MHIKER
If x and y are integers, what is the value of x+y?
(1) 690 < x < y < 696
(2) 692 < x < y< 695
Target question: What is the value of x+y? Statement 1: 690 < x < y < 696 This inequality allows for several different pairs of values for x and y.
Consider these two possible cases:
Case a: x = 691 and y = 692. In this case, the answer to the target question is
x + y = 691 + 692 = 1383Case b: x = 691 and y = 693. In this case, the answer to the target question is
x + y = 691 + 693 = 1384Since we can’t answer the
target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: 692 < x < y< 695Since x and y are INTEGERS, the only values that satisfy the inequality are x = 693 and y = 694, which means the target question is
x + y = 693 + 694 = 1387Since we can answer the
target question with certainty, statement 2 is SUFFICIENT
Answer: B
Cheers,
Brent