List of top Mathematics Questions

The altitude drawn to the base of an isosceles triangle is 8cm and the perimeter is 32cm. Find the area of the triangle?
Two cones have their heights in the ratio 1:3 and the radii of their bases in the ratio 3:1. Find the ratio of their volumes.
How many numbers divisible by 132:
264, 396, 462, 792, 968, 2178, 5184, 6336
A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?
The average age of 100 teachers in a college in 2000 was 50 years. In 2002, 20 teachers superannuated from their jobs, whose average age was 60 years. In 2005, 40 new teachers joined the college whose average age was 38 years. What was the average age of all the teachers in 2008?
Find the least possible 3 digit number which when successively divided by 2, 5, 4 and 3 leaves the remainders 1, 1, 3 and 1 respectively.
Sum of squares of two numbers is 3341 and difference is 891. Find numbers.
Two trains meet. After meeting reach in 4h and 9h. Find speed ratio.
Selling at Rs.1140 gives 5% loss. Find SP for 5% profit.
Salaries ratio 2:3. After adding Rs.4000 each \(\rightarrow\) ratio 40:57. Find Jimmy's salary.
Loan at 12% SI for 3 years gives Rs. 5400 interest. Find principal.
Find ? in equation: ?/\(\sqrt{128}\) = \(\sqrt{162}\)/?
A person crosses 600 m in 5 minutes. Find speed in km/hr.
One AC cools in 40 minutes and another in 45 minutes. If both work together, how long will it take?
The profit earned by selling an article for Rs. 900 is double the loss incurred when sold for Rs. 490. At what price should it be sold to make 25% profit?
How many bricks each measuring 25cm \(\times\) 11.25cm \(\times\) 6cm will be needed to build a wall of size 8m \(\times\) 6m \(\times\) 22.5cm?
Jasmine allows 4% discount on the marked price of her goods and still earns a profit of 20%. What is the cost price of a shirt if its marked price is 850?
If on a marked price, the difference of selling prices with a discount of 30% and two successive discounts of 20% and 10% is 72, then the marked price (in rupees) ?
A dishonest shopkeeper professes to sell his goods at cost price but uses a false weight of 920 grams for a 1 kg weight. What is his overall profit percentage?
A dealer sold two types of goods for 10,000 each. On one of them, he lost 20% and on the other he gained 20%. His gain or loss percent in the entire transaction was ?
A trader bought 10 kg of apples for 405 out of which 1 kg of apples were found to be rotten. If he wishes to make a profit of 10%, at what rate should he sell the remaining apples per kg?
An eigenvector of the matrix
\[ A= \begin{bmatrix} 3 & 2 \\ 1 & 2 \end{bmatrix} \]
is
The matrix
\[ A= \begin{bmatrix} 1 & 1+i & 2i \\ 1-i & 3 & 4 \\ -2i & 4 & 5 \end{bmatrix} \]
has
If the mean and variance of a binomial variate \(X\) are \(2\) and \(1\) respectively, then the probability that \(X\) takes a value greater than one is
Curl of \[ \vec{V}=e^{xyz}(\hat{i}+\hat{j}+\hat{k}) \] at the point \((1,1,1)\) is