Set-theory Questions Set 1:
If sin x = 0 then x = _____
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How many multiples of both 3 or 4 are there from 1 to 100 in total ?
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If P = Q then P X Q = Q X P is true or not?
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If set A has 2 elements and set B has 3 elements then how many subsets does A X B have ?
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If set P has 4 elements and set Q has 5 elements then find the number of elements in P X Q.
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If A X B = {(1, a), (1, b), (1, c), (2, a), (2, b), (2, c)} then find set A.
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In a family of 10 members, 7 of them like tea or coffee, 4 of them like tea and 5 of them like coffee. How many of them like both tea and coffee?
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In a population of 1000 people, 700 people play football, 600 people play cricket, and 100 people play both. Is the data correct?
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In a group of students, 100 students know Hindi, 50 know English and 25 know both. Each of the student knows either Hindi or English. How many students are there in the group?
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In a committee, if 50 people speak French, 20 people speak Spanish, 10 people speak both the languages, then how many people speak at least one of the two languages?
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