List of top Questions asked in Bihar Board Class X Exam

The curved surface area and volume of a cylinder are 264 m\(^2\) and 396 m\(^3\) respectively. Find the radius and height of the cylinder.
The base radius of a cone is \( 7\sqrt{7} \) cm and its height is 21 cm. Find the volume of the cone.
If \( q \) is a positive integer, which of the following is an odd positive integer?
The H.C.F. of two consecutive odd numbers is:
Find the area of the triangle whose vertices are \( (0,4) \), \( (3,6) \), and \( (-8,-2) \).
Evaluate: \( \csc 39^\circ \cos 51^\circ + \tan 21^\circ \cot 69^\circ - \sec^2 21^\circ \)
Prove that \( \sec^4 \theta - \tan^4 \theta = 1 + 2\tan^2 \theta \).
Find the zeroes of the quadratic polynomial \( x^2 - 3 \) and verify the relationship between the zeroes and the coefficients.
Divide polynomial \( x^4 - 2x^3 - x + 2 \) by the polynomial \( x^2 - 3x + 2 \).
Using Euclid division algorithm, find the HCF of 252 and 594.
The simplest form of \( 0.\overline{3} + 0.\overline{4} \) is:
If \( 156 = 2^x \times 3^y \times 13^z \), then \( x + y + z = \)?
\( \sqrt{10} \times \sqrt{15} \) is:
In the form of \( \frac{p}{2^n \times 5^m} \), 0.105 can be written as:
If H.C.F. of two numbers is 25 and L.C.M is 50, then the product of numbers will be:
If in the division algorithm \( a = bq + r \), given \( b = 61 \), \( q = 27 \), and \( r = 32 \), then the value of \( a \) is:
Which of the following is an arithmetic progression (A.P.)?
For what value of \( p \), do the terms \( (2p + 1), 13, (5p - 3) \) form an A.P.?
If \( a_n \) is the \( n \)th term of A.P. \( 3, 8, 13, 18, \dots \), then what is the value of \( a_{25} - a_{10} \)?
The second term of an A.P. is 13 and its fifth term is 25. The common difference of the A.P. is:
If the sum of the first \( n \) terms of an arithmetic sequence is given by \( S_n = 5n - n^2 \), then the common difference of the sequence is:
\( \sqrt{\frac{64}{81}} + \sqrt{\frac{16}{9}} \) is:
The product of two irrational numbers \( 3 + \sqrt{6} \) and \( 3 - \sqrt{5} \) will be a:
Which of the following numbers cannot be the probability of an event?
What is the probability of not getting an odd number in a throw of a die once?