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Read the following data and answer the question based on it. Six people A, B, C, D, E and F live in a six-storeyed building, each on one floor. The following statements describe where they stay: (1)…

Question and options

Read the following data and answer the question based on it.
Six people A, B, C, D, E and F live in a six-storeyed building, each on one floor. The following statements describe where they stay:
(1) B lives on floor 6
(2) A is equally far from C and E
(3) F is an engineer
(4) D is two floors above F
(5) C does not live next to an engineer
If condition 5 is invalid, how many types of arrangements are possible?
  1. 2
  2. 3
  3. 1
  4. 5

Answer and explanation

Correct answer: A - 2
Statements 1, 2 and 4 alone force F = 2, D = 4 and A = 3, since no other floor for F leaves A equally far from C and E. C and E can then take floors 1 and 5 in either order, giving 2 arrangements; statement 5 is what fixes C on floor 5 and leaves only one.

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  • CUSAT CAT Five-Year LL.B.

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