DELHI POLICE CONSTABLE QUANT QUIZ

Question 1:

If $a^{3}+b^{3}=1728$ and $a+b=12$ then the value of $\sqrt{a b}$ ?

$\sqrt{\frac{52}{3}}$

$\sqrt{50}$

$\sqrt{40}$

$\sqrt{\frac{49}{3}}$

Question 2:

If $\frac{\sec \theta+\tan \theta}{\sec \theta-\tan \theta}=\frac{5}{3}$, then, find the value of ' $\sin \theta$ '.

$\frac{1}{4}$

$\frac{1}{3}$

$\frac{3}{2}$

$\frac{3}{4}$

Question 3:

If $A$ is $40 \%$ less than $B$ and $C$ is $40 \%$ of the sum of $A$ and $B$, then by what percentage is $B$ greater than $C$?

$60$ %

$40.125$ %

$56.25$ %

$36$ %

Question 4:

The average age of the mother and her six children is 12 years which is reduced by 5 years if the age of the mother is excluded. How old is the mother.

40 years

42 years

48 years

50 years

Question 5:

What is the square root of $15-4 \sqrt{14}$ ?

$2 \sqrt{2}-\sqrt{7}$

$3 \sqrt{2}-2 \sqrt{7}$

$\sqrt{15}-\sqrt{7}$

$\sqrt{5}-\sqrt{3}$

Question 6:

Find the compound interest on Rs. 6400 at 25% p.a. for 3 years.

Rs.6050

Rs.6150

Rs.6000

Rs.6100

Question 7:

If a train crosses a km-stone in 12 seconds, how long will it take to cross $91$st $\mathrm{~km}$-stones completely if its speed is $60 \mathrm{~km} / \mathrm{hr}$ ?

$1 \mathrm{hr} 30 \mathrm{~min}$

$1 \mathrm{hr} 30 \mathrm{~min} 12 \mathrm{sec}$

$1 \mathrm{hr} 51 \mathrm{~min}$

$1 \mathrm{hr} 1 \mathrm{~min} 3 \mathrm{sec}$

Question 8:

The $\mathrm{CP}$ of 20 articles is equal to the SP of 30 articles. What is the profit or loss percentage.

$33.33 \%$

$25.5 \%$

$10 \%$

$35 \%$

Question 9:

Simplify : 3x (x + 4) – x (x - 2)

$2 x^{2}+14 x$

$4 x^{2}-14 x$

$4 x^{2}+14 x$

$2 x^{2}-14 x$

Question 10:

A alone can do a piece of work in 24 days. The time taken by A in completing $\frac{1}{3}$ of the work is equal to the time taken by B in completing $\frac{1}{2}$ of the work. In what time will A and B together complete the work?

9 days

10 days

12 days

$\frac{48}{5}$ days