Read the following information carefully and answer the questions given below:

Eight persons — A, B, C, D, E, F, G and H — were born on two different dates i.e. 11th and 20th of four different months viz. August, October, November and December of the same year. No two persons were born on the same day.

G was born four persons before B. B was born in the month having even number of days. E was born two persons after G. A was born three persons before E. F was born in the month having even number of days. F was born after C. D was born on an odd number date.

Which of the following statements is/are incorrect?
I. D was born on 11th December
II. As many persons were born before G as after H.
III. E was born three persons before D.

The correct option is Only II.

Step-by-Step Explanation:

Let's analyze the given information step-by-step to arrange the eight persons according to their birth dates.

Available Months and Dates:

1. August 11 (31 days)

2. August 20 (31 days)

3. October 11 (31 days)

4. October 20 (31 days)

5. November 11 (30 days - even number of days)

6. November 20 (30 days - even number of days)

7. December 11 (31 days)

8. December 20 (31 days)

Clues Analysis:

1. "B was born in the month having even number of days."

Months with an even number of days is November (30 days). So, B was born on either 11th November or 20th November.

2. "G was born four persons before B."

This means there are 3 persons born between G and B (G _ _ _ B).

• If B is born on 11th November (5th position), G must be born on 11th August (1st position).

• If B is born on 20th November (6th position), G must be born on 20th August (2nd position).

3. "E was born two persons after G."

This means there is 1 person between G and E (G _ E).

• Case 1: If G is on 11th August (1st), then E is on 11th October (3rd).

• Case 2: If G is on 20th August (2nd), then E is on 20th October (4th).

4. "A was born three persons before E."

This means there are 2 persons between A and E (A _ _ E).

For Case 1, E is at position 3, so A would be at position (3 - 3 = 0), which is impossible!

Therefore, Case 1 is eliminated.

For Case 2:

• G is at position 2 (20th August).

• E is at position 4 (20th October).

• A is at position 1 (11th August, since 4 - 3 = 1).

• B is at position 6 (20th November).

5. Let's check the remaining clues for the rest of the positions:

Position 1: A (11th August)

Position 2: G (20th August)

Position 3: (11th October)

Position 4: E (20th October)

Position 5: (11th November)

Position 6: B (20th November)

Position 7: (11th December)

Position 8: (20th December)

6. "F was born in the month having even number of days."

The remaining spot in November (30 days) is 11th November (Position 5). Thus, F is born on 11th November.

7. "F was born after C."

Since F is at position 5, C must take the open spot before F, which is 11th October (Position 3).

8. "D was born on an odd number date."

The remaining odd date position is 11th December (Position 7). So, D is born on 11th December.

9. The remaining person H takes the last available position, which is 20th December (Position 8).

Final Arrangement:

• 11th August: A

• 20th August: G

• 11th October: C

• 20th October: E

• 11th November: F

• 20th November: B

• 11th December: D

• 20th December: H

Evaluating the Given Statements:

• Statement I: D was born on 11th December. (Correct)

• Statement II: As many persons were born before G as after H.

Persons born before G = 1 (A)

Persons born after H = 0

Since 1 ≠ 0, Statement II is Incorrect.

• Statement III: E was born three persons before D.

E is at position 4 (20th October) and D is at position 7 (11th December). Position 7 - 3 = Position 4. So, E was born three persons before D. (Correct)

Therefore, only statement II is incorrect.