AP ICET 11th September 2020 Shift-1

Instructions

For the following questions answer them individually

Question 101

A and B undertake to do a piece of work for Rs 1000. A alone can do it in 5 days and B alone can do it in 10 days. With the help of C, all the three together finished it in 2 days. The amount (in Rs.) C gets for his part of work is

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Question 102

The cost (in Rs.) of painting the four walls and the ceiling of a room with length, breadth and height respectively 5m, 4m, 3.5m, if the rate of painting is Rs 115 per sq.meter is

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Question 103

4 cows are tethered one each to the 4 corners of a square field of side 56 meters for grazing so that they can reach one another on its sides at the midpoint. The area (in sq.meters) left un-grazed by the cows is (Take $$\pi = \frac{22}{7}$$)

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Question 104

If the volume of a sphere and a cube are equal, then the ratio of their respective surface areas is

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Question 105

A solid cylinder of height 20 cm and diameter 10 cm is melt and recast into two cones whose volume, are in the ratio of 1 : 2 by keeping each of their height 20cm. The ratio of the volume of the original cylinder of that of the bigger cone is

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Question 106

A cone is cut along its slant height and unfolded to from a sector. If the slant height and radius of the cone are respectively l and r, then the area (in sq.units) of the sector is

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Question 107

If 12 cm and 14 cm are respectively the lengths of the adjacent sides of a parallelogram and length of one of its diagonal is 16 cm, then the length of the other diagonal (in cms) is

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Question 108

The perimeter of a rhombus is 146 cm. One of its diagonal is 55cm. The area of that rhombus is (in sq.cm)

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Question 109

Let $$mโˆˆโ„ค^{+}$$ such that, m = 15(mod 24). For $$0 \leq x < 6$$, if $$m = x$$ (mod 6), then $$x =$$

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Question 110

The set of values of $$x$$, for which the expression $$\frac{2}{\sqrt{x- \mid x \mid}}$$ is real, is

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