If I={x:x is a two-digit multiple of 11 less than 100}, what is its roster form?
Answer and explanation
Correct answer: I={11,22,33,44,55,66,77,88,99}
A roster form lists every member explicitly. The two-digit multiples of 11 are 11×1 through 11×9, namely 11, 22, 33, 44, 55, 66, 77, 88, and 99. Each is less than 100, so option A is complete. Zero is not a two-digit number; options C and D omit valid multiples, and B incorrectly includes zero.
Frequently asked questions
What is the correct answer to this question?
I={11,22,33,44,55,66,77,88,99}
Why is this the correct answer?
A roster form lists every member explicitly. The two-digit multiples of 11 are 11×1 through 11×9, namely 11, 22, 33, 44, 55, 66, 77, 88, and 99. Each is less than 100, so option A is complete. Zero is not a two-digit number; options C and D omit valid multiples, and B incorrectly includes zero.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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