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Last Updated on May 6, 2023
GMAT OFFICIAL GUIDE DS
Solution:
We need to determine whether i + j is an even integer. Remember:
even + even = even
odd + odd = even
Thus, if we can determine that i and j are either both even or both odd, we will be able to answer the question.
Statement One Alone:
i < 10
Knowing that i is less than 10 is not enough to determine whether i + j is an even integer. Statement one alone is not sufficient to answer the question. We can eliminate answer choices A and D.
Statement Two Alone:
i = j
Since we know i = j, we know that i and j are both even or both odd. Following our addition rules for even and odd numbers, we see that i + j must be even.
Statement two alone is sufficient to answer the question.
Answer: B
