GMAT Problem Solving (PS) Forum - Free Practice Questions

ER

Complete 1000 GMAT Problem Solving Series (PS-1000 Series) Questions

Bunuel

03 Dec 2022, 14:23

321

12

151,933

by: ekfdskfe

13 Jul 2025, 19:03

ER

100 Hardest and easiest questions for PS as of March 2026

Bunuel

01 Jan 2026, 05:45

1.1k

8

312,375

by: Shashankksharma

17 Apr 2026, 02:55

ER

GMAT PS Question Directory by Topic & Difficulty

bb

16 Apr 2026, 14:28

3.3k

0

1,383,785

by: bb

16 Apr 2026, 14:28

ER

If d is the greatest common divisor of x and y, where 1 < d < x and 1

655-705 (Hard) | Multiples and Factors, Must or Could be True, Number Properties hide tags

cjcalero24

26 Oct 2024, 19:23

102

11

9,279

by: Bunuel

25 Aug 2025, 13:12

ER

If x^3 < x^2, which of the following must be negative?

555-605 (Medium) | Inequalities, Must or Could be True

555-605 (Medium) | Inequalities, Must or Could be True hide tags

Bunuel

15 Apr 2018, 09:58

43

11

10,040

by: bumpbot

25 Aug 2025, 04:50

ER

T is the set of all positive integers x such that x^2 is a multiple of

705-805 (Hard) | Multiples and Factors +2 tags

705-805 (Hard) | Multiples and Factors, Must or Could be True, Number Properties hide tags

Bunuel

12 May 2015, 04:45

63

9

12,914

by: bumpbot

24 Aug 2025, 19:49

ER

The integers 6, 9, 10, and 25 are each factors of the positive integer

605-655 (Medium) | Multiples and Factors, Must or Could be True

605-655 (Medium) | Multiples and Factors, Must or Could be True hide tags

edwin.que

27 Oct 2023, 23:04

93

6

17,547

by: bumpbot

24 Aug 2025, 10:32

ER

If 2s > 8 and 3t < 9

505-555 (Easy) | Inequalities, Must or Could be True

505-555 (Easy) | Inequalities, Must or Could be True hide tags

tulsa

25 Mar 2013, 13:30

106

15

25,172

by: bumpbot

20 Aug 2025, 13:10

ER

If xy + z = x(y + z), which of the following must be true?

555-605 (Medium) | Must or Could be True

555-605 (Medium) | Must or Could be True hide tags

1, 2

TomB

05 Nov 2021, 06:44

336

26

102,864

by: bumpbot

20 Aug 2025, 05:44

ER

For an integer n, the function f(n) is defined as the product of all

655-705 (Hard) | Multiples and Factors, Must or Could be True

655-705 (Hard) | Multiples and Factors, Must or Could be True hide tags

nkmungila

30 Oct 2017, 22:14

37

9

10,097

by: bumpbot

18 Aug 2025, 22:36

When r percent is expressed as a fraction and the fraction is reduced

555-605 (Medium) | Fractions and Ratios +2 tags

555-605 (Medium) | Fractions and Ratios, Must or Could be True, Percent and Interest Problems hide tags

Afroditee

25 Oct 2022, 12:56

8

2

2,705

by: bumpbot

18 Aug 2025, 17:51

ER

If 45x = 121y, which of the following must be true?

805+ (Hard) | Must or Could be True, Number Properties

805+ (Hard) | Must or Could be True, Number Properties hide tags

Bunuel

16 Sep 2022, 06:37

47

11

8,015

by: Bunuel

16 Aug 2025, 02:01

ER

If a and b are integers, ab = 5, and a b > 0, which of the followin

655-705 (Hard) | Must or Could be True, Number Properties

655-705 (Hard) | Must or Could be True, Number Properties hide tags

Bunuel

16 Mar 2022, 03:45

12

7

3,440

by: bumpbot

10 Aug 2025, 10:02

ER

If 2/a + 3/a + 4/a is an integer, which of the following must also be

505-555 (Easy) | Must or Could be True, Number Properties

505-555 (Easy) | Must or Could be True, Number Properties hide tags

Bunuel

07 Aug 2025, 22:00

3

873

by: ButterPepper

08 Aug 2025, 15:37

ER

If a^4 < b^4, then which of the following must be true?

605-655 (Medium) | Inequalities, Must or Could be True

605-655 (Medium) | Inequalities, Must or Could be True hide tags

sahilsahh

27 Jun 2024, 23:54

8

2

1,756

by: bumpbot

08 Aug 2025, 03:56

ER

There are at least three times as many boys as girls in a class.

805+ (Hard) | Must or Could be True, Statistics and Sets Problems

805+ (Hard) | Must or Could be True, Statistics and Sets Problems hide tags

Bunuel

07 Feb 2023, 02:30

20

4

4,301

by: mayankkamal999

07 Aug 2025, 04:29

ER

If x< 1/x, then which of the following must be true? I. X3>

655-705 (Hard) | Inequalities, Must or Could be True

655-705 (Hard) | Inequalities, Must or Could be True hide tags

Emdad

18 May 2021, 07:45

15

7

4,215

by: bumpbot

06 Aug 2025, 11:31

ER

If x/23 is a positive integer with a factor of 6, which of the followi

505-555 (Easy) | Multiples and Factors +2 tags

505-555 (Easy) | Multiples and Factors, Must or Could be True, Number Properties hide tags

Bunuel

13 Jul 2021, 04:00

20

5

6,824

by: Bunuel

02 Aug 2025, 09:27

ER

If k is an integer, and 35^2-1/k is an integer, then k could

555-605 (Medium) | Algebra, Must or Could be True

555-605 (Medium) | Algebra, Must or Could be True hide tags

dimitri92

10 Apr 2012, 11:50

146

16

27,702

by: bumpbot

01 Aug 2025, 11:48

ER

If abc = b^3 , which of the following must be true?

655-705 (Hard) | Algebra, Must or Could be True

655-705 (Hard) | Algebra, Must or Could be True hide tags

nikhilsrl

30 Mar 2012, 10:44

138

18

22,870

by: bumpbot

01 Aug 2025, 08:05

ER

If a < b < 0, which of the following must be true?

605-655 (Medium) | Inequalities, Must or Could be True

605-655 (Medium) | Inequalities, Must or Could be True hide tags

Bunuel

21 Apr 2015, 06:01

62

6

16,879

by: bumpbot

01 Aug 2025, 05:25

ER

If a^(2/3) = b^(2/3) for a ≠ 0 and b ≠ 0, then which of the following

655-705 (Hard) | Exponents, Must or Could be True

655-705 (Hard) | Exponents, Must or Could be True hide tags

Bunuel

01 Jul 2020, 11:20

11

6

3,244

by: Akhilesh1227

31 Jul 2025, 03:57

ER

If r, s, and t are integers such that r^2 > s^2 > t^2, which of the

555-605 (Medium) | Inequalities, Must or Could be True

555-605 (Medium) | Inequalities, Must or Could be True hide tags

Bunuel

29 Jul 2025, 22:00

6

3

760

by: Souradeep17

30 Jul 2025, 10:50

ER

Stephanie, Regine, and Brian ran a 20 mile race. Stephanie

705-805 (Hard) | Distance and Speed Problems, Must or Could be True

705-805 (Hard) | Distance and Speed Problems, Must or Could be True hide tags

jakolik

02 Dec 2012, 04:19

211

16

32,441

by: BinodBhai

29 Jul 2025, 06:18

ER

If -1 < x < 1 and x is not equals to 0, which must be true?

805+ (Hard) | Exponents +2 tags

805+ (Hard) | Exponents, Inequalities, Must or Could be True hide tags

TanvirMahtab22

10 Oct 2022, 21:36

20

3

3,251

by: bumpbot

29 Jul 2025, 02:14

ER

If y is an even integer greater than 4, and x = y^2 - 2y, then which o

705-805 (Hard) | Algebra +2 tags

705-805 (Hard) | Algebra, Multiples and Factors, Must or Could be True hide tags

Bunuel

20 Jan 2020, 02:58

22

5

6,146

by: bumpbot

28 Jul 2025, 11:23

ER

R is a set containing 8 different numbers. S is a set containing 7

655-705 (Hard) | Must or Could be True, Statistics and Sets Problems

655-705 (Hard) | Must or Could be True, Statistics and Sets Problems hide tags

enigma123

27 Jul 2025, 23:58

29

7

10,658

by: Bunuel

28 Jul 2025, 00:05

ER

Fresh Meat!!!

655-705 (Hard) | Fractions and Ratios +3 tags

655-705 (Hard) | Fractions and Ratios, Functions and Custom Characters, Multiples and Factors, Must or Could be True hide tags

1, 2, 3

Bunuel

17 Apr 2013, 06:11

765

58

131,989

by: WhitEngagePrep

27 Jul 2025, 17:26

ER

If 0 < x^y < 1, which of the following must be greater than x?

805+ (Hard) | Exponents +2 tags

805+ (Hard) | Exponents, Inequalities, Must or Could be True hide tags

mangamma

05 Mar 2019, 23:14

30

4

4,700

by: Bunuel

27 Jul 2025, 03:47

ER

If |8x − 7| > 3x + 8, then each of the following could be true EXCEPT:

655-705 (Hard) | Absolute Values +2 tags

655-705 (Hard) | Absolute Values, Inequalities, Must or Could be True hide tags

Bunuel

09 Oct 2020, 03:30

48

8

9,922

by: BrushMyQuant

26 Jul 2025, 04:22

ER

If the reciprocal of x is between 0 and 1, which of the following must

Sub 505 (Easy) | Inequalities, Must or Could be True

Sub 505 (Easy) | Inequalities, Must or Could be True hide tags

Bunuel

21 Jul 2025, 22:00

9

3

906

by: Souradeep17

22 Jul 2025, 09:55

ER

If |x| = |y|, which of the following must be true?

Sub 505 (Easy) | Absolute Values, Must or Could be True

Sub 505 (Easy) | Absolute Values, Must or Could be True hide tags

Bunuel

28 Sep 2021, 07:45

10

4

5,049

by: BrushMyQuant

22 Jul 2025, 07:13

ER

When positive integer a is divided by positive integer b, yielding quo

655-705 (Hard) | Multiples and Factors +2 tags

655-705 (Hard) | Multiples and Factors, Must or Could be True, Remainders hide tags

Bunuel

09 Oct 2016, 03:01

112

12

13,613

by: ManishaPrepMinds

22 Jul 2025, 02:08

ER

k = 2^n + 7, where n is an integer greater than 1. If k is divisible

555-605 (Medium) | Exponents +2 tags

555-605 (Medium) | Exponents, Multiples and Factors, Must or Could be True hide tags

Bunuel

02 Apr 2021, 03:30

22

6

4,475

by: bumpbot

22 Jul 2025, 01:52

ER

If n = 2×3×5×7×11×13×17, then which of the following statements must b

705-805 (Hard) | Multiples and Factors, Must or Could be True

705-805 (Hard) | Multiples and Factors, Must or Could be True hide tags

Bunuel

31 Mar 2015, 05:47

50

9

18,598

by: bumpbot

21 Jul 2025, 09:32

ER

If the LCM of two numbers a and b is 1104 and their HCF is 4

655-705 (Hard) | Must or Could be True, Number Properties

655-705 (Hard) | Must or Could be True, Number Properties hide tags

ricsingh

10 Apr 2014, 01:42

28

10

11,574

by: bumpbot

21 Jul 2025, 05:05

ER

If (x^2 + 8)yz < 0, wz > 0, and xyz < 0, the which of the following

655-705 (Hard) | Inequalities, Must or Could be True

655-705 (Hard) | Inequalities, Must or Could be True hide tags

Bunuel

22 Jul 2019, 00:08

10

3

3,521

by: bumpbot

21 Jul 2025, 03:42

ER

If a and b are integers, and 240a = b 3 , which of the following must

655-705 (Hard) | Multiples and Factors, Must or Could be True

655-705 (Hard) | Multiples and Factors, Must or Could be True hide tags

Bunuel

17 Feb 2020, 08:39

29

7

7,558

by: bumpbot

21 Jul 2025, 01:38

ER

If p and q are integers and p divided by q is 20.15, then which of the

555-605 (Medium) | Must or Could be True, Remainders

555-605 (Medium) | Must or Could be True, Remainders hide tags

kalita

08 Oct 2012, 10:15

42

9

8,075

by: bumpbot

20 Jul 2025, 08:34

ER

The function f(n) is defined as the product of all integers from 1 to

705-805 (Hard) | Functions and Custom Characters +3 tags

705-805 (Hard) | Functions and Custom Characters, Must or Could be True, Number Properties, Sequences hide tags

EgmatQuantExpert

16 Nov 2018, 04:08

122

9

8,287

by: bumpbot

20 Jul 2025, 08:07

ER

If k is an odd positive integer greater than 10, which of the followin

805+ (Hard) | Exponents +3 tags

805+ (Hard) | Exponents, Multiples and Factors, Must or Could be True, Number Properties hide tags

nislam

20 Jan 2022, 09:41

23

3

3,143

by: bumpbot

20 Jul 2025, 04:03

ER

If |x| < x^2, which of the following must be true?

655-705 (Hard) | Absolute Values +2 tags

655-705 (Hard) | Absolute Values, Inequalities, Must or Could be True hide tags

1, 2, 3

mehdiov

18 Jul 2025, 13:27

635

56

90,978

by: Komal324

20 Jul 2025, 03:18

ER

If p and q are two different odd prime numbers, such that

805+ (Hard) | Must or Could be True, Number Properties

805+ (Hard) | Must or Could be True, Number Properties hide tags

mikemcgarry

10 Jul 2013, 11:08

79

11

29,000

by: bumpbot

20 Jul 2025, 02:21

ER

For all real numbers a and b, where a ⋅ b =/ 0, let a◊b = ab

705-805 (Hard) | Algebra +2 tags

705-805 (Hard) | Algebra, Functions and Custom Characters, Must or Could be True hide tags

gettinit

04 Jul 2019, 01:08

54

7

11,929

by: bumpbot

19 Jul 2025, 07:39

ER

Let the function p(n) represent the product of the first n p

705-805 (Hard) | Must or Could be True, Number Properties

705-805 (Hard) | Must or Could be True, Number Properties hide tags

Vijayeta

28 Jul 2014, 03:57

44

12

8,808

by: bumpbot

19 Jul 2025, 03:24

ER

If |b|>=2 and x = |a|*b, then which of the following is always true?

705-805 (Hard) | Absolute Values +2 tags

705-805 (Hard) | Absolute Values, Inequalities, Must or Could be True hide tags

vjsharma25

10 Mar 2011, 21:51

103

14

15,362

by: bumpbot

19 Jul 2025, 03:18

ER

If −y ≥ x, and −x < −5, then which of the following must be true?

655-705 (Hard) | Inequalities, Must or Could be True

655-705 (Hard) | Inequalities, Must or Could be True hide tags

Bunuel

03 May 2021, 00:00

14

3

4,790

by: bumpbot

19 Jul 2025, 01:43

ER

If 4a + 2b < n and 4b + 2a > m, then which of the following must be tr

555-605 (Medium) | Inequalities, Must or Could be True

555-605 (Medium) | Inequalities, Must or Could be True hide tags

Bunuel

16 Feb 2021, 21:13

9

7

6,118

by: bumpbot

19 Jul 2025, 00:55

ER

If a and b are positive even integers, and the least common

655-705 (Hard) | Must or Could be True, Number Properties

655-705 (Hard) | Must or Could be True, Number Properties hide tags

vikramm

28 Aug 2013, 04:21

89

12

22,297

by: kabirgandhi

17 Jul 2025, 08:10

ER

If j and k are integers and j^2/k is odd, which of the following must

705-805 (Hard) | Must or Could be True, Number Properties

705-805 (Hard) | Must or Could be True, Number Properties hide tags

rxs0005

10 Jan 2011, 13:54

67

11

14,164

by: BinodBhai

17 Jul 2025, 03:12

ER

12 Easy Pieces (or not?)

555-605 (Medium) | Algebra +9 tags

555-605 (Medium) | Algebra, Combinations, Exponents, Functions and Custom Characters, Geometry, Inequalities, Must or Could be True, Number Properties, Probability, Word Problems hide tags

1, 2, 3, 4

Bunuel

21 Jan 2012, 06:10

2.1k

65

215,716

by: Bunuel

16 Jul 2025, 08:38

ER

If x is a multiple of 5, y is a factor of 16, and z is a factor of 40,

655-705 (Hard) | Multiples and Factors, Must or Could be True

655-705 (Hard) | Multiples and Factors, Must or Could be True hide tags

Bunuel

01 Sep 2021, 03:17

12

5

4,401

by: bumpbot

15 Jul 2025, 14:55

ER

If x is an even integer, which of the following must be an odd integer

505-555 (Easy) | Must or Could be True, Number Properties

505-555 (Easy) | Must or Could be True, Number Properties hide tags

slsu

10 Oct 2019, 05:42

84

13

57,423

by: bumpbot

15 Jul 2025, 03:34