TS ICET 2021 Question Paper Shift-2 (19th Aug)

Three persons A, B and C could complete a piece of work individually in 24, 30 and 40 day, respectively. All the three started the work together but, C left the work before 4 days of its completion. In how many days was the work completed?

The sides of a triangle area cm, 8 cm and 9 cm long. Its area in ($$cm^{2}$$)

The length and breadth of a rectangle are in the ratio 8 : 5. If the area of the rectangle is 1000 $$m^{2}$$, then the perimeter of the rectangle (in meters) is

The volume of a right circular cone of height 12 cm and base radius 6 cm is equal to half of the volume of a sphere. Then the radius of the sphere (in cm) is

How many solid spherical balls of diameter 1.5 cm can be made by melting a cylindrical metal of height 20 cm and a base diameter of 12 cm?

A rectangular tank is 5 m long and 2.9m deep. If 100 $$m^{3}$$ of water is pumped out of the tank, then the water level is reduced by 20 cm. Then the full capacity of the tank (in $$m^{3}$$) is

An open box, made of wood 3 cm thick has external dimensions 1.46 m, 1.16 m and 8.3dm. The cost of painting the inner surface of the box at the rate of Rs.0.50 per 100 sq.cm. is (in rupees)

In a rectangular plot of 500 m $$\times$$ 300 m roads of 2 m wide are laid joining the mid points of the opposite sides and also a path of same width running inside and along the length and the breadth of it. How much of the area of the plot left excluding the roads and the path (in sq. m.)?

The digit in the units place in the decimal expansion of $$7^{151}$$ is

The remainder when $$2{81}$$ is divided by 17 is