Question icon
8 grade maths

Which one of the following is divisible by 3?(A) 27326(B) 42356(C) 73545(D) 45326

Profile image of Aniket Singh
1 Year agoGrade
Answers icon

1 Answer

Profile image of Askiitians Tutor Team
1 Year ago

To determine which number is divisible by 3, we use the rule of divisibility for 3: A number is divisible by 3 if the sum of its digits is divisible by 3.

Step-by-step solution:

Check 27326:

Sum of digits = 2 + 7 + 3 + 2 + 6 = 20.
20 is not divisible by 3.
Therefore, 27326 is not divisible by 3.
Check 42356:

Sum of digits = 4 + 2 + 3 + 5 + 6 = 20.
20 is not divisible by 3.
Therefore, 42356 is not divisible by 3.
Check 73545:

Sum of digits = 7 + 3 + 5 + 4 + 5 = 24.
24 is divisible by 3 (since 24 ÷ 3 = 8, an integer).
Therefore, 73545 is divisible by 3.
Check 45326:

Sum of digits = 4 + 5 + 3 + 2 + 6 = 20.
20 is not divisible by 3.
Therefore, 45326 is not divisible by 3.
Conclusion: The number 73545 is divisible by 3.