List of top Questions asked in UP Board

If $\sin A = \cos A$, then the value of $A$ will be:
If \( A = 30^\circ \), then the value of \( \frac{1 + \tan^2 A}{1 + \cot^2 A} \) will be:
If the radius of a sphere is doubled, then the increase in percentage of its surface area will be:
The ratio between the diameters of two circles is \( 4 : 9 \). The ratio between their circumferences will be:
The mean of a frequency distribution is \( 24.1 \) and the mode is \( 28 \). Its median will be:
One third of any number is equal to 21. Then the number will be:
If one root of the quadratic equation $x^2 + 2x - p = 0$ is $-2$, then the value of $p$ will be:
The ratio of the areas of two triangles is equal to the square of the ratio of their corresponding sides. Then these triangles will be:
The coordinate of the point on the $x$-axis and equidistant from the points $(2, -5)$ and $(-2, 9)$ will be:
If \( \triangle ABC \) is an isosceles triangle with \( AB = AC \), then:
In $\triangle ABC$, if $AB = 6\sqrt{3}$ cm, $AC = 12$ cm, and $BC = 6$ cm, then $\angle B$ will be:
For any two positive integers ‘a’ and ‘b’:
The quotient of a non-zero rational and irrational number will be:
If \( m = 5 \) and \( n = m + 7 \), then the value of \( \sqrt{m^2 + n^2} \) will be:
The equivalent rational numbers of any rational number will be:
If $a_1x + b_1y + c_1 = 0$ and $a_2x + b_2y + c_2 = 0$ are two linear equations, and if $\dfrac{a_1}{a_2} = \dfrac{b_1}{b_2} = \dfrac{c_1}{c_2}$, then: