Good luck stand

Logic Level 3

In ABC School there are 98 students in 1st standard. The students were in a mood to play a game. So the class teacher came out with a very interesting game. She made all the 98 students stand in a line and asked them to count off in sevens as ‘one, two, three, four, five, six, seven, one, two, three, four, five, six, seven,’ and so on from the first person in the line. The teacher then told them that the students who say ‘seven’ to move one step back. Those remaining repeat this procedure, starting again from the first student, until only six students remain in the line. What was the original position in the line of the student, who will be last in the queue, when only six students are left?

97 23 54 6

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1 solution

Gautam Arya
Sep 21, 2017

If we make students stand in a row starting from 1 to 98 then all multiples of 7 will be eliminated first. If you look at the question carefully it says 7 t h 7^{th} person is eliminated every time. So, after first elimination of 7, 6 t h 6^{th} is protected by the next number. so 6 will be last in the queue.

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