TS ICET 27th July 2022 Shift-1

If 3 men or 4 women can reap a field in 43 days, how long will 7 men and 5 women take to reap it?

Four circles each of radius a cm are touching each other in pairs as shown in the figure. The area of the shaded region (in sq.cm) between the circular, as shown in this figure is

The area of a rectangle is 3 times that of a square. The length of the rectangle is 16 m more than the side of the square while the breadth is $$\frac{1}{2}$$ of the side of the square. Then the perimeter of the rectangle, in meters, is

If the slant eight and radius of a right circular cone are in the ratio 5 : 4 and its volume is 432$$\pi$$ cubic feet, then the height of the cone, in feet, is

A metal solid cylinder of height 64 feet and base radius 6 feet is melted and cast in the form of a solid sphere, then the surface area of the sphere,(in square feet), ts

A Square field of side 34 feet is surrounded by a path of uniform width. If the cost of fixing tiles on this path at the rate of Rs.30 per sq. feet is Rs.15750, then the width of the path (in feet) is

The sides of a rectangular park are in the ratio 4 : 3 and its area is 8112 sq. m. Then the cost of fencing around the park at Rs.6 per meter, in rupees, is

The radius and length of a cylindrical roller are 25cm and $$2\frac{1}{2}$$ m respectively. Then the area it covers in 35 rounds, in square meters, is (take $$\pi =\frac{22}{7}$$)

If $$3^{58} \equiv r$$ (mod 28) and $$0 \leq r \leq 27$$, then r =

The number of real solutions of the equation $$2x^{2} - 5 |x| + 2 = 0$$ is