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.
How many persons sit between C and the one who likes Orange?
Correct Answer :
Two
Solution :
The correct option is Two.
Step-by-Step Explanation:
Let six positions in a row facing North be numbered 1 to 6 from left to right.
Step 1: Use the fixed positional clues.
1. The person who likes Strawberry sits at the right end (Position 6).
2. C sits 3rd to the right of E (Position of C = Position of E + 3), and C does not sit at any extreme ends (Positions 1 or 6).
Since C cannot be at 1 or 6, C can only be at Position 4 or 5:
- If C is at Position 4, then E is at Position 1.
- If C is at Position 5, then E is at Position 2.
Step 2: Evaluate the cases.
Case 1: If E = 1 and C = 4:
B sits 3rd to the left of the one who likes Guava. Thus, Position of Guava - Position of B = 3.
Since Position 1 is occupied by E, B can be at Position 2, making Guava sit at Position 5.
Now, A sits 2nd to the left of the one who likes Mango. So, Position of Mango - Position of A = 2, and A likes Banana.
The remaining open positions for persons are 3, 5, and 6. However, if A sits at 3, Mango would be at 5 (which is already assigned to Guava), leading to a contradiction. Hence, Case 1 is eliminated.
Case 2: If E = 2 and C = 5:
Since E is at Position 2, B must sit at Position 1, which puts Guava at Position 4 (since 4 - 3 = 1).
Now, for A (who likes Banana) to sit 2nd to the left of Mango, A must be at Position 3, which means C (at Position 5) likes Mango.
Step 3: Determine the positions of the remaining persons and fruits.
The remaining positions for persons D and F are Positions 4 and 6.
The clue states: "There are as many persons sitting to the right of D as to the left of the one who likes Apple."
Let's check D at Position 6:
Number of persons to the right of D (at Position 6) = 0.
For the persons to the left of Apple to also be 0, Apple must be at Position 1 (which is B).
This works perfectly!
- D sits at Position 6 and likes Strawberry.
- F sits at Position 4 and likes Guava.
- B sits at Position 1 and likes Apple.
- The remaining fruit, Orange, goes to E at Position 2.
Final Seating Arrangement (Left to Right, Positions 1 to 6):
1. B - Apple
2. E - Orange
3. A - Banana
4. F - Guava
5. C - Mango
6. D - Strawberry
Conclusion:
C is at Position 5, and the one who likes Orange (E) is at Position 2.
The persons sitting between C (Position 5) and E (Position 2) are A (Position 3) and F (Position 4).
Therefore, there are Two persons sitting between C and the one who likes Orange.
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