Re: If 3x(52) is divided by 35(53), the quotient terminates with
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10 Mar 2025, 09:13
3x(52)35(53), this quotient terminates , implies that x is an integer.
You know 2 or 5 or both 2 and 5, in the denominator always terminates. When a multiple of 3 is divided by 3, then the quotient is never terminated.
So, as long as 35 is active in the denominator, the quotient won't terminate. We need to cancel out 35 in the denominator in order to get a terminating decimal of the quotient.
So, x=5 satisfies the condition. however, we need to find out the MUST BE TRUE condition, which is true at all points of the condition rather than at a single point.
So, x≥5
Ans. (D)