Search Previous Year Questions

Two boats P and Q start towards each other from two places, 300 km apart. The speed of the boat P and Q in still water is 32 km/h and 28 km/h respectively. If P goes downwards and Q up the stream, they will meet after how many hours?

Java, Pascal, Dos planned to purchase a piece of land for construction. Java invest Rs. 72000 at the starting. Pascal and Dos joined him with some investments after 3 and 6 months. The profit is divided in the ratio 2 ∶ 3 ∶ 5 at the end of the year. Find the total investment made by Pascal and Dos in the business?

Karan and Kamal started a business by investing Rs. 30,000 and Rs. 40,000 respectively. Karan reinvests his profit share of first-year into the business, if the total profit of the first year is Rs. 7,000. Find the second year ratio of profit share.

If a circle of radius 8 cm is cut out from a rectangle whose length is 18cm and breadth is 16 cm, then express the area of the circle as a percentage of area left in the rectangle rounded off to nearest hundred.

In how many days will Robert alone complete 3/5^th of the work?

I: James alone can do the work in 40 days. John is 300% more efficient than James. The ratio of efficiency between Michael and James is 8 : 3. Robert is 25% less efficient than Michael.

II: John and Robert together can finish the work in \(6\frac{2}{3};\)days, Robert and Michael in \(8\frac{4}{7};\)days, Michael in  and John can do the same work in 6 days.

A dishonest shopkeeper uses a false weight of 800 gm instead of 1000 gm at the time of selling goods. Also he marks up his goods by 40% above cost price and gives 10% discount to the customer. In this whole process, find his overall profit percentage.

The marked price of one bottle of cold drink is Rs. 140. A salesman gives one dozen bottles for free and 25% discount on order of 12 dozen bottles. What will be the minimum cost price of one bottle so that the salesman does not have any loss?

Sunita alone can complete \(\frac{5}{8}{\rm{th;}}\)of work in 25 days, Babita alone can complete \(\frac{3}{8}{\rm{th}}\) of the work in 9 days while Sunita, Babita and Kavita together can complete the whole work in 12 days. Then, time taken by Kavita alone to complete \(\frac{5}{{12}}{\rm{th}}\) of the total work is –

In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option.

Quantity I: Pipe A alone can fill the tank in 15 hours while pipe B alone can empty the tank in 5 hours. There is a leakage at the bottom which also alone can empty the tank in 4 hours. When pipe A and Pipe B are open simultaneously then in how many hours the tank gets empty?

Quantity II: 25 men can complete the work in 20 hours and 30 women can complete the work in 15 hours. If 15 men work for 10 hours then stopped working then remaining work gets completed by all 30 women. In what time total works get completed?

Given below are quantities named A,B and C. Based on the given information, you have to determine the relation between the quantities. You should use the given data and your knowledge of mathematics to choose among the possible answer.

A milkman has 132 litres mixture of milk and water in a container which contains milk and water in the ratio 7 : 5. The milk man sold 48 litres of the mixture and added 6 litres of pure milk and 20 litres of water to the remaining mixture. The milkman again sold 42 litres of the mixture.

Quantity A: Find the quantity of milk left in the container.

Quantity B: Find the quantity of water left in the container.

Quantity C: 35 litres.