SSC CGL MATHS QUIZ-33

Question 1:

Alloy A contains metals $\mathrm{X}$ and $\mathrm{Y}$ only in the ratio $3: 8$ and alloy B contains these metals in the ratio $4: 3 .$ In what ratio alloy $\mathrm{A}$ and alloy B should be mixed to get alloy $\mathrm{C}$ in the ratio of $9: 13$ :

$21: 25$

$15: 7$

$25: 21$

$7: 15$

Question 2:

If $\sqrt{x}+\frac{1}{\sqrt{x}}=\sqrt{19}$, then value of $x \sqrt{x}+\frac{1}{x \sqrt{x}}$ ?

$22 \sqrt{19}$

$16 \sqrt{19}$

$21\sqrt{19}$

$23\sqrt{19}$

Question 3:

A person bought 324 books for Rs. 67 each. He sold 144 of them at a loss of $9 \%$. At what percent profit should he sell the remaining books so that he gains $11 \%$ in the entire transaction?

$30 \%$

$25 \%$

$16 \%$

$27 \%$

Question 4:

The volumes of spheres $A$ and $B$ are in the ratio $125: 64 $ if the sum of radius of $A$ and $B$ is $36 \mathrm{~cm}$, then the surface area (in $\mathrm{cm}^{2}$ ) of $A$ is?

$1200 \pi$

$1500 \pi$

$800 \pi$

$1600 \pi$

Question 5:

Two numbers are in the ratio $4: 7 .$ If 12 is subtracted from both then the ratio becomes $8: 17$. If 9 is added to each of the original numbers, then the ratio becomes:

$5: 8$

$3: 5$

$9: 7$

$5: 6$

Question 6:

The Cost Price of 10 mangoes is equal to the Selling Price of 8 mangoes. The SP of apples per piece is the cost price of a mango. If the profit % made on selling an apple is $\frac{5}{3}$ of that of selling a mango, then what is the cost price of an apple if the selling price of one mango is $x$ ?

$\frac{3 x}{5}$

$\frac{5}{3 x}$

$33 \frac{1}{2}$

$33 \frac{3 x}{5}$

Question 7:

The value of $\sqrt{\cos 60^{\circ} \cos 30^{\circ}-\sin 60^{\circ} \sin 30^{\circ}}$?

$0$

$\frac{3}{2}$

$1$

$\frac{1}{2}$

Question 8:

Two circles each of radius $36 \mathrm{~cm}$ are intersecting each other such that each circle is passing through the centre of the other circle. What is the length of the common chord to the two circles?

$24 \sqrt{3} \mathrm{~cm}$

$18 \sqrt{3} \mathrm{~cm}$

$36 \sqrt{3} \mathrm{~cm}$

$12 \sqrt{3} \mathrm{~cm}$

Question 9:

Two trains of same length but different speeds passes a pole in $5 \mathrm{sec}$ and $6 \mathrm{sec}$ respectively. In what time will they cross each other if they are moving in same direction? (in seconds)

$\frac{60}{11}$

30

11

60

Question 10:

The run rate in the first 10 overs of a cricket match was only $7.2$. What should be the average run rate in the remaining 40 overs to chase the target of 272 runs?

7

4

6

5