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1291 - Analytical Reasoning

Analytical Reasoning MCQ No. : 47847

A five-member research group is chosen from engineers I, J, K and L and chemists M, N, O and P. At least three engineers must be in the research group. However,

  • I refuses to work with L
  • J refuses to work with M
  • N refuses to work with O
  • L refuses to work with N

If J is chosen, who else would have to be in the group?

  1. N
  2. O
  3. I
  4. K
  5. L

Correct Answer: D

Explanation:

  • Three engineers from I, J, K and L must be chosen. The only combination are I J K - I K L - I J L - J K L - I J K L.
  • Since I refuses to work with L, combinations I K L, I J L, and I J K L are ruled out. Thus the only combination with the engineer are I J K or J K L
  • Since J refuses to work with M, and N refuses to work with O, the engineers I J K could only work with N and P or O and P.
  • Thus possible combinations of the five-member groups are I J K N P or I J K O P
  • Since J refuses to work with M, and L refuses to work with N, the engineers J K L could only work with O and P. Thus a possible combination of the group is J K L O P
  • The only possible combinations are therefore
  • I J K N P - I J K O P - J K L O P

It can be seen from the three combination I J K N P , I J K O P, and J K L O P

That K appears in every possible group

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