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# Two positive integers X and Y are said to have a ‘connection’ with

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Retired Moderator
Joined: 22 Aug 2013
Posts: 1409
Location: India
Two positive integers X and Y are said to have a ‘connection’ with  [#permalink]

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17 Mar 2019, 11:50
00:00

Difficulty:

35% (medium)

Question Stats:

63% (01:44) correct 37% (01:55) wrong based on 29 sessions

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Two positive integers X and Y are said to have a ‘connection’ with each other if there exists at least one integer Z such that 1 < Z and both X/Z and Y/Z are integers. Out of the following five integers: 8, 12, 25, 27, 32 – how many pairs have a ‘connection’ with each other?

A. 3
B. 4
C. 6
D. 7
E. 10
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5483
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: Two positive integers X and Y are said to have a ‘connection’ with  [#permalink]

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17 Mar 2019, 23:40
amanvermagmat wrote:
Two positive integers X and Y are said to have a ‘connection’ with each other if there exists at least one integer Z such that 1 < Z and both X/Z and Y/Z are integers. Out of the following five integers: 8, 12, 25, 27, 32 – how many pairs have a ‘connection’ with each other?

A. 3
B. 4
C. 6
D. 7
E. 10

total pairs
z=2 ; ( 8,12), ( 8,32(, ( 12,32)
z=3; ( 12,27)
z=4 ; ( 12,32), ( 8,12) , (8,32)
z=8 ; ( 8,32)

we see 8,12 , 12,32 & 8,32 are repetative
so total unique pairs ; 4 ; ( 8,12), ( 8,32), ( 12,32) & 12,27
IMO B
Re: Two positive integers X and Y are said to have a ‘connection’ with   [#permalink] 17 Mar 2019, 23:40
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