AP ICET 2012

Instructions

For the following questions answer them individually

Question 101

Three persons can complete a work individuallyin 6 days, 8 days and 12 days respectively If all the three persons work together the number of days required to complete the same work is

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Question 102

A, B and C can do a work individually in 20 days, 15 days and 25 days respectively. To complete the work fast, which of the two are to be assigned the work?

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Question 103

A cube has a volume of 128 cm*.It is ofa divided into 8 equal cubes. Then the ratio of an edge of a smaller cube to an edge of the original cube is.

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Question 104

The volume of a cube (in cubic centimeters), whose total surface area is 384 square centimeters, is

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Question 105

The volume(in proper units) of the cone with r as the radius of the circular base and having height h is

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Question 106

If n is the maximum number of solid cubes with an edge of length 0.2 cm that can be put in a box whose dimensions are 1 cm x 1 cm x 4cm then n =

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Question 107

The lengths of the sides of a right angled triangle are in the ratio 3:4. The area of the triangle is 726 square units. Then the length of the hypotenuse (in proper units) is

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Question 108

The ratio of the radii of twocircular ars A and is 2:3 andthatof their heights is 5:3. If the volumeofthe cylinder B is 27 m3, then the volumeofthe cylinder A in cubic meters is.

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Question 109

The number of elements in the set
E = {n : n integer, 500 $$\leq$$ n $$\leq$$ 700 and n is divisible by 11} is

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Question 110

If $$3^{58} \equiv r$$(mod 5) and $$0 \leq r \leq 4$$, then r =

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