# Logical Reasoning - Logical Problems - Discussion

Discussion Forum : Logical Problems - Type 2 (Q.No. 2)
Directions to Solve
Each problem consists of three statements. Based on the first two statements, the third statement may be true, false, or uncertain.

2.
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
true
false
uncertain
Explanation:
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.
Discussion:
13 comments Page 1 of 2.

Bill said:   6 years ago
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.

Jagan said:   7 years ago
Yes, @John.

I also agree it will be uncertain.

John said:   7 years ago
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.
(1)

Priya said:   7 years ago
I'm not getting, because how Rebecca's house at west side same as its also east side. Then why answer is west?
(1)

Vanaja said:   8 years ago
Thanks @Mukesh Saini.

Meg said:   8 years ago
Thanks a lot @Mukesh Saini.

Mukesh Saini said:   1 decade ago
* indicating the Location of the places.

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

Hope Everybody got it.
(3)

Ria said:   1 decade ago
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.
(1)

Bharat Talaviya said:   1 decade ago
Diagram of direction:
N

W E

S

Vaibhav said:   1 decade ago
The positions can differ with respect to the distances. the correct answer should be- it is uncertain.