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Quantitative Comparison Questions
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GRE Quantitative Comparison Questions Directory by Topic & Difficulty
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The 100 Hardest Quantitative Comparison Questions for the GRE Exam
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Geometry
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7
(\sqrt25/\sqrt10)
Tags:
Difficulty: Hard
,
Exponents/Roots
,
Fractions/Ratios/Decimals
,
Source: MGRE
Carcass
2
3001
by:
HarishKumar
08 Mar 2024, 08:56
4
\frac{\frac{[square_root]10[/square_root]}{[square_root]8[/s
Tags:
Difficulty: Hard
,
Exponents/Roots
,
Fractions/Ratios/Decimals
,
Source: MGRE
Carcass
3
2919
by:
bumpbot
10 Jul 2023, 01:03
1
x < 0
Tags:
Difficulty: Hard
,
Exponents/Roots
,
Source: MGRE
Carcass
3
2916
by:
Salsanousi
19 Nov 2018, 16:47
11
1/0.001<(1/10)^n-4
Tags:
Difficulty: Hard
,
Absolute Values/Modules
,
Exponents/Roots
,
Inequalities
,
Numbers Properties
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Source: MGRE
Carcass
5
2812
by:
bumpbot
12 Nov 2021, 07:16
5
x and y are both integers
Tags:
Difficulty: Hard
,
Difficulty: Medium
,
Exponents/Roots
,
Numbers Properties
,
Source: The Princeton Review
Carcass
5
2802
by:
bumpbot
16 May 2023, 16:39
30
2^x + 2^y = x^2 + y^2, where x and y are non-negative integers.
Tags:
Difficulty: Hard
,
Absolute Values/Modules
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Algebra
,
Exponents/Roots
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Source: Others, Please Specify
KarunMendiratta
4
2614
by:
bumpbot
28 Oct 2023, 10:34
1
((2^4)^6)^8
Tags:
Difficulty: Hard
,
Exponents/Roots
,
Source: MGRE
Carcass
2
2612
by:
GreenlightTestPrep
21 May 2020, 05:26
4
b>1
Tags:
Difficulty: Hard
,
Algebra
,
Exponents/Roots
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Fractions/Ratios/Decimals
,
Numbers Properties
,
Source: Kaplan
Carcass
4
2559
by:
bumpbot
25 Apr 2024, 23:28
3
0.3^20 or 0.03^50
Tags:
Difficulty: Hard
,
Difficulty: Medium
,
Exponents/Roots
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Source: Others, Please Specify
saifee
2
2384
by:
GreenlightTestPrep
13 Sep 2018, 07:44
5
3^{40} + 3^{40} + +3^{40} vs 6^{40}
Tags:
Difficulty: Hard
,
Exponents/Roots
,
Source: Greenlight Test Prep
GreenlightTestPrep
3
2365
by:
bumpbot
18 Apr 2022, 10:40
10^-4*10^3 or 10^-12
Tags:
Difficulty: Hard
,
Difficulty: Medium
,
Exponents/Roots
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Source: Kaplan
Carcass
1
2297
by:
GreenlightTestPrep
20 Mar 2020, 06:17
7
a, b, and c are integers greater than 1
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Difficulty: Hard
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Difficulty: Medium
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Algebra
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Exponents/Roots
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Source: Others, Please Specify
Carcass
7
2292
by:
euphemism100
20 Feb 2024, 23:39
6
sqrt of x^2+2x+1
Tags:
Difficulty: Hard
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Absolute Values/Modules
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Exponents/Roots
,
Source: McGraw-Hill
Carcass
5
2266
by:
rx10
20 Jun 2022, 02:42
8
21^2=x^2y^3, where x and y are integers
Tags:
Difficulty: Hard
,
Algebra
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Exponents/Roots
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Source: MGRE
Carcass
3
2264
by:
bumpbot
20 Dec 2022, 16:26
8
xyz > 0 and y>0
Tags:
Difficulty: Hard
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Algebra
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Exponents/Roots
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Inequalities
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Source: Greenlight Test Prep
Carcass
7
2214
by:
steveharvi
18 Apr 2024, 09:26
2
5^-8 or 25^-4
Tags:
Difficulty: Hard
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Difficulty: Medium
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Exponents/Roots
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Numbers Properties
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Source: Others, Please Specify
Carcass
2
2175
by:
GreenlightTestPrep
25 Feb 2021, 08:02
2
(sqrt54/2)^2
Tags:
Difficulty: Hard
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Difficulty: Medium
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Exponents/Roots
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Numbers Properties
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Source: Barron's GRE
Carcass
2
2167
by:
bumpbot
12 Apr 2022, 00:27
2
Which is greater (-87)^8 or (1/87)^-8
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Difficulty: Hard
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Difficulty: Medium
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Exponents/Roots
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Source: Others, Please Specify
Carcass
2
2126
by:
Nishan
27 Nov 2019, 10:02
13
sqrt of 2014 + 2*(1+2+3+.....
Tags:
Difficulty: Hard
,
Arithmetic
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Exponents/Roots
,
Source: Others, Please Specify
Carcass
5
2078
by:
bumpbot
25 Apr 2024, 15:03
13
(4/10)^{x - 1} = (625/100)^{6x - 5}
Tags:
Difficulty: Hard
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Exponents/Roots
,
Source: Others, Please Specify
KarunMendiratta
11
2060
by:
KarunMendiratta
25 Aug 2022, 07:57
3
x^2 + 2 sqrt5
Tags:
Difficulty: Hard
,
Difficulty: Medium
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Absolute Values/Modules
,
Exponents/Roots
,
Source: Others, Please Specify
Carcass
5
2021
by:
Divu1112
01 Jun 2021, 21:41
14
10! - 2(5!)^2 is divisible by 10^n
Tags:
Difficulty: Hard
,
Divisibility/Multiples/Factors
,
Exponents/Roots
,
Source: Others, Please Specify
KarunMendiratta
6
1957
by:
bumpbot
25 Aug 2022, 04:31
2
x and y are positive integers such that x > y
Tags:
Difficulty: Hard
,
Exponents/Roots
,
Numbers Properties
,
Source: MGRE
Carcass
4
1938
by:
raf1061
15 Jul 2020, 23:38
5
sqrt of 3 or sqrt(3) of 9
Tags:
Difficulty: Hard
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Algebra
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Exponents/Roots
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Source: Others, Please Specify
Carcass
2
1916
by:
bumpbot
30 May 2023, 23:05
10
a^2<a,b^2<b,c^2<c and d^2<d
Tags:
Difficulty: Hard
,
Exponents/Roots
,
Fractions/Ratios/Decimals
,
Inequalities
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Source: MGRE
Carcass
4
1911
by:
bumpbot
25 Apr 2024, 22:36
5
b<a<1
Tags:
Difficulty: Hard
,
Algebra
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Exponents/Roots
,
Numbers Properties
,
Source: Others, Please Specify
Carcass
9
1892
by:
rx10
27 Sep 2021, 07:32
4
x^2=x
Tags:
Difficulty: Hard
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Difficulty: Medium
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Algebra
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Exponents/Roots
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Numbers Properties
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Source: Others, Please Specify
Carcass
2
1880
by:
bumpbot
13 Mar 2023, 02:10
3
sqrt 4*9*25
Tags:
Difficulty: Hard
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Difficulty: Medium
,
Algebra
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Exponents/Roots
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Source: Others, Please Specify
Carcass
2
1866
by:
sujayhegde
05 Aug 2022, 09:24
4
root x + root y = 20
Tags:
Difficulty: Hard
,
Exponents/Roots
,
Source: Others, Please Specify
cbrelax
2
1851
by:
rx10
25 Aug 2021, 03:47
2
x > 0 and y >0
Tags:
Difficulty: Hard
,
Exponents/Roots
,
Fractions/Ratios/Decimals
,
Source: MGRE
Carcass
1
1800
by:
pranab223
05 Jan 2020, 05:01
5
root 160 + root 40
Tags:
Difficulty: Hard
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Difficulty: Medium
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Exponents/Roots
,
Source: Others, Please Specify
cbrelax
3
1792
by:
serenaraju
29 Aug 2021, 06:57
2
12^50 or 6^100
Tags:
Difficulty: Hard
,
Difficulty: Medium
,
Algebra
,
Divisibility/Multiples/Factors
,
Exponents/Roots
,
Source: Skill Builder
Carcass
1
1782
by:
GreenlightTestPrep
24 Nov 2021, 06:47
6
a^20/a^x=a^5 and (a^y)^4=a^12
Tags:
Difficulty: Hard
,
Exponents/Roots
,
Numbers Properties
,
Source: Others, Please Specify
Carcass
8
1754
by:
bumpbot
20 Sep 2021, 18:25
10
Range of the possible values of x VS 0.5
Tags:
Difficulty: Hard
,
Exponents/Roots
,
Statistics and Sets Problem
,
Source: Others, Please Specify
KarunMendiratta
1
1741
by:
GreenlightTestPrep
28 Sep 2021, 09:40
1
a<0
Tags:
Difficulty: Hard
,
Difficulty: Medium
,
Algebra
,
Exponents/Roots
,
Inequalities
,
Numbers Properties
,
Source: Others, Please Specify
Carcass
2
1720
by:
Yashulakki
05 Apr 2021, 20:14
2
x and y are positive integers
Tags:
Difficulty: Hard
,
Exponents/Roots
,
Numbers Properties
,
Source: MGRE
Carcass
2
1711
by:
uchihaitachi
26 Dec 2019, 02:20
4
5^20+5^21
Tags:
Difficulty: Hard
,
Difficulty: Medium
,
Algebra
,
Exponents/Roots
,
Source: Skill Builder
Carcass
2
1684
by:
rx10
30 Nov 2021, 08:02
5
3x^2+5 or \sqrt9x^4
Tags:
Difficulty: Hard
,
Difficulty: Medium
,
Algebra
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Exponents/Roots
,
Source: Others, Please Specify
Carcass
5
1652
by:
bumpbot
12 Jun 2022, 16:50
11
xy VS -18
Tags:
Difficulty: Hard
,
Algebra
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Exponents/Roots
,
Source: Others, Please Specify
KarunMendiratta
3
1625
by:
bumpbot
03 Mar 2024, 22:49
1
xy>0
Tags:
Difficulty: Hard
,
Difficulty: Medium
,
Exponents/Roots
,
Numbers Properties
,
Source: Others, Please Specify
Carcass
1
1596
by:
Nishan
27 Nov 2019, 12:11
2
If pq is different from zero
Tags:
Difficulty: Hard
,
Difficulty: Medium
,
Exponents/Roots
,
Numbers Properties
,
Source: The Princeton Review
Carcass
2
1564
by:
GreenlightTestPrep
29 Jan 2020, 11:05
8
a>b
Tags:
Difficulty: Hard
,
Difficulty: Medium
,
Algebra
,
Exponents/Roots
,
Source: Skill Builder
Carcass
3
1478
by:
GreenlightTestPrep
27 Jan 2022, 07:13
4
9^n/9^n+1
Tags:
Difficulty: Hard
,
Difficulty: Medium
,
Exponents/Roots
,
Fractions/Ratios/Decimals
,
Source: Skill Builder
Carcass
1
1439
by:
GreenlightTestPrep
04 Jan 2022, 06:50
2
a^144-1/(a^72+1)
Tags:
Difficulty: Hard
,
Exponents/Roots
,
Fractions/Ratios/Decimals
,
Source: MGRE
Carcass
3
1436
by:
Carcass
05 Jan 2020, 04:20
1
sqrt135/sqrt15
Tags:
Difficulty: Hard
,
Difficulty: Medium
,
Algebra
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Exponents/Roots
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Fractions/Ratios/Decimals
,
Source: Others, Please Specify
Carcass
2
1423
by:
rydercourtney1
20 Nov 2020, 13:46
900 or sqrt30303030
Tags:
Difficulty: Hard
,
Difficulty: Medium
,
Algebra
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Exponents/Roots
,
Source: Others, Please Specify
Carcass
4
1417
by:
Ezio23
29 Oct 2020, 02:19
1
sqrt3x=sqrtx+6
Tags:
Difficulty: Hard
,
Difficulty: Medium
,
Algebra
,
Exponents/Roots
,
Source: Kaplan
Carcass
2
1410
by:
bumpbot
11 Oct 2023, 04:21
1
x^3/5 or (x/5)^3
Tags:
Difficulty: Hard
,
Difficulty: Medium
,
Exponents/Roots
,
Source: McGraw-Hill
Carcass
3
1396
by:
GreenlightTestPrep
11 Jul 2021, 08:24
7
(-1)^-x=-1 and ? is a positive integer 0
Tags:
Difficulty: Hard
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Difficulty: Medium
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Algebra
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Exponents/Roots
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Source: Others, Please Specify
Carcass
9
1378
by:
BrushMyQuant
19 Jan 2023, 05:57
3
n is an integer for which
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Difficulty: Medium
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Source: Others, Please Specify
Carcass
3
1361
by:
chehak
10 Sep 2020, 00:14
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