Question
Download Solution PDFG is shorter than FStudy the following information carefully and answer the following question., B, C, D, E, F, G, and H are eight students, each having a different height.
(i) D is shorter than A but taller than G.
(ii) E is taller than H but shorter than C.
(iii) B is shorter than D but taller than F
(iv) C is shorter than G.
(v) G is not as tall as F.
Which of the following statements is definitely INCORRECT?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFLet's analyze the given statements to determine the relative heights of the eight students: A, B, C, D, E, F, G, H.
(i) D is shorter than A but taller than G.
This can be written as: A > D > G
(ii) E is taller than H but shorter than C.
This can be written as: C > E > H
(iii) B is shorter than D but taller than F.
This can be written as: D > B > F
(iv) C is shorter than G.
This can be written as: G > C
(v) G is not as tall as F.
This means G is shorter than F: F > G
Now, let's combine these inequalities to establish the overall height order:
From (iv) and (ii):
G > C > E > H
From (v) and the above:
F > G > C > E > H
From (i):
A > D > G
Combining this with F > G, we know G is shorter than D and F. Now we need to place D relative to F.
From (iii):
D > B > F
This definitively places D as taller than F.
So, the complete combined order is:
A > D > B > F > G > C > E > H
Now, let's evaluate each of the given options based on this established order:
- G is shorter than F.
From our order (F > G), this statement is TRUE. - C is shorter than F.
From our order (F > G > C), this statement is TRUE. - F is taller than C.
From our order (F > G > C), this statement is TRUE.
Since all the statements (1, 2, and 3) are true based on the provided information.
Hence, the correct answer is "Option 4".
Last updated on Jun 12, 2025
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