1. An army  contingent of 616 members is to march behind an army band of 32 members in a parade . THe two groups are to march in the same number of columns. What is the maximum number of the columns in which they can  march ? (HFC - wite statement in all the questions}

Asked by sucharitasahoo1 | 24th Nov, 2017, 06:11: PM

Expert Answer:

begin mathsize 16px style Here space we space have space to space find space maximum space possible space number space of space columns space
which space can space be space made space considering space both space 616 space and space 32
Maximum space number space of space columns space which space is space common space to space both space the space groups space
equals space HCF space left parenthesis 616 comma space 32 right parenthesis space space
Now comma
616 space equals space left parenthesis 32 space straight x space 19 right parenthesis space plus space 8 space
32 space equals space left parenthesis 8 space straight x space 4 right parenthesis space plus space 0 space
Remainder space in space this space case space is space zero. space
therefore space HCF space left parenthesis 616 comma space 32 right parenthesis space equals space 8 space space
Hence comma space the space maximum space number space of space columns space equals space 8. end style

Answered by Arun | 24th Nov, 2017, 06:55: PM