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- Question
- 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.
- Correct Answer
- The class will not continue or the institute is closed implies that students are agree.
ExplanationThis 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) - 1. 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 Discuss
- 2. 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
- 3. 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
- 4. 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
- 5. 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
- 6. 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
- 7. 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
- 8. 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
- 9. 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
- 10. In all family photos, if Geeta is present, her two sisters are also present. A certain photo features five members of his family. Among the people in that photo are Geeta's parents with their son. Which of these statements is necessarily true?
Options- A. Geeta is present in the photo
- B. Geeta is absent from the photo
- C. Geeta many or many not be present in the photo
- D. The two sisters of Geeta are present in the photo Discuss
Logical Connectives problems
Search Results
Correct Answer: You did not pass the exam and did not get a good girlfriend implies that you did not study.
Explanation:
This 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
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: 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.
Correct Answer: Geeta is absent from the photo
Explanation:
Let X be the event that Geeta is present in the photo and event Y that her sister are present. Given that X ? Y.
As per the given information in the photo already has three people (Geeta's parents with their son 3 persons so remaining can be only 2 persons). Thus, Geeta cannot be in the photo.
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