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      Question

      What is the minimum possible number of chocolates a boy

      can buy, if there must be atleast one chocolate of each kind? Quantity I. The shop has three different kinds of chocolates costing Rs.2, Rs.5, Rs. 10.  The boy spends total Rs. 120 on the chocolates. Quantity II. The shop has three different kinds of chocolates costing Rs.3, Rs.6, Rs. 11.  The boy spends total Rs. 145 on the chocolates. In each of the following questions, read the given statements and compare the two given quantities on it basis.  Give answer:
      A Quantity I > Quantity II Correct Answer Incorrect Answer
      B Quantity I ≥ Quantity II Correct Answer Incorrect Answer
      C Quantity I < Quantity II Correct Answer Incorrect Answer
      D Quantity I ≤Quantity II Correct Answer Incorrect Answer
      E Quantity I = Quantity II or No relation can be established Correct Answer Incorrect Answer

      Solution

      Quantity I. Minimum number of chocolates are possible when purchases maximum number of costliest chocolates. Rs 100 must be spent on 10 chocolates = 10 × 10, 2 chocolates @ Rs. 5 each = 2 × 5 = 10 and 5 chocolates @ Rs. 2 each = 2 × 5 = 10 Thus, minimum number of chocolates = 10 + 2 + 5 =17 Quantity II. Minimum number of chocolates are possible when purchases maximum number of costliest chocolates. Rs 121 must be spent on 11 chocolates = 11 × 11 =  121, 3 chocolates @ Rs. 6 each = 3 × 6 = 18 and 2 chocolates @ Rs. 3 each = 2 × 3 = 6 Thus, minimum number of chocolates = 11 + 3 + 2 =16 Hence Quantity I > Quantity II

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