In a row of five buildings - A, B, C, D and E, which building is in the middle?
(I) Buildings D and B are at the two extreme ends of the row.
(II) Building E is to the right of building C.
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → If the data given in both statements I and II together are not sufficient to answer the question
The data are sufficient only if they leave one building, and only one, in the middle (the 3rd place). Each statement is tested alone, then the two together.
Statement I alone: D and B take the two ends, but A, C and E can stand in the three middle places in any order — not sufficient
Statement II alone: E is somewhere to the right of C, and every other place is open — not sufficient
Both together: A, C and E fill places 2 to 4 with C to the left of E, which still allows three orders:
C, E, A — E in the middle
C, A, E — A in the middle
A, C, E — C in the middle
The middle building can still be E, A or C, so even both statements together are not sufficient.