Maths-
General
Easy

Question

A survey shows that 63% of the Americans like cheese whereas 76% like apples. If x% of the Americans like both cheese and apples, then

  1. x equals 39  
  2. x equals 63  
  3. 39 less or equal than x less or equal than 63  
  4. None of these  

The correct answer is: 39 less or equal than x less or equal than 63


    Given, n open parentheses C close parentheses equals 63 comma blank n open parentheses A close parentheses equals 76 and n open parentheses C intersection A close parentheses equals x
    We know that,
    n open parentheses C union A close parentheses equals n open parentheses C close parentheses plus n open parentheses A close parentheses minus n left parenthesis C intersection A right parenthesis
    rightwards double arrow blank 100 equals 63 plus 76 minus x rightwards double arrow x equals 139 minus 100 equals 39
    And n left parenthesis C intersection A right parenthesis less or equal than n left parenthesis C right parenthesis
    rightwards double arrow blank x less or equal than 63 blank
    therefore 39 less or equal than x less or equal than 63

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