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DS - exponents

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by karthikpandian19 » Tue Jul 03, 2012 3:58 am
If a and b are different integers, does a = 0?

a^3 = (a^2)b
b = 7
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Source: — Data Sufficiency |

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by Anurag@Gurome » Tue Jul 03, 2012 4:03 am
karthikpandian19 wrote:If a and b are different integers, does a = 0?

a^3 = (a^2)b
b = 7
Statement 1: a³ = a²b
So, (a³ - a²b) = 0
--> a²(a - b) = 0
--> Either a² = 0 OR a = b

As a and b are different integers, a cannot be equal to b.
Hence, a² = 0 --> a = 0

Sufficient

Statement 2: Only thing we know is a not equal to 7.

Not sufficient

The correct answer is A.
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