List of top Quantitative Aptitude Questions

The number of integer solutions of the equation \((x^2−10)^{(x2−3x−10)}=1\) is

Suppose the medians BD and CE of a triangle ABC intersect at a point O. If area of triangle ABC is 108 sq. cm, then, the area of the triangle EOD, in sq. cm, is

Moody takes 30 seconds to finish riding an escalator if he walks on it at his normal speed in the same direction.He takes 20 seconds to finish riding the escalator if he walks at twice his normal speed in the same direction.If Moody decides to stand still on the escalator,then the time,in seconds,needed to finish riding the escalator is

Let \(0≤a≤x≤100\) and f(x)=\(|x−a|+|x−100|+|x−a−50|\).Then the maximum value of f(x) becomes 100 when a is equal to

Let \(A\) be the largest positive integer that divides all the numbers of form \(3^k+4^k+5^k\), and \(B\) be the largest positive integer that divides all the numbers of the form \(4^k+3(4^k)+4^{k+2}\), where k is any positive integer. Then \((A+B)\) equals

Pinky is standing in a queue at a ticket counter. Suppose the ratio of the number of persons standing ahead of Pinky to the number of persons standing behind her in the queue is 3:5. If the total number of persons in the queue is less than 300, then the maximum possible number of persons standing ahead of Pinky is

For any real number x, let [x] be the largest integer less than or equal to x. If \(\sum_{n=1}^N \left[ \frac{1}{5} + \frac{n}{25} \right] = 25\) then N is

Bob can finish a job in 40 days,if he works alone. Alex is twice as fast as Bob and thrice as fast as Cole in the same job.Suppose Alex and Bob work together on the first day,Bob and Cole work together on the second day,Cole and Alex work together on the third day and then,they continue the work by repeating this three-day roster,with Alex and Bob working together on the fourth day and so on.Then,the total number of days Alex would have worked when the job gets finished,is

The ratio of 2000, 500 and 50 notes in a purse is 5 : 19 : 8. If the total money in the bag is 39,800 then what is the amout of money in the form of 500 notes?

In a triangle \(ABC , ∠ BCA =50°\). D and E are points on AB and AC, respectively, such that AD = DE. If F is a point on BC such that BD = DF, then \(∠ FDE\), in degrees, is equal to

If \(f(x)=x^2−7x\) and \(g(x)=x+3\), then the minimum value of \(f(g(x))−3x\) is

The number of ways of distributing 15 identical balloons, 6 identical pencils and 3 identical erasers among 3 children, such that each child gets at least four balloons and one pencil, is

Two trains cross each other in 14 seconds when running in opposite directions along parallel tracks. The faster train is 160 m long and crosses a lamp post in 12 seconds. If the speed of the other train is 6km/hr less than the faster one, its length, in m, is

A basket of 2 apples, 4 oranges and 6 mangoes cost the same as a basket of 1 apple, 4 oranges and 8 mangoes, or a basket of 8 oranges and 7 mangoes. Then the number of mangoes in a basket of mangoes that has the same cost as the other baskets is

If \(5 - log_{10}\  \sqrt {1 + x }+ 4\  log_{10 }\  \sqrt {1-x} = log_{10}\  \frac {1}{\sqrt {1-x^2}}\), then \(100 x \) equals

If '/' means 'multiplication', '*' means 'addition', ·+·means 'subtraction' and ·-·means 'division', then the value of (54*36-9) / 13 + (6 * 17) is

Bali can complete a certain work in 18 minutes and Lucky can complete the same work in 15 minutes. Lucky worked on it for 10 minutes and then Bali took over after that. How many minutes would Bali take to complete the remaining job?

Ajay can complete a work in 9 days working for 8 hours a day. Vijay can complete the same work in 16 days working for 4 hours a day. If they work together to complete the work , then what is the approximate percentage of work done by Vijay?

8 men can finish a piece of work in 8 days, whereas it takes 10 women to finish it in 8 days. If 12 men and 5 women undertook to complete the work, then how many days will they take to complete it?

The speeds of two trains are in the ratio 6:7. If the second train runs 364 km in 4 hours, then the speed of the first train is

Sanchit and Archit cover a same distance at the rates of 10 km/hr and 12 km/hr respectively. What is the distance trave led when one takes 20 minutes longer than the other?

The velocities of car, a bike and a train are in the ratio 5 : 3 : 8. If a person travels equal distances by a car, a bike and a train, then what would be the ratio of the respective times taken to cover that distance?

A dishonest trader claims to sell at a loss of 16%. However, he uses a false scale and in realty makes a profit of 20%. To what difference does he defraud his customers when he claims to sell 1 kg of an item?

A retailer purchases shirts from a distributor at the rate of 300 per shirt and puts the label of 450 on each shirt. If the retailer allows some discount and still make a profit of 23%, then what is the discount percentage offered by the shopkeeper?

A merchant purchased 3 different varieties of rice namely P, Q and R at 15/kg, 25/kg and 30/kg. He then mixed these 3 different varieties of rice in the ratio of 3 : 5 : 2. At what price he must sell 1 kg of the mixed rice so as to make a net profit of 25%?