Question Details

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., 10th and 15th. 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.

How many persons were born between V and P?

Options

A

Three

B

None

C

One

D

Two

Show Answer

Correct Answer :

Option D

Two

Solution :

The correct answer is Two.


Step-by-Step Explanation:


Step 1: Determine the total positions and available dates/months.

Ten persons are born in five months (August, September, October, November, December) on two dates (10th and 15th):

1. August 10 (31 days)
2. August 15 (31 days)
3. September 10 (30 days)
4. September 15 (30 days)
5. October 10 (31 days)
6. October 15 (31 days)
7. November 10 (30 days)
8. November 15 (30 days)
9. December 10 (31 days)
10. December 15 (31 days)


Step 2: Place K and D.

K was born in a month with an odd number of days (31 days: August, October, or December).
Six persons were born between K and D, and D was born after K.
D was not born last (December 15).

If K is born on August 10th (Position 1), then 6 persons are between K and D, so D is born on November 15th (Position 8). This satisfies D not being last.
If K is born on August 15th (Position 2), then 6 persons are between K and D, so D is born on December 10th (Position 9).
Let's analyze position 8 for D (K on August 10):
If K is at Position 1 (Aug 10), D is at Position 8 (Nov 15).


Step 3: Place S and G.

Two persons were born between D and S.
Since D is at Position 8 (Nov 15), S can be at Position 5 (Oct 10).
Number of persons born before S (Position 5) is 4.
Thus, the number of persons born after G must also be 4, placing G at Position 6 (Oct 15).


Step 4: Place R, F, and P.

R was born on an even date (10th) in a month with an even number of days (30 days: September 10 or November 10).
If R is born on September 10 (Position 3):
Five persons were born between R and F, so F is at Position 9 (Dec 10).
F was born in the same month as P, so P must be born on December 15 (Position 10).


Step 5: Place H, Z, and V.

The remaining empty positions are 2 (Aug 15), 4 (Sep 15), and 7 (Nov 10).
Z was born before V but after H.
So the order must be H → Z → V.
- Position 2 (Aug 15): H
- Position 4 (Sep 15): Z
- Position 7 (Nov 10): V


Final Arrangement:

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


Conclusion:

V is born on November 10 (Position 7) and P is born on December 15 (Position 10).
The persons born between V and P are D (Position 8) and F (Position 9).
Therefore, exactly Two persons were born between V and P.

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