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If the LCM of two numbers is 84 and their HCF is 7, and one of the numbers is 21, what is the other number?

1. 28
2. 14
3. 49
4. 35

Correct answer: 28

Solution

For two numbers a and b, a × b = LCM × HCF. So the product is 84 × 7 = 588. If one number is 21, the other is 588 ÷ 21 = 28.

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