$

$78 \sqrt{2}$

$84 \sqrt{2}$

Question 5:

The average of first six numbers is 24 and the average of first five numbers is 20 . What is the value of the sixth number?

40

24

32

44

Question 6:

Salaries of $A, B$ and $C$ are in the ratio of $2:$ $3: 5$, respectively. If their salaries were increased by $15 \%, 10 \%$ and $20 \%$ respectively, what will be the new respective ratio of their salaries?

$3: 3: 10$

$23: 33: 60$

$10: 11: 20$

None of these

Question 7:

What value will come in place of the question mark (?) in the following question?

$5 \frac{1}{7}-\left\{3 \frac{3}{10} \div\left(2 \frac{4}{5}-\frac{7}{10}\right)\right\}=?$

$3 \frac{4}{5}$

$2 \frac{4}{7}$

$3 \frac{4}{7}$

$5 \frac{4}{7}$

Question 8:

The HCF of two numbers is 16 and their LCM is 160 . If one of the numbers is 32 , then the other number is.

48

80

96

112

Question 9:

If the number $x 486 y 51$ is divisible by 9 , then what is the value of $(x+y)^{2}$.

6

7

9

12

Question 10:

A supplier sells 24 chocolates at a marked price of 20 toffee to a retailer. The retailer in turn sells them at the marked price. what is the % profit or loss of the retailer.

Loss 20%

Profit 20%

Loss 25%

Profit 25%