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A frog located at (x,y), with both x and y integers, makes successive

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A frog located at (x,y), with both x and y integers, makes successive  [#permalink]

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New post 31 Mar 2019, 22:53
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Question Stats:

43% (02:39) correct 57% (02:14) wrong based on 35 sessions

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A frog located at (x,y), with both x and y integers, makes successive jumps of length 5 and always lands on points with integer coordinates. Suppose that the frog starts at (0,0) and ends at (1,0). What is the smallest possible number of jumps the frog makes?

A. 2
B. 3
C. 4
D. 5
E. 6

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Re: A frog located at (x,y), with both x and y integers, makes successive  [#permalink]

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New post 01 Apr 2019, 05:40
Bunuel wrote:
A frog located at (x,y), with both x and y integers, makes successive jumps of length 5 and always lands on points with integer coordinates. Suppose that the frog starts at (0,0) and ends at (1,0). What is the smallest possible number of jumps the frog makes?

A. 2
B. 3
C. 4
D. 5
E. 6


There will three jumps needed as shown in figure

First Jump: (0,0) to (3,4) Pink one

Second Jump (3,4) to (6,0) Green one

Third Jump (6,0) to (1,0) Orange one

Answer: Option B
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Re: A frog located at (x,y), with both x and y integers, makes successive  [#permalink]

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New post 08 Apr 2019, 09:35
hi can anyone explain the approach to solving this question?
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Re: A frog located at (x,y), with both x and y integers, makes successive  [#permalink]

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New post 09 Apr 2019, 04:51
abhishek31 wrote:
hi can anyone explain the approach to solving this question?


It's already explained above. Let me know what doesn't make sense here..
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Re: A frog located at (x,y), with both x and y integers, makes successive  [#permalink]

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New post 09 Apr 2019, 05:15
GMATinsight wrote:
abhishek31 wrote:
hi can anyone explain the approach to solving this question?


It's already explained above. Let me know what doesn't make sense here..


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Re: A frog located at (x,y), with both x and y integers, makes successive  [#permalink]

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New post 09 Apr 2019, 06:58
Guess I didn't even understand the question.GMATinsight eraborate on your answer how you applied 5 to get the new coordinate.

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Re: A frog located at (x,y), with both x and y integers, makes successive  [#permalink]

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New post 09 Apr 2019, 07:48
Chei wrote:
Guess I didn't even understand the question.GMATinsight eraborate on your answer how you applied 5 to get the new coordinate.

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The question meant that a frog jumps with jumo length 5 units but it lands at a point where the co-ordinates are integers.

Since 5 units is diagonal length from origin to (3,4) or (4,3) so these are the only two choices that frog has to jump at.

But if it jumped at (4,3) then the final condition may not be met hence we choose that the point jumped at is ((3,4)

next it again jumps 5 units away and finally it should be 1 unit away after the third jump so x-coordinate must be 6 units away before the third jump

hence points jumped at are listed as mentioned in above mentioned solution
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Re: A frog located at (x,y), with both x and y integers, makes successive  [#permalink]

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New post 09 Apr 2019, 09:19
Aderonke01 wrote:
GMATinsight wrote:
abhishek31 wrote:
hi can anyone explain the approach to solving this question?


It's already explained above. Let me know what doesn't make sense here..


Posted from my mobile device



Hi, I wanted to understand, that how did you shortlist the points in the random plane? Lets say had it not been 5 points but 6 points jump, so how should i approach this question mathematically?
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Re: A frog located at (x,y), with both x and y integers, makes successive   [#permalink] 09 Apr 2019, 09:19
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