List of top Mathematics Questions

The mid-point of the line segment joining the points $(5, -4)$ and $(6, 4)$ lies on :

The common difference of the AP : $\sqrt{2}, 2\sqrt{2}, 3\sqrt{2}, 4\sqrt{2}, \dots$ is :

If a pair of linear equations in two variables is represented by two coincident lines, then the pair of equations has :

If $\Delta ABC$ and $\Delta DEF$ are similar such that $2 AB = DE$ and $BC = 8\text{ cm}$, then $EF$ is equal to :

The graph of $y = f(x)$ is given. The number of zeroes of $f(x)$ is :

The HCF of 960 and 432 is :

For any natural number $n$, $6^n$ ends with the digit :

The natural number 2 is :

If \(\cos \theta + \sin \theta = \sqrt{2} \cos \theta\), then prove that \(\cos \theta - \sin \theta = \sqrt{2} \sin \theta\).

Find the mean and the mode for the following frequency distribution :

Prove that, if a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio.

A chord PQ of a circle of diameter 28 cm subtends an angle of \(90^\circ\) at the centre O. Find the area of the sector OPCQ, where C is a point on minor arc PQ. Also, find the area of segment PCQ.

Assertion (A) : The probability that the date of birth of a man is in the month of June is \(\frac{1}{12}\).
Reason (R) : There are 12 months in a year.

Find the smallest 5-digit number exactly divisible by 24 and 36.

S is any point on the side QR of a \(\Delta PQR\) such that \(\angle PSR = \angle QPR\). Prove that \(\frac{QR}{RP} = \frac{RP}{RS}\).

All the red face cards are removed from a pack of 52 playing cards. The remaining cards are well shuffled and then a card is drawn at random. Find the probability of getting a : (i) red card (ii) a king or queen.

The sum of first n terms of an A.P. is given by \(S_n = 4n^2 - n\). Find the 25th term of this A.P.

Volumes of two spheres are in the ratio 64 : 27. The ratio of their surface areas is :

Assertion (A) : If the value of mode and mean for a distribution is 50 and 56 respectively, then the value of median is 54.
Reason (R) : Median = \(\frac{1}{3}\) (Mode - 2 Mean)

A card is drawn from a packet of 50 identical cards numbered from 1 to 50. The probability of drawing a number which is a perfect square, is :

The probability of getting a sum of 7, when two dice are thrown simultaneously, is :

If \(\cos A = \frac{3}{5}\), then the value of \(\tan A\) is :

The minute hand of a clock is 21 cm long. The distance covered by the tip of minute hand from 2:10 pm to 2:25 pm is :

If \(\sin \theta = \frac{\sqrt{3}}{2}\), then the value of \(2\sqrt{3} \cdot \cos \frac{\theta}{2}\) is :

The area (in \(\text{cm}^2\)) of a sector of a circle of radius 14 cm cut off by an arc of length 22 cm is :