Latest self Aptitude Question SOLUTION: 6 boys pick a captain by forming a circle then eliminating every n'th boy. The 2nd boy in the counting order can choose n. If he wants to be captain what's the smallest n he should

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(#M40007762) SELF question Keep an EYE

6 boys pick a captain by forming a circle then eliminating every n'th boy. The 2nd boy in the counting order can choose n. If he wants to be captain what's the smallest n he should pick?

aruanva (12 years ago)

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HARMEET KAUR  (12 years ago)

The 2nd boy in the counting order can choose n. If he wants to be captain ,
the smallest n he should pick should be 10.

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Shravan Kumar  (12 years ago)

Let the boys names be A B C D E F and let counting start from A.
Since B decides n,we have to check the elimination sequence for each n and find in which B stays in the end.
for n=1,ABCDEF-BCDEF-CDEF
for n=2,ABCDEF-ACDEF
for n=3,ABCDEF-ABDEF-ABDE-ABE-AE
for n=4,ABCDEF-ABCEF-ACEF
for n=5,ABCDEF-ABCDF-ABCF-ABC-AC
for n=6,ABCDEF-ABCDE-BCDE-BDE-DE
for n=7,ABCDEF-BCDEF-BDEF-BDE-DE
for n=8,ABCDEF-ACDEF
for n=9,ABCDEF-ABDEF-BDEF-DEF
for n=10,ABCDEF-ABCEF-ABEF-ABE-BE-B
thus minimum n is 10

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aruanva  (12 years ago)

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