List of top Quantitative Aptitude Questions

A train starts from Delhi at 6:00 AM and reaches Ambala Cantt at 10:00 AM. Another train starts from Ambala Cantt at 8:00 AM and reaches Delhi at 11:30 AM. If the distance between Delhi and Ambala Cantt is 200 km, at what time did the two trains meet each other?
A ship, 40 km from the shore, springs a leak which admits \(3\dfrac{3}{4}\) tonnes of water in 15 minutes. 60 tonnes would suffice to sink her, but the ship's pumps can throw out 12 tonnes of water in one hour. Find the average rate of sailing, so that it may reach the shore just as it begins to sink.
Three persons start walking together and their steps measure 40 cm, 42 cm and 45 cm respectively. What is the minimum distance each should walk so that each can cover the same distance in complete steps?
What is the maximum sum of the terms in the arithmetic progression \(25, 24\frac{1}{2}, 24, \ldots\)?
In triangle \(ABC\), point \(M\) lies on side \(AC\) and point \(N\) lies on side \(BC\), such that \(MN\) is parallel to \(AB\) (so triangle \(CMN\) is the smaller triangle near vertex \(C\), and \(ABNM\) is the trapezium formed below it). If the area of trapezium \(ABNM\) is twice the area of triangle \(CMN\), what is the ratio \(CM : AM\)?
A plane left 30 min later than its scheduled time to reach its destination 1500 km away. In order to reach in time it increases its speed by 250 km/h. What is its original speed?
A mixture of 12 kg of wheat flour costing Rs. 16 per kg and 4 kg of corn flour costing Rs. 2 per kg is sold at Rs. 16 per kg. What is the profit made in selling 40 kg of the mixture?
After distributing the sweets equally among 25 children, 8 sweets remain. Had the number of children been 28, 22 sweets would have been left after equally distributing. What is the smallest possible total number of sweets?
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.
Profit earned by an organization is distributed among officers and clerks where the individual amount received by them is in the ratio of \(5 : 3\). If the number of officers is 45 and the number of clerks is 80, and the amount received by each officer is Rs. 25,000, what was the total amount of profit earned?
A certain number of people were supposed to complete a work in 24 days. The work, however, took 32 days, since 9 people were absent throughout. How many people were supposed to be working originally?
The respective ratio between the present age of Manisha and Deepali is \(5 : x\). Manisha is 9 years younger than Parineeta. Parineeta's age after 9 years will be 33 years. The difference between Deepali's and Manisha's age is the same as the present age of Parineeta. What will come in place of \(x\)?
The cost of fencing a circular plot at the rate of Rs.15 per m is Rs.3300. What will be the cost of flooring the plot at the rate of Rs.100 per sq m?
In an examination, Raman scored 25 marks less than Rohit. Rohit scored 45 more marks than Sonia. Rohan scored 75 marks which is 10 more than Sonia. Ravi's score is 50 less than the maximum marks of the test. What approximate percentage of marks did Ravi score in the examination, if he gets 34 marks more than Raman?
Mr Giridhar spends 50% of his monthly income on household items and out of the remaining he spends 50% on transport, 25% on entertainment, 10% on sports and the remaining amount of Rs. 900 is saved. What is Mr Giridhar's monthly income?
The simple interest accrued on a sum of certain principal in 8 years at the rate of 13% per year is Rs.6500. What would be the compound interest accrued on that principal at the rate of 8% per year in 2 years?
8 men and 4 women together can complete a piece of work in 6 days. The work done by a man in one day is double the work done by a woman in one day. If 8 men and 4 women started working and after 2 days 4 men left and 4 new women joined, in how many more days will the work be completed?
Let P, Q, S, R, T, U and V represent the seven distinct digits from 0 to 6, not necessarily in that order. If PQ and RS are both two-digit numbers adding up to the three-digit number TUV, find the value of V.
In how many ways can 5 distinct letters be arranged in a circle?
If Lewis participated in two sports, which of the following is definitely false?
A rectangle has a perimeter of 50 cm and an area of 150 cm². Find its length.
Find the roots of $x^2 - 8x + 15 = 0$.
There are 4 roads between towns A and B, and 3 roads between towns B and C. How many different ways can a person travel from A to C via B and return to A without using the same road more than once in each direction?
If each X-Ray occupies 30MB and a new technology reduces space by 60%, what is the total magnetic media memory required to store all the X-Rays in the year 2000? (1MB = \(10^6\) Bytes)
The average of 5 numbers is 20. If a number 10 is removed, what is the new average?