Question

Seven people from A to G sit on a horizontal bench in a specific order all of
them are facing north C is an immediate neighbor of E and F. Either E or F
sits at the extreme end of the bench. A and B does not sit together. G sits
on 2nd from the right end. D sits exactly in between E and B but not exactly
in the middle of the bench.​

Answer 1

Given :- Seven people from A to G sit on a horizontal bench in a specific order all of them are facing north C is an immediate neighbor of E and F. Either E or F sits at the extreme end of the bench. A and B does not sit together. G sits on 2nd from the right end. D sits exactly in between E and B but not exactly in the middle of the bench. Find exact sitting arrangements of seven people from Left to right. ?

Solution :-

from statement C is immediate neighbour of E and F and from either E or F sits at the extreme end of the bench we have :-

a) E C F

or,

b) F C E

now, from statement G is from 2nd to the right,

a) F C E _ _ G _ .

or,

b) E C F _ _ G _ .

now, from statement D sits exactly between E and B , but not exactly in middle :-

So, we have :-

a) F C E D B G _ . { here, we can see D is exactly in middle. so , its not possible.}

or,

a) F C E _ D G B .

{ here D is exactly one away from E and B and also not in immediate middle. }

Taking (b) now,

→ E C F _ _ G _ .

→ E C F D _ G B . { D is in middle . so not possible. }

Therefore, Correct pattern will be :-

→ F C E _ D G B .

Putting A in Exactly middle now, we get,

→ F C E A D G B. { here its also true that A and B does not sit together. }

Hence, Correct Pattern for 7 people sitting in a horizontal bench facing north from Left to Right is = F, C, E, A, D, G, B. (Ans.)

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Answer 2

Given :- Seven people from A to G sit on a horizontal bench in a specific order all of them are facing north C is an immediate neighbor of E and F. Either E or F sits at the extreme end of the bench. A and B does not sit together. G sits on 2nd from the right end. D sits exactly in between E and B but not exactly in the middle of the bench. Find exact sitting arrangements of seven people from Left to right. ?

Solution :-

from statement C is immediate neighbour of E and F and from either E or F sits at the extreme end of the bench we have :-

a) E C F

or,

b) F C E

now, from statement G is from 2nd to the right,

a) F C E _ _ G _ .

or,

b) E C F _ _ G _ .

now, from statement D sits exactly between E and B , but not exactly in middle :-

So, we have :-

a) F C E D B G _ . { here, we can see D is exactly in middle. so , its not possible.}

or,

a) F C E _ D G B .

{ here D is exactly one away from E and B and also not in immediate middle. }

Taking (b) now,

→ E C F _ _ G _ .

→ E C F D _ G B . { D is in middle . so not possible. }

Therefore, Correct pattern will be :-

→ F C E _ D G B .

Putting A in Exactly middle now, we get,

→ F C E A D G B. { here its also true that A and B does not sit together. }

Hence, Correct Pattern for 7 people sitting in a horizontal bench facing north from Left to Right is = F, C, E, A, D, G, B. (Ans.)

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