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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.

  1. A
    Only conclusion II follows
  2. B
    Conclusion I and II both follow
  3. C
    Neither I nor II follow
  4. D
    Only 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.

Practice this question

Try it yourself before checking the explanation above.

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.
A
Only conclusion II follows
B
Conclusion I and II both follow
C
Neither I nor II follow
D
Only conclusion I follows

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