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Question

A box has tokens numbered 3 to 100. If a token is taken out at random the chance that the number is divisible by 7 is

A
14
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B
15
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C
16
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D
17
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Solution

The correct option is B 17
The tokens are numbered from 3 to 100
There are 98 numbers from 3 to 100

In this range the numbers divisible by 7 are 7,14,21,28,35,42,49,56,63,70,77,84,91 and 98
The number of numbers divisible by 7 is 14

P(number divisible by 7)=1498=17

Hence, the required probability is 17

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