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# Which of the following number is not the

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Intern
Joined: 22 Aug 2016
Posts: 32
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Kudos [?]: 9 [1] , given: 5

Which of the following number is not the [#permalink]  06 May 2017, 11:28
1
KUDOS
00:00

Question Stats:

100% (01:48) correct 0% (00:00) wrong based on 2 sessions
Which of the following number is not the sum of three consecutive odd numbers?

1) 15
2) 75
3) 123
4) 297
5) 313

Is there any shortcut technique to approach this question such as with prime factorization or something?

thanks
[Reveal] Spoiler: OA
GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1820 [2] , given: 397

Re: Which of the following number is not the [#permalink]  06 May 2017, 16:42
2
KUDOS
Expert's post
Explanation

Its given that the number must be sum of 3 consecutive odd numbers. Then the numbers must be around 1/3 the original number

1) 15 So $$\frac{15}{3}$$ =5, so the three consecutive odd numbers $$3+5+7 =15$$
2) 75 So $$\frac{75}{3}$$ =25, so the three consecutive odd numbers $$23+25+27 =75$$
3) 123 So $$\frac{123}{3}$$ =41, so the three consecutive odd numbers $$39+41+43 =123$$
4) 297 So $$\frac{297}{3}$$ =99, so the three consecutive odd numbers $$97+99+101 =297$$
5) 313 Must be correct!
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Re: Which of the following number is not the   [#permalink] 06 May 2017, 16:42
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