Directions (74-78): Study the information carefully and answer the questions given below.

Ten persons were born in five different months of the same year starting from August to December, but on two different dates, i.e., 10^th and 15^th. K was born in the month which has odd number of days. Six persons were born in between K and D who was born after K. D was not born in the last. Two persons were born between D and S. The number of persons born before S is same as the number of persons born after G. R was born on an even number date and the month which has even number of days. Five persons were born between R and F who was born in the same month as P. Z was born before V but after H.

Who among the following is third youngest person?

Correct Answer: D

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

1. Identify the given months and dates:
The five months in order are:
- August (31 days)
- September (30 days)
- October (31 days)
- November (30 days)
- December (31 days)
Each month has two dates: 10^th and 15^th. This gives us 10 positions ordered from youngest (latest date) to oldest (earliest date):
1. August 10
2. August 15
3. September 10
4. September 15
5. October 10
6. October 15
7. November 10
8. November 15
9. December 10
10. December 15

2. Determine the positions of K and D:
- "K was born in the month which has odd number of days." (August, October, or December).
- "Six persons were born in between K and D who was born after K."
- "D was not born in the last." (D is not on December 15, which is position 10).

If K is born on August 10 (position 1), then 6 persons are born between K and D, making D's position:

1 + 6 + 1 = 8

This corresponds to November 15. August has 31 days (odd), so this satisfies the condition.

If K were born on August 15 (position 2), D would be at position 9 (December 10). But then K is on August 15, which is valid. Let's check:
If K is August 10 -> D is Nov 15.
If K is August 15 -> D is Dec 10.

Let's evaluate D and S:
"Two persons were born between D and S."
Case A: D is Nov 15 (position 8).
Two persons between D and S means S can be at position 5 (October 10) or position 11 (invalid). So S is at October 10 (position 5).

Case B: D is Dec 10 (position 9).
Two persons between D and S means S is at position 6 (October 15).

Let's check G:
"The number of persons born before S is same as the number of persons born after G."
In Case A: S is at position 5. There are 4 persons born before S. Thus, 4 persons are born after G, which puts G at position 6 (October 15).
In Case B: S is at position 6. There are 5 persons before S, so G is at position 5 (October 10).

Let's check R and F:
"R was born on an even number date and the month which has even number of days."
Even number date = 10^th.
Month with even number of days = September (30 days) or November (30 days).
So R can be on September 10 (position 3) or November 10 (position 7).

"Five persons were born between R and F who was born in the same month as P."
If R is on September 10 (position 3):
5 persons between R and F -> F's position = 3 + 5 + 1 = 9 (December 10).
F is born in December. P must also be born in December (December 15).
If R is on November 10 (position 7):
5 persons between R and F -> F's position = 7 - 5 - 1 = 1 (August 10). But in Case A, position 1 is K. In Case B, position 2 is K.
So R must be at September 10 (position 3), and F must be at December 10 (position 9).

Since F is at position 9 (December 10), D cannot be at position 9 (Case B is ruled out).
Therefore, Case A is correct!

3. Complete the schedule (Case A):
- Position 1 (Aug 10): K
- Position 2 (Aug 15): H / Z / V
- Position 3 (Sep 10): R
- Position 4 (Sep 15): H / Z / V
- Position 5 (Oct 10): S
- Position 6 (Oct 15): G
- Position 7 (Nov 10): H / Z / V
- Position 8 (Nov 15): D
- Position 9 (Dec 10): F
- Position 10 (Dec 15): P (since F and P are in the same month, December)

"Z was born before V but after H." -> Order of H, Z, V is H before Z before V.
Positions remaining for H, Z, V are: Aug 15 (pos 2), Sep 15 (pos 4), Nov 10 (pos 7).
Thus:
- Aug 15: H
- Sep 15: Z
- Nov 10: V

Final Arrangement from oldest to youngest:
1. August 10: K
2. August 15: H
3. September 10: R
4. September 15: Z
5. October 10: S
6. October 15: G
7. November 10: V
8. November 15: D
9. December 10: F
10. December 15: P

Finding the 3^rd youngest person:
- Youngest (10^th): P (December 15)
- 2^nd youngest (9^th): F (December 10)
- 3^rd youngest (8^th): D (November 15)

Hence, the third youngest person is D.