Find the smallest number which when divided by 15 leaves reminder 5 , when divided by 25 leaves remainder 15 when divided by 35 leaves remainder 35
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Solution : Option A
The LCM of the numbers 15 , 25 and 35 will be 75 *7 = 525
Now , number has a remainder of 25 when divided by 35 . Similarly , number has remainder 15 on dividing by 25 and remainder is 5 when divided by 15 . In each case, we are 10 short of getting a zero remainder . So the desired number must be 525 _ 10 = 515.
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