List of top Questions asked in UP Board X

If two dice are tossed together, then the probability of getting the sum of numbers on both the dice as 10 is:

When a die is thrown once, the probability of getting an even number will be:

The volume of a cube is 1331 cm$^3$. Find its each side.

The value of $\dfrac{\sin 27^\circ}{\cos 63^\circ}$ will be:

If $\cos A = \dfrac{\sqrt{3}}{2}$, then the value of $\sin 2A$ will be:

The value of $\dfrac{1 + \tan^2 A}{1 + \cot^2 A}$ will be:

$\sin 2A = 2 \sin A$ is true when $A$ is equal to:

The area of a quadrant of a circle whose circumference is 22 cm will be:

The solution of a pair of linear equations $x + 2y + 5 = 0$ and $-3x - 6y + 1 = 0$ will be:

Common difference for the Arithmetic Progression (AP): $-5, -1, 3, 7, \ldots$ will be:

The discriminant of the quadratic equation $ax^2 + bx + c = 0$ will be:

Distance between two points (2, 3) and (1, 1) will be:

If the roots of the quadratic equation $3x^2 - 12x + m = 0$ are equal, then the value of $m$ will be:

$\triangle ABC$ is an equilateral triangle of side $2a$. The length of each of its altitudes will be:

Maximum number of zeroes of a cubic polynomial will be:

Prime factors of number 140 will be:

The relation between dividend, divisor, quotient and remainder will be:

Show by making a diagram for the magnetic lines of force around a bar magnet.

Choose the correct alternative by matching the physical quantities in column (B) with the units in column (A): \[ \begin{array}{|l|l|} \hline \textbf{A} & \textbf{B} \\ \hline (1) \text{Ohm} & (ii) \text{Electric resistance} \\ \hline (2) \text{Watt} & (iii) \text{Electric power} \\ \hline (3) \text{Ampere} & (i) \text{Electric current} \\ \hline (4) \text{Volt} & (iv) \text{Electric potential difference} \\ \hline \end{array} \]

What is short-sightedness (myopia)? Explain with a ray diagram. This defect is corrected by which type of lens?

Explain the difference between magnet and current carrying solenoid.

Differentiate between self-pollination and cross-pollination.

Write down four differences between producers and consumers.