List of top Questions asked in CBSE Class X- 2026

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

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.

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.

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

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

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.

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 :

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)

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

In two concentric circles with centre O, the radius of outer circle is 25 cm. Chord PQ of the outer circle is tangent to the inner circle at R. If PQ = 14 cm, then the radius of the inner circle 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 :

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

If two tangents inclined at an angle of \(60^\circ\) are drawn from an external point to a circle of radius 6 cm, then the length of each tangent is :

If in two triangles ABC and DEF, \(\frac{AB}{EF} = \frac{BC}{DE} = \frac{CA}{DF}\); then :

In \(\Delta\)ABC, P is a point on AB and Q is a point on AC such that PQ \(\parallel\) BC. If AP : PB = 3 : 2, then PQ : BC is equal to :

The ratio in which the x-axis divides the line segment joining the points A\(-8, 4\) and B\(-6, -2\) is :

The value of k for which the pair of linear equations \(kx - 3y = 5\), \(4x - 6y = 10\) has infinitely many solutions, is :

If \(x = \sqrt{3}\) is a solution of the equation \(ax^2 + \sqrt{3}x - 12 = 0\), then :

The fourth vertex D of a parallelogram ABCD whose three vertices are A\(-4, 1\), B\(4, 5\) and C\(6, 1\) is :

The nth term of an A.P. is \(3n + 2\). The common difference is :

If \(\alpha\) and \(\beta\) are two zeroes of the quadratic polynomial \(p(x) = x^2 - 11x + 30\), then \(\frac{1}{\alpha} + \frac{1}{\beta}\) is equal to :