SSC CPO QUANT QUIZ-8

Attempt now to get your rank among 27 students!

Question 1:

What will be the simple interest on a sum of Rs 2000 at the rate of $8.25\%$ per annum from 7 february 2022 to 20 april 2022?

Question 2:

If $x^{2}-8 x+1=0$, then the value of $x^{4}+\frac{1}{x^{4}}$ is:

Question 3:

If $x: 4:: y: 5$, then $x: y$ will be :

Question 4:

A and B two pipes can fill a tank in 24 hours and 48 hours, respectively. If both pipes are opened simultaneously, how much time will it take to fill the tank?

Question 5:

If varun goes to his school at the speed of 30 $\mathrm{km} / \mathrm{h}$. He reaches 1 hour early and if he travels at the speed of $25 \mathrm{~km} / \mathrm{h}$ he reaches 30 minutes early. Find out his actual speed at which he reaches school on time.

Question 6:

A passenger train that runs at the speed of $78 \mathrm{~km} / \mathrm{h}$ leaves the station $8$ hours after the goods train left and overtakes it in $5$ hours. What is the speed of goods train?

Question 7:

If $\frac{\sec \theta+\tan \theta}{\sec \theta-\tan \theta}=4$ and $\theta$ is an acute, then the value of $\frac{5 \cos ^{2} \theta+1}{5 \cos ^{2} \theta-1}$ is:

Question 8:

P and Q are two points observed from the top of a building $10 \sqrt{3} \mathrm{~m}$ high. If the angles of depression of the points are complementary and PQ=20, then the distance of P from the building is:

Question 9:

The side $\mathrm{BC}$ of as triangle $\mathrm{ABC}$ is extended to the point $\mathrm{D}$. If $\angle A C D=154^{\circ}$ and $\angle B=\frac{4}{7} \angle A$, then measure of $\angle B$ is equal to:

Question 10:

The length of a rectangle is twice  its breath and the perimeter of the rectangle is $294 \mathrm{~cm}$ then find area of the rectangle.