List of top Questions asked in CBSE Class X- 2026

The HCF of 960 and 432 is :

The value of x for which \( 2x, (x + 10) \) and \( (3x + 2) \) are the three consecutive terms of an A.P. is :

In the given figure, \(\Delta AHK \sim \Delta ABC\). If \(AK = 10 \text{ cm}\), \(BC = 3.5 \text{ cm}\) and \(HK = 7 \text{ cm}\), find the length of \(AC\).

A wire is attached from a point A on the ground to the top of a pole BC, making an angle of elevation as \(60^{\circ}\). If \(AB = 5\sqrt{3}\) m, then length of the wire is

Lencho’s last letter to God depicts astute faith on one level and irony on the other. Bring out the element of faith and irony in the situation. \hfill (A Letter to God)

The internal and external radii of a hollow hemisphere are \(5\sqrt{2} \text{ cm}\) and \(10 \text{ cm}\) respectively. A cone of height \(5\sqrt{7} \text{ cm}\) and radius \(5\sqrt{2} \text{ cm}\) is surmounted on the hemisphere as shown in the figure. Find the total surface area of the object in terms of \(\pi\). (Use \(\sqrt{2} = 1.4\))

Using the conditions from 32(b), prove that \(PR = 2AP\).

Prove that \(2 + 3\sqrt{5}\) is an irrational number given that \(\sqrt{5}\) is an irrational number.

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

Which structure in a leaf is mainly responsible for gaseous exchange?

Briefly mention the steps in double-circulation through human heart.

Identify the Economic Impact of Tourism from below given points:

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

Which of the following style categories in LibreOffice Writer is used to define layout elements such as margins, headers, and footers?

Plants use variety of techniques to get rid of their waste materials. Some are mentioned below. Identify the incorrect one:

Identify the correct statement for spirogyra, leishmania and hydra

Assertion : Bacteria produced as a result of asexual reproduction would be similar. Reason (R): There would be only minor differences between the bacteria generated due to small inaccuracies in DNA replication.

Find mean and mode of the following frequency distribution :

PQ is tangent to a circle with centre O. If \(OQ = a\), \(OP = a + 2\) and \(PQ = 2b\), then relation between \(a\) and \(b\) is

If \(2\tan A = 3\), then value of \(\sec A\) equals

If the HCF of 210 and 55 is expressed as \(210 \times 5 + 55m\), then find the value of \(m\).

In the given figure, \(AB \parallel DE\) and \(AC \parallel DF\). Show that \(\triangle ABC \sim \triangle DEF\). If \(BC = 10\) cm, \(EB = CF = 5\) cm and \(AB = 7\) cm, then find the length DE.

A conical cavity of maximum volume is carved out from a wooden solid hemisphere of radius 10 cm. Curved surface area of the cavity carved out is (use \(\pi = 3.14\))

(a) Why did many Europeans migrate to America after the sixteenth century? Explain. OR (b) How did trade and long distance travel contribute to the spread of diseases during the ancient period? Explain.

Assertion : In human beings, the respiratory pigment is haemoglobin present in red blood cells.
Reason (R) : Haemoglobin has a very high affinity for carbon dioxide.