If L = {x : x is a positive multiple of 11 less than 100}, what is n(L)?
Answer and explanation
Correct answer: 9
The governing idea is the cardinality of a finite set, found by counting its distinct members. The positive multiples of 11 below 100 are 11×1 through 11×9: 11, 22, 33, 44, 55, 66, 77, 88 and 99. The next multiple is 110, which is not less than 100. Thus L has 9 elements, so option B is correct.
Frequently asked questions
What is the correct answer to this question?
9
Why is this the correct answer?
The governing idea is the cardinality of a finite set, found by counting its distinct members. The positive multiples of 11 below 100 are 11×1 through 11×9: 11, 22, 33, 44, 55, 66, 77, 88 and 99. The next multiple is 110, which is not less than 100. Thus L has 9 elements, so option B is correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: General chapter practice.
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