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# Which of the following is two more than square of an odd integer?

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MBA Section Director
Affiliations: GMATClub
Joined: 22 May 2017
Posts: 2521
GPA: 4
WE: Engineering (Computer Software)
Which of the following is two more than square of an odd integer?  [#permalink]

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01 Dec 2018, 10:18
1
5
00:00

Difficulty:

65% (hard)

Question Stats:

46% (01:57) correct 54% (01:58) wrong based on 60 sessions

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GMATbuster's Weekly Quant Quiz#11 Ques #5

Which of the following is two more than square of an odd integer?

A)14173
B)14361
C)14643
D)14737
E)14981

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Intern
Joined: 07 Jun 2018
Posts: 13
Re: Which of the following is two more than square of an odd integer?  [#permalink]

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01 Dec 2018, 10:49
1
1
( odd number )^2 + 2
odd number = 2n+1 ( where n can be any non negative integer )
( 2n +1 ) ^2 +2
4n^2 + 1 + 4n + 2
4( n^2 + n ) + 3 ( This eq implies it leaves remainder 3 when divided by 4)

73 ---------------- leaves r=1
61 ---------------- leaves r=1
43----------------- leaves r=3 correct
37------------------ leaves r=1
81 ----------------- leaves r =1

Intern
Joined: 27 Nov 2018
Posts: 2
Re: Which of the following is two more than square of an odd integer?  [#permalink]

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03 Dec 2018, 06:03
2
I quickly plugged in the closest perfect square (no theory really). 120*120=14400, 121*121=14641 (+2 = C)
Re: Which of the following is two more than square of an odd integer?   [#permalink] 03 Dec 2018, 06:03
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