The number of positive integers not greater than 100, which are not divisible
by 2, 3 or 5 is
(a) 24
(b) 26
(c) 29
(d) None of these
We can find the numbers that are divisble by 2,3 and 5 then we can subtract from total numbers to get the numbers that are not divisible.
No. divisible by 2 ---50
No. divisible by 5 ---20
This includes 10 numbers divisible by 2,hence we need to subtract them as they already included.
No. divisible by 3 ---33
This includes 13 numbers divisible by 2 and 6 numbers divisible by 5,hence we need to subtract them as they already included.
Then the total Nos. = 50+10+14 = 74
No. not divisible by 2, 3 or 5 is 100 – 74 = 26
