In the following question, two statements are given each followed by two conclusions I and II. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.
Statements:
(I) If we are lucky then things automatically fall in place.
(II) Luck follows only when we work hard.
Conclusions:
(I) Hard work is the key to success.
(II) If you don't work hard, luck will not follow you.
- AOnly conclusion II follows
- BConclusion I and II both follow
- CNeither I nor II follow
- DOnly conclusion I follows
Solution & Step-by-step Explanation
Let's analyze the statements logically:
Statement (I) says: Lucky⟹Things automatically fall in place.
Statement (II) says: Luck follows ONLY WHEN we work hard. This means working hard is a necessary condition for luck to follow. In terms of conditional logic: Luck⟹Hard work. The contrapositive of this statement is: ∼Hard work⟹∼Luck (If you do not work hard, luck will not follow).
Now let's evaluate the conclusions:
Conclusion (I): "Hard work is the key to success." The term "success" is not defined or mentioned anywhere in the premises. Thus, it cannot be formally deduced.
Conclusion (II): "If you don't work hard, luck will not follow you." This perfectly matches the contrapositive derived directly from Statement (II) ("Luck follows only when we work hard").
Therefore, only conclusion II follows.
Statement (I) says: Lucky⟹Things automatically fall in place.
Statement (II) says: Luck follows ONLY WHEN we work hard. This means working hard is a necessary condition for luck to follow. In terms of conditional logic: Luck⟹Hard work. The contrapositive of this statement is: ∼Hard work⟹∼Luck (If you do not work hard, luck will not follow).
Now let's evaluate the conclusions:
Conclusion (I): "Hard work is the key to success." The term "success" is not defined or mentioned anywhere in the premises. Thus, it cannot be formally deduced.
Conclusion (II): "If you don't work hard, luck will not follow you." This perfectly matches the contrapositive derived directly from Statement (II) ("Luck follows only when we work hard").
Therefore, only conclusion II follows.