There are seven persons up on a ladder, A, B, C, D, E, F and G (not in that order). A is further up than E but is lower than C. B is in the middle. G is between A and B. E is between B and F. If F is between E and D, the person on the bottom step of the ladder will be
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9
just foprget about order.very easy
A_B_C_D_E_F_G
since B is in the middle
A_C_D_B_E_F_G
since A is further up than E but less than C
C_A_D_B_E_F_G
G is in the middle of A and B so
C_A_G_B_D_E_F
since e is between B and F
C_A_G_B_E_F_D
the person who is the last is D
so our final sequence is
C_A_G_B_E_F_D
A_B_C_D_E_F_G
since B is in the middle
A_C_D_B_E_F_G
since A is further up than E but less than C
C_A_D_B_E_F_G
G is in the middle of A and B so
C_A_G_B_D_E_F
since e is between B and F
C_A_G_B_E_F_D
the person who is the last is D
so our final sequence is
C_A_G_B_E_F_D
zackie:
forget not foprget OK
Answered by
3
There are two answers: E or D.
Given B is in the middle of the ladder. So there are 3 persons higher than B and 3 are lower than B.
Given G is in between A and B. So A < G < B. or, B < G < A.
given E is in between B and F. So B < E < F or, F < E < B.
given F is in between E and D, so E < F < D or D < F < E
Given E < A < C
If we choose, A < G < B, then E < A < G < B. ie., 3 persons lower than B.
The person E is on the lowest step.
Hence, the remaining C , D and F are above B. Hence, we choose, B < E < F. Since, E < F then we choose E < F < D. So B < E < F < D.
So the order is E < A < G < B < E < F < D.
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There is a second solution.
given E < A < C.
Now, suppose we choose, B < G < A.
Then B < G < A < C. Hence, D, E and F are below B.
So we choose, F < E < B and D < F< E.
Thus the order is : D < F < E < B < G < A < C
hence, the person D is on the bottom step of the ladder.
Given B is in the middle of the ladder. So there are 3 persons higher than B and 3 are lower than B.
Given G is in between A and B. So A < G < B. or, B < G < A.
given E is in between B and F. So B < E < F or, F < E < B.
given F is in between E and D, so E < F < D or D < F < E
Given E < A < C
If we choose, A < G < B, then E < A < G < B. ie., 3 persons lower than B.
The person E is on the lowest step.
Hence, the remaining C , D and F are above B. Hence, we choose, B < E < F. Since, E < F then we choose E < F < D. So B < E < F < D.
So the order is E < A < G < B < E < F < D.
======================================
There is a second solution.
given E < A < C.
Now, suppose we choose, B < G < A.
Then B < G < A < C. Hence, D, E and F are below B.
So we choose, F < E < B and D < F< E.
Thus the order is : D < F < E < B < G < A < C
hence, the person D is on the bottom step of the ladder.
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