| Find the maximum number of girls, among whom 2923 bags and 3239 eyeliners can be distributed in such a way that each girl gets the same number of bags and eyeliners. [NICL and GIC (AO) 2013] |
A) 80
B) 79
C) 78
D) 81
E) None of these
Correct Answer: B
Solution :
| Here, we have to find maximum number. Hence here we have to find out the HCF of 2923 and 3239. So, find the HCF of these two numbers by factorization method. |
| i.e. \[2923=37\times 79\]\[\Rightarrow \]\[3239=41\times 79\] |
| \[\therefore \] \[\text{HCF}=79\] |
| Hence, maximum number of girls = 79 |
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