srini123
thanks guys, can we solve with equations instead of picking numbers ?( I think it would take too much time to test by picking numbers and I wont be sure if I am picking good numbers to test out all possibilities).
Let me give it a try
Question asks us to check if x = ky where k is any integer (in other words x is multiple of y)
Statement 1:
3y^2 + 7y = x
y(3y +7) = x
3y+7 = x/y
. . .since y is an integer, therefore 3y + 7 would also be an integer. hence we can conlude that x is divisible by y, with divisor (3y + 7) which is an integer.
Statement 2:
X^2 - x is a multiple of y
x(x-1) is a multiple of y
so either x is multiple of y or (x-1) is a multiple of y. therefore it cannot be concluded for sure that x is a multiple of y. note: we know that y > 1; had it not been given then y could have been 1 and both x and (x-1) would have been divisible by 1
Therefore statement A alone is sufficient to answer this Yes / no question, with "Yes" as an answer
Answer : A