An 8-digit number 4252746B leaves remainder 0 when divided by 3. Find the value of B ?
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Answers
Answer:
B= 0, 3, 6, 9
Step-by-step explanation:
If a number leaves remainder 0 when divided by 3 , the sum of the digits will leave remainder 0 also.
for this, 4+2+5+2+7+4+6+B =30+B leaves remainder 0 too.
here the remainder is (30+B) % 3 = B (% is the sign of remainder)
Now B will be divisible by 3.
B =3×0=0
=3×1= 3
=3×2= 6
=3×3= 9
=3×4 = 12 (not acceptable)
B= 0, 3, 6, 9
★FIND:
The values of B are possible ?
★Given,
An 8-digit number 4252746B leaves remainder 0 when divided by 3.
★SOLUTION:
☞By property of divisibility of 3,
☞The sum of the number is divisible by 3.
☞An 8-digit number 4252746B leaves remainder 0 when divided by 3.
☞So, 4+2+5+2+7+4+6+B is divisible by 3.
➯i.e. 30+B is divisible by 3.
➯Then accordingly B can be 3,6 or 9
⛬ The possible values of B are 3.