List of top Mathematics Questions

If \( 3x + 4y = 10 \) and \( 2x - 2y = 2 \), then:

The pair of linear equations \( \frac{3}{2}x + \frac{5}{3}y = 7 \) and \( 9x - 10y = 14 \) is:

The point on the \( y \)-axis which is equidistant from the points \( (5, -2) \) and \( (-3,2) \) is:

The distance between the points \( (5\cos 0, 0) \) and \( (0, 5\sin 0) \) is:

The point \( (-2\sqrt{2}, -2) \) lies in which quadrant?

Which of the following numbers cannot be a probability?

What is the 35th term of the A.P. 20, 17, 14, 11, ... ?

How many terms are in the A.P. 3, 8, 13, 18, ..., 93 ?

The sum of the first 30 terms of the A.P. 1, 3, 5, 7, ... is:

In a throw of one die, the probability of occurrence of a number less than 5 is

If the probability of occurrence of an event \( A \) is 0.35, then the probability of non-occurrence of \( A \) is:

The minimum value of probability is:

If the mean of \(x, x + 3, x + 5, x + 7, x + 10\) is 9, then the value of \(x\) is

The median of a frequency distribution is 40 and mean is 2. Then its mode is:

The mode of 23, 15, 25, 40, 27, 25, 22, 25, 20 is:

In tossing of three coins, the number of possible outcomes is:

A 20 m deep well with a diameter of 7 m is dug, and the soil from digging is evenly spread out to form a platform of 22 m × 14 m. Find the height of the platform.

Prove that:
\[ \frac{\sec^3 0}{\sec^2 0 -1} + \frac{\cosec^3 0}{\cosec^2 0 -1} = \sec 0 \cosec 0 ( \sec 0 + \cosec 0 ). \]

Construct a triangle with sides 4 cm, 5 cm, and 6 cm and then construct another triangle similar to it whose sides are \( \frac{2}{3} \) of the corresponding sides of the first triangle.

The angle of elevation of the top of a building from the foot of a tower is \( 30^\circ \), and the angle of elevation of the top of the tower from the foot of the building is \( 60^\circ \). If the tower is 50 m high, find the height of the building.

Prove that the ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.

The median of 20, 13, 18, 25, 6, 15, 21, 9, 16, 8, 22 is:

Two dice are thrown at the same time. Find the probability that the sum of the two numbers appearing on the top of the dice is more than 9.