List of top Mathematics Questions

If the slope of the line joining the points (4,2) and (3,-k) is -2, then the value of k is

If tan 48°.tan 23°.tan 42°.tan 67°=tan(A+30°), then the value of A is

If the area of a rectangle is \(112\ m^2\) and its length is \(6\ m\) more than the breadth, then the breadth of the rectangle is

2 cards of hearts and 4 cards of spades are missing from a pack of 52 cards. A card is drawn at random from the remaining pack. What is the probability of getting a black card?

Which of the following is a polynomial?

Nimra went to a bank to withdraw ₹2,000. She asked the cashier to give her ₹50 and ₹100 notes only and she got 30 notes in all. How many notes of ₹50 and ₹100 respectively that she received?

Two dice are thrown at the same time. What is the probability that the sum of the two numbers appearing on the top of the dice is more than 10?

The area of the shaded region in the given figure is

In the following figure, if DE || BC, then x =

If \(sinα+sinβ+sinγ=3\), then \(cosα+cosβ+cosγ =\)

If the probability of guessing the correct answer to a question is \(\frac {x}{12}\) and the probability of not guessing the correct answer is \(\frac 58\), the value of \(x\) is

The sum of first 10 terms of the arithmetic progression 34, 32, 30, .….. is

Find the 10^th term of the arithmetic progression \(5,1,-3,-7,..….\)

If the length, breadth and height of a cuboid are 8 cm, 3 cm and 4 cm respectively, then the total surface area of the cuboid is

If 35 is removed from the data 30, 34, 35, 36, 37, 38, 39, 40, then the median increases by

The pair of linear equations \(a_1x+b_1y+c_1=0\) and \(a_2x+b_2y+c_2=0\) has a unique solution, then

If A = {1, 2, {3, 4}, 5}, then which of the following is incorrect?

If \[ \int \frac{3e^x + 5e^{-x}}{4e^x - 5e^{-x}} \, dx = Ax + B \ln |4e^{2x} - 5| + C \] then, the values of $ A $, $ B $, and $ C $ are:

The upper limit of the median class of the following frequency distribution is

Class Interval	50-70	70-90	90-110	110-130	130-150	150-170
Number of Students	15	21	32	19	8	5

A box contains 24 balls of which x are red, 2x are white and 3x are blue. A ball is selected at random. What is the probability that the selected ball is not red?

\(\{0\}\) is a set which has ........ elements.

If a cylinder and a cone have bases of equal radii and are of equal heights, then their volumes are in the ratio of:

The value of \(\sin^2 15^\circ + \cos^2 15^\circ\) is: