A) 8
B) 16
C) 24
D) None of these
Correct Answer: A
Solution :
| Sol. [a] The required greatest number is HCF of \[(121-1),\]\[(226-2)\]and \[(259-3)\] i.e., 120. 224 and 256. |
| \[120=2\times 2\times 2\times 3\times 5={{2}^{3}}\times 3\times 5\] |
| \[224=2\times 2\times 2\times 2\times 2\times 7={{2}^{5}}\times 7\] |
| and \[256=2\times 2\times 2\times 2\times 2\times 2\times 2\times 2={{2}^{8}}\] |
| \[\therefore \,\,\,\,\,\,\,HCF(120,224,256)={{2}^{3}}=8\] |
You need to login to perform this action.
You will be redirected in
3 sec
