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.

Four of the following five are alike in a certain way so form a group, which of the following does not belong to that group?

The correct option is R.

Step-by-Step Explanation:

1. Understand the given schedule:

There are 5 months: August (31 days), September (30 days), October (31 days), November (30 days), and December (31 days).

Each month has two dates: 10^th and 15^th, making 10 total slots in chronological order:

1. August 10^th (Odd number of days, Even date)

2. August 15^th (Odd number of days, Odd date)

3. September 10^th (Even number of days, Even date)

4. September 15^th (Even number of days, Odd date)

5. October 10^th (Odd number of days, Even date)

6. October 15^th (Odd number of days, Odd date)

7. November 10^th (Even number of days, Even date)

8. November 15^th (Even number of days, Odd date)

9. December 10^th (Odd number of days, Even date)

10. December 15^th (Odd number of days, Odd date)

2. Place K, D, S, and G:

• K was born in a month with an odd number of days (August, October, or December).

• Six persons were born between K and D, and D was born after K.

• If K is at Slot 1 (August 10^th), then 6 persons are between K and D, which puts D at Slot 8 (November 15^th).

• If K is at Slot 2 (August 15^th), D would be at Slot 9 (December 10^th). But D was not born in the last month (December). Therefore, K must be born on August 10^th (Slot 1) and D is born on November 15^th (Slot 8).

• Two persons were born between D (Slot 8) and S. Counting upwards, S is at Slot 5 (October 10^th).

• The number of persons born before S is 4 (Slots 1 to 4). Thus, the number of persons born after G must also be 4. This places G at Slot 6 (October 15^th).

3. Place R, F, and P:

• R was born on an even date (10^th) and in a month with an even number of days (September or November). The 10^th of September is Slot 3, and the 10^th of November is Slot 7.

• Five persons were born between R and F. If R is at Slot 3 (September 10^th), F is at Slot 9 (December 10^th). (If R were at Slot 7, F would be at Slot 1, but Slot 1 is already K).

• Thus, R is at Slot 3 (September 10^th) and F is at Slot 9 (December 10^th).

• F was born in the same month as P (December). Since F is on December 10^th, P must be on December 15^th (Slot 10).

4. Place H, Z, and V:

• The remaining vacant slots are Slot 2 (August 15^th), Slot 4 (September 15^th), and Slot 7 (November 10^th).

• Z was born before V but after H (Order: H ... Z ... V).

• Therefore: H = Slot 2 (August 15^th), Z = Slot 4 (September 15^th), V = Slot 7 (November 10^th).

Final Arrangement:

1. August 10^th: K

2. August 15^th: H

3. September 10^th: R

4. September 15^th: Z

5. October 10^th: S

6. October 15^th: G

7. November 10^th: V

8. November 15^th: D

9. December 10^th: F

10. December 15^th: P

5. Determine the odd one out:

• H (August 15^th) is born on an odd date (15^th).

• G (October 15^th) is born on an odd date (15^th).

• D (November 15^th) is born on an odd date (15^th).

• R (September 10^th) is born on an even date (10^th).

Since R is the only one born on an even date (10^th) while the others are born on odd dates (15^th), R does not belong to the group.