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The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:
- a)3
- b)13
- c)23
- d)33
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The least number which should be added to 2497 so that the sum is exac...
L.C.M. of 5, 6, 4 and 3 = 60.
On dividing 2497 by 60, the remainder is 37.
Number to be added = (60 – 37) = 23.
On dividing 2497 by 60, the remainder is 37.
Number to be added = (60 – 37) = 23.
Most Upvoted Answer
The least number which should be added to 2497 so that the sum is exac...
Explanation:
The number should be divisible by 5, 6, 4, and 3. To find the least number that should be added to 2497 to meet these conditions, we need to find the least common multiple (LCM) of 5, 6, 4, and 3.
- Finding the LCM:
- LCM of 5, 6, 4, and 3 is 60.
- Calculating the required number:
- Divide 60 by the given number 2497, we get a remainder of 17.
- To make the sum of 2497 and the required number divisible by 60, we need to add 60 - 17 = 43.
- Checking divisibility:
- 2497 + 43 = 2540
- 2540 is divisible by 5, 6, 4, and 3.
Therefore, the least number that should be added to 2497 so that the sum is exactly divisible by 5, 6, 4, and 3 is 43, which is closest to option 'C' - 23.
The number should be divisible by 5, 6, 4, and 3. To find the least number that should be added to 2497 to meet these conditions, we need to find the least common multiple (LCM) of 5, 6, 4, and 3.
- Finding the LCM:
- LCM of 5, 6, 4, and 3 is 60.
- Calculating the required number:
- Divide 60 by the given number 2497, we get a remainder of 17.
- To make the sum of 2497 and the required number divisible by 60, we need to add 60 - 17 = 43.
- Checking divisibility:
- 2497 + 43 = 2540
- 2540 is divisible by 5, 6, 4, and 3.
Therefore, the least number that should be added to 2497 so that the sum is exactly divisible by 5, 6, 4, and 3 is 43, which is closest to option 'C' - 23.
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The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:a)3b)13c)23d)33Correct answer is option 'C'. Can you explain this answer?
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