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DILR Practice Set – 18

DILR Practice Set – 18

Refer to the data below and answer the ques ons that follow.


Six officers Alwyn, Bob, Charles, Dwayne, Ethan and Fredrick, wearing white, black, blue, green, pink and red shirts, not necessarily in the same order, are to be seated around a circular table in six symmetrically arranged chairs, all facing the center of the table.

i. Officers wearing white and black shirts are si ng opposite to each other.
ii. Officers with the first le er of their names as vowels are neither si ng opposite to each other si ng opposite nor adjacent to each other.
iii. Bob and Charles always sit together.
iv. Officers wearing red and pink shirts are not si ng adjacent to each other.
v. Alwyn is wearing a white shirt.

Please ensure your answer is entered accurately. Double-check your work.

1. If Charles is wearing a red shirt and Ethan is not wearing a pink shirt then who cannot be adjacent to the person wearing pink shirt?
  • Officer wearing blue shirt
  • Ethan
  • Officer wearing green shirt
  • Officer wearing black shirt
From the given conditions, following two arrangements are possible: image In the above diagram, 'A' denotes Alwyn and 'E' denotes Ethan. From (iii), Charles cannot be between Alwyn and Ethan. So, Charles (wearing red shirt) is sitting on opposite side to that of Ethan. As E is not wearing a pink shirt, from (iv), it can be concluded that the officer wearing pink shirt must be between Alwyn (wearing white shirt) and Ethan. Hence, [4].

Please ensure your answer is entered accurately. Double-check your work.

2. If Bob is wearing pink shirt and Ethan is not wearing red shirt, then how many officers will be sitting between the officers wearing red and black shirts?
From the given conditions, following two arrangements are possible: image As Ethan is not wearing a red shirt, his neighbour must be wearing it (from iii). Thus, Ethan is between the officers wearing red and black shirts. Therefore, the required answer is 1.

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3. If the officer wearing black is on the immediate right side of Ethan then who is the person on immediate left of Ethan?
  • Officer wearing blue shirt
  • Officer wearing green shirt
  • Either Dwayne or Fredrick
  • Officer wearing either blue or green shirt
From the given conditions, following two arrangements are possible: image In the above diagram, 'A' denotes Alwyn and 'E' denotes Ethan. As Bob and Charles are always together. Officer between Alwyn and Ethan is either Dwayne or Fredrick. Hence, [3].

Please ensure your answer is entered accurately. Double-check your work.

4. Which of the following options is not possible?
  • Bob is wearing black shirt and Ethan is wearing pink shirt.
  • Bob is wearing green shirt and Charles is wearing blue shirt.
  • Dwayne is wearing black shirt and Fredrick is wearing green shirt.
  • Charles is wearing green shirt and Fredrick is wearing pink shirt.
From the given conditions, following two arrangements are possible: image In the above diagram, 'A' denotes Alwyn and 'E' denotes Ethan. Considering option [2], if Bob and Charles are wearing green and blue shirt, then officers wearing pink and red shirt will be adjacent on the side opposite to Bob and Charles. This will contradict condition (iv). Rest all combinations are possible. Hence, [2].