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If the HCF of two numbers is 55 and the LCM is 110, then what are the two numbers? 
1. 11, 55 
2. 11, 110
3. 10, 55
4. 55, 110 

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Correct Answer - Option 4 : 55, 110 

By formula,

HCF × LCM = Product of the two numbers

55 × 110 = Product of the two numbers

⇒ 6050 = Product of the two numbers

1) 11, 55 → Product of the two numbers = 11 × 55 = 605 ≠ 6050

2) 11, 110 → Product of the two numbers = 11 × 110 = 1210 ≠ 6050

3) 10, 55 →  Product of the two numbers = 10 × 55 = 550 ≠ 6050

4) 55, 110 →  Product of the two numbers = 55 × 110 = 6050 = 6050

Therefore, the two numbers are 55 and 110.

Hence, ‘55, 110’ is the correct answer.

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