Let O = {x : x is a positive factor of 24 and x is odd}. What is O?
Answer and explanation
Correct answer: O = {1, 3}
The positive factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24. From this list, only 1 and 3 are odd; all the others are even. Therefore, applying both conditions together gives O = {1, 3}. Option B wrongly includes 5, which is not a factor of 24, while the other options include even or unsuitable numbers.
Frequently asked questions
What is the correct answer to this question?
O = {1, 3}
Why is this the correct answer?
The positive factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24. From this list, only 1 and 3 are odd; all the others are even. Therefore, applying both conditions together gives O = {1, 3}. Option B wrongly includes 5, which is not a factor of 24, while the other options include even or unsuitable numbers.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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