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

151,853

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

312,326

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

1,383,598

by: bb

16 Apr 2026, 14:28

ER

If |x 2| = 9 and |y + 9| = 8, then find the minimum possible value

555-605 (Medium) | Absolute Values, Min-Max Problems

555-605 (Medium) | Absolute Values, Min-Max Problems hide tags

ramjas1234

09 Nov 2025, 05:15

9

5

843

by: Bunuel

11 Nov 2025, 12:39

ER

If y = |x – 1| and y = 3x + 3, then x must be between which of the

655-705 (Hard) | Absolute Values

655-705 (Hard) | Absolute Values hide tags

1, 2

Bunuel

04 Jun 2015, 04:27

190

26

26,599

by: bumpbot

11 Nov 2025, 10:30

ER

If a and b are different integers and |a| = square_root ab

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

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

Jamil1992Mehedi

24 Apr 2018, 09:51

32

6

5,842

by: bumpbot

10 Nov 2025, 08:55

ER

Which values of x are solutions |x + 1| + |x - 1| <= 2

555-605 (Medium) | Absolute Values, Inequalities

555-605 (Medium) | Absolute Values, Inequalities hide tags

1, 2

sandal85

21 May 2012, 09:14

232

21

41,688

by: bumpbot

09 Nov 2025, 18:20

ER

What is the range of the roots of ||x 1| 2| = 1?

605-655 (Medium) | Absolute Values, Statistics and Sets Problems

605-655 (Medium) | Absolute Values, Statistics and Sets Problems hide tags

Bunuel

08 Jul 2025, 11:13

141

15

28,842

by: bumpbot

08 Nov 2025, 13:21

ER

If |2x + 1| < 3x - 2, then which of the following represents all possi

605-655 (Medium) | Absolute Values, Inequalities

605-655 (Medium) | Absolute Values, Inequalities hide tags

BrentGMATPrepNow

25 Aug 2022, 08:28

25

4

9,109

by: ashKing12

08 Nov 2025, 00:29

If w 0, which of the following must be true?

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

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

egobappe

26 Feb 2024, 23:49

94

6

14,983

by: DonBosco7

07 Nov 2025, 21:02

ER

What is the sum of all the real values of x for which |x-4|^2 + |x-4|

705-805 (Hard) | Absolute Values, Algebra

705-805 (Hard) | Absolute Values, Algebra hide tags

GMATinsight

06 Jun 2017, 04:30

77

12

8,375

by: bumpbot

06 Nov 2025, 15:02

ER

Which of the following expressions equals 0 when x < 0 and equals x^2

555-605 (Medium) | Absolute Values

555-605 (Medium) | Absolute Values hide tags

Bunuel

11 Aug 2023, 03:00

148

11

27,010

by: bumpbot

06 Nov 2025, 02:20

ER

If |r|*s=r^2,which of the following must be

655-705 (Hard) | Absolute Values +3 tags

655-705 (Hard) | Absolute Values, Exponents, Inequalities, Number Properties hide tags

chetan2u

28 Jun 2018, 22:17

81

11

8,771

by: Demonicgod

05 Nov 2025, 04:28

ER

Which of the following expresses the range of possible values for

Sub 505 (Easy) | Absolute Values, Inequalities

Sub 505 (Easy) | Absolute Values, Inequalities hide tags

Bunuel

08 Jan 2017, 08:09

83

7

11,494

by: Bunuel

01 Nov 2025, 07:42

ER

For how many integer values of x, is |x – 8| + |5 – x| > |x + 7|?

555-605 (Medium) | Absolute Values, Inequalities

555-605 (Medium) | Absolute Values, Inequalities hide tags

Bunuel

09 Jan 2017, 07:05

572

19

38,987

by: bumpbot

31 Oct 2025, 14:25

ER

Which of the following inequalities is an algebraic expression for the

505-555 (Easy) | Absolute Values

505-555 (Easy) | Absolute Values hide tags

Princ

26 Sep 2018, 06:47

66

11

12,500

by: bumpbot

31 Oct 2025, 13:14

ER

If a and b are, respectively, the least and greatest nonnegative real

655-705 (Hard) | Absolute Values, Inequalities

655-705 (Hard) | Absolute Values, Inequalities hide tags

Bunuel

14 Aug 2023, 03:00

234

8

35,840

by: bumpbot

30 Oct 2025, 23:54

ER

If |d-9| = 2d, then d=

505-555 (Easy) | Absolute Values

505-555 (Easy) | Absolute Values hide tags

aurobindo

18 Jan 2007, 07:49

123

18

31,023

by: bumpbot

30 Oct 2025, 15:31

ER

What is the solution set for |3x - 2| <= |2x - 5|?

655-705 (Hard) | Absolute Values, Inequalities

655-705 (Hard) | Absolute Values, Inequalities hide tags

1, 2

GMATMadeeasy

16 Jan 2010, 07:00

332

23

36,126

by: Bunuel

28 Oct 2025, 10:31

ER

If the equation |x| + |y| = 6 encloses a certain region on the graph..

655-705 (Hard) | Absolute Values, Coordinate Geometry

655-705 (Hard) | Absolute Values, Coordinate Geometry hide tags

supremekai

06 Feb 2025, 10:19

25

5

2,851

by: Bunuel

27 Oct 2025, 23:58

ER

If |3x - 2 + 4x| > 7, which of the following is a possible value for

655-705 (Hard) | Absolute Values, Inequalities

655-705 (Hard) | Absolute Values, Inequalities hide tags

Bunuel

04 May 2020, 06:25

21

4

5,467

by: bumpbot

27 Oct 2025, 22:37

ER

What is the product of the roots of the equation y = |x|^2 - 5|x| + 6

655-705 (Hard) | Absolute Values, Algebra

655-705 (Hard) | Absolute Values, Algebra hide tags

Bunuel

05 Nov 2019, 01:52

61

8

9,479

by: bumpbot

25 Oct 2025, 22:31

ER

On a laboratory thermometer with equally spaced tick marks for the d

555-605 (Medium) | Absolute Values, Word Problems

555-605 (Medium) | Absolute Values, Word Problems hide tags

guddo

24 Jan 2024, 09:52

75

11

13,094

by: KarishmaB

25 Oct 2025, 21:21

ER

If xy > 0 and (x − 2)(y + 1) < 0, then which of the following must be

805+ (Hard) | Absolute Values +2 tags

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

1, 2

Bunuel

28 Apr 2017, 03:01

375

20

25,408

by: DanTheGMATMan

25 Oct 2025, 19:49

ER

What is the product of the roots of x^2 – 7|x| - 30 = 0?

655-705 (Hard) | Absolute Values, Algebra

655-705 (Hard) | Absolute Values, Algebra hide tags

Bunuel

29 May 2020, 09:55

59

7

8,281

by: bumpbot

25 Oct 2025, 03:14

ER

If m is a positive number and n is a negative number, and |m| > |n|

555-605 (Medium) | Absolute Values, Arithmetic

555-605 (Medium) | Absolute Values, Arithmetic hide tags

Bunuel

08 Sep 2022, 02:53

29

8

8,156

by: bumpbot

23 Oct 2025, 11:41

ER

If |y + 5| < 1 - x and x is a non-zero integer, what is the value of

705-805 (Hard) | Absolute Values

705-805 (Hard) | Absolute Values hide tags

Bunuel

26 Apr 2024, 01:30

42

9

4,483

by: bumpbot

23 Oct 2025, 08:56

ER

When is |x - 4| = 4 - x?

555-605 (Medium) | Absolute Values

555-605 (Medium) | Absolute Values hide tags

1, 2

nkimidi7y

03 May 2012, 11:38

314

39

44,332

by: bumpbot

22 Oct 2025, 21:29

ER

If |x| > 3, 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

corvinis

10 Sep 2012, 02:56

796

30

92,752

by: KarishmaB

21 Oct 2025, 05:37

ER

If x + |x| + y = 7 and x + |y| - y = 6 what is x + y = ?

805+ (Hard) | Absolute Values

805+ (Hard) | Absolute Values hide tags

1, 2

guerrero25

19 Jul 2022, 01:53

311

20

59,405

by: bumpbot

20 Oct 2025, 13:12

ER

If 3+ |n^2 - 2| ≤ 12, then what is the number of integer values of n w

655-705 (Hard) | Absolute Values

655-705 (Hard) | Absolute Values hide tags

Russ19

09 Feb 2020, 19:42

38

5

5,277

by: bumpbot

19 Oct 2025, 20:51

ER

If x and y are numbers such that x < - 10 and y > 6, which of the

705-805 (Hard) | Absolute Values

705-805 (Hard) | Absolute Values hide tags

EgmatQuantExpert

07 Aug 2018, 06:15

160

18

18,343

by: Kinshook

17 Oct 2025, 01:24

ER

If a/b > c/d, and none of a, b, c, and d is equal to 0, which of the

605-655 (Medium) | Absolute Values

605-655 (Medium) | Absolute Values hide tags

Bunuel

30 Sep 2021, 02:15

27

3

7,461

by: bumpbot

16 Oct 2025, 22:18

ER

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

705-805 (Hard) | Absolute Values

705-805 (Hard) | Absolute Values hide tags

rencsee

27 Nov 2018, 14:11

34

10

4,887

by: bumpbot

16 Oct 2025, 20:14

ER

What is the value of |3 - 2| + |3 - 2| + |5 + 3| + |1 - 2|?

555-605 (Medium) | Absolute Values

555-605 (Medium) | Absolute Values hide tags

Bunuel

18 Nov 2023, 07:07

15

5

2,667

by: bumpbot

14 Oct 2025, 02:00

ER

If |x| = 5x - 16, find sum of all possible values of x.

655-705 (Hard) | Absolute Values

655-705 (Hard) | Absolute Values hide tags

figjam786

03 Jul 2022, 08:55

41

4

4,986

by: bumpbot

13 Oct 2025, 14:11

ER

If |x - 7| > 56, what is the range of x?

555-605 (Medium) | Absolute Values, Algebra

555-605 (Medium) | Absolute Values, Algebra hide tags

EgmatQuantExpert

13 Sep 2018, 08:19

40

7

10,848

by: jonatasjun

11 Oct 2025, 05:34

ER

If |x - 1| > 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

Jamil1992Mehedi

20 Mar 2018, 20:48

50

9

12,859

by: Bunuel

11 Oct 2025, 01:39

ER

If |y| ≤ -4x and |3x - 4|= 2x + 6. Which of the following could be the

605-655 (Medium) | Absolute Values, Algebra

605-655 (Medium) | Absolute Values, Algebra hide tags

Bunuel

12 Nov 2019, 03:49

83

11

16,653

by: bumpbot

09 Oct 2025, 10:07

ER

(|x| - 3) (|y| + 4) = 12. How many pairs of integers (x, y) satisfy th

805+ (Hard) | Absolute Values +2 tags

805+ (Hard) | Absolute Values, Algebra, Inequalities hide tags

GMATinsight

08 May 2020, 07:52

60

6

11,966

by: praesentiumnemo

08 Oct 2025, 09:48

ER

How many different values can B have?

505-555 (Easy) | Absolute Values, Number Properties

505-555 (Easy) | Absolute Values, Number Properties hide tags

houston1980

18 Apr 2021, 18:07

22

3

6,330

by: bumpbot

07 Oct 2025, 00:34

ER

The number line below is equivalent to which of the following

505-555 (Easy) | Absolute Values

505-555 (Easy) | Absolute Values hide tags

Bunuel

12 Feb 2024, 07:08

5

2,914

by: bumpbot

06 Oct 2025, 11:51

ER

If y = |3x - 5|/(-x^2 - 3) for what value of x will the value of y be

705-805 (Hard) | Absolute Values, Min-Max Problems

705-805 (Hard) | Absolute Values, Min-Max Problems hide tags

1, 2

parkhydel

27 Apr 2020, 14:25

784

21

51,085

by: thekingslay

05 Oct 2025, 23:46

ER

GMAT Club Olympics 2024 (Day 8): What is the minimum value of f(x) =

655-705 (Hard) | Absolute Values, Min-Max Problems

655-705 (Hard) | Absolute Values, Min-Max Problems hide tags

Bunuel

17 Jul 2024, 07:00

41

8

8,654

by: Bunuel

05 Oct 2025, 06:54

ER

Given this system of equations, what is the value of |p| + |q|?

Sub 505 (Easy) | Absolute Values, Algebra

Sub 505 (Easy) | Absolute Values, Algebra hide tags

Bunuel

05 Nov 2018, 22:04

11

6

6,807

by: bumpbot

04 Oct 2025, 03:28

ER

If |x| + x = 4, then which one of the following is odd?

Sub 505 (Easy) | Absolute Values, Number Properties

Sub 505 (Easy) | Absolute Values, Number Properties hide tags

Bunuel

02 Apr 2019, 04:03

10

4

7,125

by: bumpbot

04 Oct 2025, 03:24

ER

The functions f and g are defined by f(x) = |2x +1| and g(x) = 3 for a

Sub 505 (Easy) | Absolute Values, Functions and Custom Characters

Sub 505 (Easy) | Absolute Values, Functions and Custom Characters hide tags

Bunuel

07 Dec 2018, 02:39

18

5

10,405

by: bumpbot

04 Oct 2025, 02:41

ER

Which of the following could be the value of x, if |4x – 2| = 10?

Sub 505 (Easy) | Absolute Values

Sub 505 (Easy) | Absolute Values hide tags

Bunuel

20 Dec 2015, 05:12

15

7

10,875

by: bumpbot

03 Oct 2025, 23:47

ER

If x ≠ 2.5 and 2x = |15 - 4x|, then x =

Sub 505 (Easy) | Absolute Values

Sub 505 (Easy) | Absolute Values hide tags

Bunuel

22 Oct 2018, 01:26

13

7

12,188

by: bumpbot

03 Oct 2025, 23:42

ER

Solve for x: |3x-2|≤ 1/2

Sub 505 (Easy) | Absolute Values, Inequalities

Sub 505 (Easy) | Absolute Values, Inequalities hide tags

TheUltimateWinner

21 Nov 2019, 11:48

21

4

20,313

by: bumpbot

03 Oct 2025, 23:17

ER

If 1 < x < 3 and -5 < y < -4, which of the following is/are NOT true?

705-805 (Hard) | Absolute Values, Inequalities

705-805 (Hard) | Absolute Values, Inequalities hide tags

contactakanksha

03 Mar 2020, 06:24

31

6

4,185

by: bumpbot

02 Oct 2025, 10:16

ER

How many common points have y = |x| and y = |x^2 - 4| ?

705-805 (Hard) | Absolute Values, Functions and Custom Characters

705-805 (Hard) | Absolute Values, Functions and Custom Characters hide tags

Bunuel

18 Jan 2022, 04:00

35

3

4,950

by: bumpbot

02 Oct 2025, 04:47

ER

What is the area of four sided figure formed by the intersection of

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

605-655 (Medium) | Absolute Values, Coordinate Geometry, Geometry hide tags

Turkish

09 Feb 2015, 04:08

266

15

18,478

by: bumpbot

02 Oct 2025, 02:41