Study the following information carefully and answer the questions given below.
Seven persons – A, B, C, D, E, F and G go to watch a puppet show one after another but not necessarily in the same order.
D goes to the puppet show three persons before C. One person goes between C and G. As many persons go after G, as before F. F doesn’t go first to watch the puppet show. B goes immediately before A.

As many persons go before A as after___.

The correct option is E.

Step-by-step Explanation:

Let us determine the exact order of seven persons going to watch the puppet show (positions 1 to 7 from first to last):

1. Analyze Clue 1: "D goes to the puppet show three persons before C."

This means there are two persons between D and C (Order: D _ _ C).

2. Analyze Clue 2: "One person goes between C and G."

So, G can go either two positions after C or two positions before C.

3. Analyze Clue 3: "As many persons go after G, as before F."

This means the position of F from the start is the same as the position of G from the end.

4. Analyze Clue 4: "F doesn’t go first to watch the puppet show."

So, F cannot be at position 1, which means G cannot be at position 7.

5. Analyze Clue 5: "B goes immediately before A."

This forms a block (B, A) together in consecutive slots.

Testing possible positions:

Let's place D and C:

- If D is at position 1, then C is at position 4.

Now place G (1 person between C and G):

- G could be at position 2 or position 6.

- If G is at position 6 (2nd from end), F must be at position 2 (2nd from start). Then remaining slots for (B, A) together would be positions 3 & 4 (occupied by C) or 5 & 6 (occupied by G). This creates a conflict.

- If G is at position 2 (2nd from start, 6th from end), F must be at position 6. Slots left: 1 (D), 2 (G), 3, 4 (C), 5, 6 (F), 7. Slots 3 and 5 are open, but (B, A) need two consecutive slots, which are not available.

Now try D at position 2, so C is at position 5:

- If G is at position 3 (3rd from start, 5th from end), then F must be at position 5 (occupied by C, invalid).

- If G is at position 7, F must be at position 1 (forbidden by Clue 4, invalid).

Now try D at position 3, so C is at position 6:

- If G is at position 4 (4th from start/end), then F must also be at position 4 (invalid since G and F must be distinct persons).

Now try D at position 4, so C is at position 7:

- One person between C and G means G must be at position 5.

- Since G is at position 5 (3rd from end), F must be at position 3 (3rd from start).

- Now the order of known positions is: _ , _ , F , D , G , _ , C.

- B goes immediately before A, so (B, A) must occupy positions 1 and 2 respectively.

- The remaining person, E, must occupy position 6.

Final Order:

1 - B
2 - A
3 - F
4 - D
5 - G
6 - E
7 - C

Question Verification:

"As many persons go before A as after ___."

There is 1 person before A (B is at position 1).

The person who has exactly 1 person after them is E (C is after E at position 7).

Therefore, as many persons go before A as after E.