Last Updated on May 9, 2023
GMAT OFFICIAL GUIDE DS
Solution:
We are given a diagram of a number line with a number of evenly spaced tick marks. We can represent the distance between each tick mark as n. Let’s sketch the diagram.
Statement One Alone:
x = 1/2
Using our diagram we can see that:
0 + n + n + n = x
0 + 3n = x
3n = ½
n = 1/6
Since we know that the spacing between each tick mark is 1/6, we can determine the value of y. Statement one alone is sufficient to answer the question. We can eliminate answer choices B, C, and E.
Statement Two Alone:
y – x = 2/3
Using our diagram we can see that:
y – x = 4n
2/3 = 4n
(2/3)/4 = n
1/6 = n
Since we know that the spacing between each tick mark is 1/6, we can determine the value of y. Statement two is also sufficient to answer the question.
Answer: D
