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The HCF and LCM of two numbers are 13 and 455 respectively. If one of the number lies between 75 and 125, then, that number is :
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- 78
- 91
- 104
- 117
Correct Option: B
Given that , HCF = 13 , LCM = 455
Let the numbers be 13p and 13q , Where p and q are co-prime.
∴ LCM = 13pq
∴ 13pq = 455
| ∴ pq = | = 35 = 5 × 7 | 13 |
∴ Numbers are 13 × 5 = 65 and 13 × 7 = 91
