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

For how many integer values of x, is |x – 3| + |x + 1| + |x| < 10?

605-655 (Medium) | Absolute Values, Inequalities

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

Bunuel

09 Jan 2017, 07:01

265

16

57,690

by: GMATCoachBen

30 Sep 2025, 16:45

ER

If |p 6| + p = 6, which of the following must be true?

655-705 (Hard) | Absolute Values, Inequalities

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

1, 2

bagdbmba

11 Dec 2024, 05:55

145

25

19,785

by: bumpbot

29 Sep 2025, 18:30

ER

What is the product of all the solutions of (x + 2)^2 = |x + 2|?

655-705 (Hard) | Absolute Values, Algebra

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

1, 2

Bunuel

07 Aug 2023, 09:00

498

29

57,594

by: egmat

28 Sep 2025, 22:33

ER

If |x| < x^2, 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

1, 2

Skywalker18

03 Jun 2021, 01:23

789

34

88,457

by: Bunuel

28 Sep 2025, 09:05

ER

Given p=|q| and q=3^a-(27^40+27^8), which of the following values of '

605-655 (Medium) | Absolute Values, Exponents

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

PKN

14 Jul 2018, 07:32

77

10

9,332

by: iurequi

28 Sep 2025, 07:22

ER

If x & y are integers, how many solution pairs (x,y) satisfy the equat

805+ (Hard) | Absolute Values, Number Properties

805+ (Hard) | Absolute Values, Number Properties hide tags

Kinshook

04 Aug 2019, 10:36

48

9

10,049

by: Aarya_San

27 Sep 2025, 20:15

ER

Which of the options must be true if x satisfies the 2 inequalities gi

805+ (Hard) | Absolute Values, Inequalities

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

Bunuel

08 Oct 2021, 03:15

46

9

7,720

by: Kinshook

25 Sep 2025, 10:32

ER

What is the area of the region enclosed by 2|x| + 3|y| = 6 ?

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

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

Bunuel

05 May 2020, 04:35

58

4

7,825

by: bumpbot

24 Sep 2025, 15:21

ER

If -12 <= x <= 1 and -4 <= y <= 10, sum of minimum and maximum possibl

605-655 (Medium) | Absolute Values, Min-Max Problems

605-655 (Medium) | Absolute Values, Min-Max Problems hide tags

Bunuel

03 Feb 2020, 02:16

45

16

10,432

by: bumpbot

23 Sep 2025, 10:30

ER

If a, b are integers and |a-b|=8, which of the following is the smalle

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

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

MathRevolution

14 Jul 2016, 21:33

48

11

10,841

by: bumpbot

22 Sep 2025, 09:07

ER

If |20 − x| = 12, what is the sum of the two possible value of x?

Sub 505 (Easy) | Absolute Values

Sub 505 (Easy) | Absolute Values hide tags

Bunuel

16 Apr 2018, 05:39

4

5

4,774

by: bumpbot

20 Sep 2025, 15:15

ER

What is the sum of all integers x satisfying |x^2 - 5x| < 6 ?

705-805 (Hard) | Absolute Values, Inequalities

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

Bunuel

05 Mar 2020, 03:06

66

8

13,551

by: bumpbot

19 Sep 2025, 15:14

ER

If x/|x|<x which of the following must be true about x?

805+ (Hard) | Absolute Values +2 tags

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

1, 2, 3

christoph

19 Sep 2025, 12:56

605

41

103,110

by: Bunuel

19 Sep 2025, 12:54

ER

If |(x 3)^2 + 2| < |x 7| , which of the following expresses the al

655-705 (Hard) | Absolute Values, Inequalities

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

mikemcgarry

26 Nov 2016, 13:20

114

9

11,464

by: bumpbot

16 Sep 2025, 23:56

ER

If |x| < 20 and |x – 8| > |x + 4|, which of the following expresses th

555-605 (Medium) | Absolute Values, Inequalities

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

1, 2

mikemcgarry

25 Nov 2016, 11:44

230

20

19,816

by: bumpbot

16 Sep 2025, 21:09

ER

What is the sum of all possible integer values of p at which |6p + 33|

555-605 (Medium) | Absolute Values

555-605 (Medium) | Absolute Values hide tags

coreyander

01 Jun 2020, 03:25

53

4

12,444

by: bumpbot

11 Sep 2025, 23:36

ER

How many integers x are there so that |x-3.5 | < 2

505-555 (Easy) | Absolute Values, Inequalities

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

Bunuel

11 Nov 2014, 10:12

66

12

32,328

by: bumpbot

10 Sep 2025, 18:49

ER

If x 1 and (x^6)^(1/2) > x^3, what is the value of (|x| - 1)/(x - 1)

555-605 (Medium) | Absolute Values

555-605 (Medium) | Absolute Values hide tags

Bunuel

22 Apr 2024, 01:30

20

3

2,391

by: bumpbot

10 Sep 2025, 08:24

ER

What is the product of all the solutions of x^2 - 4x + 6=3

705-805 (Hard) | Absolute Values, Algebra

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

1, 2

Carcass

04 Jul 2018, 09:59

263

35

32,129

by: bumpbot

10 Sep 2025, 06:23

ER

How many ordered pairs (a, b) are solutions of the above system such t

555-605 (Medium) | Absolute Values, Inequalities

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

Bunuel

13 Apr 2021, 08:00

29

4

5,443

by: OreoMOMD

09 Sep 2025, 10:56

ER

If |x/y| < 1, then which of the following must be true?

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

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

Bunuel

25 Nov 2019, 03:04

74

10

12,338

by: bumpbot

09 Sep 2025, 07:38

ER

If z is an integer such that ||z - 30| - 43| = 62 which of the followi

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

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

AbdulMalikVT

21 Aug 2019, 20:24

31

4

7,677

by: bumpbot

06 Sep 2025, 07:14

ER

If (x^2)^(1/2)/(x^3)^(1/3) = -1and x 0, what is the value of

555-605 (Medium) | Absolute Values

555-605 (Medium) | Absolute Values hide tags

Bunuel

26 Apr 2024, 01:30

24

7

2,798

by: bumpbot

05 Sep 2025, 05:04

ER

If k^2 = m^2, which of the following must be true?

Sub 505 (Easy) | Absolute Values

Sub 505 (Easy) | Absolute Values hide tags

1, 2

Bunuel

14 Oct 2015, 21:24

201

21

64,133

by: Krunaal

04 Sep 2025, 23:24

ER

(x^2 - |x| - 12)/(x-3) >= 2x

555-605 (Medium) | Absolute Values, Inequalities

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

krishnasty

19 Nov 2010, 09:48

35

8

17,552

by: bumpbot

04 Sep 2025, 20:50

ER

If n is not 0, for how many integers is |n|^n = n * n

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

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

Hoozan

14 Feb 2021, 00:46

52

6

9,810

by: bumpbot

03 Sep 2025, 17:56

ER

For what values of x is |x - 4| - |x - 3| >= 7?

555-605 (Medium) | Absolute Values, Inequalities

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

Bunuel

02 Dec 2019, 01:30

83

9

11,705

by: PriyanshuR

02 Sep 2025, 08:43

ER

What is (x^2y^2)^1/2 if x < 0 and y > 0 ?

555-605 (Medium) | Absolute Values, Roots

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

nehamodak

17 Jul 2014, 01:04

364

16

31,957

by: bumpbot

02 Sep 2025, 02:34

A worker earns Tk. 250 on the first day and spends Tk. 200 o

555-605 (Medium) | Absolute Values

555-605 (Medium) | Absolute Values hide tags

ErrorLogZero

31 Aug 2025, 17:15

1

3

75

by: sherlocked221B

31 Aug 2025, 22:18

ER

If x is an integer divisible by 3 and y is a non-negative integer such

705-805 (Hard) | Absolute Values

705-805 (Hard) | Absolute Values hide tags

findingmyself

27 Aug 2025, 08:00

11

4

1,345

by: Kinshook

31 Aug 2025, 05:25

ER

If |cd| > cd, which of the following must be true?

Sub 505 (Easy) | Absolute Values, Inequalities

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

pintukr

31 Aug 2025, 04:09

4

1

1,198

by: Bunuel

31 Aug 2025, 04:07

ER

If x and y are integers such that |y + 3| 3 and 2y 3x + 6 = 0,

655-705 (Hard) | Absolute Values

655-705 (Hard) | Absolute Values hide tags

EgmatQuantExpert

31 Aug 2025, 02:19

105

17

19,191

by: bumpbot

31 Aug 2025, 02:18

ER

How many integer values of p are there such that |p - 3| < 4/3?

605-655 (Medium) | Absolute Values, Inequalities

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

Bunuel

01 Mar 2022, 03:01

24

8

8,184

by: bumpbot

30 Aug 2025, 00:28

ER

How many different values of y satisfy |y + 3| = |8 + y| + |4 - y| ?

705-805 (Hard) | Absolute Values, Algebra

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

Bunuel

03 Jul 2019, 08:00

186

12

14,457

by: bumpbot

28 Aug 2025, 11:41

ER

Which of the following satisfies all the values of x such that |x+1| +

Sub 505 (Easy) | Absolute Values, Inequalities

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

Bunuel

19 Jan 2022, 03:15

43

4

6,290

by: lisahoang1301

27 Aug 2025, 21:22

ER

If x < 0, a = b, and 5 - x = a, which of the following gives b in term

655-705 (Hard) | Absolute Values

655-705 (Hard) | Absolute Values hide tags

Bunuel

25 Mar 2025, 00:30

20

5

2,732

by: Strategix

27 Aug 2025, 03:36

ER

If |x + 2| = |x|, how many values of x satisfy this equation?

555-605 (Medium) | Absolute Values

555-605 (Medium) | Absolute Values hide tags

Bunuel

25 Apr 2024, 01:30

22

9

3,930

by: Bunuel

26 Aug 2025, 11:46

ER

What is the remainder when |5^{13} -6^{14}|

Sub 505 (Easy) | Absolute Values, Number Properties

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

EgmatQuantExpert

30 Jun 2024, 07:51

89

4

10,213

by: bumpbot

26 Aug 2025, 06:25

ER

What is the number of solutions of x = |x-|30-2x||?

705-805 (Hard) | Absolute Values

705-805 (Hard) | Absolute Values hide tags

MathRevolution

04 Jul 2019, 01:11

45

11

6,341

by: bumpbot

24 Aug 2025, 10:59

ER

What is the product of all roots of the equation (x + 1)^2 = |x + 1|?

555-605 (Medium) | Absolute Values, Algebra

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

Bunuel

24 Jan 2024, 02:30

19

4

3,168

by: bumpbot

21 Aug 2025, 06:15

ER

If |x – 1/5| < 3/5, then the number of integer values that x can take

555-605 (Medium) | Absolute Values, Inequalities

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

Raxit85

11 Feb 2020, 01:39

12

4

6,039

by: bumpbot

21 Aug 2025, 05:33

ER

If x is an integer, then the least possible value of |33−x^2| is

555-605 (Medium) | Absolute Values

555-605 (Medium) | Absolute Values hide tags

Bunuel

06 Apr 2018, 05:13

28

4

7,277

by: MANASH94

20 Aug 2025, 21:11

ER

If a and b are both integers, how many possible solutions are there to

655-705 (Hard) | Absolute Values

655-705 (Hard) | Absolute Values hide tags

u0422811

19 Jan 2015, 04:57

59

11

11,431

by: bumpbot

20 Aug 2025, 20:37

ER

For how many integer values of x will f(x) = |x - 3| + |x - 11| + |x -

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

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

Bunuel

10 Aug 2024, 21:45

33

4

2,608

by: bumpbot

20 Aug 2025, 08:15

ER

If x^2 - 7x + |k| = 0 has real roots. How many integer values can 'k'

705-805 (Hard) | Absolute Values, Algebra

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

Bunuel

31 Jan 2022, 08:15

33

4

6,762

by: bumpbot

20 Aug 2025, 07:22

ER

If |4x−4|=|2x+30|, which of the following could be a value of x?

555-605 (Medium) | Absolute Values

555-605 (Medium) | Absolute Values hide tags

Bunuel

04 May 2016, 01:46

65

11

14,738

by: bumpbot

18 Aug 2025, 02:47

ER

The dark purple region on the number line above is shown in its entire

605-655 (Medium) | Absolute Values, Inequalities

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

mikemcgarry

24 Nov 2016, 13:29

129

15

14,991

by: bumpbot

17 Aug 2025, 22:53

ER

If (|p|!)^p = |p|!, which of the following could be true?

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

555-605 (Medium) | Absolute Values, Exponents, Number Properties hide tags

Bunuel

21 Feb 2012, 22:40

116

5

21,988

by: ablatt4

16 Aug 2025, 10:46

ER

What is the sum of the different values of x such that |x+2| = 2|x-2|?

605-655 (Medium) | Absolute Values

605-655 (Medium) | Absolute Values hide tags

hugogva

27 Mar 2025, 00:26

231

14

25,930

by: anushree01

16 Aug 2025, 06:31

ER

What is the value of |f(x)| - |g(x)| + |f(g(x)| ?

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

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

1, 2

vinnik

31 Oct 2012, 04:04

139

28

21,731

by: MS26

15 Aug 2025, 02:23