SSC GD 16th Jan 2023 Shift 3

What is the volume of a cone whose height is 24 cm and radius is 14 cm?

Simplify $$6 + [(16 - 4) \div (2^{2} + 2)] - 2$$.

The HCF and LCM of 2 numbers are 32 and 192. One of the numbers is 64. Find the absolute difference between the numbers.

A school manager decides to build a new school building in 40 days. He employs 100 men in the beginning and 100 men after 35 days and completes the construction within the stipulated time. If he had not employed the additional men, how many days behind schedule would the school building have been completed?

In a mixture of 624 litres, the ratio of milk and water is 5∶3. The amount of water to be further added to the mixture so as to make the ratio of the milk to water 5 ∶ 4 will be:

Seats for Engineering, Management and Science in a University are in the ratio of 7 : 8 : 9. There is a proposal to increase these seats by 20%, 30% and 60% respectively.
What will be the ratio of the increased seats?

The value of an Apple laptop depreciated from Rs.1,33,100 to Rs.72,900 in 3 years.
Find the yearly rate of depreciation. (Correct to 2 decimal places.)

Two trains running in the same direction at 110 km/h and 90 km/h completely pass one
another in 54 sec. If the length of the first train is 130 metres, then find the length of the second train.

Calculate the cost to paint a water tank in the shape of a sphere having a radius of 7 cm, if the cost of painting is $$Rs.4.5/cm^{2}$$. ($$\pi = \frac{22}{7}$$)

A man sold two pens at Rs.12 each. On one, he gained 20% and on the other, he lost 20%. On the whole, he: