Question

All pencils are bricks. All bricks are bottles. Conclusions: (i) all pencils are bottles. (ii) all bricks are pencils.

Answer 1

Concept

According to the transitive property all the quantities are same to each other if two quantities are equal to the third quantity.

Given

The statement given is All pencils are bricks. All bricks are bottles

Find

We need to find the conclusion of the given statement

Solution

Let the statement A = All pencils are bricks

Let the Statement B = All bricks are bottles.

According to transitive property

If A=B and B= C then A = C

So  we can say that

All pencils = all bricks (A = B)

All bricks =  all bottles (B = C)

∴ All pencils = all bottles (A= C)

Therefore we can conclude that All pencils are all bottles

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