Hi,
I believe
it needs to be mentioned that x is positive, since x can be -55 also. This is demonstrated as follows:
When 55 is divided by 3x the remainder is 2x. What is the value of x?
(1) x is an odd integer
(2) x is a 2-digit integer
from the prompt, we have the general form wherein 55 = 3x*y + 2x (y signifies the particular multiple we take of 3x)
simplifying this, we derive x = 55/(3y + 2)
Now as per statement 2, if y can only be positive, then certainly x can only be 11. However, y can also be negative, in which case when y=-1, x = -55.
To verify that x = -55 is a valid answer, we can plug the same in the first equation derived from the prompt:
55 = 3x*y + 2x
plugging in x = -55 and y = -1 in RHS, we get : 3(-55)(-1) + 2(-55)
165 - 110
55
Therefore, I believe that if B is to be the answer, it must be specified that x is positive, or some other constrained must be mentioned such that we do not consider negative multiples of the divisor, 3x.
Bunuel VeritasKarishma mikemcgarryThanks