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A man standing on a boat south of a lighthouse observes his shadow to be 24 meters long, as measured at sea level. On sailing 300 meters eastwards, he finds his shadow as 30 meters long, measured in a similar manner. The height of the man is 6 meters above sea level. The height of the lighthouse above sea level is:
  • XAT - 2011
  • XAT
  • Quantitative Ability and Data Interpretation
  • Trigonometry

From a group of 545 contenders, a party has to select a leader. Even after holding a series of meetings, the politicians and the general body failed to reach a consensus. It was then proposed that all 545 contenders be given a number from 1 to 545. Then they will be asked to stand on a podium in a circular arrangement, and counting would start from the contender numbered 1. The counting would be done in a clockwise fashion. The rule is that every alternate contender would be asked to step down as the counting continued, with the circle getting smaller and smaller, till only one person remains standing. Therefore the rst person to be eliminated would be the contender numbered 2. 

  • XAT - 2011
  • XAT
  • Quantitative Ability and Data Interpretation
  • Logical and Analytical Reasoning Skills
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