CGL MAINS SCORE BOOSTER QUANT QUIZ-13

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Question 1:

The present population of a village (males and females) is 7640. If the number of males increases by 25% and the number of females increases by 15%, then the population will become 9214. The difference between the present population of males and females in the village is:

Question 2:

A sum of money at compound Interest amounts to $3 \sqrt{3}$ times itself in 5 years. In how many years will it be 27 times itself.

Question 3:

$A$ and $B$ are $24   \mathrm{kms}$ apart. when travelling towards each other they meet after 40 minutes, while travelling in the same direction they meet in $1 \frac{1}{3} \mathrm{hrs}$. What is the speed of the slower person among the two? (in km/hr)

Question 4:

If $x$ is added to each of the number 16,19 , 64 and 75 the numbers so formed are in proportion. Find the mean proportion of $(7 x$ +2) and  $ (5 x-1)$

Question 5:

A hollow cylinder is made up of metal. The difference between outer and inner curved area of this cylinder is $352 \mathrm{~cm}^{2}$. Height of the cylinder is $28 \mathrm{~cm}$. If the total surface area of this hollow cylinder is $2640 \mathrm{~cm}^{2}$, then what is the sum of inner and outer radius?

Question 6:

$\mathrm{ABCD}$ is a cyclic quadrilateral. Diagonals BD and AC intersect each other at $\mathrm{E} .$ If $\angle \mathrm{BEC}=$ $123^{\circ}$ and $\angle \mathrm{ECD}=32^{\circ}$, then what is the measure of $\angle \mathrm{BAC} ?$

Question 7:

If $\ x=\frac{\sqrt{5}-\sqrt{3}}{\sqrt{5}+\sqrt{3}}$ and $y=\frac{\sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}}$ then find the value of $\frac{x^{2}+x y+y^{2}}{x^{2}-x y+y^{2}}$?

Question 8:

In the given figure, perimeter of $\Delta \mathrm{ABC}$ is 32 $\mathrm{cm}$. Then find the value of $\mathrm{AE}$ ?

Question 9:

If $2 \cos \theta+\sin \theta=1$, then find the value of $9 \cos \theta+2 \sin \theta$?

Question 10:

A godown measures $60 \mathrm{~m} \times 25 \mathrm{~m} \times 10 \mathrm{~m}$. Find the maximum number of wooden crates each measuring $1.5 \mathrm{~m} \times 1.25 \mathrm{~m} \times 0.5 \mathrm{~m}$ that can be stored in the godown.