Question Details

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.

How many persons were after H?

Options

A

Two

B

Three

C

Four

D

None

E

One

Show Answer

Correct Answer :

Option D

None

Solution :

The correct answer is None.

Let us solve the puzzle step-by-step to find the exact arrangement of the eight persons born across the given dates and months.

Step 1: Understand the given dates and month lengths
The four months and their number of days are:
- August (31 days - odd)
- October (31 days - odd)
- November (30 days - even)
- December (31 days - odd)

The 8 available positions in chronological order are:
1. August 11th
2. August 20th
3. October 11th
4. October 20th
5. November 11th
6. November 20th
7. December 11th
8. December 20th

Step 2: Analyze the clues
- "B was born in the month having even number of days." -> B must be born in November (either Nov 11th or Nov 20th).
- "G was born four persons before B." -> This means there are 3 persons between G and B.
- "E was born two persons after G." -> This means there is 1 person between G and E (E is 2 positions after G).
- "A was born three persons before E." -> This means there are 2 persons between A and E (A is 3 positions before E).

Let us place these relative to each other in sequence:
Position of B = x
Position of G = x - 4
Position of E = (x - 4) + 2 = x - 2
Position of A = (x - 2) - 3 = x - 5

Let's test the possible positions for B:
- Case 1: B is born on November 11th (Position 5)
If B = 5:
Position of G = 5 - 4 = 1 (August 11th)
Position of E = 5 - 2 = 3 (October 11th)
Position of A = 5 - 5 = 0 (Invalid, since positions start from 1)

- Case 2: B is born on November 20th (Position 6)
If B = 6:
Position of G = 6 - 4 = 2 (August 20th)
Position of E = 6 - 2 = 4 (October 20th)
Position of A = 6 - 5 = 1 (August 11th)

So, the positions determined so far are:
- Position 1 (August 11): A
- Position 2 (August 20): G
- Position 3 (October 11): Unfilled
- Position 4 (October 20): E
- Position 5 (November 11): Unfilled
- Position 6 (November 20): B
- Position 7 (December 11): Unfilled
- Position 8 (December 20): Unfilled

Step 3: Place the remaining persons (C, D, F, H)
- "F was born in the month having even number of days." -> The month with even days is November. Position 6 in November is occupied by B, so F must be born on November 11th (Position 5).
- "F was born after C." -> C must be placed before F (Position 5). The only vacant position before Position 5 is Position 3 (October 11th). So, C is born on October 11th.
- "D was born on an odd number date." -> The remaining vacant dates are December 11th (Position 7) and December 20th (Position 8). Since D was born on an odd-numbered date (11th), D is born on December 11th (Position 7).
- The only remaining person, H, must be born on December 20th (Position 8).

Final Schedule:
1. August 11th — A
2. August 20th — G
3. October 11th — C
4. October 20th — E
5. November 11th — F
6. November 20th — B
7. December 11th — D
8. December 20th — H

Conclusion:
H is born on December 20th, which is the very last date. Therefore, None (0) persons were born after H.

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