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- Question
- If you study then you will pass the exam and will get a good girlfriend .
Options- A. You did not study then you will not pass the exam or will not get a good girlfriend.
- B. You did not pass the exam and did not get a good girlfriend implies that you did not study.
- C. You passed the exam and also got a good girlfriend implies that you have studied.
- D. None of these
- Correct Answer
- You did not pass the exam and did not get a good girlfriend implies that you did not study.
ExplanationThis is of type 1:- "If X then Y and Z"
This statement implies that:
(i) (X ? Y and Z)
(ii) (~ Y or/and ~ Z ? ~ X) given in option B - 1. If it is a holiday then Suvrojyoti will play cricket or will watch movie.
Options- A. It is not a holiday then Suvrojyoti will not play cricket and will not watch movie.
- B. If it is not a holiday and Suvrojyoti is not playing cricket then he will watch movie.
- C. It is a holiday then Suvrojyoti will not play cricket and will not watch movie.
- D. None of these Discuss
- 2. Unless teacher is agree, the class will continue and three will be a test.
Options- A. Teacher is agree it implies that either class will not continue or there will not be a test.
- B. The class will not continue or there is a test implies that teacher is agree.
- C. Teacher is not agree and the class will not continue implies that there will be a test.
- D. None of these Discuss
- 3. Look at the sentences given below
(i) If the contract is valid, then X is liable.
(ii) If X is liable, he will be bankrupt.
(iii) If the bank loans him money, he will not go bankrupt.
Select the statement that is consistent with the above statements
Options- A. The contract is valid and the bank will loan him money.
- B. The contract is valid and the bank will not loan him money.
- C. The contract is not valid and he will go bankrupt.
- D. The contract is not valid and he is liable. Discuss
- 4. Manisha will eat the orange if Rajesh does not cook.
Bases on the information above which of the following must be true
Options- A. Manisha will not eat the orange if Rajesh cooks.
- B. If manisha did not eat the orange, then Rajesh did cook.
- C. If Manisha ate the orange, then Rajesh did not cook.
- D. If Rajesh does not cook, Manisha will eat the orange Discuss
- 5. A. If Kumar sings, then the audiences sleep.
B. If Kumar sings, then the audiences dance.
C. Unless audience do not dance, the concert will be successful.
D. Only if the audience dance, the concert will be successful.
D. Only if the audience dance, the concert will be successful.
E. If Vina dances, then Kumar sings.
F. Kumar sings only if Vina dances.
G. Vina dances
H. The concert is successful.
Options- A. C, F, G, B and H
- B. A, C, F, G and H
- C. E, C, G, B and H
- D. Both (2) and (3) Discuss
- 6. Unless students are agree, the class will continue and Institute will remain open.
Options- A. Students are agree it implies that either class will not continue or institute will not close.
- B. The class will not continue or the institute is closed implies that students are agree.
- C. Students are not agree and the class will not continue implies that institute will remain closed.
- D. None of these. Discuss
- 7. If Ricky singh is not at Pioneer Career then he is at his sleeping or watching movie.
Options- A. Ricky Singh is not sleeping and not watching movie implies that he is at Pioneer Career.
- B. Ricky Singh is not sleeping or not watching movie implies that he is at Pioneer Career.
- C. Ricky Singh is at Pioneer Career it implies that he is not sleeping but watching movie.
- D. None of these Discuss
- 8. If it is not raining then I will not walk slow but I will walk at least 4 km.
Options- A. If it is raining then I will walk slow but I will not walk 4 km.
- B. If it is raining then I will not walk slow but I will not walk 4 km.
- C. If I am walking slow or not walking for 4 kms then it is raining.
- D. None of these Discuss
- 9. Only if it is a national holiday, Pioneer career is not open and employee enjoy together.
Options- A. Today is not a national holiday it implies that Pioneer is not open and employee enjoy together.
- B. Employees are not enjoying together and Pioneer Career is open that implies it is not a national holiday.
- C. Today is not a national holiday it implies that Pioneer career is open or employee enjoy together.
- D. None of these. Discuss
- 10. If a student sees a teacher in the class he would not sleep in the class, One day, a student does not see a teacher in the class. Which of the following statements is true?
Options- A. The student will sleep in the class.
- B. The student will not sleep in the class.
- C. Cannot conclude anything.
- D. None of these Discuss
Logical Connectives problems
Search Results
Correct Answer: If it is not a holiday and Suvrojyoti is not playing cricket then he will watch movie.
Explanation:
This is the situation of "If X then Y or Z" it implies that:
(i) (X ? Y or Z)
(ii) (~ Y and ~ Z ? ~ X)
(iii) (X and ~ Z ? Y)
(iv) (X and ~ Y ? Z) given in option (B)
Correct Answer: The class will not continue or there is a test implies that teacher is agree.
Explanation:
This belongs to Type 3: "Unless X, Y and Z"
this statement implies that:
(~ X ? Y or Z)
(~ Y or/and ~ Z ? X) Given in option (B)
Correct Answer: The contract is valid and the bank will not loan him money.
Explanation:
From first two statements we can conclude: 'if the contract is valid then X would be bankrupt.' Statement 3 is 'If he goes bankrupt, then the bank will not loan him the money.' From above two statements, we have: If the contract is valid, then the bank will not loan him the money. This is reflected in option B.
Correct Answer: If manisha did not eat the orange, then Rajesh did cook.
Explanation:
The conclusion should be if Manisha ate the orange, then Rajesh did not cook.
Correct Answer: E, C, G, B and H
Explanation:
(G) ? Vina dances
From (E) ? Kumar sings
From (B) ? Audience dance
From (C) ? Concert will be successful, which is given in H.
Correct Answer: The class will not continue or the institute is closed implies that students are agree.
Explanation:
This belongs to Type 3:- "Unless X, Y and Z" This statement implies that:
(i) (~ X ? Y or Z)
(ii) (~ Y or/and ~ Z ? X) Given in option (B)
Correct Answer: Ricky Singh is not sleeping and not watching movie implies that he is at Pioneer Career.
Explanation:
This is the situation of "If X then Y or Z" it implies that:
(i) (X ? Y or Z)
(ii) (~ Y and ~ Z ? ~ X)
(iii) (X and ~ Z ? Y)
(iv) (X and ~ Y ? Z) given in option (A)
Correct Answer: If I am walking slow or not walking for 4 kms then it is raining.
Explanation:
This is the situation of "If X then Y and Z" it implies that:
(i) (X ? Y and Z)
(ii) (~ Y or/and ~ Z ? ~ X ) given in option (C)
Correct Answer: Today is not a national holiday it implies that Pioneer career is open or employee enjoy together.
Explanation:
This is the situation of "Only if X then Y and Z" it implies that:
(i) (Y and Z ? X)
(ii) (~ X ? ~ Y or/and ~ Z) given in option (C)
Correct Answer: Cannot conclude anything.
Explanation:
Here let X be the event that the student sees a teacher. And event Y be the event that he is sleeping. We have been given that X ? ~ Y. However, we do not know anything about ~ X, and the question asks us what Y will be if ~ X.
? We cannot conclude anything.
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