TS ICET 2022 Question Paper Shift-1 (27th July)

Instructions

For the following questions answer them individually

Question 101

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?

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Question 102

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

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Question 103

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

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Question 104

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

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Question 105

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

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Question 106

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

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Question 107

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

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Question 108

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 $$\pi =\frac{22}{7}$$)

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Question 109

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

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Question 110

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

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