[PSSSB Excise & Taxation Inspector, 2023]

1. What is the difference between the compound interests on ₹ 5000 for 1 year at 4% per annum compounded yearly and half yearly?

2. 2 men and 3 boys can do apiece of work in 10 days while 3 men and 2 boys can do the same work in 8 days. In how many days can 2 men and 1 boy do the work ?

3. A man covers a certain distance on a toy train. Had the train moved 4 km/hr faster, It would have taken 30 minutes less. If it moved 2 km/hr slower, it would have taken 20 minutes more. Find the distance in kilometres.

4. A vessel contains a mixture of Grape, Pineapple and Banana juices in the respective ratio of 4: 6: 5. Fifteen litres of this mixture is taken out and 8 litres of grape juice and 2 litres of pineapple juice is added to the vessel. If the resultant quantity of grape juice is 10 litres less than the resultant quantity of pineapple juice, what was the initial quantity of mixture in the vessel (in litres) ?

5. Vishwas borrowed a total amount of ₹ 30000, part of it on simple interest rate of 12 p.c.p.a. and remaining on simple interest rate of 10 p.c.p.a. If at the end of 2 years he paid in all  ₹ 36480 to settle the loan amount, what was the amount borrowed at 12 p.c.p.a.?