List of top Questions asked in UP Board X

Who is the author of the lesson ‘His First Flight’ ?
Who had invited Rajvir to visit his home in Upper Assam ?
Complete the following sentence :
I will not go to his party __________ he invites me.
Complete the following sentence :
This young man is true __________ his word.
Rearrange the following words cluster to make a meaningful sentence :
last / raining / it / been / night / has / since
Sum of two numbers is 8 and sum of their inverses is \( \frac{8}{15} \). Find the numbers.
Find two consecutive positive integers whose sum of squares is 365.
Sum of the digits of a two-digit number is 12. The number formed by interchanging the digits is 18 more than original number. Find the number.
Find the roots of the quadratic equation \( \sqrt{3}x^2 - 11x + 8\sqrt{3} = 0 \).
Find the median from the following data :
A solid is of the cylindrical shape and its both ends are hemispherical. The total height of the solid is 19 cm and the radius of the cylinder is 3.5 cm. Find the volume and total surface area of the solid.
Slant height of a right circular cone is 13 cm and its total surface area is 90\( \pi \) cm\(^2\). Find the diameter of its base.
The angle of elevation of the top of a cable tower from the top of a building of height 7 metre is 60\(^\circ\) and the angle of depression of its bottom is 45\(^\circ\). Find the height of the cable tower.
When the angle of elevation of sun becomes \( \theta \) from \( \phi \), then the shadow of a pillar situated in a horizontal plane increases by a metre. Find the height of the pillar.
For which value of x the 2x, x + 8 and 3x + 1 will be in arithmetic progression ?
Prove that \( 2\sqrt{3} \) is an irrational number.
Volume of a cube is 729 cubic cm. Find its total surface area.
Find the co-ordinates of the point dividing the line segment formed by joining the points (2, -3) and (-4, 6) in the ratio 1 : 2.
Find the mean from the following frequency distribution :
In which ratio, does the point (–4, 6) divides the line segment made by joining the points A(–6, 10) and B(3, –8)?
The length of a tangent from a point A at a distance 7.5 cm from the centre of the circle is 6 cm. Find the radius of the circle.
Prove that the line dividing any two sides of a triangle in a same ratio is parallel to the third side of the triangle.
Area of the square which can be drawn in the circle of radius 4 cm will be
The mean from the following table will be
A die is thrown once. The probability of getting a prime number will be