DELHI POLICE CONSTABLE QUANT QUIZ

A tank has two pipes. The first pipe can fill it in 5 hours and second can empty it in 20 hours. If two pipes be opened together at a time then the tank will be filled in -

$40 \%$ of half of $x$ is equal to $2.5$ times the value of $20 \%$ of one-third of $y$ then $x$ is what percent more or less than $y$.

Two train running in opposite directions on parallel track at speeds of $42 \mathrm{~km} / \mathrm{h}$ and $57 \mathrm{~km} / \mathrm{h}$, take $18 \mathrm{sec}$ to cross each other. If the length of the one train is $360$ m, then the length(in meter) of the other train is:-

A rectangular lawn of length $40 \mathrm{~m}$ and breadth $25 \mathrm{~m}$ is to be surrounded externally by a path which is $3 \mathrm{~m}$ wide. Find the cost of making the path at the rate of Rs.20 per $\mathrm{m}^{2}$.

My age is thrice of my son's age. After 5 years my age will become $2 \frac{1}{2}$ times of my son's age. My age is ?

If a 10-digit number 5432y1749x is divisible by 72 , then what is the value of $(5 x-4 y)$ ?

If $a-b=12$ and $a b=50$ then the value of $(a+$ b) $^{2}$ ?

A man buys two fans for a total cost of Rs.2700. By selling one at $\frac{4}{5}$ of its cost and the other at $\frac{5}{4}$ of its cost, he gains Rs. 135 on the whole transaction. The cost of the cheaper fan is: (in rupees).

The area of a circular field is equal to the area of a rectangular field. The ratio of length and breadth of the rectangular field is 17:13 respectively and the perimeter is 120 meters. What is the diameter of the circular field?