SSC CGL MATHS QUIZ-41

Pipe $\mathrm{X}$ can fill an empty tank in 12 hours and pipe $\mathrm{Y}$ in 16 hours. If both pipes opened together for 2 hours in how much time $\mathrm{Y}$ will take to fill the remaining tank.

A sum of Rs. 12,300 amounts to Rs. 17,835 in 3 years at a certain rate per cent per annum simple interest. The same sum will amount to what in 1 year at the same rate, if the interest is compounded half yearly (nearest to Rs. )?

If $\tan \theta \cdot \cos 60^{\circ}=\frac{\sqrt{3}}{2}$, then the value of $\sin \left(\theta-15^{\circ}\right)$ is:

In 2 years at simple Interest the Principal increases by $12 \%$. what will be the compound interest earned (in Rs.) on Rs 90,000 in 2 years at same rate?

Aakash bought a mobile set at $27 \%$ discount on the marked price. Had he bought it with $34 \%$ discount, he would have saved Rs. $867.44$. At what price did he buy the mobile set? (in Rupees)

In an examination, a student gets $40 \%$ marks, which is 40 marks more than the pass marks. Another student gets $20 \%$ marks and fails by 50 marks. Find the minimum marks required to pass the exam?

The circumcenter of a triangle $\mathrm{ABC}$ is $\mathrm{O}$ and value of angle subtended at the center $\angle \mathrm{BOC}$ is $110^{\circ}$. If value of $\angle \mathrm{ABC}$ is $80^{\circ}$, then find the value of $\angle \mathrm{CAO}$ ?

A batsman has a certain average in 48 innings. In the next two innings he scored with an average of 70 thereby increasing his overall average by $\frac{4}{5}$ run. What is his average after 50 innings?

$\triangle \mathrm{ABC}$ and $\Delta \mathrm{DEF}$ are similar and their areas be respectively $64 \mathrm{~cm}^{2}$ and $121 \mathrm{~cm}^{2} .$ If $\mathrm{EF}=15.4$ $\mathrm{cm}$, then $\mathrm{BC}$ is:

The average of three numbers is 135 . The largest number is 195 and the difference between the other two is 20 . The smallest number is