Seven people A, B, D, J, O, T and Z are sitting in a row, facing north. Only one person sits to the right of A. Only three people sit between B and A. Only three people sit between T and J, neither of whom sits on the left end. D sits immediately to the right of Z. Only one person sits between T and O. Who sits immediately to the left of A?
D
Number the seats 1 to 7 from left to right (all face north). Only one person sits to the right of A, so A is at seat 6.
Only three people sit between B and A, so B and A are four seats apart. With A at seat 6, B must be at seat 2.
Only three people sit between T and J (four seats apart) and neither sits at the left end (seat 1). The remaining four-apart pairs are seats 3 and 7, so T and J occupy seats 3 and 7 in some order.
Only one person sits between T and O, so T and O are two seats apart. Testing T at seat 3 gives O at seat 1 or 5; testing T at seat 7 gives O at seat 5.
D sits immediately to the right of Z, so Z and D are adjacent. The still-empty seats are 1, 4 and 5. If T is at 3, J at 7 and O at 1, then Z and D take seats 4 and 5 as Z\(=\)4, D\(=\)5, which are adjacent and valid. The other cases leave no adjacent pair for Z and D.
The final order is: seat 1 O, seat 2 B, seat 3 T, seat 4 Z, seat 5 D, seat 6 A, seat 7 J. The person immediately to the left of A (seat 6) is at seat 5.
Hence, the person sitting immediately to the left of A is D.
Similar Questions
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- Study the given information carefully and answer the question that follows.
Eight persons A, B, C, D, E, F, G and H are sitting in a row facing the north but not necessarily in the same order. Three persons are sitting between D and F. G is sitting to the immediate left of D. Only one person is sitting between E and B. E is not sitting at any of the extreme ends. More than three persons are sitting between H and A. A is sitting to the left of H. Either H or A is sitting at one of the ends. Neither D nor F is sitting at any of the extreme ends. E and B are not the immediate neighbours of G and D. E is sitting to the right of B.
How many persons are sitting between H and C?
Important Questions from Linear Arrangement
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