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# If m and n are positive integers and 1 + 2m + 2mn + n = 45, which of t

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Manager
Joined: 06 May 2019
Posts: 105
Location: India
Schools: LBS '22
GMAT 1: 710 Q51 V35
GPA: 4
WE: Information Technology (Computer Software)
If m and n are positive integers and 1 + 2m + 2mn + n = 45, which of t  [#permalink]

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06 Dec 2019, 07:29
1
4
00:00

Difficulty:

85% (hard)

Question Stats:

43% (02:46) correct 57% (02:27) wrong based on 44 sessions

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If m and n are positive integers and 1 + 2m + 2mn + n = 45, which of the following can be the value(s) of m + n ?
(I) 7
(II) 8
(III) 9

A: I and II
B: I and III
C: II and III
D: I, II and III
E: Only II
Manager
Status: Student
Joined: 14 Jul 2019
Posts: 149
Location: United States
Concentration: Accounting, Finance
GPA: 3.9
WE: Education (Accounting)
Re: If m and n are positive integers and 1 + 2m + 2mn + n = 45, which of t  [#permalink]

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06 Dec 2019, 13:00
1
1
JiddiHuMain wrote:
If m and n are positive integers and 1 + 2m + 2mn + n = 45, which of the following can be the value(s) of m + n ?
(I) 7
(II) 8
(III) 9

A: I and II
B: I and III
C: II and III
D: I, II and III
E: Only II

2m(n +1) +1 (n+1) = (n+1)(2m+1) = 5 * 9 or 3* 15. In first case n =4, m=4. in second case n = 2, m= 7. so m+n can be 8 and 9. C is the answer.
Re: If m and n are positive integers and 1 + 2m + 2mn + n = 45, which of t   [#permalink] 06 Dec 2019, 13:00
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