List of top Mathematics Questions

Aman got 30% of the maximum marks in an examination and failed by 15% marks. However, Anil who took the same examination got 40% of the total marks and got 10 marks more than the passing marks. What were the passing marks in the examination ?

Akriti buys a smartphone for ₹ 12,500. If she wants to profit of 30%, how much should she charge for the smartphone ?

₹4200 are divided among ‘P’, ‘Q’, ‘R’ and ‘S’ in such a way that the shares of ‘P’ and ‘Q’. ‘Q’ and ‘R’ as well ‘R’ and ‘S’ are in the ratios of 2:3, 4:5 and 6:7 respectively, the share of ‘P’ is :

Work done by A in one day is half of the work by B in one day. Work done by B is half on the work done by C in one day. If C alone can do the work in 7 days, then in how many days can A, B and C together complete the work ?

A pair of dice is thrown and sum of the numbers on two tosses is observed. Which of the statements are correct

Diameter of sphere is 28 cm. Find out its surface area ?

Which two numbers are both square and cube numbers ?

In the given figure the value of angle ‘x’ is _________

A car costing ₹8,50,000 has scrap value of ₹1,25,000. If annual depreciation charge is ₹1,45,000, then useful life of the car is:

The following data are from a simple random sample: 1, 4, 7
The point estimate of the population standard deviation is:

A coin is tossed 5 times. The probability of getting atleast one head is:

If \(x = \frac{1}{t^2}\) and \(y =\frac{1}{t^3}\), then \(\frac{d^2y}{dx^2}\) at \(t=1\) is:

A motor boat covers 16 km in 2 hours downstream and 14 km in 2 hours upstream. The speed of the motor boat is:

The maximum profit that a company can make if the profit function is given by
\(P(x)=32+24x-18x^2\) is:

For x+y=8, the maximum value of xy is:

For matrix \(A = \begin{bmatrix}3&1\\ 7&5\end{bmatrix}\), the values of x and y so that \(A^2+xI=yA\) are:

Let A and B be symmetric matrices of same order, then which of the following statement is true?

If \(x^{\frac{3}{4}}+y^{\frac{3}{4}}=a^{\frac{3}{4}}\) (a is a constant) then \(\frac{dy}{dx}\) is equal to :

If \(A = \begin{bmatrix} 4&5&2\\ 3&-1&7\end{bmatrix}\), then the sum of the elements of the matrix AA^T is:

If the mean of the probability distribution is 5, then the value of k is:

For the LPP Max Z=3x+4y, x+y≤40; x+2y≤ 60, x≥0, y≥0 the solution is:

The solution of \(7x ≡ 3(mod 5)\) is:

The region represented by the system of inequalities x, y≥0, y≤8, x + y≤4 is:

With reference to time series, match List I with List II

Choose the correct answer from the options given below:

The random variable X has a probability distribution P(X) of the following form, where k is some number.

Then P(x≤2) is: