Reasoning : Logical Reasoning & Analytical Ability

Q 203 / 325

UPSC CSE Prelims 2016

Six boxes A, B, C, D, E and F have been painted with six different colours viz., violet, indigo, blue, green, yellow and orange and arranged from left to right (not necessarily either kept or painted with the colours in the same order). Each box contains a ball of any one of the following six games: cricket, hockey, tennis, golf, football and volleyball (not necessarily in the same order). The golf ball is in violet box and is not in the box D. The box A which contains tennis ball is orange in colour and is at the extreme right. The hockey ball is neither in box D nor in box E. The box C having cricket ball is painted green. The hockey ball is neither in the box painted blue nor in the box painted yellow. The box C is fifth from right and next to box B. The box B contains volleyball. The box containing the hockey ball is between the boxes containing golf ball and volleyball.
Which one of the following boxes contains the golf ball?

EXPLANATION

Correct Option (2)

The box E contains the golf ball.

Based on the provided information, a systematic deduction of the box, colour, and game associations can be made:

  1. Box A, containing the tennis ball, is orange and is positioned at the extreme right (Position 6).
  2. Box C, containing the cricket ball, is green and is the fifth box from the right (Position 2).
  3. Box B contains the volleyball and is next to Box C. This places Box B at Position 3.
  4. The hockey ball is situated between the golf ball and the volleyball. Given Box B (volleyball) is at Position 3, the hockey ball must be at Position 4, and the golf ball at Position 5.
  5. The hockey ball is neither in box D nor in box E. Since the hockey ball is at Position 4, and the remaining boxes for this position are D, E, F, it implies Box F contains the hockey ball.
  6. The golf ball is not in box D. As the golf ball is at Position 5, and the remaining boxes are D and E, Box E must contain the golf ball.

Therefore, Box E contains the golf ball.

Incorrect Options:

Options 1 (F), 3 (D), and 4 (None of the above) are incorrect.

  • Box F contains the hockey ball, as deduced from the placement rules.
  • Box D is positioned at the extreme left (Position 1) and contains the football.
  • Since Box E is definitively identified as containing the golf ball, 'None of the above' is incorrect.
Explanation figure for the question: Six boxes A, B, C, D, E and F have been painted with six different colours viz., violet,…