Question

Certain numbers of people are sitting in a row facing north. Three people sit between D and A . E sits second to the right of A . Number of people sitting between E and D is the same as the number of people sitting between D and B . G sits third to the right of B . Two people sit between G and C . C sits at one of the extreme ends. Six people sit between F and E . Number of people sitting to the right of G is the same as the number of people sitting to the left of F.​

Answer 1

Certain numbers of people are sitting in a row facing north. Three people sit between D and A . E sits second to the right of A . Number of people sitting between E and D is the same as the number of people sitting between D and B . G sits third to the right of B . Two people sit between G and C . C sits at one of the extreme ends. Six people sit between F and E . Number of people sitting to the right of G is the same as the number of people sitting to the left of F

Answer 2

The final arrangement will be _ _ _ F _ _ _ _ A _ E _ D _ B _ _ G _ _ C and there are 21 persons sitting in that row.

• The arrangement according to the first condition will give us two arrangements. These are- (1) D _ _ _ A or (2) A _ _ _ D

• According to the second condition, we need to place E to the second to the right of A.

        (1) D_ _ _ A _ E or (2) A _ E _ D

• For the third condition, the arrangement will

        (1) B _ _ _ _ _ D_ _ _ A _ E or (2) A _ E _ D_ B

• In the fourth condition, G sits third to the right of B. The arrangement will be

        (1) B _ _ G _ _ D_ _ _ A _ E or (2) A _ E _ D_ B _ _ G

• In the fifth condition, two people sit between G and C. But this arrangement is not possible for condition (1). So we can discard condition (1). Now we only have to use condition (2) to reach the final arrangement.

        The arrangement of condition (2) will be

        A _ E _ D_ B _ _ G _ _ C

• It is given that C sits at one of the extreme ends. This arrangement is correct till now.
• According to the second last condition, the arrangement will be      F _ _ _ _ A _ E _ D_ B _ _ G _ _ C
• The final arrangement in this question will _ _ _ F _ _ _ _ A _ E _ D_ B _ _ G _ _ C as it fulfils the last condition.
• There is a total of 21 people sitting in this row facing north.

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