List of top Questions asked in CBSE Class X

In the given figure, O is the centre of the circle. PQ and PR are tangents. Show that the quadrilateral PQOR is cyclic.

Prove that \(\sqrt{5}\) is an irrational number.

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 \(\text{cm}^3\)) is :

Assertion (A) : The surface area of the cuboid formed by joining two cubes of sides 4 cm each, end-to-end, is 160 \(\text{cm}^2\).
Reason (R) : The surface area of a cuboid of dimensions \(l \times b \times h\) is \((lb + bh + hl)\).

The mean and median of a frequency distribution are 43 and 43.4 respectively. The mode of the distribution is :

Assertion (A) : The mean of first 'n' natural numbers is \(\frac{n - 1}{2}\).
Reason (R) : The sum of first 'n' natural numbers is \(\frac{n(n + 1)}{2}\).

The probability for a randomly selected number out of 1, 2, 3, 4, ..., 25 to be a composite number is :

From a point on the ground, which is 60 m away from the foot of a vertical tower, the angle of elevation of the top of the tower is found to be \(45^\circ\). The height (in metres) of the tower is :

If \(\cos A = \frac{4}{5}\), then the value of \(\tan A\) is :

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

Area of a segment of a circle of radius 'r' and central angle \(60^\circ\) is :

In the given figure, PA and PB are tangents to a circle centred at O. If \(\angle OAB = 15^\circ\), then \(\angle APB\) equals :

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 triangles ABC and PQR, \(\angle A = \angle Q\) and \(\angle B = \angle R\), then AB : AC is equal to :

Which of the following sequence is not an A.P. ?

If \(\alpha\) and \(\beta\) are two zeroes of a polynomial \(f(x) = px^2 - 2x + 3p\) and \(\alpha + \beta = \alpha\beta\), then value of p is :

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

The distance of the point A(4a, 3a) from x-axis is :

For any natural number n, \(5^n\) ends with the digit :

The LCM of 960 and 240 is :

The natural number 1 is :

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

A brooch is crafted from silver wire in the shape of a circle with a diameter of 35 cm. The wire is also used to create 5 diameters, dividing the circle into 10 equal sectors.

37(i) What is the radius of the circle?

In a potato race, a bucket is placed at the starting point, which is 5 m from the first potato. The other potatoes are arranged 3 m apart in a straight line, with a total of 10 potatoes.

(i) What is the distance covered to pick up the first potato and drop it in the bucket?

Two sections, A and B, of class X contributed a total of Rs. 1500 for the Uttarakhand flood victims. The contribution from X-A was Rs. 100 less than that of X-B. Graphically, find the amounts contributed by both sections.