Which element does not belong to K={x∈N: x is a multiple of 8 and x<60}?
Answer and explanation
Correct answer: 64
Membership in K requires satisfying both conditions: the number must be a multiple of 8 and it must be less than 60. Numbers 24, 40, and 56 meet both requirements because they are 8×3, 8×5, and 8×7 respectively. Although 64=8×8 is a multiple of 8, it is greater than 60, so it fails the inequality. Therefore option D does not belong to K.
Frequently asked questions
What is the correct answer to this question?
64
Why is this the correct answer?
Membership in K requires satisfying both conditions: the number must be a multiple of 8 and it must be less than 60. Numbers 24, 40, and 56 meet both requirements because they are 8×3, 8×5, and 8×7 respectively. Although 64=8×8 is a multiple of 8, it is greater than 60, so it fails the inequality. Therefore option D does not belong to K.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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