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.

8. 

During the past year, Josh saw more movies than Stephen.
Stephen saw fewer movies than Darren.
Darren saw more movies than Josh.
If the first two statements are true, the third statement is

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

Answer: Option C

Explanation:

Because the first two sentences are true, both Josh and Darren saw more movies than Stephen. However, it is uncertain as to whether Darren saw more movies than Josh.

Lidiya said: (Feb 3, 2011)  
I cant understand about why the answer is uncertain it is just basic conditional statement such as a>b, b<c, c>a. Can any one explain?

Sundar said: (Feb 3, 2011)  
Josh saw more movies than Stephen : J > S
Stephen saw fewer movies than Darren : S < D

Therefore : J > S < D

Example values for J > S < D :

1. 50 > 10 < 40
2. 40 > 10 < 50

Given, Darren saw more movies than Josh = D > J.

According to example 1 (50 > 10 < 40) 'D > J' is false.
According to example 2 (40 > 10 < 50) 'D > J' is true.

Therefore, we cannot say it true or false. That is why the result is 'uncertain'.

Hope this help you. Have a nice day!

Asif said: (Feb 15, 2011)  
Thanks for giving brief explanation.

Harinath said: (Sep 7, 2011)  
It's all about clear. And answer should be true but how come it's uncertain. Will anybody explain it.

Chalam said: (Nov 21, 2011)  
Refer to Sundar's explanation.. He clearly explained it and the answer is 'Uncertain'.

Me :) said: (Mar 6, 2012)  
This is how it works:
D is Darren, J is Josh and S is Stephan

the order from person that watched most movies to person that watched least could be either of the following:

Scenario 1:
D
J
S

Scenario 2:
J
D
S

In both cases, stephan saw the least movies, but we dont know which of the two scenarios is right in saying whether Darren saw more than josh or the other way around and hence the answer is uncertain.

Hope that helps :)

Monika Sharma said: (Feb 3, 2013)  
Let josh saw movies =5,
Stephen saw movies= 3
And darren saw movies=4
5>3<4 this is false.

(or)

Let josh saw movies =4,
Stephen saw movies= 3
And darren saw movies=5
4>3<5 this is true.

So that both a&b answer are correct.

Michaela said: (Apr 20, 2013)  
I can clearly understand the explanations above and agree with you that is uncertain. It is also worth noting that while the first phrase contains a period of time ("during the past year") the other two phrases do not mention the period. I believe that because of this "small detail" the answer for this particular question couldn't have been anything else but Uncertain.

Amrutha said: (Jun 12, 2013)  
How can we agree. If we see the next question then it should be true here also as it is clearly given the order josh > darren > stephen.

Then how come the answer is uncertain?

Darshan Sasuke said: (Feb 14, 2014)  
Nice questions it took more time to understand but it is uncertain.

Roopa Kapor said: (Aug 5, 2014)  
I think answer should be true as it is clearly saying that derren saw more movies than josh.

Franklin said: (Sep 5, 2014)  
Its Clear. The answer is Uncertain.

The answer would've been True if Stephen saw more movies than Darren. Or False if Darren saw fewer movies than Josh.

Mahantesh said: (Dec 27, 2015)  
Hi friends,

Here answer is uncertain because from above question these is no limit how much movies seen by Darren?

Venkatesh said: (Jul 6, 2016)  
Thank you. Its really useful.

Dicarpio said: (Mar 30, 2017)  
Answer should be "False".

Because,
During the past year,

Josh saw more movies than Stephen --(It means Josh saw movies more than Stephen)
Stephen saw fewer movies than Darren --(It means Stephen saw movies more than Darren)
Darren saw more movies than Jos -----(It means, statement is wrong. So, the answer should be false).

Johan said: (Apr 21, 2017)  
It is true because,

Josh saw more movies than Stephen [x>t].
Stephen saw few movies than Darren[t<d].
Darren saw more movies than Josh[d>x].

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