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      Question

      There are 500 students in a college. 45% of them are

      boys. Among the boys and girls, 35% and 50% respectively are interested in music. How many students are not interested in music?
      A 242 Correct Answer Incorrect Answer
      B 284 Correct Answer Incorrect Answer
      C 125 Correct Answer Incorrect Answer
      D 145 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Total number of boys = 500 Γ— 0.45 = 225

      Total number of girls = 500 - 225 = 275

      So, number of boys who do not like music = 225 Γ— 0.65 = 146.25 β‰ˆ 146

      So, number of girls who do not like music = 275 Γ— 0.5 = 137.5 β‰ˆ 138

      So, required number of students = 146 + 138 = 284

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