Question stem, rephrased:
What is A� : A₂ : A₃?
Statement 1: A₂ = A₃
Thus, A₂ : A₃ = 1:1.
No information about A�.
INSUFFICIENT.
Statement 2: A₂ + A₃ = 2A�
Case 1: A�=2, A₂=1, A₃=3
In this case, A� : A₂ : A₃ = 2:1:3.
Case 2: A�=2, A₂=2, A₃=2
In this case, A� : A₂ : A₃ = 2:2:2 = 1:1:1.
Since A� : A₂ : A₃ can be different values, INSUFFICIENT.
Statements combined:
Substituting A₂ = A₃ into A₂ + A₃ = 2A�, we get:
A₂ + A₂ = 2A�
2A₂ = 2A�
A₂ = A�.
Since A� = A₂ and A₂ = A₃, A� = A₂ = A₃.
Thus:
A� : A₂ : A₃ = 1:1:1.
SUFFICIENT.
The correct answer is C.
Circle question from GMAT Prep
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I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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