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Value of x+y+z (GMAT Prep 1)

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Source: — Data Sufficiency |

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by Anurag@Gurome » Sun Jul 15, 2012 12:42 am
alex.gellatly wrote:If x, y, and z are integers greater than 1, what is the value of x+y+z?

1. xyz = 70
2. x/yz = 7/10
Statement 1: 70 = 2*5*7
Hence, 70 can be expressed as the product of three positive integers greater than 1 in only one way, i.e. 2*3*5

Therefore, (x + y + z) will always be equal to (2 + 5 + 7) = 14

Sufficient

Statement 2: 10x = 7yz
This means x must be a multiple of 7 and yz must be multiple of 10.
Consider the following cases,
  • x = 7, y = 2, z = 5 --> (x + y + z) = 14
    x = 14, y = 2, z = 10 --> (x + y + z) = 26
Not sufficient

The correct answer is A.
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by abhinav11 » Sun Jul 15, 2012 1:43 am
Is t he answer A?
alex.gellatly wrote:If x, y, and z are integers greater than 1, what is the value of x+y+z?

1. xyz = 70
2. x/yz = 7/10

Thanks
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