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  • The total number of 3 -digit numbers, whose greatest common divisor with 36 is 2 , isOption: 1 150Optio

The total number of 3 -digit numbers, whose greatest common divisor with 36 is 2 , is

Option: 1

150


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

36=2^{2} 3^{2}

Number should have prime factor 2 anly once \& it should not have 3 as factor
102,106,110, \ldots 98 \Rightarrow 225\; \text{numbers}
\text { Required numbers }=225-75 \text { (multiple of 3) }=150

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Pankaj

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