Question

Check the divisibility of :
a.42,96,285 by 9
b.75,96,384 by 3
c. Which numbers are divisible by 5 ,by 10 and by both.​

Answer 1

Question given:-

To check the divisibility of:

1. 42,96,285 by 9
2. 75,96,384 by 3
3. Which numbers are divisible by 5,by 10 and by both the numbers.

Solution:

a. To check the divisibility follow the steps:-

i)Add the digits(4296285)

⟹4+2+9+6+2+8+5

⟹36

ii)Now divide the obtained number by 9

⟹36÷9

⟹4

Therefore,42,96,285 is divisible by 9.

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b. To check the divisibility follow the steps:-

i) Add the digits (7596384)

⟹7+5+9+6+3+8+4

⟹42

ii)Now divide the obtained number by 3

⟹42÷3

⟹14

Therefore, 75,96,384 is divisible by 3.

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c.Ans.

⟾In the number 42,96,285; in the units digits it is 5, Hence the number is divisible by 5.

⟾But the units digits doesn't contain 0, therefore ,the number is not divisible by 10

⟾In the number 74,96,384; the unit digit contain 0, thus 74,96,384 is divisible by both 5 and 10.

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Hope it's helpful !