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Is X>Y? This is a "Yes" or "No" DS question
X + Y = 10
3X + 5Y = K
Y > 4.
If greater than 4, it APPEARS that Y would have to be 5, 6, 7, 8, 9, or 10. If that were the case, then X would APPEAR to be 5, 4, 3, 2, 1 or 0. In any case, this would APPEAR sufficient to answer "Is X > Y". Answer: No, since it appears X is either equal to or less than Y.
HOWEVER, statement 1 is insufficient because it does not account for partial numbers. What if Y is 4.5 and X is 5.5? Then yes, X is indeed greater than Y.
K < 40.
3X + 5Y < 40
combine with given X + Y = 10
substitute X = 10 - Y
Material A costs $3 per kilogram, and material B costs $5 per kilogram. If 10 kilograms of material K consists of x kilograms of material A and y kilograms of material B, is x >y?
(1) y > 4 (2) The cost of the 10 kilograms of material K is less than $40.
While I agree with x+y= 10 . But it says material consists of A and B which made me belief that that it may consist some other material also . So I started with x + y < 10 and was leading no where but E. Anyway if x+y = 10 , solution is pretty simple.