List of top Mathematics Questions

In his wardrobe, Timothy has 3 trousers. One of them is black, the second blue, and the third brown. In his wardrobe, he also has 4 shirts. One of them is black and the other 3 are white. He opens his wardrobe in the dark and picks out one shirt-trouser pair, without examining the colour. What is the likelihood that neither the shirt nor the trouser is black?

If \(8^x2^y=512\) and \(3^{3x+2y}=(3^2)^{(3\times2)}\) then what is the value of x and y ?

A and B can finish a job in 10 days while B and C can do it in 18 days. A started the job, worked for 5 days, then B worked for 10 days and the remaining job was finished by C in 15 days. In how many days could Catone have finished the whole job?

If \(2^{2x-1}+4^x=3^{x-\frac{1}{2}}+3^{x+\frac{1}{2}}\), then x equals

In a special racing event, the person who enclosed the maximum area would be the winner and would get Rs 100 for every square metre of area covered by him/her. Johnson, who successfully completed the race and was the eventual winner, enclosed the area shown in figure below. What is the prize money won?
(Note: The arc from C to D makes a complete semi-circle).
AB=3m, BC = 10m, CD = BE = 2m

What is the third term in a sequence of numbers that leave remainders of 1, 2 and 3 when divided by 2, 3 and 4 respectively?

A boat, while going down-stream in a river covered a distance of 50 miles at an average speed of 60 miles per hour. While returning, because of the water resistance, it took one hour fifteen minutes to cover the same distance. What was the average speed during the whole journey?

In a class-room, there are 6 students. We need to divide them into 3 pairs for the purpose of assigning homework. In how many ways can we make such pairs?

The perimeter of a rectangular field is 52 m. If the length of the field is 2 m more than thrice the breadth, then what is the breadth of the field?

The marked price of a certain commodity is 30% higher than its cost price. A discount of 20% on the marked price makes the selling price Rs. 208. What is the net profit as a percent of cost price?

Peter got 30% of the maximum marks in an examination and failed by 10 marks. However. Paul who took the some examination got 40% of the total marks and got 15 marks more than the passing marks. What were the passing marks in the examination?

What is the value of M and N respectively if M39048458N is divisible by 8 and 11, where M and N are single digit integers?

A train leaves Station X at 5 a.m. and reaches Station Y at 9 a.m. Another train leaves Station Y at 7 a.m. and reaches Station X at 10.30 a.m. At what time do the two trains cross each other?

37.85% and 92% alcoholic solutions are mixed to get 35 litres of an 89% alcoholic solution. How many litres of each solution are there in the new mixture?

Two spinning machines A and B can together produce 3,00,000 metres of cloth in 10 hours. If machine B alone can produce the same amount of cloth in 15 hours, then how much cloth can machine A produce alone in 10 hours?

In a class of 50 students, 23 speak English, 15 speak Hindi and 18 speak Punjabi. 3 speak only English and Hindi, 6 speak only Hindi and Punjabi and 6 speak only English and Punjabi. If 9 can speak only English, then how many students speak all the three languages?

The average of 10 numbers is 40.2. Later it is found that two numbers have been wrongly added. The first is 18 greater than the actual number and the second number added is 13 instead of 31. Find the correct average.

If $(0, 6)$ and $(0, 3)$ are respectively the vertex and focus of a parabola then its equation is

If $w= \frac {-1+\sqrt {3i}}{2} $ then $(3+w+3w^2)^4 $

If the foci of the ellipse $ \frac {x^{2}} {{16}}$+$ \frac {y^{2} }{{b}^2} $=1 and hyperbola $\frac {x^{2}} {144} - \frac {y^{2}}{81}=\frac {1}{25}$ coincide then the value of $b^2$ is

If $Cos^{-1} p + Cos ^{-1} q + Cos ^{-1} r = \pi $ then $p^{2} + q^{2} +r^{2} +2pqr=$

The smallest positive integer $n$ for which $(1+i)^{2n} = (1-i)^{2n}$ is

The differential coefficient of $f (Sin \,x)$ w.r.t. $x$ where $f (x) = \log\, x$ is

If $0 \leq x \leq \pi$ and +$81^{sin^2x}+81^{Cos^2x}=30$ then $x=$

The radius of the circle passing through the point $(6, 2)$ and two of whose diameters are $x + y = 6$ and $x + 2y = 4$ is