Study the information carefully and answer the questions given below
Six persons i.e. A, B, C, D, E and F sit in row such that all of them face in the north direction. They all like different fruits i.e. Mango, Strawberry, Guava, Orange, Apple and Banana but not necessarily in the same order.
The one who likes Strawberry sits at the right end. B sits 3rd to the left of the one who likes Guava. A sits 2nd to the left of the one who likes Mango, and likes Banana. C sits 3rd to the right of E but not sit at any extreme ends. There are as many persons sit to the right of D is same as to the left of the one who likes Apple.
Four of the following five are alike in a certain way and hence form a group. Which of the following does not belong to that group?
Correct Answer :
C-Mango
Solution :
The correct answer is C-Mango.
Let us analyze the given information step-by-step to determine the seating arrangement and fruit preferences of all six persons (A, B, C, D, E, and F) facing North across 6 positions (numbered 1 to 6 from left to right).
Step 1: Positioning based on definite clues
1. The one who likes Strawberry sits at the right end (Position 6).
2. C sits 3rd to the right of E, but C does not sit at any extreme end. Since C cannot be at Position 6, C must be at Position 5. Therefore, E must be at Position 2 (since 5 - 3 = 2).
Current arrangement of persons by position (1 to 6):
Position 1: _
Position 2: E
Position 3: _
Position 4: _
Position 5: C
Position 6: _ (Likes Strawberry)
Step 2: Placing B and Guava
3. B sits 3rd to the left of the one who likes Guava.
- If B is at Position 1, the person who likes Guava is at Position 4 (1 + 3 = 4).
- If B is at Position 2, B would replace E, which is impossible.
So, B must be at Position 1, and the person at Position 4 likes Guava.
Current arrangement:
Position 1: B
Position 2: E
Position 3: _
Position 4: _ (Likes Guava)
Position 5: C
Position 6: _ (Likes Strawberry)
Step 3: Placing A, Mango, and Banana
4. A sits 2nd to the left of the one who likes Mango, and A likes Banana.
- Positions left for A are 3 and 6 (since 1, 2, 5 are occupied). A cannot be at position 6 (extreme right), nor can A be at position 6 because then Mango would be at position 8 (out of bounds).
- If A is at Position 3 (likes Banana), then the person at Position 5 (C) likes Mango (3 + 2 = 5).
Current arrangement:
Position 1: B
Position 2: E
Position 3: A (Likes Banana)
Position 4: _ (Likes Guava)
Position 5: C (Likes Mango)
Position 6: _ (Likes Strawberry)
Step 4: Placing D and F, and Apple/Orange
5. The remaining positions for persons are 4 and 6. The remaining persons are D and F.
6. "There are as many persons sitting to the right of D as to the left of the one who likes Apple."
- If D is at Position 6: 0 persons to the right of D. Thus, 0 persons to the left of Apple, meaning Apple must be at Position 1. This leaves F at Position 4.
- Then Orange must be at Position 2 (E).
Let's summarize the final seating arrangement from left (Position 1) to right (Position 6):
Position 1: B - Apple
Position 2: E - Orange
Position 3: A - Banana
Position 4: F - Guava
Position 5: C - Mango
Position 6: D - Strawberry
Step 5: Analyzing the options to find the odd one out
Let's check the relation between each person and fruit given in the options:
- B - Banana: B (Position 1) sits 2nd to the left of the one who likes Banana (A at Position 3).
- F - Orange: F (Position 4) sits 2nd to the right of the one who likes Orange (E at Position 2).
- E - Guava: E (Position 2) sits 2nd to the left of the one who likes Guava (F at Position 4).
- A - Apple: A (Position 3) sits 2nd to the right of the one who likes Apple (B at Position 1).
- C - Mango: C IS the person who likes Mango (both are at Position 5).
In all options except "C-Mango", the person and the fruit are separated by one position (i.e. one sits 2nd to the left or right of the fruit's position). In "C-Mango", C itself likes Mango. Hence, C-Mango does not belong to the group.
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