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Question

An integer is chosen at random from the first 200 positive integers. The probability that the integer chosen is divisible by 6 or 8 is

A
14
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B
23
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C
15
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D
0
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Solution

The correct option is B 14
The number of numbers which are divisible by 6 which are less than 200 is 33.
The number of numbers which are divisible by 8 which are less than 200 is 25.
The number of numbers which are divisible by both 6 and 8 which are less than 200 is 8.
Therefore the number of numbers which are divisible by 6 or 8 is 33+258=50.
The probability is 50200=14.
The correct option is A.

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