List of top Mathematics Questions

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
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?
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 ?
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?

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

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 ?
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 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 ?

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.
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 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.
The value of $\int \frac {1}{1+ Cos \; 8x}dx$ is
The number of positive divisors of $252$ is
The equation of the plane passing through the mid point of the line of join of the points $(1, 2, 3)$ and $(3, 4, 5) $ and perpendicular to it is
The curve described parametrically by $x = t^2 + 2t - 1, y = 3t + 5$ represents
The domain of the function $ f(x)=\frac{{{\cos }^{-1}}x}{[x]} $ is
If $\sqrt{1-x^{2} } + \sqrt{1- y^{2}} =x -y $, then $\frac{dy}{dx} = $
A particular solution of $ \frac{dy}{dx} = (x+9y)^2$ when $ x = 0, y = \frac{1}{27}$ is
The amplitude of $(1+i)^5$ is
The solutions of $ x+\sin \,5x=\sin 3x $ in $ \left( 0,\frac{\pi }{2} \right) $ are
If the extremities of a diagonal of a square are $ (1,-2,3) $ and $ (2,-3,5) $ then the length of the side is
Let $A$ be a square matrix and $ {{A}^{T}} $ is its transpose, then $ A+{{A}^{T}} $ is
If $ P=(0,1,2),\,\,Q=(4,-2,1),O=(0,0,0), $ then $ \angle POQ $ is equal to