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      Question

      Quantity I: A purse contains 4 one-rupee coins, 5

      two-rupees coins, and 3 five-rupees coins. The probability of picking two coins of the same denomination from the purse at random and without replacement is 'A'. Find the value of '99A + 1.5'. Quantity II: 7 employees convene at an office seminar, and each participant shakes hands with every other participant exactly once. Determine the total number of handshakes that occurred during the seminar. In the question, two quantities i.e. Quantity I and Quantity II are given. Solve the given quantities to establish the correct relation between them and choose the correct option.
      A Quantity I > Quantity II Correct Answer Incorrect Answer
      B Quantity I < Quantity II Correct Answer Incorrect Answer
      C Quantity II ≥ Quantity I Correct Answer Incorrect Answer
      D Quantity I ≥ Quantity II Correct Answer Incorrect Answer
      E Quantity I = Quantity II or relation is not established Correct Answer Incorrect Answer

      Solution

      ATQ, Quantity I A = (4C2 + 5C2 + 3C2)/12C2 = (6 + 10 + 3)/66 = (19/66) 99A + 1.5 = 99 × 19/6 + 1.5 = 28.5 + 1.5 = 30 Quantity II Number of Handshakes = 7C2 = 21 Hence, Quantity I > Quantity II 

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