A student was given a piece of rope and told to cut into two pieces, keep one piece and pass the other piece..

to the next student. Each student was to repeat this process until every student in the class had exactly one pice of rope. which of the following could b the fraction of the original rope that one the students had and why? . A. 1/14


.B. 1/15 .C.1/16 .D. 1/17 . E. 1/18.





Plz show how u arrived at ur answer

A student was given a piece of rope and told to cut into two pieces, keep one piece and pass the other piece..
First person has ------------------------------------- 1/2


Second person gets 1/2 of 1/2 which is -------- 1/4


Third person gets 1/2 0f 1/4 which is ----------- 1/8


Fourth person gets 1/2 of 1/8 which is ---------- 1/16


Fifth person gets 1/2 of 1/16 which is ----------- 1/32





Obviously the answer is 1/16 which is the fourth person
Reply:In order for C to be the correct answer, each student needs to cut the rope not just into two pieces, as written in your answer, but into two equal pieces (meaning: they have to cut the rope in half). The best explanation for this was given above by ZackeX, but he/she didn't take into account the fact that your question didn't specify if the rope was cut in half each time. If the students cut the rope in half, answer C is correct as long as there are at least 4 students in the class, since the forth student will be the one with the piece in this length. Since there was nothing in the question to limit the number of students, then it is the correct answer, and you don't need to listen to the ones telling you that you need to know the number of students.


However, if the students could cut the rope anyway they wanted, then each of the options you suggested (A-E) can be correct, since each student could keep to himself whatever fraction of the original rope he/she desired.
Reply:The answer is C. 1/16. Why? because the length of the remaining rope is give by (1/2)^n, with n being the number of people the rope has passed through...half times half times half and so on. 1/16 =1/2^4 that is to say, 1/16 is the only exponent of 1/2 from the answers above and is therefore the correct answer.
Reply:theres some flaw in this question. Pls check.


You forgot something
Reply:Just to clarify, I think you want to know what fraction of the original rope does the first student have in relation to the rest of the rope ('tho no number of students was given). The answer is 1/2 or 50%. Reason. No matter how many students there are in the class, the first half that the first student have will never by cut if your instruction is to be followed.
Reply:which one do you want to check??


our EQ or our mathematic knowledge?


if you want to check EQ you should put a chioce that was none of them,


IF you want to know how smart are we in mathematic then it was better to tell us %26lt;%26lt;how many students%26gt;%26gt;??
Reply:Doesn't this depend on how many students there are in the class?
Reply:alea is correct
Reply:on the given scene, any answer can be true.





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Reply:it could be any of them depending on how big the first person cut the rope
Reply:IF each student is to cut the rope in HALF, then the answer is C (1/16). otherwise, any one can be an answer.





first cut = 1/2


second cut = 1/2 X 1/2 = 1/4


third cut = 1/2 X 1/2 X 1/2 = 1/8





the length of the remaining rope = 1/2^n where n is the number of cut.





only 1/16 can be represented as 1/2^n where n is an integer.
Reply:1/16 is my GUESS. i'd think that since the rope was divided in half each time that would be the answer. you would divide first 1/2 (the first guy will have half the rope), then 1/4, then 1/8 then 1/16. but get some more opinions first.
Reply:answer: C. This is because one student will get 1/2 the rope then the next student will get 1/2 of that half which is 1/4 of the original. next will get 1/8 of the original and the student after that will get 1/16 of the original rope. each student gets half of the peice of rope given to them and so the fraction is divided by 2 each time the rope is cut in half.