GMAT Problem Solving (PS) Forum - Free Practice Questions

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

Bunuel

03 Dec 2022, 14:23

321

12

151,861

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

312,336

by: Shashankksharma

17 Apr 2026, 02:55

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GMAT PS Question Directory by Topic & Difficulty

bb

16 Apr 2026, 14:28

3.3k

0

1,383,636

by: bb

16 Apr 2026, 14:28

ER

The equation 4x + 3 = a(x + b), where a and b are constants, has no so

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

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

AndrewN

13 Jan 2021, 15:02

10

2

2,117

by: bumpbot

22 Jan 2025, 04:44

n and p are integers. If n^{2}+p+5=2n^{2}+n-1, which of the following

555-605 (Medium) | Arithmetic +2 tags

555-605 (Medium) | Arithmetic, Must or Could be True, Number Properties hide tags

gmatislikegolf

15 Jan 2025, 07:24

12

3

943

by: nishantswaft

19 Jan 2025, 21:50

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If x,y are numbers >0 and 2^x*5^y=400

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

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

Zarrolou

04 May 2013, 13:42

36

10

6,446

by: bumpbot

12 Jan 2025, 06:07

ER

If x^3=xy and x does not equal 0, which of the following must be true?

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

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

Bunuel

04 Jan 2022, 10:15

6

2

2,891

by: ManifestDreamMBA

09 Jan 2025, 14:25

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Given that 0 ≤ x ≤ 3, and y < 8, which of the following could NOT be

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

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

Bunuel

26 Jan 2021, 03:00

23

12

6,507

by: bumpbot

07 Jan 2025, 05:18

ER

If the positive integer y is divisible by 3, 8, and 12, then which of

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

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

neeti1813

03 Sep 2014, 22:25

10

5

7,030

by: bumpbot

01 Jan 2025, 08:01

ER

If n + 12 is a positive odd integer, which of the following must be

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

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

Bunuel

12 Apr 2016, 02:19

23

9

7,814

by: bumpbot

18 Dec 2024, 22:06

ER

If x, y, z are integers and x = 2y - 7 + 3z, which of the following

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

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

KSBGC

01 Dec 2023, 08:34

37

6

6,351

by: bumpbot

17 Dec 2024, 22:57

ER

If x = 2, which of the following is (are) false?

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

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

Bunuel

09 Dec 2024, 01:30

7

4

2,431

by: sushanth21

16 Dec 2024, 11:57

ER

If x > 0 and y < 0, which of the following must be true?

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

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

Emdad

18 May 2021, 07:37

6

3

3,452

by: bumpbot

15 Dec 2024, 12:16

ER

If x is an integer and |1 x| < 2 then which of the following must be

805+ (Hard) | Absolute Values +2 tags

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

Bunuel

23 Mar 2025, 08:46

219

18

40,687

by: Bunuel

15 Dec 2024, 10:23

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If -|x+1| = b, where b is a non-zero integer, which of the following s

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

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

hubahuba

07 Jan 2015, 21:09

57

10

7,497

by: bumpbot

13 Dec 2024, 00:07

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If x/y is an integer, which of the following must also be an integer?

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

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

Bunuel

28 Feb 2016, 09:24

26

6

9,162

by: bumpbot

11 Dec 2024, 12:45

ER

If xyz < 0 and yz > 0, which of the following must be positi

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

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

Carcass

20 Feb 2013, 16:41

8

6

7,018

by: bumpbot

08 Dec 2024, 21:54

ER

If x is a positive integer and x^2 + 3 divided by 32 leaves a reminder

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

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

Bunuel

24 Jun 2020, 11:27

21

11

7,700

by: bumpbot

03 Dec 2024, 20:00

ER

If x > 0, which of the following must be true?

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

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

Bunuel

06 May 2021, 06:00

13

3

8,283

by: BrushMyQuant

01 Dec 2024, 03:29

ER

If 2/z = 2/(z + 1) + 2/(z + 9) which of these integers could be the

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

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

Bunuel

08 May 2015, 06:21

28

6

6,833

by: bumpbot

01 Dec 2024, 00:36

ER

When positive integer m is multiplied by positive integer n, the units

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

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

Bunuel

02 Feb 2015, 07:28

41

10

9,178

by: bumpbot

30 Nov 2024, 12:17

ER

If s is the sum of consecutive even integers w, x, y, and z

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

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

Bunuel

29 Nov 2024, 01:30

6

3

1,165

by: chandy123

29 Nov 2024, 04:37

ER

If a positive integer q is divisible by both 3 and 11, then q must als

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

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

mijou

03 Mar 2011, 20:56

10

7

5,154

by: bumpbot

25 Nov 2024, 17:54

ER

If x^7 < x^6 , which of the following could be the value of x ?

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

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

Bunuel

16 Apr 2018, 05:02

12

8

5,029

by: bumpbot

22 Nov 2024, 08:11

ER

If x > y, then which of the following could be true?

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

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

Bunuel

28 Jul 2022, 16:45

18

3

4,837

by: glagad

21 Nov 2024, 00:16

ER

If 0 < a < 1/b <1 then which of the following must be true ?

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

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

Bunuel

26 Oct 2021, 08:30

17

4

7,305

by: bumpbot

19 Nov 2024, 08:44

ER

If x and y are nonzero integers and 450x = 120y then which

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

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

tonebeeze

01 Sep 2010, 19:25

42

2

12,616

by: bumpbot

19 Nov 2024, 05:04

ER

If x and y are positive integers such that x < y, which of the followi

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

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

Bunuel

29 Mar 2018, 00:21

14

9

4,894

by: bumpbot

16 Nov 2024, 02:56

ER

If a and b are real numbers such that a percent of (a − 2b) when added

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

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

Bunuel

19 Sep 2018, 23:58

7

5

3,720

by: bumpbot

11 Nov 2024, 13:23

ER

If x^2 + 1/x^2 = 6 then which of the following could be the value of x

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

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

Bunuel

22 Jan 2021, 08:30

13

4

3,135

by: bumpbot

10 Nov 2024, 23:15

ER

If a and b are integers, and a is a factor of b, what must be true?

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

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

energetics

27 May 2019, 16:09

37

10

8,242

by: ManifestDreamMBA

09 Nov 2024, 04:23

ER

If 3 < x < 7, 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

AnisMURR

08 Jan 2017, 11:45

22

12

4,957

by: bumpbot

08 Nov 2024, 23:24

ER

If a – b > a + b, where a and b are integers, which of the following

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

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

1, 2

girishkakkar

30 Jan 2011, 22:18

85

26

31,000

by: ManishaPrepMinds

07 Nov 2024, 05:05

ER

If x^2>y>z^2, then which of the following could be true?

805+ (Hard) | Inequalities +2 tags

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

chetan2u

01 Dec 2019, 04:57

7

2

3,210

by: bumpbot

26 Oct 2024, 00:33

ER

Which of the following must be true?

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

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

stonecold

06 Aug 2016, 21:45

13

3

4,441

by: bumpbot

26 Oct 2024, 00:10

ER

The school soccer team consists entirely of freshmen and s

Sub 505 (Easy) | Must or Could be True

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

emmak

12 Mar 2013, 02:30

5

4

3,448

by: bumpbot

20 Oct 2024, 04:13

ER

If (ax)16(by)12(cxy)17(dxy)11>0, and all the variables are non-zero,

605-655 (Medium) | Exponents +2 tags

605-655 (Medium) | Exponents, Must or Could be True, Number Properties hide tags

Jamil1992Mehedi

18 Mar 2018, 01:57

14

6

5,524

by: bumpbot

19 Oct 2024, 14:41

ER

Which of the following CANNOT be a value of 6/(x–6)?

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

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

emmak

15 Feb 2013, 12:19

45

9

11,040

by: bumpbot

19 Oct 2024, 07:53

ER

Fence X is twice as long as fence Y, and fence Y is 2 feet shorter tha

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

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

Maxirosario2012

28 Mar 2014, 17:58

17

6

6,895

by: glagad

08 Oct 2024, 18:31

ER

Alice has 3 times the number of stamps t that Doris does an

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

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

thevenus

21 Oct 2012, 08:10

19

6

7,396

by: bumpbot

06 Oct 2024, 09:50

ER

If (a – b)2c = 0, then which of the following must be true?

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

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

marcovg4

30 Mar 2013, 10:32

30

9

8,633

by: bumpbot

05 Oct 2024, 10:03

ER

If x^2 +4x -32 <0, which of the following must be true

605-655 (Medium) | Absolute Values +2 tags

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

Raxit85

10 Feb 2020, 23:20

22

5

8,751

by: bumpbot

04 Oct 2024, 11:59

ER

If x > 1 and y > -1, then then which of the following must be true ?

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

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

Bunuel

01 Feb 2022, 04:15

3

2

1,946

by: bumpbot

02 Oct 2024, 07:19

ER

x and y are integers. If x + 1 > 0 and xy > 0, which of the following

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

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

farha_01

06 Sep 2024, 09:49

5

1,566

by: pierjoejoe

30 Sep 2024, 12:48

ER

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

555-605 (Medium) | Absolute Values +2 tags

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

Bunuel

12 Dec 2019, 03:05

18

4

7,570

by: pierjoejoe

30 Sep 2024, 08:49

ER

If x^2 + 4x + n > 13 for all x, then which of the following must be tr

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

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

Bunuel

02 Mar 2020, 05:37

31

5

7,004

by: bumpbot

28 Sep 2024, 07:46

ER

If -2 < a < 11 and 3 < b < 12, then which of the following is NOT true

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

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

Bunuel

25 May 2017, 13:21

40

15

10,556

by: bumpbot

21 Sep 2024, 23:35

ER

Mike, Scott, Jim, Kate, and Pete each have a different number of assig

555-605 (Medium) | Inequalities +2 tags

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

Bunuel

10 Dec 2019, 01:43

3

5

5,036

by: bumpbot

19 Sep 2024, 13:34

ER

Which of the following must be true if x/y and x/z > y/z?

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

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

Bunuel

07 Nov 2019, 00:28

26

16

7,601

by: bumpbot

18 Sep 2024, 13:53

ER

12 Days of Christmas GMAT Competition - Day 5: If p, q are each greate

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

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

Bunuel

18 Dec 2022, 07:00

11

4

4,887

by: bumpbot

18 Sep 2024, 11:40

ER

If x, y are non-zero integers and x/y < |x/y| < y, which of the

555-605 (Medium) | Absolute Values +2 tags

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

mathhelp001

26 Apr 2023, 23:56

11

5

3,073

by: bumpbot

17 Sep 2024, 13:13

ER

Which of the following can be an integer if p is a positive integer an

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

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

Bunuel

17 Sep 2024, 11:19

1

898

by: Ayeka

17 Sep 2024, 11:52

ER

If [3(ab)^3 + 9(ab)^2 54ab] / [(a-1)(a + 2)] = 0, and a and b are bo

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

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

Bunuel

05 Nov 2014, 08:46

157

14

21,095

by: bumpbot

16 Sep 2024, 21:22