In 467 * 381 replace * by which smallest digit to make it divisible by...
467 * 381
The sum of digits of the above number
= 4 + 6 + 7 + * + 3 + 8 + 1
= 10 + 7 + * + 3 + 8 + 1
= 29 + *
If, ∗ = 1, then, the sum of digits will become 30.
∴ required number = 1
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In 467 * 381 replace * by which smallest digit to make it divisible by...
Solution:
To make the given number divisible by 3, we need to find the smallest digit that can replace the "*" symbol in the multiplication.
Let's find the sum of the digits in the number 467 * 381:
4 + 6 + 7 + 3 + 8 + 1 = 29
To check if a number is divisible by 3, we need to check if the sum of its digits is divisible by 3.
In this case, the sum of the digits is 29, which is not divisible by 3.
To make it divisible by 3, we need to replace the "*" with a digit that will result in a sum of digits divisible by 3.
Let's try replacing the "*" with the smallest digit, which is 1:
467 * 381 = 4671
Now, let's find the sum of the digits in this new number:
4 + 6 + 7 + 1 = 18
The sum of the digits, 18, is divisible by 3.
Therefore, by replacing the "*" with 1, the resulting number, 4671, is divisible by 3.
Hence, option 'A' (1) is the correct answer.