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GMAT - SAMPLE QUESTIONPAPER
Quantitative Reasoning – 31 Questions
,Question No.1:
What is the area of the circle shown above with center O?
I. W is the mid-point of chord XY.
II. The ratio of ZW to OW is 3:5
A. Statement I alone is sufficient but statement II alone is not sufficient to answer the question
asked.
B. Statement II alone is sufficient but statement I alone is not sufficient to answer the question
asked.
C. Both statements I and II together are sufficient to answer the question but neither statement is
sufficient alone.
D. Each statement alone is sufficient to answer the question.
E. Statements I and II are not sufficient to answer the question asked and additional data is
needed to answer the statements.
Answer: E
Explanation:
In the diagram,
OZ is the radius(r) of the circle and XY is the chord of the circle.
Rule/Concept:
Relation between radius and chord:
● If a radius is perpendicular to a chord, then it bisects the chord.
● If a radius bisects a chord (that isn’t a diameter), then it’s perpendicular to the chord.
,Question: Area of the circle?
2
We need to find the value of the radius(r), as Area of the circle = π * 𝑟
Actual Question: Value of “r” or value of OZ?
Statement I is insufficient:
W is the mid-point of chord XY.
Since “W” is the midpoint, we know that, OZ passes through the circle and based on the above
rule, OZ is perpendicular to XY.
But still no information on length of chord or radius.
So not sufficient.
Eliminate answer choices A and D. Answers could be either B, C or E.
Statement II is insufficient:
The ratio of ZW to OW is 3:5
Length of OZ = length of ZW + length of OW
Let the length of ZW and OW be 3x and 5x respectively, then
We know only length of the radius (OZ)= 8x units.
But still, we don’t the exactly value of radius, as we know only its ratio.
Radius could be 8, 16… or anything.
So, this is not sufficient. Eliminate answer choice B.
Together still it is not sufficient.
As, statement I only talks about the relation between chord and radius. Now along with the
statement II, we can find the chord length ratio.
, But we need to know the radius length to find the area.
So, together also it is not sufficient.
Hence the answer is E.
Question No.2:
4 4
If 𝐴 + 𝐵 = 100, then the greatest possible value of “A” lies between
A. 0 and 3
B. 3 and 6
C. 6 and 9
D. 9 and 12
E. 12 and 15
Answer: B
Explanation:
Rule/Concept:
To maximize one quantity, minimize the other quantities in the expression.
Similarly, to minimize one quantity, maximize the other quantities in the expression.
4
Here we have to maximize “𝐴" then we should minimize 𝐵 .
4
Least value 𝐵 can take is zero. Because anything raise to an even power cannot be negative. So,
least value it could take is zero.
4
So, if 𝐴 + 0 = 100
4 4
Then, 𝐴 = 100 and 𝐴 = 100
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