TS ICET 28th July 2022 Shift-1

A works twice as fast as B. working together they complete a job in 14 days.
In how many days will B, working alone complete the job?

ABCD is a quadrilateral in which the length of the diagonal AC = 1.4 meters and the lengths of the perpendiculars drawn from B and D on AC are 80 cm and 50 cm respectively. The area of ABCD ( in sq. m.) is

A rectangular lawn of dimension 80m $$\times$$ 60m has two roads each of 10m wide are made in the middle and parallel to its length and breadth. Then the area of the roads in sq. m is

Volume of a right circular cone having base radius 70 cm and curved surface
area 40040 $$cm^{2}$$ is

A wall of dimensions 25m $$\times$$ 2m $$\times \frac{3}{4}$$ m is to be built by using bricks each of whose dimensions are 20cm $$\times$$ 10 cm $$\times$$ 7.5 cm. The number of bricks are needed to build this wall is

A solid consists of a circular cylinder with a right circular cone exactly fitted on the top. The height of the cone is h. If the total volume of the solid is three times the volume of the cone, then the height of the circular cylinder is

A metallic solid cylinder of 14cm diameter and 32cm height is cast into 77 solid cubes of equal size. Then the length of side of the cube (in cm) is

If the diagonals of a rhombus are 30 cm and 24 cm. Then its area, in sq. cm. is

The remainder when $$33^{32}$$ leaves upon division by 7 is

The digit in the units place of $$7^{300}$$ is