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Quantitative Aptitude Quiz 33

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Question 1

Three identical cones with base radius r are placed on their bases so that each is touching the other two. The radius of the circle drawn through their vertices is:

Question 2

Nupur goes to Kashipur from Bareily at 6 km/hr and returns to Bareily from Kashipur at x km/hr. What is the value of x, if average speed of Nupur while going and coming back is 12 km/hr?

Question 3

10 people amongst whom are A, B and C are speaking at a function. Find number of ways in which it can be arranged if A wants to speak before B and B wants to speak before C?

Question 4

A piece of paper is in the shape of a right angled triangle and is cut along a line that is parallel to the hypotenuse, leaving a smaller triangle. There was a 35% reduction in the length of the hypotenuse of the triangle. If the area of the original triangle was 34 square inches before the cut, what is the area (in square inches) of the smaller triangle?

Question 5

Let f(x) = ax2 – bx, where a and b are constants. Then at x = 0, f(x) is:
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Apr 14CAT & MBA