SSC GD 10th Jan 2023 Shift 3

The value of an article depreciated from ₹18,000 to ₹14,580 in 2 years. Find the yearly rate of depreciation in the value of the article.

Ramu and Mohan can separately complete a work in 10 hours and 16 hours, respectively. After working for 2 hours together, Mohan leaves the work. In how many hours will Ramu finish the remaining work?

A car covers a certain distance in 3 h with a speed of 108 km/h. If the speed is reduced by 27 km/h, then the time taken by the car to cover the same distance will be:

Rahul travels a certain distance at a speed of 4 km/h and returns at a speed of 3 km/h via same route. What was his average speed for the entire journey (correct to 2 decimal places)?

Rohan divides his complete journey in three equal parts and covers the first part at a speed of 30 km/h, the second part at 40 km/h and the last part at 50 km/h with his car. What is the average speed (in km/h) of his car during his entire journey?

A can do a piece of work in 8 days and B in 24 days. They begin together, but 4 days before the completion of the work, A leaves. Find the number of days taken by A and B to complete the entire work.

A thief started his journey at a speed of 60 km/h. After 30 minutes, police started from the same place but at a speed of 80 km/h. How much time (in hours) will the police take to catch the thief?

What is the difference between the compound interest on Rs.5,750 for one year at 16% per annum compounded yearly and compounded half-yearly?

Evaluate the following expression.
$$\left[\frac{-4}{7} \div \frac{1}{12}\right] \div \left[ - \frac{4}{5} \times \left\{( -2) - ( - \frac{2}{7})\right\}\right]$$

The volumes of two cones are in the ratio of 3 : 2 and their radii are in the ratio 3 : 4.
The ratio of their heights is: