Consider the following : 1. Every square is a rectangle. 2. Every rectangle is a parallelogram. 3. Every parallelogram is not necessarily a square. Which one of the following conclusions can be drawn on the basis of the above statements ?

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Q: 104 (CAPF/2009)
Consider the following :
1. Every square is a rectangle.
2. Every rectangle is a parallelogram.
3. Every parallelogram is not necessarily a square.
Which one of the following conclusions can be drawn on the basis of the above statements ?

question_subject: 

Logic/Reasoning

question_exam: 

CAPF

stats: 

0,4,8,3,3,4,2

keywords: 

{'only parallelograms': [0, 0, 1, 0], 'parallelograms': [0, 0, 1, 0], 'rectangles': [0, 0, 0, 1], 'parallelogram': [0, 0, 1, 0], 'rectangle': [0, 1, 0, 1], 'squares': [0, 0, 1, 0], 'square': [0, 0, 0, 1], 'conclusions': [0, 2, 1, 2]}

Option 1: The given statements tell us that every square is a rectangle and every rectangle is a parallelogram. However, it does not imply that every parallelogram is either a square or a rectangle. Therefore, option 1 cannot be concluded.

Option 2: The given statements do not provide any information about non-parallelogram figures. Therefore, we cannot draw any conclusion about whether a non-parallelogram figure can be a square or a rectangle. Option 2 cannot be concluded.

Option 3: The given statements state that every rectangle is a parallelogram. Adding to that, the statements also tell us that every square is a rectangle. Therefore, it can be concluded that all rectangles are either squares or parallelograms. Option 3 can be concluded.

Option 4: The given statements do not provide any information about the exclusivity of squares and rectangles as parallelograms. It does not state that squares and rectangles are the only parallelograms. Therefore, option 4 cannot be concluded.

In conclusion, option 3 is the only conclusion that can be drawn from the given statements.

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