DELHI POLICE QUANT QUIZ-6

An amount of Rs. 14,000 is invested at the rate of $20 \%$ compounded annually for 2 years. Find the sum received after 2 years.

If $27^{2 x-1}=(243)^{3}$ then the value of $x$ is :

Three friends A, B and C distributed Rs. 6720 in such a way that A may get $\frac{1}{3}$ as much as $\mathrm{B}$ and $\mathrm{C}$ together get, B may get $\frac{2}{5}$ as much as A and C together. Find the difference between the amount of $\mathrm{A}$ and $\mathrm{C}$.

Suppose the angle of elevation of the top of a tree at a point $\mathrm{E}$ due to East of the tree is $60^{\circ}$ and that at a point $\mathrm{F}$ due to West of the tree is $30^{\circ}$. If the distance between the points $\mathrm{E}$ and $\mathrm{F}$ is $160 \mathrm{ft}$, then what is the height of the tree?

The difference between the numbers obtained by adding $8\%$ to a number and subtracting $3\%$ is 407. The original number is-

The average of twelve numbers is 38 . The average of the first three numbers is 33 , that of the next four numbers is $35 \frac{1}{2}$, and that of the next two numbers is 40 . If the tenth number is less than the eleventh and twelfth numbers by 4 and 5 , respectively, then the twelfth number is:

What principal will amount to Rs. 2028 in 2 years at $4\%$ p.a compound interest?

A rectangular lawn of length $30 \mathrm{~m}$ and breadth $15 \mathrm{~m}$ 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 $\mathrm{m}^{2}$.

Two cars $\mathrm{A}$ and $\mathrm{B}$ travel from one city to another city at speed of $30 \mathrm{~km} / \mathrm{h}$ and $54 \mathrm{~km} /$ h respectively. If B can takes 2 hour lesser time than car A for the journey, then what is the distance (in $\mathrm{km}$ ) between two cities.

A can do $30 \%$ of a work in 9 days, where as B can do $40 \%$ of the same work in 16 days. Both worked together for $7 \frac{2}{7}$ days and the remaining work is completed by $\mathrm{C}$ in 23 days. A, B and C together can do the work in how many days?