SSC CGL MATHS QUIZ-35

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Question 1:

A can finish a piece of work in 48 days and B can finish it in 60 days. They work together for 12 days and then A goes away. In how much time (in days and hours) will B finish 25% of the remaining work?

Question 2:

$\mathrm{PQ}$ and $\mathrm{PR}$ are tangents to a circle and $\mathrm{QR}$ is a chord, $\mathrm{PQ}=41 \mathrm{~cm}$ and $\mathrm{QR}=18 \mathrm{~cm}$, then find diameter of the circle.

Question 3:

Compound interest on a sum for 2 years at $14 \frac{2}{7} \%$ is Rs 3150 , the simple interest on the same sum at the same rate for 3 years of time is - (in Rupess)

Question 4:

If $\cos \theta=\frac{4}{5}$, then the value of $\frac{\operatorname{cosec} \theta}{1+\cot \theta}$ is:

Question 5:

The side ST of $\triangle \mathrm{RST}$ is produced to $\mathrm{P}$. If $\angle R T P=133^{\circ}$ and $\angle S=\frac{8}{11} \angle R$ , then the measure of $\angle R$ is

Question 6:

If $\frac{4 p}{p^{2}-4 p+4}=\frac{1}{4}(p \neq 0)$, then find $p^{2}+\frac{16}{p^{2}}$ 

Question 7:

The population of a town is $3,11,250 .$ The ratio between women and men is $43: 40$. If there are $24 \%$ literate among men and $8 \%$ literate among women, the total number of literate persons in the town is:

Question 8:

If a man walks at speed of $10 \mathrm{~km} / \mathrm{hr}$, he misses a train by 6 minutes. However, if he increases his speed by $1 \mathrm{~km} / \mathrm{hr}$, from the start, he reaches the station 9 minutes earlier than the train. The distance covered by the man to reach the station is ____$\mathrm{km}$.

Question 9:

When selling a TV at Rs. 750 the profit gained is $33.33 \%$ more than the loss occurs when it is sold at Rs. $400 .$ Find out the selling price when it is sold at $20 \%$ profit.

Question 10:

At $18 \%$ per annum certain sum yields interest Rs. 8,100 in 3 years. At what percent per annum same sum yields interest Rs.37,500 in 8 years?