TS ICET 30th Sep 2020 Shift-2

Two persons A and B undertook to do a piece of work for Rs.6534. A alone can do it in 12 days and B alone can do it in 18 days. If they finished that with the help of C in 6 days, then the share of C in that work is (in rupees)

The area of a rhombus if its perimeter is 40 cm and one of its diagonals is 16 cm (in sq.cm) is

Around a circular field of radius 5 meters, there is a path of 2 meter wide. Then the area of the path (in sq. m) is

Two metallic right circular cones with same base with the radius 2.1 cm, and height 4.1 cm and 4.3 cm have been melted and recast into a sphere. The surface area (in sq.cm) of that sphere is

The ratio of the curved surface area and the total surface area of a right circular cylinder is 1 :  2. If its total surface area is 616 sq.cm, then the volume (in $$cm^{3}$$) of that cylinder is

If four circular plates of radius 5 cm are placed such that each plate touches two other. Then the area of the hallow space between them, in $$cm^{2}$$, is (take $$\pi = \frac{22}{7}$$)

A window is in the shape of a rectangle and mounted by a semi circle. If the length of the rectangle is 150 cm and the breadth of the rectangle on which the semi circlular pats stands is 70 cm. Then the area of the window, in sq.cm, is (take $$\pi = \frac{22}{7}$$)

A cylindrical vessel of radius 10 cm contains water up to a depth of 25 cm. A spherical iron ball is dropped into the vessel and the level of water is raised by 45 cm. The radius of the iron hall (in cms) is

$$(102)_{3} + (103)_{4} =$$

Let $$m \epsilon z^{+}$$ be such that m 29 (mod 72). If m = r (mod 12) and 0 $$\leq r \leq  12$$, then $$\frac{r!}{12} =$$