GMAT Math : Geometry

Study concepts, example questions & explanations for GMAT Math

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Example Questions

Example Question #4 : Dsq: Calculating The Midpoint Of A Line Segment

Find the midpoint of segment  given that point  is at .

I) The  coordinate of  is twice that of , and the  coordinate of  is  that of .

II)  is  units long.

 

Possible Answers:

Neither statement is sufficient to answer the question. More information is needed.

Either statement alone is sufficient to answer the question.

Both statements together are needed to answer the question.

Statement I is sufficient to answer the question, but Statement II is not sufficient to answer the question.

Statement II is sufficient to answer the question, but Statement I is not sufficient to answer the question.

Correct answer:

Statement I is sufficient to answer the question, but Statement II is not sufficient to answer the question.

Explanation:

To find the midpoint, we need to know both endpoints.

I) Gives us the means to find out other endpoint.

II) Gives us the length of PS, but we are not given any hint as to its orientation.Thus, we cannot find the other endpoint and we cannot find the midpoint.

Thus, Statement I alone is sufficient to answer the question.

Example Question #5 : Dsq: Calculating The Midpoint Of A Line Segment

Find the midpoint of segment .

I) Endpoint  has coordinates of .

II) Endpoint   coordinate is half of , and   coordinate is one sixteenth of   coordinate.

Possible Answers:

Either statement is sufficient to answer the question.

Statement II is sufficient to answer the question, but statement I is not sufficient to answer the question.

Statement I is sufficient to answer the question, but statement II is not sufficient to answer the question.

Both statements are needed to answer the question.

Neither statement is sufficient to answer the question. More information is needed.

Correct answer:

Both statements are needed to answer the question.

Explanation:

To find the midpoint of a segment we need both endpoints

I) Gives us one endpoint.

II) Gives us clues to find the other endpoint. 

 has coordinates of 

Use midpoint formula

 

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