## A hundred people participated in a flash mob. First, they formed a circle. MJ marked as number one had a torch. He pointed the tor

Question

A hundred people participated in a flash mob. First, they formed a circle. MJ marked as number one had a torch. He pointed the torch at the person next to him, Ravi, and passed the torch to the person marked as third. Meanwhile, Ravi walked away from the circle. The passing of the torch and the walking away from the circle continued till only one dancer remained. What’s the number of the last dancer?

in progress
0

Mathematics
2 years
2021-07-15T13:55:56+00:00
2021-07-15T13:55:56+00:00 1 Answers
0 views
0
## Answers ( )

Given :A hundred people participated in a flash mob. First, they formed a circle. MJ marked as number one had a torch. He pointed the torch at the person next to him, Ravi, and passed the torch to the person marked as third. Meanwhile, Ravi walked away from the circle. The passing of the torch and the walking away from the circle continued till only one dancer remained.To Find :number of the last dancer a) 88

b) 78

c) 85

d) 73

Solution:cycle 1

walk away 2 4 6 8 10 _____________ 98 100

remaining 1 3 5 7 9 _________ 97 99

Cycle 2 :

walk away 3 7 11 15 _________ 95 , 99

remaining 1 5 9 _______ 93 , 97

Cycle 3

walk away 5 13 21 _______ 93

Remaining 1 9 _____ 89 , 97

Cycle 4

walk away 1 17 33 49 65 81 97

remaining 9 25 41 57 73 89

Cycle 5

walk away 25 57 89

Remaining 9 41 73

Cycle 6

walk away 41

Remaining 9 73

Cycle 7

Walk away 9

Remaining 73

Hence dancer number 73 is remaining

Learn more:

In front of a demon called Vishmaasur, 1000 people are lined up ..

brainly.in/question/16484974

Please solve this riddle :एक आदमी के पास 25 गाय है। सभीको …

brainly.in/question/16577634

Slove this puzzle: Steve is taking a bus to Central Park. Steve tells …

brainly.in/question/16527207

What do you put on the table and cutbut never eat?923 83000Song …

brainly.in/question/13400406