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If the number 517*324 is completely divisible by 3, then the smallest whole number in the place of * will be:
- a)0
- b)1
- c)2
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
If the number 517*324 is completely divisible by 3, then the smallest ...
Sum of digits = (5 + 1 + 7 + x + 3 + 2 + 4) = (22 + x), which must be divisible by 3.
x = 2.
Most Upvoted Answer
If the number 517*324 is completely divisible by 3, then the smallest ...
To determine the smallest whole number in the place of *, we need to find the remainder when 517*324 is divided by 3.
To check if a number is divisible by 3, we can use the divisibility rule which states that if the sum of the digits of a number is divisible by 3, then the number itself is divisible by 3.
Let's calculate the sum of the digits of 517:
5 + 1 + 7 = 13
Since 13 is not divisible by 3, the number 517 is not divisible by 3.
Now, let's calculate the sum of the digits of 324:
3 + 2 + 4 = 9
Since 9 is divisible by 3, the number 324 is divisible by 3.
Now, let's calculate the sum of the digits of 517*324:
5 + 1 + 7 + 3 + 2 + 4 = 22
Since 22 is not divisible by 3, the number 517*324 is not divisible by 3.
Therefore, there is no whole number that can be placed in the * to make 517*324 divisible by 3.
Hence, the correct answer is option 'D' (None of these).
To check if a number is divisible by 3, we can use the divisibility rule which states that if the sum of the digits of a number is divisible by 3, then the number itself is divisible by 3.
Let's calculate the sum of the digits of 517:
5 + 1 + 7 = 13
Since 13 is not divisible by 3, the number 517 is not divisible by 3.
Now, let's calculate the sum of the digits of 324:
3 + 2 + 4 = 9
Since 9 is divisible by 3, the number 324 is divisible by 3.
Now, let's calculate the sum of the digits of 517*324:
5 + 1 + 7 + 3 + 2 + 4 = 22
Since 22 is not divisible by 3, the number 517*324 is not divisible by 3.
Therefore, there is no whole number that can be placed in the * to make 517*324 divisible by 3.
Hence, the correct answer is option 'D' (None of these).
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If the number 517*324 is completely divisible by 3, then the smallest whole number in the place of * will be:a)0b)1c)2d)None of theseCorrect answer is option 'C'. Can you explain this answer?
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