List of top Questions asked in CBSE Class X- 2026

In a circular museum hall of radius 14 m, some statues are displayed. Statues are kept inside the inner concentric circle of radius 7 m. One such statue lying in sector OAB, is fenced along line segments OA, AP, PB and BO where P is a point on outer circle. Based on above information, answer the following questions :

(i) Find m\(\angle\)AOP.

Meena calculates that the probability of her winning the first prize in a lottery is \(0.08\). If total \(800\) tickets were sold, the number of tickets bought by her, is

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 :

Two dice are rolled together. The probability that the sum of the numbers obtained is divisible by 6, is :

If H.C.F. of \(135x^2\) and \(189x^3\) is 108, then find the value of x.

At which of the following points, the quadratic polynomial \(p(x) = - 3x + 18x^2 - 1\) intersects the positive x-axis ?

The system of equations \(x = 2\) and \(x = 3\) has:

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

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.

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

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.

In the given figure, \(\triangle\)ABC is right angled triangle with \(\angle\)A = \(90^\circ\). AD is perpendicular to BC.

(a)(i) Prove that \(\triangle\)DBA \(\sim\) \(\triangle\)DAC

If the pair of linear equations : \(a_1x + b_1y + c_1 = 0\) and \(a_2x + b_2y + c_2 = 0\) is consistent and dependent, then

Assertion (A): From a bag containing 5 red balls, 2 white balls and 3 green balls, the probability of drawing a non-white ball is \(\frac{4}{5}\).
Reason (R): For any event E, \(P(E) + P(\text{not } E) = 1\)

If roots of the quadratic equation \(x^2 - k\sqrt{3}x + 2 = 0\) are real and equal, then value of \(k\) is

If sum of first ten terms of an A.P. is zero with a as the first term and d, the common difference, which of the following relation is true ?

In the given figure, \(\Delta ABC\) is an equilateral triangle. AD is a median of the triangle joining the points \(A\left(0, \frac{5\sqrt{3}}{2}\right)\), \(D(0, 0)\). Points B and C are (in same order) :

The length of the arc of the sector of a circle with radius 21 cm and of central angle 60°, is :

If \( 2 \sin A = 1 \), then the value of \( \tan A + \cot A \) is :

Mean and Median of a frequency distribution are 43 and 40 respectively. The value of mode is

Arc PQ subtends an angle \(\theta\) at the centre of the circle with radius 6.3 cm. If PQ = 11 cm, then the value of \(\theta\) is

The length of the arc of the sector of a circle with radius 21 cm and of central angle $60^\circ$, is :

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

Detect the error and supply the correction for the given newspaper report on a proposal by a Member of Advisory Board: After the meeting it was obvious that most stakeholders would not support _______} proposals.

Fill in the blank with correct option to complete a message from Yogita to her friend Shobit:
Dear Shobit,
Let’s meet at 5 p.m. for the rehearsal but I need to go home first since morning I _______} anything since morning.