March 2021

Find the capacity of a conical vessel that is made from a semi-circular tin of radius 2.5 m.

the numbers are even and repetition of digit is not allowed.

At what value of x will the function $f(x) = \dfrac{x - 4}{x + 2}$ is discontinuous?

Find the maximum and minimum values of

$$ 3^{\sin x} for 0^\circ \le x \le 360ˆ\circ $$

Two triangles have equal bases. The altitude of one triangle is 3 units more than its base while the altitude of the other is 3 units less than its base. If the areas of the triangles differ by 21 square units, find the altitude of the smaller triangle.

In how many ways can you line up 5 persons if two persons refuse to follow each other?

Find the sum of the first terms of the progression 2, 4, 8, 16,…

The sum of the digits of a 3-digit number is 17. The hundred’s digit is twice the unit’s digit. If 396 be subtracted from the number, the order of the digits will be reversed. Find the number.

If one third of the air in the tank is removed by each stroke of an air pump, what part of the total air will be removed in 6 strokes?

Chords AB and AC are drawn on a circle of radius 10 inches. Find the angle between the chords if the arc BAC is 28 inches long.