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 Multiple Choice QuestionsMultiple Choice Questions

1.

Consider 5 independent Bernoulliís trials each with a probability of success p. If the probability of at least one failure is greater than or equal to 31/32, then p lies in the interval

  • (1/2, 3/4]

  • (3/4, 11/12]

  • [0, 1/2]

  • [0, 1/2]

250 Views

2.

If two different numbers are taken from the set {0, 1, 2, 3, ......., 10), then the probability that their sum, as well as absolute difference, are both multiple of 4, is

  • 7/55

  • 6/55

  • 14/55

  • 14/55

259 Views

3.

For three events A, B and C,
P(Exactly one of A or B occurs)
= P(Exactly one of B or C occurs)
= P(Exactly one of C or A occurs) = 1/4and P(All the three events occur simultaneously) = 1/16.Then the probability that at least one of the events occurs, is

  • 3/16

  • 7/32

  • 7/16

  • 7/16

410 Views

4.

One ticket is selected at random from 50 tickets numbered 00, 01, 02, ... , 49. Then the probability that the sum of the digits on the selected ticket is 8, given that the product of these digits is zero, equals

  •  1/14

  • 1/7

  • 5/14

  • 5/14

168 Views

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5.

The average marks of boys in a class is 52 and that of girls is 42. The average marks of boys and girls combined is 50. The percentage of boys in the class is

  • 40

  • 20

  • 80

  • 80


C.

80

52x + 42y = 50
(x + y) 2x = 8y

rightwards double arrow space straight x over straight y space equals 4 over 1
and space fraction numerator straight x over denominator straight x plus straight y end fraction space equals space 4 over 5
therefore space percent sign space of space boys space equals space 80

143 Views

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6.

Suppose a population A has 100 observations 101, 102, … , 200, and another population B has 100 observations 151, 152, … , 250. If VA and VB represent the variances of the two populations, respectively, then VA/VB is 

  • 1

  • 9/4

  • 4/9

  • 4/9

387 Views

7.

At an election, a voter may vote for any number of candidates, not greater than the number to be elected. There are 10 candidates and 4 are of be elected. If a voter votes for at least one candidate, then the number of ways in which he can vote is

  • 5040

  • 6210

  • 385

  • 385

124 Views

8.

The probability that A speaks truth is 4/ 5 , while this probability for B is 3/ 4 . The probability that they contradict each other when asked to speak on a fact is

  • 3/20

  • 1/20

  • 7/20

  • 7/20

141 Views

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9.

From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on a shelf so that the dictionary is always in the middle. The number of such arrangements is

  • At least 750 but less than 1000

  • At least 1000

  • Less then 500

  • At least 500 but less than 750


10.

The probability that a non-leap year selected at random will have 53 Sunday is,

  • 0

  • 1/7

  • 2/7

  • 3/7


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