List of top Quantitative Aptitude Questions

The trunk of a tree is a right cylinder 1.5 m in radius and 10 m high. What is the volume of the timber which remains when the trunk is trimmed just enough to reduce it to a rectangular parallelepiped on a square base?
A ship 156 km from the shore springs a leak which admits \(2\frac{1}{3}\) metric tons of water in \(6\frac{1}{2}\) minutes. A quantity of 68 metric tons would suffice to sink it, but its pumps can throw out 15 metric tons in an hour. The average rate of sailing so that it just reaches the shore as it begins to sink should be
Two trains 130 m and 110 m long are going in the same direction. The faster train takes one minute to pass the other completely. If they are moving in opposite directions, they pass each other completely in 3 seconds. Find the speed of each train?
A man rows to a place 48 km distant and comes back in 14 hours. He finds that he can row 4 km with the stream in the same time as 3 km against the stream. The rate of the stream is:
In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by:
Instead of walking along two adjacent sides of a rectangular field, a boy took a short cut along the diagonal and saved the distance equal to half of the longer side. Then the ratio of the shorter side to the longer side is
The interior angle of a regular polygon exceeds the exterior angle by \(132^\circ\). Then the number of sides in the polygon is
A can do a piece of work in 10 days, B in 15 days. They work together for 5 days, the rest of the work is finished by C in two more days. If they get Rs.\ 3000 as wages for the whole work, what are the daily wages A, B and C respectively (in Rs.)?
A pump can be operated both for filling a tank and for emptying it. The capacity of the tank is 2400 m\(^3\). The emptying capacity of the pump is 10 m\(^3\) per minute higher than its filling capacity. Consequently, the pump needs 8 minutes less to empty the tank than to fill it. Find the filling capacity of the pump.
A sum of money is borrowed and paid back in two annual instalments of Rs.\ 882 each, allowing 5% compound interest. The sum borrowed was
A, B and C are three taps connected to a tank. A and B together can fill the tank in 6 h, B and C together can fill it in 10 h and A and C together can fill it in \(7\frac{1}{2}\) h. In how much time would all three take to fill the tank?
A road from A to B is 11.5 km long, first goes uphill, then crosses a plain, and then goes downhill. A person walking from A to B covered this road in 2 h 54 min, and the return journey took him 3 h 6 min. His speed uphill is 3 km/h, on the plain 4 km/h and downhill is 5 km/h. What is the length of the plain part of the journey?
A is thrice as efficient as B. Working together, they complete the work in 3 days. If working alone, B takes 8 days more than A to finish the whole work. What is the number of days taken by A to finish the whole work alone?
Mr. Dua invested money in two schemes, A and B offering compound interest @ 8 p.c.p.a and 12 p.c.p.a respectively. If the total amount of interest accrued through two schemes together in two years was Rs.\ 4538.00 and the total amount invested was Rs.\ 20,000, what was the amount invested in Scheme A?
Alcohol costs Rs.\ 3.50 per litre and kerosene oil costs Rs.\ 2.50 per litre. In what proportion should these be mixed so that the resulting mixture may be Rs.\ 2.75 per litre?
An empty fuel tank of a car was filled with A type petrol. When the tank was half-empty, it was filled with B type petrol. Again when the tank was half empty, it was filled with A type petrol. When the tank was half-empty again, it was filled with B type petrol. What is the percentage of A type petrol present in the tank?
A man pays 40 times the annual rent to purchase a building. The rate % per annum he derives from his investment is
Three containers have their volumes in the ratio \(3:4:5\). They are full of mixtures of milk and water. The mixtures contain milk and water in the ratio of \((4:1), (3:1)\) and \((5:2)\) respectively. The contents of all these three containers are poured into a fourth container. The ratio of milk and water in the fourth container is
Two friends P and Q started a business investing in the ratio \(5:6\). R joined after six months investing an amount equal to that of Q. At the end of the year, 20% profit was earned which was equal to Rs.\ 98,000. What was the amount invested by R?
A man divides his property so that his son's share to his wife's and the wife's share to his daughter are both in the ratio \(3:1\). If the daughter gets 10,000 less than the son, find the total worth of the property.
A man and a boy working together can complete a work in 24 days. If for the last 6 days, the man alone does the work, then it is completed in 26 days. How long will the boy take to complete the work alone?
In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with the remaining meal?
A hostel has provisions for 250 students for 35 days. After 5 days, a fresh batch of 25 students was admitted to the hostel. Again after 10 days, a batch of 25 students left the hostel. How long will the remaining provisions survive?
A and B rent a pasture for 10 months by contributing equal rent; A puts in 80 cows for 7 months and leaves. How many cows can B put in for the remaining 3 months, if he pays half as much rent again as A?
On selling a pen at 5% loss and a book at 15% gain Karim gains Rs.\ 7. If he sells the pen at 5% gain and the book at 10% gain then he gains Rs.\ 13. The actual price of the book (in Rs.) is: