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1294 - Analytical Reasoning

Analytical Reasoning MCQ No. : 47958

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 P is chosen, which must be true?

  • I. I must be chosen
  • II. J must be chosen
  • III. O must be chosen
  1. I only
  2. II only
  3. III only
  4. I and III only
  5. Neither I, II or III

Correct Answer: B

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

(B) From the set of possible combinations: I J K N P, I J K O P, J K L O P

Only statement II must be true

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