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If y is an integer, then the least possible value of 235
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01 Oct 2012, 04:58
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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 Practice Questions Question: 51 Page: 159 Difficulty: 600
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Re: If y is an integer, then the least possible value of 235
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01 Oct 2012, 04:58
SOLUTIONIf y is an integer, then the least possible value of 23  5y is(A) 1 (B) 2 (C) 3 (D) 4 (E) 5 \(235y\) represents the distance between 23 and \(5y\) on the number line. Now, the distance will be minimized when \(5y\), which is multiple of 5, is closest to 23. Multiple of 5 which is closest to 23 is 25 (for \(y=5\)), so the least distance is 2: \(2325=2\). Answer: B.
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Re: If y is an integer, then the least possible value of 235
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01 Oct 2012, 05:10
To find the value of y that yields that minimum for 23  5y, I tested numbers (integers). 1: 235( 1) = 18 2: 235( 2) = 13 3: 235( 3) = 8 4: 235( 4) = 3 5: 235( 5) = 2 6: 235( 6 = 7 7: 235( 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 235
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01 Oct 2012, 08:10
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! \(235y\) 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 \(2325=2\). Answer B.
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Re: If y is an integer, then the least possible value of 235
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01 Oct 2012, 19:40
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 235
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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 235
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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 235
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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 235
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04 Oct 2012, 00:59
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 235
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17 Feb 2015, 20:16
for this question i just asked myself, what multiple of 5 is closest to 23, which would be 25 and that is 2 digits away from 23 hence the answer is 2 . when i see an abs() question i always think in terms of distance



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Re: If y is an integer, then the least possible value of 235
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26 May 2015, 05:50
When they asked least possible value, I was thinking of the value with the lowest probability and figured it could either be 1 4 and 5. Didnt think that they were asking what is the closest value



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Re: If y is an integer, then the least possible value of 235
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26 May 2015, 10:21
Hi Psy881212, GMAT writers are never trying to 'trick' you, so 'Probability' questions on the GMAT almost always include the word "probability" in the prompt. Here, the phrase "least possible value" means "smallest value that you can possibly end with given the restrictions in the prompt" (it does NOT mean "least likely value"). As you continue to practice with Official materials, you'll get a better sense of the 'style' that GMAT writers use (and that familiarity will lead to certain advantages on Test Day). GMAT assassins aren't born, they're made, Rich
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Re: If y is an integer, then the least possible value of 235
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30 May 2016, 05:21
Bunuel wrote: If y is an integer, then the least possible value of 23  5y is
(A) 1 (B) 2 (C) 3 (D) 4 (E) 5 To solve this question, we must make sure we interpret it correctly. We are not finding the least possible value of y, but rather the least possible value of 235y (the absolute value of 23 – 5y). Remember that the smallest value that can result from taking the absolute value is zero. Thus we need to make 23  5y as close to zero as possible. We know that 5y is a multiple of 5, so let’s first look at the multiples of 5 closest to 23. We have “20” and “25”. Let’s subtract both of these from 23 and see which one produces the smallest result. When 5y = 20, y is 4 and when 5y = 25, y is 5. Let’s start with letting y = 4. 235(4) 2320 3 = 3 Next, let’s let y equal 5. 235(5) 2325 2 = 2 We see that the smallest possible value of 235y is 2. Answer B. Another approach to solving this problem is to see what value of y makes the expression 23 – 5y equal to 0: 23 – 5y = 0 23 = 5y y = 4.6 However, we know that y must be an integer, so we round y = 4.6 to y = 5. We then plug the value 5 for y into the absolute value equation, as was done earlier, yielding the same answer of 2, which is answer choice B.
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Re: If y is an integer, then the least possible value of 235
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30 May 2016, 09:35
Bunuel wrote: If 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 Plug in values of y 1. If y = 1 23  5y = 18 2. If y = 2 23  5y = 13 3. If y = 3 23  5y = 8 4. If y = 4 23  5y = 35. If y = 6 23  5y = 7 6. If y = 7 23  5y = 12 Thus you find the least value of 23  5y comes as 3 only when y = 4 Hence answer will be (B)
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If y is an integer, then the least possible value of 235
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02 Jun 2016, 00:42
Abhishek009 wrote: Plug in values of y
1. If y = 1 23  5y = 18
2. If y = 2 23  5y = 13
3. If y = 3 23  5y = 8
4. If y = 4 23  5y = 3
5. If y = 6 23  5y = 7
6. If y = 7 23  5y = 12
Thus you find the least value of 23  5y comes as 3 only when y = 4
Hence answer will be (B) Hi Abhishek, I think you missed checking the value of the expression when y = 5 If y = 5, then 23  5y = 23  25 = 2 = 2 So, 2 seems to be the least value (when y = 5)



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Re: If y is an integer, then the least possible value of 235
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02 Jun 2016, 09:55
Bunuel wrote: If 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 The value will be positive. l23 5*5l = 2 B is the answer
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04 Sep 2016, 08:56
Manonamission wrote: If y is an integer, then the least possible value of 235y is
(A) 1 (B) 2 (C) 3 (D) 4 (E) 5 Plug in some values to test answer will be (B) Let y = 6 235y => 2330 = 7 Let y = 5 235y => 2325 = 2 Let y = 4 235y => 2325 = 3
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Re: If y is an integer, then the least possible value of 235
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07 Feb 2017, 09:38
Bunuel wrote: If y is an integer, then the least possible value of 23  5y is
(A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Another approach is to check each answer choice to see if it COULD be the smallest possible value of 23  5y Let's start with answer choice A, since it is the smallest answer. A) 1Is it possible that 23  5y = 1 if y MUST BE AN INTEGER? Let's solve it. If 23  5y = 1, then 23  5y = 1 or 23  5y = 1 Take 23  5y = 1 and subtract 23 from both sides to get: 5y = 22 Solve to get: y = 4.4 NOT an integer Take 23  5y = 1 and subtract 23 from both sides to get: 5y = 24 Solve to get: y = 4.8 NOT an integer So, if y is an INTEGER, it's IMPOSSIBLE for 23  5y to equal 1 ELIMINATE A B) 2Is it possible that 23  5y = 2 if y MUST BE AN INTEGER? Let's solve it. If 23  5y = 2, then 23  5y = 2 or 23  5y = 2 Take 23  5y = 2 and subtract 23 from both sides to get: 5y = 21 Solve to get: y = 4.2 NOT an integer Take 23  5y = 2 and subtract 23 from both sides to get: 5y = 25 Solve to get: y = 5 AN INTEGER AHA! It IS POSSIBLE for 23  5y to equal 2 Answer: B
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If y is an integer, then the least possible value of 235
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31 Aug 2017, 17:59
hi Bunuel niks18amanvermagmatI want to know flaw in below approach: when some expression≤0 then some expression=−(some expression). For example: −5=−(−5) = 5 Based on this understanding , I approached the problem that if I need to find least possible value of 235y I need to find least negative value. In other words 5y should be as high as possible so that 235y in still lower. Meaning if y is maximum say 5 among given choices then 235y = 23(5)*(5) ie 2325 ie 2 or 2 which is answer option (E) Also 235y for y=2 in similar way yields 2310 ie 13 which is a bigger value. Am I incorrect since I am finding list possible value of y and not 2xy
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Re: If y is an integer, then the least possible value of 235
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14 Sep 2017, 22:41
5 multiples always ends with 0 or 5, so difference with 3( last digit of 23) will 03 = 3 53 = 2 since there is MOD so here least value should be 2




Re: If y is an integer, then the least possible value of 235
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