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    In an airline, hot drinks and iced tea were served to 120 passengers. 75 passengers enjoyed hot drinks and 62 enjoyed iced tea. If 40 enjoyed both, th
    Question

    In an airline, hot drinks and iced tea were served to 120 passengers. 75 passengers enjoyed hot drinks and 62 enjoyed iced tea. If 40 enjoyed both, then how many passengers enjoyed none of the beverages?

    A.

    15

    B.

    12

    C.

    23

    D.

    25

    Correct option is C

    Given:
    In an airline, hot drinks and iced tea were served to 120 passengers. 75 passengers enjoyed hot drinks and 62 enjoyed iced tea. If 40 enjoyed both.
    Solution:
    Total passengers = 120
    Total Passengers enjoy beverage = (Enjoyed hot drinks) + (Enjoyed iced tea) − (Enjoyed both)
    Total Passengers enjoy beverage = 75 + 62 - 40
    Total Passengers enjoy beverage = 97
    Passengers enjoyed none of the beverages = Total passengers − Total Passengers enjoy beverage
    Passengers enjoyed none of the beverages = 120 - 97 = 23
    23 passengers enjoyed none of the beverages.
    Thus, the correct answer is (c).
    Alternative Method:
    Total passengers = 120
    Only Hot drinks = 75 - 40 = 35
    Only Ice tea = 62 - 40 = 22
    Total beverage = 25 + 40 + 22 = 97
    None of the beverages =  120 - 97 = 23
    Thus, the correct answer is (c).

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