| The HCF and LCM of two numbers are 21 and 4641, respectively. If one of the numbers lies between 200 and 300, then the two numbers are |
A) 273, 357
B) 273, 361
C) 273, 351
D) 273, 263
Correct Answer: A
Solution :
| Product of the numbers \[=\text{HCF}\times \text{LCM}=21\times 4641\] |
| \[21\times 4641=21\times 3\times 7\times 13\times 17\] |
| \[=3\times 7\times 3\times 7\times 13\times 17\] |
| \[\therefore \]The numbers can be \[3\times 7\times 13=273\] and \[3\times 7\times 17=357\] |
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