SSC CHSL 10th March 2023 Shift-1

Two circles intersect each other such that each passes through the centre of other. Radius of these circles are equal. If the length of common chord is $$14 \surd 3$$ cm, then what will be the sum of circumferences of these two circles?

If $$4 \cot A = 5$$, then what is the value of $$6 \sec A \tan A$$?

If the ratio of the volumes of two cylinders is 6 : 1 and the ratio of their heights is 1 : 6, then what is the ratio of their radii?

Raj alone can complete a work in 20 days and Pratap alone can complete the same work in half of the time taken by Raj. In how many days will both together complete 3/5 part of the total work?

A boat can row 36 km upstream in 9 hours and the same distance downstream in 3 hours. What is the speed of the boat in still water?

If $$a + b + c = 0$$ and $$a^2 + b^2 + c^2 = 40$$, then what is the value of $$4ab + 4bc + 4ca$$?

How many terms of the series -9, -6, -3, ...... must be taken so that the sum of all the terms is 45?

What is the sum of first 200 terms of the given series?
$$1 + 5 + 6 + 10 + 11 + 15 + 16 + 20 + .....$$

A merchant allows a discount of 20 percent on marked price. If he wants to earn a profit of 20 percent, then marked price will bellow much percentage more than the cost price?

If the radius of sphere is decreased by 10 percent, then volume of sphere will be decreased by what percentage?