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when W is divided by 14, the reminder is 0. if W is three le
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09 Dec 2015, 01:00
09 Dec 2015, 01:00
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Question Stats:
50% (04:47) correct
50% (04:12) wrong based on 2 sessions
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when W is divided by 14, the reminder is 0. if W is three lesser than it value and when divided by 15 its remainder is 14. what is the value of W ?
ans- 182, but i can not find any approach how to find
ans- 182, but i can not find any approach how to find
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Joined: 16 May 2014
Posts: 592
Given Kudos: 0
GRE 1: Q165 V161
Re: when W is divided by 14, the reminder is 0. if W is three le
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10 Dec 2015, 13:42
10 Dec 2015, 13:42
Expert Reply
Explanation
Interesting problem :) But i am afraid there is no singular answer. If there are options given then only you can select an answer. I have mentioned a method below:
Since W is a multiple of 14, we can write W = 14n. Again based on your second statement, we can write W-2 = 15m [self-explanatory...W-3 = 15(m-1)+14 ] ... after some steps you will come to the following steps:
14n -2 = 15m...
14n -2 = 14m + m...
14(n-m) = m + 2... (i)
From the above equation, it can be concluded that the RHS of the equation must be a multiple of 14 since n and m are positive integers. So m+2 must be a multiple of 14. So the possible values of m are 12,26, 40 etc. In that case n becomes 13, 28, 43 respectively. Then W becomes 182, 392, 602 respectively.
Re: when W is divided by 14, the reminder is 0. if W is three le
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10 Dec 2015, 18:49
10 Dec 2015, 18:49
soumya1989 wrote:
Explanation
Interesting problem
But i am afraid there is no singular answer. If there are options given then only you can select an answer. I have mentioned a method below:Since W is a multiple of 14, we can write W = 14n. Again based on your second statement, we can write W-2 = 15m [self-explanatory...W-3 = 15(m-1)+14 ] ... after some steps you will come to the following steps:
14n -2 = 15m...
14n -2 = 14m + m...
14(n-m) = m + 2... (i)
From the above equation, it can be concluded that the RHS of the equation must be a multiple of 14 since n and m are positive integers. So m+2 must be a multiple of 14. So the possible values of m are 12,26, 40 etc. In that case n becomes 13, 28, 43 respectively. Then W becomes 182, 392, 602 respectively.
thank you
