Question 60

How many natural numbers less than 500, when divided by 35 and 49, will leave a remainder of 30 in each case?

Solution

LCM of 35 and 49 $$=7\times7\times 5 = 245$$

Therefore a number less than 500, that when divided by 35 and 49, will leave a remainder of 30 in each case is $$245+35 = 275$$

Option C is correct.

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