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DS: Numbers

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by psm12se » Sun Mar 03, 2013 6:51 am
If there are more than two numbers in a certain list, is each of the numbers in the list equal to 0?

1. The product of any two numbers in the list is equal to 0.
2. The sum of any two numbers in the list is equal to 0.
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Source: — Data Sufficiency |

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by Anurag@Gurome » Sun Mar 03, 2013 7:00 am
psm12se wrote:If there are more than two numbers in a certain list, is each of the numbers in the list equal to 0?

1. The product of any two numbers in the list is equal to 0.
2. The sum of any two numbers in the list is equal to 0.
Statement 1: Consider the following two lists...
  • {0, 0, 0} ---> All numbers are equal to zero
    {0, 0, 1} ---> All numbers are not equal to zero
Not sufficient

Statement 2: Let us take a general case for three numbers a, b, and c.
Hence, (a + b) = 0, (b + c) = 0, and (a + c) = 0
Solving the above three equations, a = b = c = 0, i.e. all numbers are equal to zero.
This can be extended for any number of numbers.

Sufficient

The correct answer is B.
Anurag Mairal, Ph.D., MBA
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