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If Sidney is taller than Roger, Roger is taller than Vernon, and Billy

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Bunuel
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If Sidney is taller than Roger, Roger is taller than Vernon, and Billy [#permalink] New post   12 Mar 2024, 01:30
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93% (01:20) correct 7% (01:25) wrong based on 70 sessions
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­If Sidney is taller than Roger, Roger is taller than Vernon, and Billy is taller than both Roger and Felix, then which of the following statements must be true?

A. Felix is shorter than Roger.
B. Sidney is taller than Billy.
C. Roger is shorter than Felix.
D. Sidney is taller than Felix.
E. Billy is taller than Vernon.


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E
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Re: If Sidney is taller than Roger, Roger is taller than Vernon, and Billy [#permalink] New post   12 Mar 2024, 02:16
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Answer (E)

Given:
S>R (greater than sign used to define taller than here)
R>V
B>R and F

Therefore we can derive B>V, which is answer (E)

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Re: If Sidney is taller than Roger, Roger is taller than Vernon, and Billy [#permalink] New post   12 Mar 2024, 04:18
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­

IMO E

We can see from above diagram that position of F and B will vary rest will be constant.
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Re: If Sidney is taller than Roger, Roger is taller than Vernon, and Billy [#permalink] New post   12 Mar 2024, 08:07
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Bunuel wrote:
­If Sidney is taller than Roger, Roger is taller than Vernon, and Billy is taller than both Roger and Felix, then which of the following statements must be true?

A. Felix is shorter than Roger.
B. Sidney is taller than Billy.
C. Roger is shorter than Felix.
D. Sidney is taller than Felix.
E. Billy is taller than Vernon.

­S > R
___R > V
B > R & F­

(A) Reverse relation, can not be concluded...
(B) Relationship can not be established (It can be B > S) 
(C) Can be or can not be true. It can be R = F or R > F
(D) Relationship between R & F is not know hence we can not conclude relationship between S and F
(E) B >R & R > V , So B > R > V Holds good, Answer must be (E)
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Re: If Sidney is taller than Roger, Roger is taller than Vernon, and Billy [#permalink] New post   12 Mar 2024, 12:07
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If Sidney is taller than Roger, Roger is taller than Vernon, and Billy is taller than both Roger and Felix, then which of the following statements must be true?

A. Felix is shorter than Roger. False
B. Sidney is taller than Billy. False
C. Roger is shorter than Felix. False
D. Sidney is taller than Felix. False
E. Billy is taller than Vernon. True

This can be done by representing on a number line

The correct answer is E


 
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Re: If Sidney is taller than Roger, Roger is taller than Vernon, and Billy [#permalink] New post   25 Mar 2024, 12:50
Given : S > R ; R > V ; B > R ; B > F

Sequences created:

1. S > R > V
2. B > R > V
3. B > F


From this, option E is already proven, and other options may or may not be true.
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Re: If Sidney is taller than Roger, Roger is taller than Vernon, and Billy [#permalink]
25 Mar 2024, 12:50
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