Search Previous Year Questions

Two pipes A and B can fill a tank in 20 minutes and 30 minutes, respectively. A third pipe C can empty the tank in 40 minutes. If all three pipes are opened simultaneously, how long will it take to fill the tank? (Rounded off to 2 decimal places.)

A person’s monthly income is ₹4,000. He spends 40% of his income on rent, 25% on groceries and 15% on transportation. The remaining amount is saved. However, his rent increases by 10% next month, while his grocery and transportation expenditures remain the same. How much will he save next month if his income remains the same?

There are two taps, T1 and T2, at the bottom of a water tank that can be used to empty the tank, either individually or together, each working at a constant rate. When only T1 is open, the tank (initially full) empties in 40 minutes. When both T1 and T2 are open together, the tank empties in 30 minutes. How many minutes will it take to empty the tank (initially full) if only T2 is open? 

The annual income of a person was ₹9,00,000. Due to a promotion, the income increased by 20%. If the person decides to save 36% of the increased income, calculate the amount saved. 

Anusha starts a business with ₹28,000 and after 4 months, Minal joins with Anusha as her partner. After a year, the profit is divided in the ratio 8 : 5. How much capital did Minal invest?

A car travels a distance of 700 km in 8 hours. What is its speed in km/hr? 

If the mean proportion of 36 and A is 54, then what is the value of A? 

A sum of money becomes ₹9,600 after 2 years and ₹12,000 after 5 years at the same simple interest rate. What is the annual rate of simple interest?

Evaluate: [(4 × 2) − (12 ÷ 4)] + 12

A manufacturer sells a product to a wholesaler at a profit of 25%. The wholesaler, in turn, sells it to a retailer at a profit of 50%, and the retailer sells it to a customer at a profit of 28%. If the customer pays ₹300, find the cost price (in ₹) for the manufacturer.