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There are five different houses, A to E, in a row. A is to the right of B and E is to the left of C and right of A, B is to the right of D. Which of the houses is in the middle ?Question 1Answera.Eb.Ac.Cd.D

Question

There are five different houses, A to E, in a row. A is to the right of B and E is to the left of C and right of A, B is to the right of D. Which of the houses is in the middle ?Question 1Answera.Eb.Ac.Cd.D

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Solution

To solve this problem, we need to arrange the houses according to the given conditions:

  1. A is to the right of B: This gives us two possible arrangements - BA or B_A (with A somewhere to the right of B).

  2. E is to the left of C and right of A: This means E is between A and C. So, our possible arrangements now become B_E_C or B_A_E_C.

  3. B is to the right of D: This means D is to the left of B. So, our possible arrangements now become D_B_E_C or D_B_A_E_C.

Since there are only five houses and four have been placed, the remaining house must be placed in the only open spot. So, the final arrangement is D_B_A_E_C.

Therefore, the house in the middle is A.

This problem has been solved

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