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21%
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If the sum of five integers is 875, what is the product of these integers?
(1) The integers are consecutive.
(2) All the integers are positive.
M10-03
(1) The integers are consecutive.
(2) All the integers are positive.
M10-03
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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
19 Jun 2014, 13:42
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If the sum of five integers is 875, what is the product of these integers?
(1) The integers are consecutive.
Express the sum of these integers as: \((x-2)+(x-1)+x+(x+1)+(x+2)=875\). This equation simplifies to \(5x=875\). From this, we can determine the value of \(x\), and therefore get all five integers as well as their product. Sufficient.
Alternatively, it can be observed that there is only one set of five consecutive integers that sum to 875. Thus, the sequence is uniquely determined, and each term can be identified.
(2) All the integers are positive.
Clearly insufficient.
Answer: A
(1) The integers are consecutive.
Express the sum of these integers as: \((x-2)+(x-1)+x+(x+1)+(x+2)=875\). This equation simplifies to \(5x=875\). From this, we can determine the value of \(x\), and therefore get all five integers as well as their product. Sufficient.
Alternatively, it can be observed that there is only one set of five consecutive integers that sum to 875. Thus, the sequence is uniquely determined, and each term can be identified.
(2) All the integers are positive.
Clearly insufficient.
Answer: A
19 Jun 2014, 14:09
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HI
For St A:
We could have the numbers as: (x)+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)=875 or (x-2)+(x-1)+x+(x+1)+(x+2)=875. In either case, the value of X will be different.
For St B:
Not Suff
A+B: Not Suff
Thus, IMO the answer should be E
For St A:
We could have the numbers as: (x)+(x+1)+(x+2)+(x+3)+(x+4)+(x+5)=875 or (x-2)+(x-1)+x+(x+1)+(x+2)=875. In either case, the value of X will be different.
For St B:
Not Suff
A+B: Not Suff
Thus, IMO the answer should be E
