Basic Numeracy/Quantitative Aptitude

68. Eight cardboard boxes are standing on the table. Two among them contain a present, the other six are empty. You are allowed to open two boxes. How much chance do you have to find at least one present?

	(a) 7/16
	(b) 9/16
	(c) 15/28
	(d) 13/28

69. Peter, Mark, Anne and Rose are four good friends. They belong to a group of sixty pupils who are to be divided at random into three classes of twenty. What's the probability of all four friends sharing the same class?

	(a) 1/12
	(b) 1/81
	(c) 19x18x17/59x58x57
	(d) 1/64

70. I have thirty socks in total disorder in my closet. Ten are black, ten are red and ten are brown, but I can't distinguish the colours in the dark. How many socks do I have to take to have at least one pair of the same colour?

	(a) 12
	(b) 11
	(c) 4
	(d) 3

71. There are seven cups of tea. Two among them contain a deadly poison that acts within an hour. You and I both drink one cup simultaneously. How big is the chance that we both survive?

	(a) 10/21
	(b) 25/49
	(c) 11/21
	(d) 24/49

72. If someone answers these ten multiple choice questions totally at random, what is the chance that he has all answers wrong?

	(a) 1/1,048,576
	(b) 243/1,024
	(c) 1/1,024
	(d) 59,049/1,048,576

TOTAL

Detailed Solution

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