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Question

Choose the correct statement if:

James is taller than Liana.

Liana is shorter than Tobby.

Liam is taller than James.

Statement 1: Tobby is shorter than Liam.

Statement 2: Liana is shorter than Liam.

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Solution

The correct option is **C** Statement 2

James is taller than Liana.

Liana is shorter than Tobby.

So, we can have two cases:

Case 1: Tobby is taller than both of them.

Case 2: Tobby is taller than Liana but shorter than James.

Liam is taller than James.

So, there will be a total of 3 possible cases.

Based on the final cases, we cannot surely say whether Tobby is shorter than Liam.

But we can definitely say that Liana is shorter than Liam.

James is taller than Liana.

Liana is shorter than Tobby.

So, we can have two cases:

Case 1: Tobby is taller than both of them.

Case 2: Tobby is taller than Liana but shorter than James.

Liam is taller than James.

So, there will be a total of 3 possible cases.

Based on the final cases, we cannot surely say whether Tobby is shorter than Liam.

But we can definitely say that Liana is shorter than Liam.

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