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Which of the following is the smallest whole number if the number 418 * 342 is completely divisible by 3?
- a)0
- b)1
- c)2
- d)3
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Which of the following is the smallest whole number if the number 418 ...
Sum of digits = (4 + 1 + 8 + x + 3 + 4 + 2) =
(22 + x), which must be divisible by 3.
∴ x = 2
(22 + x), which must be divisible by 3.
∴ x = 2
Most Upvoted Answer
Which of the following is the smallest whole number if the number 418 ...
If the sum of all the digits of a number is divisble by 3 , then number is divisible by 3.
2 must fit the * place of to fullfill the crieteria of divisibilty by 3.
2 must fit the * place of to fullfill the crieteria of divisibilty by 3.
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Community Answer
Which of the following is the smallest whole number if the number 418 ...
To determine the smallest whole number that makes the product 418 * 342 completely divisible by 3, we need to find the remainder when this product is divided by 3. If the remainder is 0, then the product is divisible by 3.
To find the remainder, we can use the rule that states the remainder of a product is equal to the remainder of the individual factors when divided by the divisor.
In this case, we can find the remainders of 418 and 342 when divided by 3:
418 ÷ 3 = 139 with a remainder of 1
342 ÷ 3 = 114 with a remainder of 0
Now, we can find the remainder of the product by multiplying the remainders:
(1 * 0) ÷ 3 = 0 ÷ 3 = 0
Since the remainder is 0, we can conclude that the product 418 * 342 is completely divisible by 3.
Therefore, the smallest whole number that satisfies this condition is 0, which corresponds to option 'a'.
To find the remainder, we can use the rule that states the remainder of a product is equal to the remainder of the individual factors when divided by the divisor.
In this case, we can find the remainders of 418 and 342 when divided by 3:
418 ÷ 3 = 139 with a remainder of 1
342 ÷ 3 = 114 with a remainder of 0
Now, we can find the remainder of the product by multiplying the remainders:
(1 * 0) ÷ 3 = 0 ÷ 3 = 0
Since the remainder is 0, we can conclude that the product 418 * 342 is completely divisible by 3.
Therefore, the smallest whole number that satisfies this condition is 0, which corresponds to option 'a'.
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Which of the following is the smallest whole number if the number 418 * 342 is completely divisible by 3?a)0b)1c)2d)3Correct answer is option 'C'. Can you explain this answer?
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