Study the following information carefully and answer the questions given below:
Six persons – A, B, C, D, E and F – were born in different months – April, July, and September – on two different dates, i.e., 9th and 26th of the same year. Each person likes a different colour – Red, Blue, Pink, Green, White, and Yellow. All the information is not necessarily used in the same order
Two persons were born between F and the person who likes red. D was born immediately before F on an odd date and in the month having even number of days. The one who likes pink was born two persons before C. E was born immediately before C on an even date. Two persons were born between the ones who like pink and blue. A was born before the one who likes green and two persons after the one who likes yellow. E doesn’t like yellow.
Who among the following likes white color?
Correct Answer :
The one who was born four persons before B
Solution :
To find the person who likes the white color, let us analyze the given information step-by-step and place each person in their respective birth slots.
The six birth dates in chronological order are:
1. April 9th (Odd date, even month days)
2. April 26th (Even date, even month days)
3. July 9th (Odd date, odd month days)
4. July 26th (Even date, odd month days)
5. September 9th (Odd date, even month days)
6. September 26th (Even date, even month days)
Step 1: Determine the positions of D and F
According to the clues, D was born immediately before F on an odd date in a month having an even number of days (April or September, which have 30 days). Therefore, D must be born on either April 9th or September 9th.
Let's analyze Case 1: D is born on April 9th (Slot 1).
Since D is immediately before F, F must be born on April 26th (Slot 2).
Step 2: Determine the position of the person who likes Red
We are told that two persons were born between F (Slot 2) and the person who likes Red.
This means the person who likes Red must be born on September 9th (Slot 5).
Step 3: Place E, C, and the person who likes Pink
We know that:
- The one who likes Pink was born two persons before C (which means Pink, [Person], C).
- E was born immediately before C on an even date (26th).
This means the sequence is: Pink (Slot ), E (Slot ), and C (Slot ), where E is on an even date.
Since Slot 2 (April 26th) is occupied by F, E must be born on July 26th (Slot 4).
Therefore:
- C is born on September 9th (Slot 5). (Thus, C likes Red).
- The one who likes Pink is born on July 9th (Slot 3).
Step 4: Place the remaining colors and persons
- Two persons were born between the ones who like Pink (Slot 3) and Blue. This means the person who likes Blue is born on September 26th (Slot 6).
- A was born two persons after the one who likes Yellow (Yellow, [Person], A). Since E (Slot 4) doesn't like Yellow, the one who likes Yellow must be D (Slot 1), which means A is born on July 9th (Slot 3) and likes Pink.
- A was born before the one who likes Green. Since the slots after A are 4, 5, and 6, and C (Slot 5) likes Red and B (Slot 6) likes Blue, E (Slot 4) must like Green.
- The remaining person B is born on September 26th (Slot 6).
- The remaining color is White, which must be liked by F (Slot 2).
Conclusion:
The final arrangement is:
- April 9th: D (Yellow)
- April 26th: F (White)
- July 9th: A (Pink)
- July 26th: E (Green)
- September 9th: C (Red)
- September 26th: B (Blue)
The person who likes the white color is F. F was born on April 26th (Slot 2), which is four persons before B (born on September 26th, Slot 6).
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