TS ICET 2018 Shift 2

A. B and C can independently complete a work in 10, 15 and 20 days respectively. If they start the work together and A leaves after 2 days and B
leaves after 4 days the numberof days required for the completion of work is

An equilateral triangle is inscribed in a circle of 462 sq.cms. The perimeter(in cms) of the triangle is

The perimeter of rhombus is 68 meters and one of its diagonals is 16 meters. The area of the rhombusis (in sq.ms.)

Three solid metal cubes whose sides are in the ratio 3:4:5 are melted and made into a single cube. If length of the diagonal of this single cube is 48 V3 meters then the side of the smallest of the three cubes is?

A solid cylinder of diameter 24 cm and height 10 cm is melted and cost into spheres of diameter 12 cm each. What will be the number of solid spheres made

The base and height of a triangle are in the ratio 4:3 and its area is 54 sq. cm. What is its height?

Area of the rhombus whose diagonals are 36 cm and 20 cm

What is the cost of fencing around a circularfield of diameter 28 meters at the rate of Rs. 10 per meter?

If $$11011_2 + 11101_2 + 1111_2 + 1001_2 = X_{10}$$ then $$X =$$

If $$k_1, k_2$$ are natural numbers such that
(i) $$2^{k_1} \mid 10!$$ but $$2^{k_1 + 1} \mid 10!$$ and (ii) $$5^{k_2} \mid 10!$$ but $$5^{k_2 + 1} \mid 10!$$ then