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)
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)
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
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)
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)
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.
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)
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)
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.
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.
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.
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