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When the integer n is divided by 8, the remainder is 5. Which of the
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23 Jul 2015, 03:11
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When the integer n is divided by 8, the remainder is 5. Which of the
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23 Jul 2015, 04:04
Bunuel wrote: When the integer n is divided by 8, the remainder is 5. Which of the following is NOT an even number?
A. n + 3 B. n/2 + 3.5 C. n – 3 D. 3n + 1 E. 5n + 2
Kudos for a correct solution. Given number = N =8p+5 > the number N is odd. Thus , A. n + 3 n+3 = odd + odd = even. Thus not correct.B. n/2 + 3.5 As n is odd, thus n/2 = abc.5 (where c = even) > abc.5+3.5 = abc+3+0.5+0.5 = even+odd+1= odd+1=even. Thus not correct.C. n – 3 n3 = odd  odd = even. Thus not correct.D. 3n + 1 As n =odd, 3n=odd and 3n+1 = odd + odd = even. Thus not correct.E. 5n + 2 As n =odd, 5n= odd >5n+2 = odd + even = odd. Thus correct.



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When the integer n is divided by 8, the remainder is 5. Which of the
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Updated on: 23 Jul 2015, 06:33
Bunuel wrote: When the integer n is divided by 8, the remainder is 5. Which of the following is NOT an even number?
A. n + 3 B. n/2 + 3.5 C. n – 3 D. 3n + 1 E. 5n + 2
Kudos for a correct solution. One possible Value of n = 8 + 5 = 13 Second possible Value of n = 8*2 + 5 = 21 @n = 13A. n + 3 = 16 = Even B. n/2 + 3.5 = 13/2+3.5 = 10 = Even C. n – 3 = 133 = 10 = Even D. 3n + 1 = 3*13+1 = 40 = even E. 5n + 2 = 5*13+2 = 67 = ODD thus CORRECT OPTIONAnswer: option E
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Originally posted by GMATinsight on 23 Jul 2015, 06:25.
Last edited by GMATinsight on 23 Jul 2015, 06:33, edited 1 time in total.



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When the integer n is divided by 8, the remainder is 5. Which of the
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Updated on: 23 Jul 2015, 06:35
From question we get n=8Q+5. so we can conclude n is odd we have to check each option A. n + 3 odd + odd = Even B. n/2 + 3.5 take LCM (n+7)/2 Even C. n – 3 Odd  Odd = Even D. 3n + 1 Odd + Odd = Even E. 5n + 2 Odd + Even = Odd (Not Even) So E is the correct Answer Choice
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Re: When the integer n is divided by 8, the remainder is 5. Which of the
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23 Jul 2015, 06:30
GMATinsight wrote: Bunuel wrote: When the integer n is divided by 8, the remainder is 5. Which of the following is NOT an even number?
A. n + 3 B. n/2 + 3.5 C. n – 3 D. 3n + 1 E. 5n + 2
Kudos for a correct solution. One possible Value of n = 8 + 5 = 13 Second possible Value of n = 8*2 + 5 = 21 @n = 13A. n + 3 = 16 = Even B. n/2 + 3.5 = 13/2+3.5 = 10 = Even C. n – 3 = 133 = 10 = Even D. 3n + 1 = 3*8+1 = 25 = Odd thus CORRECT OPTIONE. 5n + 2 = 5* 8+2 = 42 = even Answer: option D GMATinsight, you are using n =13 in options AC while you use n =8 (an incorrect value) in options D and E.



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Re: When the integer n is divided by 8, the remainder is 5. Which of the
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23 Jul 2015, 06:32
Bunuel wrote: When the integer n is divided by 8, the remainder is 5. Which of the following is NOT an even number?
A. n + 3 B. n/2 + 3.5 C. n – 3 D. 3n + 1 E. 5n + 2 Kudos for a correct solution. n divided by 8 gives a remainder 5 Possible values of n = 5, 13, 21, 29, 37, 45.... A) n + 3 => 8, 16, 24...  IncorrectB) n/2 + 3.5 = 1/2(n + 7) = 6, 10...  IncorrectC) n  3 = 2, 10, 18...  IncorrectD) 3n + 1 = 16, 40...  IncorrectE) 5n + 2 = 27, 67...  CorrectHence answer is E



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When the integer n is divided by 8, the remainder is 5. Which of the
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23 Jul 2015, 06:37
Engr2012 wrote: GMATinsight wrote: Bunuel wrote: When the integer n is divided by 8, the remainder is 5. Which of the following is NOT an even number?
A. n + 3 B. n/2 + 3.5 C. n – 3 D. 3n + 1 E. 5n + 2
Kudos for a correct solution. One possible Value of n = 8 + 5 = 13 Second possible Value of n = 8*2 + 5 = 21 @n = 13A. n + 3 = 16 = Even B. n/2 + 3.5 = 13/2+3.5 = 10 = Even C. n – 3 = 133 = 10 = Even D. 3n + 1 = 3*8+1 = 25 = Odd thus CORRECT OPTIONE. 5n + 2 = 5* 8+2 = 42 = even Answer: option D GMATinsight, you are using n =13 in options AC while you use n =8 (an incorrect value) in options D and E. Haha... I immediately realized and corrected but you are much faster in typing so no kudos for this correction.
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Re: When the integer n is divided by 8, the remainder is 5. Which of the
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23 Jul 2015, 10:11
Bunuel wrote: When the integer n is divided by 8, the remainder is 5. Which of the following is NOT an even number?
A. n + 3 B. n/2 + 3.5 C. n – 3 D. 3n + 1 E. 5n + 2
Kudos for a correct solution. n=5,13,21 and so on if n=5, then A=n+3=8 B=n/2+3.5=6 C=n3=2 D=3n+1=16 E=5n+2=27 Answer E



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Re: When the integer n is divided by 8, the remainder is 5. Which of the
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26 Jul 2015, 12:15
Bunuel wrote: When the integer n is divided by 8, the remainder is 5. Which of the following is NOT an even number?
A. n + 3 B. n/2 + 3.5 C. n – 3 D. 3n + 1 E. 5n + 2
Kudos for a correct solution. 800score Official Solution:The most efficient way to solve this problem is to substitute a possible value of n into the answer choices and see which one is not an even number. n could be 5, 13, 21, etc. Let’s substitute these trial numbers. Let’s choose 5: (A) 5 + 3 = 8. This is EVEN. (B) 5/2 + 3.5 = 6. This is EVEN. (C) 5 – 3 = 2. This is EVEN. (D) 3(5) + 1 = 16. This is EVEN. (E) 5(5) + 2 = 27. This is ODD.The correct answer is choice (E), since this is the only answer choice that produced an odd with n = 5. Note: 5 divided by 8 is 0 with a remainder of 5. When you are looking for the remainder, you should stop dividing when continuing to do so would result in a decimal. For example, 13 divided by 8 has a remainder of 5. Dividing until you have 1.625 is not helpful here.
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