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7/28/2019 Quantitative Comparison
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QUANTITATIVE COMPARISON
The quantitative reasoning section in GRE General Test is further sub-divided into problem solving,
quantitative comparison and data analysis. P roblem solving focuses on the evaluation of quantitative aptitude
while quantitative comparison and data analysis focus on the analytical and logical application of the concepts
in mathematics.
Quant comparison is the most interesting and possibly the highest scoring section in the GRE quant section.
At the outset, QC questions look very simple and tempting but they prove to be much trickier when attempted.
One needs to have sound knowledge of numbers and other mathematical concepts. Experts at TCY
summarize the following strategies required for tackling GRE's quantitative comparison section:
Strategies:
It is very important not to assume anything. Restricting yourself to the given hypothesis is a sure-shot way
of avoiding the trap in the question. The focus should be on comparison rather than doing big calculations.
The answer format is a standard one (you may observe it in the practice questions below) and knowing it
well saves time in the actual examination.
The questions in this section are characterized by obvious mathematical traps; hence it is a good idea
to re-check and confirm the answer before you register your answer during the test.
In Problem Solving, never make a comparison by visual estimation or measurement. Instead, make your
comparison based on your knowledge of mathematics, along with non-graphical data provided in the
question.
Directions: The following directions will appear on your screenjust before your first Quantitative
Comparison question (and you can access them while tackling any Quantitative Comparison question by
clicking on the HELP button).
Directions: Each question of this type consists of two quantities, one in Column A and one in Column B.
Compare the two quantities and indicates:
if the quantity in Column A is greater,
if the quantity in Column B is greater,
if the quantities are equal,
If the relationship cannot be determined from the information given.
In some questions, additional information related to one or both of the quantities, which are to be compared is
centered above the two columns.
Any symbol appearing in both the columns represents the same thing in one column as in the other.
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All numbers used are real numbers.
To review these directions for subsequent questions of this type, click on HELP.
Sample Questions:
1.
Column A Column B
Greatest 4 digit multiple of 5 Greatest 4 digit multiple of 7
Sol. Column A is 9995.
Column B is 9996.
Column B >Column A. Answer: (B)
2. (a2
+b2) : (a
2 b
2) =5 : 4.
Column A Column B
b
a
2
Sol.22
22
ba
ba
+=
4
5
4a2
+4b2=5a
2 5b
2
a2
=9b2
ba =3.Answer: (A)
3. If 1 < x 2.
So, in the interval 1
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Sol. Assume the 2 men as one group.
So, 8 men and 1 group.
Column A =(9 1)! 2! =8! 2!
Column B =(8 1)!8P2 = 7! 3 7
Column B >Column A. Answer: (B)
5.
Column A Column B
Sum of all the two digit numbers
ending with 4 or 6
Sum of all the two digit numbers
ending with 3 or 7
Sol. Col A =(14 + 24 +-----+94) +(16 +26 +----+96)
Col B =(13 + 23 +------+93) +(17+27 +-----+97)
Both are equal Answer: (C)
6.
Column A Column B
In the above figure,PRT is right angle. Such that PR =RT =12 cm, PQ =15
cm and ST = 13 cm.
Ratio of ar(PQR) and ar(SRT) 2
Sol. InPQR, R =90o x2 +122 =152
x2= 225 144 = 81
x =9
and InRST, R =90o
y2+ 12
2=13
2 y
2=169 144
y2= 25 y =5
)SRT(ar
)PQR(ar
=
30
54=
5
9
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7.
Column A Column B
Mean of days/month in year 2007. Median of the days in each month in
2005.
Sol. Number of days in 2007 =365 (2007 was not aleap year)
Column A: Mean days/month =12
365=30.41
Median =2
1(days in 6
thand 7
thmonth)
=2
1(30 +31) =30.5 >Column A Answer: (B)
8.
Column A Column B
In a circle with O as the centre, the measure of Arc AB is 100o.
APB 450
Sol. Angle of arc at centre =2 (angle mode in remaining part of circle)
AOB =2(APB) APB =2
1 100
o= 50
o
Column A >Column B Answer: (A)
A B
P
. O
A B
P
100o
O