Question Details

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.

Which of the following statements is/are incorrect?
I. C was born before D.
II. No person was born between F and the one who likes pink color.
III. E was born in the month having odd number of days and likes green color.

Options

A

Both II and III

B

Only I

C

Both I and III

D

Only III

Show Answer

Correct Answer :

Option B

Only I

Only I

Solution :

To determine which statement is incorrect, we must analyze the clues step-by-step and reconstruct the chronological order of births for the six individuals (A, B, C, D, E, and F).

The birth months and dates in chronological order of the same year are:
1. April 9 (April has 30 days - even number of days, 9 is an odd date)
2. April 26 (26 is an even date)
3. July 9 (July has 31 days - odd number of days, 9 is an odd date)
4. July 26 (26 is an even date)
5. September 9 (September has 30 days - even number of days, 9 is an odd date)
6. September 26 (26 is an even date)

Step 1: Placement of D and F
According to the clues, D was born immediately before F on an odd date (9th) and in a month with an even number of days (April or September).
This gives us two possible cases:
- Case 1: D was born on April 9 and F was born on April 26.
- Case 2: D was born on September 9 and F was born on September 26.

Step 2: Testing Case 1 (D on April 9, F on April 26)
- Two persons were born between F and the person who likes red. Since F is at position 2 (April 26), the person who likes red must be at position 5 (September 9).
- The person who likes pink was born two persons before C, and E was born immediately before C on an even date. This requires the consecutive sequence: [Pink] → E (on an even date) → C.
- Since E must be on an even date, and April 26 is already occupied by F, E must be born on July 26. Consequently, the person who likes pink is born on July 9, and C is born on September 9 (who also likes red).
- Two persons were born between the ones who like pink (July 9, position 3) and blue. Thus, the person born on September 26 (position 6) must like blue.
- A was born two persons after the one who likes yellow. This means: [Yellow] → [Someone] → A. The remaining positions for the people A and B are July 9 (position 3) and September 26 (position 6).
- If A is born on July 9, the person who likes yellow must be born on April 9 (D). This is a valid arrangement. Consequently, B is born on September 26 (likes blue).
- A was born before the one who likes green. A is born on July 9, so the person born on July 26 (E) must like green.
- E does not like yellow, which is satisfied since D likes yellow and E likes green. The remaining color, white, is liked by F (April 26).

The final arrangement for Case 1 is:
1. April 9: D (Yellow)
2. April 26: F (White)
3. July 9: A (Pink)
4. July 26: E (Green)
5. September 9: C (Red)
6. September 26: B (Blue)

Step 3: Evaluating the Statements
- I. C was born before D: C was born on September 9 and D was born on April 9. Thus, C was born after D. This statement is incorrect.
- II. No person was born between F and the one who likes pink color: F was born on April 26 and A (who likes pink) was born on July 9. Since these are consecutive birth dates in the list, no person from the group was born between them. This statement is correct.
- III. E was born in the month having odd number of days and likes green color: E was born on July 26 (July has 31 days, which is odd) and likes green. This statement is correct.

Therefore, only statement I is incorrect.

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