Question : The LCM of the two numbers is 840 and their HCF is 7. If one of the numbers is 56, find the other.
Option 1: 120
Option 2: 112
Option 3: 105
Option 4: 84
Correct Answer: 105
Solution : Given that the LCM is 840, the HCF is 7 and one of the numbers is 56. Let the other number be $x$. We know, LCM × HCF = Number1 × Number2 Substituting the given values into the equation: $⇒840 × 7 = 56 × x$ $\therefore x = 105$ Hence, the correct answer is 105.
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