List of top Mathematics Questions asked in MAT

The work done by a woman in 8 hours is equal to the work done by a man in 6 hours and by a boy in 12 hours.If working 6 hours per day 9 men can complete a work in 6 days then in how many days can 12 men 12 women and 12 boys together finish the same work working 8 hours per day ?
Out of eight crew members three particular members can sit only on the left side. Another two particular members can sit only on the right side. Find the number of ways in which the crew can be arranged so that four men can sit on each side.
A man sitting in a train travelling at the rate of 50 km/hr observes that it takes 9 sec for a goods train travelling in the opposite direction to pass him. If the goods train in 187.5 m long, find its speed.
Two vessels contain mixtures of milk and water in the ratio of 8 : 1 and 1 : 5 respectively. The contents of both of these are mixed in a specific ratio into a third vessel. How much mixture must be drawn from the second vessel to fill the third vessel (capacity 26 gallons) completely in order that the resulting mixture may be half milk and half water ?
A man can row 4.5 km/hr in still water and he finds that it takes him twice as long to row up as to row down the river. Find the rate of the stream.

There are two identical vessels X and Y. Y is filled with water to the brim and X is empty. There are two pails A and B, such that B can hold half as much water as A. One operation is said to be executed when water is transferred from Y to X using B once. If A can hold \(\frac{1}{2}\) a litre of water and it takes 40 operations to equate the water level in X and Y, what is the total volume of water in the system ?

A number when divided by 765 leaves a remainder 42. What will be the remainder if the number is divided by 17 ?

A man received Rs. 12000 as Puja Bonus. He invested a part of it at 5\(\%\) per annum and the remaining at 6\(\%\) per annum, simple interest being allowed in each case. The total interest earned by him in 4 years is Rs. 2580. The sum invested at 5\(\%\) per annum is

If three equal cubes are placed adjacently in a row, then the ratio of the total surface area of the new cuboid to that of the sum of the surface areas of the three cubes will be
A finance company declares that, at a certain compound interest rate, a sum of money deposited by anyone will become 8 times in three years. If the same amount is deposited at the same compound rate of interest, then in how many year will it become 16 times ?
Seema invested an amount of Rs. 16,000 for two years on compound interest and received an amount of Rs. 17,640 on maturity. What is the rate of interest ?
An iron cube of size 10 cm is hammered into a rectangular sheet of thickness 0.5 cm.If the sides of the sheet be in the ratio 1 : 5 then the sides are
Three pipes are made of different shapes. The cross-sections of the pipes are an equilateral triangle, a hexagon and a circle. The perimeter of each of these cross-sections is equal. The flow through the pipes is proportional to the area of cross section. If it takes 8 minutes for the triangular pipe to fill up the tank, what will be the difference in the times taken by the hexagonal and circular pipes?
A mixture (40 litres) contains tonic and water in the ratio 3 : 1 to make the ratio 2 : 1, how much additional amount of water is required?
If an angle of a triangle remains unchanged but each of its two including side is doubled, then by what factor does the area get multiplied ?
A boatman rows to a place 45 km distant and back in 20 hours. He finds that he can row 12 km with the stream in same time as 4 km against the stream . Find the speed of the stream.
If m and n are natural numbers such that 2m − 2n = 960 what is value of m
The radius of a cylindrical cistern is 10 metres and its height is 15 metres. Initially the cistern is empty, we start filling the cistern with water through a pipe whose diameter is 50 cm, water is coming out of the pipe with a velocity of 5 m/s. How many minutes will it take in filling the cistern with water?
Two cyclists start on a circular track from a given point but in opposite directions with speeds of 7 m/sec and 8 m/sec respectively.If the circumference of the circle is 300 metres after what time will they meet at the starting point ?
Fresh grapes contain 80 per cent water while dry grapes contain 10 per cent water. If the weight of dry grapes is 250 kg what was its total weight when it was fresh ?
A team of workers was employed by a contractor who undertook to finish 360 pieces of an article in a certain number of days.Making four more pieces per day than was planned, they could complete the job a day ahead of schedule. How many days did they take to complete the job ?
The Qutab Minar casts a shadow 150 m long at the same time when the Vikas Minar casts a shadow 120 m long on the ground. If the height of the Vikas Minar is 80 m, find the height of the Qutab Minar.
In an objective examination of 90 questions, 5 marks are allotted for every correct answer and 2 marks are deducted for every wrong answer. After attempting all the 90 questions a student got a total of 387 marks. Find the number of questions that he attempted wrong.
Rahul can row a certain distance downstream in 6 hours and return the same distance in 9 hours.If the speed of Rahul in still water is 12 km/hr find the speed of the stream.

A train after travelling 150 km meets with an accident and then proceeds at \(\frac{3}{5}\) of its former speed and arrives at its destination 8 hours late. Had the accident occurred 360 km further, it would have reached the destination 4 hours late. What is the total distance travelled by the train ?