SSC GD 30th Nov 2021 Shift-1

The curved surface area of a cylinder is 96 $$cm^{2}$$ and its volume is 672 $$cm^{3}$$. Its diameter is:

If $$3 of 5\div 2 + \frac{3x}{1+\frac{12}{2+\frac{2x}{1-x}}} = 12\frac{1}{2}$$, what is the value of $$x$$?

Find CI on ₹8,000 at 15% for 2 years 4 months compounded annually.

The list price of a fan is ₹4,500 and it is sold at 15% discount. If its fmal seiling price, after allowing a second discount percentage on the list price, is f ₹3,213, then the second discount percentage is:

A certain number of men complete a piece of work in 60 days. If there were 9 more men, then the work would be completed in 50 days. How many men are originally there?

When 154 l of oil is removed from an upright cylindrical tank, the level falls down by 10 cm. What is the diameter (in cm) of the tank?
(Take $$\pi = \frac{22}{7}$$)

Bike A moving at a speed of 30 km/h covers some distance for 2 hours, while another bike B moving at a speed of 35 km/h covers the same distance as bike A. What is the ratio of the time taken by bike A to that taken by bike B?

In an election, a candidate got 75% of the total valid votes. If 20% of the total votes were declared invalid, and the total numbers of votes is 560000, find the number of valid votes polled in favour of the candidate.

Vessels A and B contain solutions of acid and water. The ratio of acid and water in vessel A is 7 : 5 and that in vessel B is 11 : 13. Four litres of solution from vessel A is mixed with 5 litres of solution from vessel B. What is the ratio of acid and water in the mixture?

The average weight of 20 students in a group is 54 kg. If 12 students of average weight 52 kg join the group and 7 students of average weight 56 kg leave the group, then what will be the average weight (in kg) of the remaining students in the group?