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Difficulty:
65%
(hard)
Question Stats:
47% (02:33) correct
53%
(02:44)
wrong
based on 17
sessions
History
Date
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Rakesh is standing 3 steps to the right of a Green mark and 2 steps to the left of a Pink mark. He tosses a coin. If it comes up heads, he moves one step to the left. If it comes up tails he moves one step to the right. He keeps doing this until he reaches one of the two marks, and then he stops. At which mark does he stop?
(1) He stops after 21 coin tosses.
(2) He obtains three more heads than tails.
(1) He stops after 21 coin tosses.
(2) He obtains three more heads than tails.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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05 Aug 2015, 12:35
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OA : D
G _ _ R _ P
If you observe :
No. of steps required to reach Pink mark
= 2 (Two steps right)
= 4 (One step left and 3 steps right)
= 6 (Two steps left and 4 steps right)
and so on...considering alternate left and right we can further the count
Similarly
No. of steps required to reach Green mark
= 3 (Three steps left)
= 5 (1 right and 4 left)
and so on...considering alternate right and left we can further the count
Thus from observation:- If total number of steps is even then destination is Pink. If odd then Green
Statement 1: He stops after 21 coin tosses.
Odd = Green.
Hence suff
Statement 2 : He obtains three more heads than tails
T+3 = H
Total no of tosses will be = H(no. of heads) + T(no. of tails)
Total no. of tosses = 2T + 3
2T = even number
3 = odd number
Even num + odd num = odd num
Odd = Green.
Hence suff
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
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