Seven men A, B, C, D, E, F, and G are standing in a queue in that order. Each one is wearing a cap of a different color: Violet, Indigo, Blue, Green, Yellow, Orange, and Red. 1. D is able to see in front of him Green and Blue, but not Violet. 2. E can see Violet and Yellow, but not Red. 3. G can see caps of all colors other than Orange. If E is wearing an Indigo-colored cap, then the color of the cap worn by F is:

QUESTION

CSAT

Easy

Reasoning

Prelims 2013

Seven men A, B, C, D, E, F, and G are standing in a queue in that order. Each one is wearing a cap of a different color: Violet, Indigo, Blue, Green, Yellow, Orange, and Red.

D is able to see in front of him Green and Blue, but not Violet.
E can see Violet and Yellow, but not Red.
G can see caps of all colors other than Orange.

If E is wearing an Indigo-colored cap, then the color of the cap worn by F is:

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Explanation

Step 1: Interpreting the positions The queue consists of seven men in the order: A, B, C, D, E, F, G. Each wears a different-colored cap: Violet, Indigo, Blue, Green, Yellow, Orange, and Red.

Step 2: Analyzing the clues Clue 1: D can see Green and Blue, but not Violet. Therefore, D is not wearing Violet, and D must be in a position such that Green and Blue are ahead of him (possibly at positions C and B). D cannot see Violet, so Violet is likely at a position behind D. Clue 2: E can see Violet and Yellow, but not Red. Therefore, E is in a position where Violet and Yellow are ahead of him, and Red is behind him.

Clue 3: G can see all caps except Orange. So, G must be wearing Orange, and the remaining six caps are in front of him (since Orange is not visible to him).

Step 3: Determining F’s cap Given that E is wearing an Indigo-colored cap (from the condition), we can use this fact to deduce the position of F. Since E can see Violet and Yellow but not Red, and G must be wearing Orange, F must be wearing the Red cap to satisfy the given constraints.

Final Answer: The color of the cap worn by F is Red.

Thus, the correct answer is: C. Red.

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