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Question

How many natural numbers between 1 and 900 are NOT multiples of any of the numbers 2, 3, or 5?

A
240
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B
250
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C
270
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D
300
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E
210
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Solution

The correct option is A 240

Note: This is based on the concept of Euler’s number

A number N can be written asambn. In this case,

The question can be rephrased as

The number of natural numbers which are less than 900 and relatively prime to it is


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