List of top Questions asked in CBSE Class X- 2026

The $n^{\text{th}}$ term of the A.P. $\frac{-1}{3}, \frac{2}{3}, \frac{5}{3}, \frac{8}{3}, \dots$ is :
It is given that $\Delta ABC \sim \Delta QRP$ such that $AB = 9$ cm, $BC = 5$ cm and $PR = 2$ cm. Length of side QR is :
In the given figure, PT is a tangent to the circle with centre O and radius r. If $\angle POT = 45^\circ$, then the length of OP is :
Equation of another line parallel to the line represented by $2x - 6y = 7$ is :
Two dice are rolled together. The probability that the sum of the numbers obtained is divisible by 6, is :
If the length of the shadow of a tower is $\sqrt{3}$ times that of its height, then altitude of the Sun is :
A cone of maximum size is carved out from a solid cube of edge length $l$. The volume of the cone is :
$(3 \times 11 \times 13 + 3)$ is :
The number of multiples of 4 lying between 12 and 250 is :
In $\Delta DEF$, AB $\parallel$ EF. The value of x is :
In the given figure, PQ and PR are tangents to a circle with centre O and radius 3 cm. If $\angle QPR = 60^\circ$, then the length of each tangent is :
The roots of the quadratic equation $(x - 1)^2 = 16$ are :
Two different dice are thrown together. Find the probability that the numbers obtained have : (i) even sum, (ii) even product.
Represent the following pair of linear equations graphically and hence comment on the condition of consistency of this pair : \(x - 5y = 6; 2x - 10y = 12\)
An SBI health insurance agent found the following data for distribution of ages of 100 policy holders. The health insurance policies are given to persons of age 15 years and onwards, but less than 60 years. Find the modal age and median age of the policy holders.
Prove that \(\sqrt{5}\) is an irrational number.

Assertion (A) : The surface area of the cuboid formed by joining two cubes of sides 4 cm each, end-to-end, is 160 \(cm^2\).
Reason (R) : The surface area of a cuboid of dimensions \(l \times b \times h\) is \((lb + bh + hl)\).
In the given figure, O is the centre of the circle. PQ and PR are tangents. Show that the quadrilateral PQOR is cyclic.
In the given figure \(\Delta ABC\) is shown, in which \(DE \parallel BC\). If \(AD = 5\text{ cm}\), \(DB = 2\cdot5\text{ cm}\) and \(DE = 8\text{ cm}\), then the length of \(BC\) is :
If the distance between the points (4, p) and (1, 0) is 5, what is the value of p ?
The three vertices of a rhombus PQRS are P(2, – 3), Q(6, 5) and R(– 2, 1). Find the coordinates of the fourth vertex S and coordinates of the point where both the diagonals PR and QS intersect.
In the given figure, PA and PB are tangents to a circle centred at O. If \(\angle AOB = 130^\circ\), then \(\angle APB\) is equal to :
In the given figure, PA and PB are tangents to a circle centred at O. If \(\angle OAB = 15^\circ\), then \(\angle APB\) equals :
The area of a semicircle of diameter 'd' is :
A hemispherical bowl is made of steel of thickness 1 cm. The outer radius of the bowl is 6 cm. The volume of steel used (in \(cm^3\)) is :