Question : Directions: 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. Regular polygon has equal sides and equal angles.
II. Square is a regular polygon.
Conclusions:
I. Square has equal sides.
II. Square has equal angles.
Option 1: Conclusion II follows
Option 2: Both conclusions I and II follow
Option 3: Neither conclusion I nor II follows
Option 4: Conclusion I follows
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Correct Answer: Both conclusions I and II follow
Solution :
According to the given statements, let's analyse the conclusions –
Conclusion I:
Square has equal sides – Based on the given statements, it is given that square is a regular polygon and each regular polygon has equal sides and equal angles. Therefore, from this, it can be concluded that a square has equal sides.
Conclusion II:
Square has equal angles – Based on the given statements, it is given that square is a regular polygon and each regular polygon has equal sides and equal angles. Therefore, from this, it can be concluded that a square has equal angles.
So, both the conclusions I and II follow. Hence, the second option is correct.
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