Question

what is the number of integers divisible between 312 and 595 that are divisible by 15 or 20 but not by 60

Answer 1

Given : integers divisible between 312 and 595 that are divisible by 15 or 20 but not by 60

To find : Numbers

Solution:

312 and 595

Divisible by 15

315 , 330 , ....................................., 585

15  ( 21 , 22 ,  ............................39)

Numbers = 19  

Divisible by 20

320 , 340 , ....................................., 580

20  ( 16 ,17 ,  ............................29)

Numbers = 14

LCM of 15 & 20  = 60

number divisible by 15 & 2 both has number divisible by 60

360 ,  420 .  480 , 540  

are 4 numbers divisible by 60

Divisible by 15 but not divisible by 60 = 19 - 4 = 15

Divisible by 20 but not divisible by 60 = 14 - 4 = 10

number of integers divisible between 312 and 595 that are divisible by 15 or 20 but not by 60

= 15 + 10

= 25

25 integers divisible between 312 and 595 that are divisible by 15 or 20 but not by 60

Learn more:

the sum of integers from 1 to 300 which is divisible by 2 or 5 ...

https://brainly.in/question/19264362

how many three digit numbers which are neither divisible by 4 nor 5 is

https://brainly.in/question/13181275