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Question

The average age of 18 patients in a hospital ward was 71. One patient was discharged and a new patient got admitted and as a result the average became 69.5. What is the age of the new patient, if the age of the patient who was discharged is 73?

A
64
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B
68
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C
46
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D
55
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Solution

The correct option is C 46
Initially the sum of ages of all inmates were =18×71=1278
Let the age of the patient who joined be = x
127873+x18=69.5
So, x=(18\times 69.5)+73-1278=46

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