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If y is an integer, then the least possible value of |23-5| [#permalink]
 01 Oct 2012, 04:58
Question Stats:
62% (01:22) correct
37% (00:22) wrong based on 11 sessions
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions ProjectIf y is an integer, then the least possible value of |23 - 5y| is (A) 1 (B) 2 (C) 3 (D) 4 (E) 5 Practice Questions
Question: 51
Page: 159
Difficulty: 600 GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you! _________________
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Re: If y is an integer, then the least possible value of |23-5| [#permalink]
01 Oct 2012, 04:58
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Re: If y is an integer, then the least possible value of |23-5| [#permalink]
01 Oct 2012, 05:10
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To find the value of y that yields that minimum for |23 - 5y|, I tested numbers (integers). 1: |23-5( 1)| = 18 2: |23-5( 2)| = 13 3: |23-5( 3)| = 8 4: |23-5( 4)| = 3 5: |23-5( 5)| = 2 6: |23-5( 6|| = 7 7: |23-5( 7)| = 12 The correct answer is B, 2. This is a rather simple problem that can be figured out well under the 2 minute allowance - that said, it is a bit of a trap if you're not paying attention, and mark 5 instead of 2, as 5 is the value of y that yields the answer of 2.
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Re: If y is an integer, then the least possible value of |23-5| [#permalink]
01 Oct 2012, 08:10
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Bunuel wrote: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions ProjectIf y is an integer, then the least possible value of |23 - 5y| is (A) 1 (B) 2 (C) 3 (D) 4 (E) 5 Practice Questions
Question: 51
Page: 159
Difficulty: 600 GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you! |23-5y| is the distance between 23 and the integer multiple of 5, 5y. So, the question is asking for the smallest distance between a multiple of 5 and 23. Since 20=4\cdot5<23<5\cdot5=25 and 23 is closer to 25 than to 20, the answer is |23-25|=2. Answer B.
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Re: If y is an integer, then the least possible value of |23-5| [#permalink]
01 Oct 2012, 19:40
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If y is an integer, then the least possible value of |23 - 5y| is (A) 1 (B) 2 (C) 3 (D) 4 (E) 5 The integers which are multiple of 5 & closest to 23 on the number line are either 20 or 25. Thus the minimum distance possible is 2 units Answer B
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Re: If y is an integer, then the least possible value of |23-5| [#permalink]
02 Oct 2012, 06:14
Since absolute value stands for the distance on the number line. The question asks for a shortest distance between 23 and a multiple of 5. 25 is the multilple of 5 that is closest to 23 with a shortest distance of 2. 5 is the value of y that shall yield 25 and hence the answer is E
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Re: If y is an integer, then the least possible value of |23-5| [#permalink]
02 Oct 2012, 06:18
oops!! the question asks for value of Mod and not y...sorry my bad!! the answer should be B
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Re: If y is an integer, then the least possible value of |23-5| [#permalink]
02 Oct 2012, 12:31
ratinarace wrote: oops!! the question asks for value of Mod and not y...sorry my bad!! the answer should be B Haha! see my post above about avoiding the fact this this question can be a trap depending on how you approach it.
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Re: If y is an integer, then the least possible value of |23-5| [#permalink]
04 Oct 2012, 00:59
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The two closest multiples of 5 that are closest to 23 are 20 and 25.
23 - 20 = -3 .....and |-3| = 3
23 - 25 = 2 ......and |2| = 2
Thus answer is B (2)
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Re: If y is an integer, then the least possible value of |23-5| [#permalink]
04 Oct 2012, 13:55
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Re: If y is an integer, then the least possible value of |23-5|
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04 Oct 2012, 13:55
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