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Find the least number which should be added to 2430 so that the sum is exactly divisible by 5, 4 and 2
- a)3
- b)10
- c)13
- d)33
- e)23
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Find the least number which should be added to 2430 so that the sum is...
L.C.M of 5, 4, and 2 = 20. On dividing 2430 by 20, the remainder is 10.
Therefore, number to be added = (20 - 10) = 10
Therefore, number to be added = (20 - 10) = 10
Most Upvoted Answer
Find the least number which should be added to 2430 so that the sum is...
Problem: Find the least number which should be added to 2430 so that the sum is exactly divisible by 5, 4 and 2.
Solution:
The given number is 2430.
We need to find the least number that should be added to 2430 to make it divisible by 5, 4, and 2.
To make a number divisible by 5, the number should end with 0 or 5.
To make a number divisible by 4, the last two digits of the number should be divisible by 4.
To make a number divisible by 2, the number should be even.
Let's check the divisibility of 2430 by 5, 4, and 2.
The last digit of the number is 0, so it is divisible by 5.
The last two digits of the number are 30, which is divisible by 4.
The number is even as the last digit is 0.
Therefore, the given number is divisible by 5, 4, and 2.
To make it divisible by 5, 4, and 2, we need to find the least number that can be added to it to make it divisible by 5.
The least number that can be added to 2430 to make it divisible by 5 is 10.
To make it divisible by 4, the least number that can be added is 0.
To make it divisible by 2, the least number that can be added is 0.
Therefore, the least number that should be added to 2430 to make it divisible by 5, 4, and 2 is 10.
Hence, the correct answer is option B) 10.
Solution:
The given number is 2430.
We need to find the least number that should be added to 2430 to make it divisible by 5, 4, and 2.
To make a number divisible by 5, the number should end with 0 or 5.
To make a number divisible by 4, the last two digits of the number should be divisible by 4.
To make a number divisible by 2, the number should be even.
Let's check the divisibility of 2430 by 5, 4, and 2.
The last digit of the number is 0, so it is divisible by 5.
The last two digits of the number are 30, which is divisible by 4.
The number is even as the last digit is 0.
Therefore, the given number is divisible by 5, 4, and 2.
To make it divisible by 5, 4, and 2, we need to find the least number that can be added to it to make it divisible by 5.
The least number that can be added to 2430 to make it divisible by 5 is 10.
To make it divisible by 4, the least number that can be added is 0.
To make it divisible by 2, the least number that can be added is 0.
Therefore, the least number that should be added to 2430 to make it divisible by 5, 4, and 2 is 10.
Hence, the correct answer is option B) 10.
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