Bunuel wrote:
If \(x\) is a positive integer and 123 divided by \(x\) leaves a remainder of 3, what is the value of \(x\)?
(1) The remainder when 60 is divided by \(x\) is more than or equal to 60.
(2) \(x\) is a multiple of 60
Given x +ive Integer
123/x gives Remainder =3
x can be any of these values 6,40,60,120
Statement 1
Remainder when 60/x is > or = 60
This is only possible when x =120, because if you take other values from the sample set,
60/40, Remainder = 20
60/6, Remainder= 0
60/60, Remainder= 0
60/120, Remainder= 60
Statement 2
x can be 60,120,240
Will give 2 values for x, 60 and 120.
Only Statement 1 is sufficient for answering the question
Answer A
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