A candidate for public office plans to visit each of the six cities J, K, L, M, N and O exactly once during her campaign. Her aides are setting up the candidate's schedule according to the following restrictions :
The candidate can visit M only after she has visited both L and N.
The candidate cannot visit N before J.
The second city visited by the candidate must be K.
Which of the following could be the order in which the candidate visits the six cities?

Options

A. J,K,N,L,O,M
B. K,J,L,N,M,O
C. O,K,M,L,J,N
D. L,K,O,N,M,J

Answer

A

Explanation

Begin by summarising the infrormation: `(L+N)ltM`
`JltN`
K=2
Note: Since the candidate cannot visit two cities simultaneously, the condition " The candidate cannot visit N before J" is equivalent to " She must visit J before N."
This question supplies no additional information, so just take each condition and apply it to the answer choices, eliminating those that fall comply with any condition. The first condition requires thatL and N comic before M. Using this condition, we climinate (3) and (5). The second condition states thatJmust come before N, and we eliminate (4). The third condition requires that be the second city, so we eliminate (2). This caves us with(1), and(1), with respect to all three conditions, is a possible order.