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- Question
- 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
- Correct Answer
- If I am walking slow or not walking for 4 kms then it is raining.
ExplanationThis 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) - 1. 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
- 2. 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
- 3. 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
- 4. 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
- 5. 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
- 6. 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
- 7. 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
- 8. 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
- 9. (i) Doing well in CAT implies doing well in JMET.
(ii) Good JMET results ensure that you get into one of the IITs or IISc.
(iii) Poor CAT results do not get you an admission into any of the IIMs.
Options- A. Doing poorly in CAT always implies doing poorly in JMET.
- B. Good CAT result ensures that one gets an admission into the IIMs.
- C. Admission to the IITs or IISc may mean that one has done well in CAT.
- D. Anyone getting admission in one of the IIMs is guaranteed to get admission in one of the IITs or IISc. Discuss
- 10. (i) Whenever there is a fire, the fire alarm goes off
(ii) If the sprinklers do not start, the fire alarm does not go off.
(iii) If the sprinklers start, an automatic alarm is set off at the fire department.
Options- A. If an automatic alarm is set off at the fire department,that means there must be a fire.
- B. If the sprinklers do not start, the automatic alai-in at the fire department is not set off.
- C. Whenever there is a fire, an automatic alarm is set off in the fire department.
- D. If there is no fire, no automatic alarm is set off in the fire department. Discuss
Logical Connectives problems
Search Results
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: 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: 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: 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.
Correct Answer: Anyone getting admission in one of the IIMs is guaranteed to get admission in one of the IITs or IISc.
Explanation:
Admission in one of the IIM's ensures good performance in CAT. This implies doing well in JMET. This ensures that you get into one of the IITS or IISC So option D is true.
Correct Answer: Whenever there is a fire, an automatic alarm is set off in the fire department.
Explanation:
Lets eliminate options one by one-
Option A: Cannot be true since we cannot infer anything if we know that an automatic alarm is set off at the fire department.
Option B: If sprinklers do not start then the fire alarm doesn't go off. Further we cannot say anything about the automatic alarm at the fire department.
Option C: When there is a fire the fire alarm goes off so sprinklers start. Hence an automatic alarm is set off at the fire department.
Option (D) is similarly ruled out.
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