Which of the following propositions is tautology?
A. | (p v q)→q |
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B. | p v (q→p) |
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C. | p v (p→q) |
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D. | Both (b) & (c) |
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Option: C Explanation : A tautology is a statement that is always true.
Click on Discuss to view users comments. jigyasa gupta said: (11:54pm on Wednesday 20th March 2013)
evn in option b every condition is a tautology...
sanket said: (11:22am on Monday 15th April 2013)
why c is ans why not b
Nirmal said: (12:14am on Friday 7th June 2013)
Yes why not b?
Srushti said: (10:13pm on Thursday 11th July 2013)
without writing the truth table how to know whether it is tautology or no?
Nilesh said: (8:03am on Friday 5th June 2015)
[C] = P (P->q) = p ( ~p q )= p ~p q= ( p ~p ) q= True q= ( True q ) = True
Hina varshney said: (12:37pm on Tuesday 29th August 2017)
Option a is also tautology..
Jay said: (2:47am on Tuesday 19th September 2017)
D both(b and c)is tautology
stotaw takele said: (7:42am on Sunday 29th April 2018)
why not only b explain why include c
Arya said: (4:37am on Sunday 3rd June 2018)
B is answer
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A. | A tautulogy |
B. | A contradiction |
C. | Logically equivalent to p ^ q |
D. | All of above |
Option: C Explanation : Click on Discuss to view users comments. ajinkya said: (10:03pm on Monday 1st July 2013)
B'coz if u solve that eq. geting ans is same as that of p^q
Amarnath said: (4:10pm on Wednesday 31st July 2013)
---------------------------------| p | q |~p |(~pvq)|p^(~pvq)|p^q|---------------------------------| 0 | 0 | 1 | 1 | 0 | 0 |---------------------------------| 0 | 1 | 1 | 1 | 0 | 0 |---------------------------------| 1 | 0 | 0 | 0 | 0 | 0 |---------------------------------| 1 | 1 | 0 | 1 | 1 | 1 |---------------------------------So C is the right answer
Akshita gupta said: (12:31am on Saturday 6th May 2017)
Mah answer Contradiction(B) what is right answer B or C
Sagar said: (4:06am on Thursday 15th February 2018)
Ans is Tautologyin boolean algebra equivalent eq: p (p` q)= (p p`) q= 1 q= 1 (tautology).
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A. | a v b → b ^ c |
B. | a ^ b → b v c |
C. | a v b → (b → c) |
D. | None of these |
Option: B Explanation : Click on Discuss to view users comments. |
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