Anaira Mitch wrote:GMATGuruNY wrote:Statement 2: (1+r/100)^2 > 1.15
Plug in r=8.
(1 + 8/100)² > 115/100
(108/100)² > 115/100
(108*108)/(100*100) > 115/100
(108*108)/100 > 115
Ballpark the left side:
(11,600)/100 > 115
116 > 115.
Since r=8 works, we know that r>8 also works.
Insufficient.
The correct answer is A.
Hello Mitch,
Your solution is perfect but I am confused why this statement is insufficient as you have mentioned
"Since r=8 works, we know that r>8 also works."
Please help me understand.
Thanks in advance.
My solution in blue implies the following:
If r=8, then (1+r/100)² ≈ 1.16.
Question stem:
Is r > 8?
Statement 2: (1+r/100)² > 1.15
Case 1: r=8, with the result that (1+r/100)² ≈ 1.16.
In this case, the answer to the question stem is NO.
Case 2: r=9, with the result that (1+r/100)² > 1.16.
In this case, the answer to the question stem is YES.
Since the answer is NO in Case 1 but YES in Case 2, INSUFFICIENT.
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