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

_________________

If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.

Many of life's failures happen with people who do not realize how close they were to success when they gave up.