Logical Reasoning - Logical Problems - Discussion

Each problem consists of three statements. Based on the first two statements, the third statement may be true, false, or uncertain.


The Shop and Save Grocery is south of Greenwood Pharmacy.
Rebecca's house is northeast of Greenwood Pharmacy.
Rebecca's house is west of the Shop and Save Grocery.
If the first two statements are true, the third statement is

[A]. true
[B]. false
[C]. uncertain

Answer: Option B


Because the first two statements are true, Rebecca's house is also northeast of the Shop and Save Grocery, which means that the third statement is false.

Jitesh said: (Dec 6, 2011)  
Can you help this? I did not understand the explanation. Can you please ellaborate?

Sandeep Gaur said: (Feb 15, 2012)  
I didn't understand please suggest me, how I will solve this statement?

Jaya said: (Mar 18, 2012)  
Please help with diagrams of directions.

Vaibhav said: (May 22, 2012)  
The positions can differ with respect to the distances. the correct answer should be- it is uncertain.

Bharat Talaviya said: (Aug 25, 2012)  
Diagram of direction:



Ria said: (Mar 19, 2013)  
It is false because if the first 2 statements are true then Rebecca's house is in the northwest of the shop and save grocery.

Mukesh Saini said: (Jun 22, 2013)  
* indicating the Location of the places.

! *(Rebecca's house)
W ------------*(Greenwood Pharmacy)------E
*(Shop and Save Grocery)

Hope Everybody got it.

Meg said: (Jun 4, 2016)  
Thanks a lot @Mukesh Saini.

Vanaja said: (Jul 10, 2016)  
Thanks @Mukesh Saini.

Priya said: (Jun 21, 2017)  
I'm not getting, because how Rebecca's house at west side same as its also east side. Then why answer is west?

John said: (Jul 11, 2017)  
I believe it is uncertain. There is no implicit statement of where stop and save is in relation to the pharmacy other than "south".

What if the stop and save were 50km SouthEast? It would STILL BE SOUTH of the pharmacy. Then Rebecca's house was only 10 km NorthEast. It would make the statement true.

Jagan said: (Sep 15, 2017)  
Yes, @John.

I also agree it will be uncertain.

Bill said: (Aug 28, 2018)  
We only know that the stop and shop are south of the pharmacy.

However, because the second statements state Rebecca's house is North East of the pharmacy we can deduce that if the stop and shop were either South East or South West to be consistent that would be mentioned.

Therefore we have to assume the stop and shop is neither west or east of the Pharmacy.

If Rebecca is northeast of the pharmacy then she is also east of the stop and shop.

Therefore she can't be west of it.

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