Question

cise 3.3
5. Which greatest 4-digit number is exactly divisible
by 25 ?
6. Find the largest 5-digit number exactly divisible by
36, 24, 18, 15 and 9.
7. Find the smallest 5-digit number which is exactly
divisible by 18, 24 and 32
32,3
8. Find the least number which is exactly divisible by
7, 15, 20, 42, 75 and 105.
9. There are three sections of class VI in a schoo
10 tudents in Section A 45 students​

Answer 1

Step-by-step explanation:

The greatest four digit number =9999

we can get the required number by following steps:

step 1 : Divide 9999 by LCM of 15,24 and 36 

Step 2 : Subtract result of step 1 from 9999.

Prime factorization :

15=3×5

24=23×3

36=22×32

LCM (15,24,36)= 23×32×5=360

Step 1 :  Dividing 9999 by 360, we get 279 as remainder.

Step 2 : subtract 279 from 9999

9999−279=9720 

the greatest number of four digit which is exactly divisible by 15,24 and 36 is 9720.