Question : The least number that should be added to 35460 so that the sum is exactly divisible by 3, 4, 5, and 7 is:
Option 1: 84
Option 2: 420
Option 3: 240
Option 4: 180
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Correct Answer: 240
Solution :
LCM of 3, 4, 5, and 7 is 420.
For a number to be divisible by 2, 4, 5, and 7, the number should be divisible by 420.
Now, on dividing 35460 by 420, we get 180 as the remainder.
So, the required number should be added to get the next multiple of 420 = 420 – 180 = 240
Hence, the correct answer is 240.
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