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Deloitte aptitude placement paper


I have been searching for a job since 6 months. Last month, I appeared for an interview at Deloitte. Unfortunately I could not make through but thought that the placement questions I faced might help some of you out there. 

Amitabh forms rows and columns of 18496 pebbles on floor such that there are as many rows as there are pebbles in each row. The number of rows is
a) 126 b) 146 c) 136 d) 156

Find the H.C.F. of 2/3, 3/9, 16/81 and 10/27.
a) 2/81 b) 80/3 c) 2/67 d) 3/19

10 kg of black soil at Rs. 12 per kg is mixed with 8 kg of white soil to get a mixture costing Rs. 14 per kg. Find the price of costlier soil?
a) Rs. 15.5 b) Rs. 16.5 c) Rs. 18 d) Rs. 19

A circular dartboard of radius 1 foot is at a distance of 20 feet from you. You throw a dart at it and it
hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery?
a) 0.75 b) 1 c) 0.5 d) 0.25

There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is
a)1/2 b)14/19 c)37/38 d)3/4

A bus is hired at the rate of Rs. 320 per day for a picnic. Since some people did not turn up, the average contribution was Rs. 48 more per person per day than before. How many people were expected, and how many turned up? 
a.) 8, 5 b.) 5, 2 c.) 10, 4 d.) 5, 4

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