TS ICET 19th August 2021 Shift-1

Two persons A and B together can finish a piece of work in 12 days, while B and C can together finish the same piece of work in 16 days. If A, B, C work together, they can finish it in 8 days. Then the number of days required for C alone to compete the work is

The area of a squa1e is 196 sq.cm. whose side is haJf of the rndins of a circle. The circumference of the cirde is equal to the breadth of a rectangle. If the perimeter of rectangle is 712 cm. the length (in cm) of the rectangle is

A window is in the shape of a rectangle sunnounted by a semi circle on the width of the rectangle. If 12 cm. 8 cm are the sides of the rectangle, then the area of the wndow ( in cm$$^2$$) is

120 boys tak:e a clip simulrnneonsly into a swimming pool of length 80m and breadth 30 m. If tl1e average displacement of water spilled over by one boy is 5 m$$^3$$, then the raise in the water level (in m3) of that swimming pool will be

Volume of a right circular cone having base radius 70 cm and curved surface area 40040 cm$$^2$$ is (in cm$$^3$$)

A spherical ball, when immersed in a cylinder of base radius 7 cms., raises the level of water in the cylinder by 2 cms. Then the radius of the ball (in cm)

A cuboid of dimension 16 cm $$\times$$ 12cm $$\times$$ 8 cm is cut into 24 equal small cubes. Then the length of the side of ea.ch small cube in cm, is

The sum of the dimensions of a cuboid is l3 cm and its diagonal is $$5\sqrt{3}$$ cm. Its surface area (in cm$$^2$$) is

$$(465)_7 + (535)_7 = $$

$$(465)_7$$ in Binary system is