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Free Practice Questions on Set Theory
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S.No.
Question
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1
How many families had neither toast nor cereal nor egg?
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2
How many had egg or toast but not cereal?
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3
How many families had only two items?
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4
In a survey of 100 people, it was found that 60 people read the India Today, 55 read the Outlook and...
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In a class of 50 students, 28 like pop music, and 20 like classical music. If 10 students like one o...
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30 monkeys went to a picnic. 25 monkeys chose to irritate buffaloes, and 20 chose to irritate cows....
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7
A surveys shows that 89% of the Australians like butter whereas 79% like chocolate. It is known perc...
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8
Find the number of persons who liked all the three cities.
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Find the number of persons who liked at least two cities as a percentage of number of persons who li...
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Find the number of persons who liked exactly two cities as a percentage of the number of persons who...
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In a club, all the members are free to vote for one, two or three of the candidates. 20% of the memb...
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12
In a class of 25 students, at least one of mathematics or statistics is taken by everybody. 12 have...
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13
In a recent survey (conducted by HLL) of 1,000 houses, washing machine, vacuum cleaners and refriger...
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14
A group of tourists (104 in all) speak Bengali or Spanish or Chinese. Out of these, 66 are Bengali s...
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In the above question the number of people speaking neither Spanish nor English, is
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In Ranchi, only two newspapers The Hindustan and The Indian Express are published. It is known that...
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Which of the following sets are null sets?
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24
Number of subsets of a set of set of order three is
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25
"n/m" means that n is a factor of m, then the relation T is
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The number of elements in the power set of the set {{a, b}, c} is
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In a room containing 28 people, there are 18 people who speak English, 15 people who speak Hindi and...
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34
Order of the power set of a set of order n is
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In a beauty contest, half the number of experts voted for Mr. A and two thirds voted for Mr. B. 10 v...
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The set of all Equivalence classes of a set A of cardinality C
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Let Z denote the set of all integers.Define f:Z-->Z byf(x)={x/2 (x is even) 0 (x is...
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40
Let R be z relation "(x-y) is divisible by m", where x, y, m are integers and m > 1, then R is
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The set of all real numbers under the usual multiplication operation is not a group since
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If * is defined on R* as a * b = (ab/2) then element in the group (R*, *) is
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Let a = {2, (4, 5), 4}. Which statement is correct?
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47
Which of these sets is finite?
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48
Which of these sets is not a null set?
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Which statement best describes the venn diagram below?
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