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Study the following information carefully and answer the question given below:(i) A, B, C, D, E, F, G and H are eight students, each having a different height.(ii) D is shorter than A but taller than G.(iii) E is taller than H but shorter than C.(iv) B is shorter than D but taller than F.(v) C is shorter than G.(vi) G is not as tall as F.Which of the following is definitely false?

Question

Study the following information carefully and answer the question given below:(i) A, B, C, D, E, F, G and H are eight students, each having a different height.(ii) D is shorter than A but taller than G.(iii) E is taller than H but shorter than C.(iv) B is shorter than D but taller than F.(v) C is shorter than G.(vi) G is not as tall as F.Which of the following is definitely false?

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Solution

From the given information, we can deduce the following:

(i) D is shorter than A but taller than G. This gives us: A > D > G (ii) E is taller than H but shorter than C. This gives us: C > E > H (iii) B is shorter than D but taller than F. This gives us: D > B > F (iv) C is shorter than G. This gives us: G > C (v) G is not as tall as F. This gives us: F > G

Combining all the information, we get: A > D > B > F > G > C > E > H

So, the statement that is definitely false is "C is shorter than G". According to our deductions, C is taller than G.

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