A) 6
B) 2
C) 4
D) 8
Correct Answer: C
Solution :
| [c] Let the numbers be 66 a and 66b, where a and b are co-primes. According to the question, \[66\,a+66\,b=1056\] \[\Rightarrow \] \[66\,\,(a+b)=1056\] \[\therefore \] \[(a+b)=\frac{1056}{66}=16\] \[\therefore \] Possible values of a and b are (a =1, 6 =15), (a = 3, b = 13) (a = 5, b = 11), (a = 7, 6 = 9) \[\therefore \]Numbers are \[(66\times 1,\,66\times 15),\] \[(66\times 3,\,66\times 13),\] \[(66\times 5,\,66\times 11),\] \[(66\times 7,\,66\times 9),\] \[\therefore \] Possible number of pairs = 4 |
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