Problem Solving (PS) | Re: Fresh Meat!!!

8. The product of a positive integer x and 377,910 is divisible by 3,300, then the least value of x is:

A. 10
B. 11
C. 55
D. 110
E. 330

Solution -

Question can be re-written in simpler forms as - (x*377910)/3300
And what we have to check here is - Can 3300 fully divide the numerator ?

Upon further simplification, it becomes - (x*12597)/110

Now prime factorize the denominator - 2*5*11
None of these prime factors can further divide 12597. Therefore 12597 should be multiplied by 110 (i.e., x
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