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Difficulty:
35%
(medium)
Question Stats:
64% (01:14) correct
36%
(01:47)
wrong
based on 77
sessions
History
Date
Time
Result
Not Attempted Yet
If a, b, and c are positive numbers, what is the value of a + b + c ?
(1) \(a^2+b^2+c^2=56\)
(2) \(ab+bc+ca=10\)
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(1) \(a^2+b^2+c^2=56\)
(2) \(ab+bc+ca=10\)
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
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Bunuel
\((a + b +c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca\)
\((a + b +c)^2 = a^2 + b^2 + c^2 + 2(ab + bc + ca)\)
Statement 1
Statement 1 provides us the value of \(a^2+b^2+c^2\), however we also need the value of 2(ab + bc + ca). Therefore the statement is not sufficient.
Statement 2
Statement 2 provides us the value of (ab + bc + ca), however we also need the value of \(a^2+b^2+c^2\). Therefore the statement is not sufficient.
Combined
Combined, we have the values of \(a^2+b^2+c^2\) and (ab + bc + ca).
Hence the statements combined is sufficient.
Option C
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Power of Tiny Gains
1.01^(365) = 37.78
0.99^(365) = 0.03
Power of Tiny Gains
1.01^(365) = 37.78
0.99^(365) = 0.03
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