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

$36=2\times 2\times 3\times 3$

Number should be odd multiple of 2 and does not having factor 3 and 9
Odd multiple of 2 are

102,106,110,114 …...998 ( 225 no.)

No. of multiples of 3 are

102,114,126 …...990 ( 75 no.)

Which are also included multiple of 9
Hence,

Required =225-75=150