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

324

12

152,687

by: ekfdskfe

13 Jul 2025, 19:03

ER

100 Hardest and easiest questions for PS as of April 2026

Bunuel

01 Jan 2026, 05:45

1.2k

8

312,834

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

1,385,419

by: bb

16 Apr 2026, 14:28

ER

A, B and C are partners. A receives 2/3 of profit, B and C

655-705 (Hard) | Algebra, Fractions and Ratios, Percent and Interest Problems hide tags

jackfr2

15 Apr 2019, 06:21

87

14

24,312

by: anirchat

22 Feb 2025, 12:11

ER

Two positive integers differ by 4, and sum of their reciprocals is 10/

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

feruz77

26 Oct 2010, 02:40

9

5

16,894

by: muhammaddk92

22 Feb 2025, 12:06

ER

What is the least value of x for which (3x + 2)(2x + 1) - (4x + 1)

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

guddo

30 Jan 2024, 10:50

15

2

5,513

by: bumpbot

22 Feb 2025, 00:00

ER

Given that Z, R, XL, XC are positive and satisfy Z = \sqrt{R^2 + (X_L

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

guddo

24 Jan 2024, 09:20

11

3

4,282

by: bumpbot

21 Feb 2025, 23:51

ER

If 3A = 4B = 5C = 6D and A + B + C + D = 1026, find the values of A, B

655-705 (Hard) | Algebra, Fractions and Ratios

655-705 (Hard) | Algebra, Fractions and Ratios hide tags

Bunuel

26 Dec 2019, 02:27

38

8

11,374

by: bumpbot

21 Feb 2025, 23:11

ER

z*z^(1/2) =

Sub 505 (Easy) | Algebra +2 tags

Sub 505 (Easy) | Algebra, Exponents, Roots hide tags

guddo

25 Jan 2024, 01:40

10

2

4,116

by: bumpbot

19 Feb 2025, 21:43

ER

Which of the following is equal to

505-555 (Easy) | Algebra

505-555 (Easy) | Algebra hide tags

yrozenblum

02 Nov 2023, 15:16

14

3

4,317

by: bumpbot

19 Feb 2025, 21:29

ER

For what values of K the quadratic equation (K + 1)x^2 – 2(K – 1)x + 1

655-705 (Hard) | Algebra

655-705 (Hard) | Algebra hide tags

Bunuel

01 Feb 2021, 07:15

22

7

4,523

by: bumpbot

19 Feb 2025, 15:17

ER

Claudia has 12 coins, each of which is a 5-cent coin or a 10-cent coin

805+ (Hard) | Algebra

805+ (Hard) | Algebra hide tags

Bunuel

25 Apr 2019, 02:12

41

10

6,771

by: HarshavardhanR

18 Feb 2025, 23:45

ER

If x + y = 2 and x^2 + y^2 = 2, what is the value of xy ?

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

Bunuel

26 Sep 2016, 05:01

80

17

34,649

by: bumpbot

18 Feb 2025, 09:17

ER

If k = 19!/16!, which of the following is the smallest choice that do

505-555 (Easy) | Algebra +2 tags

505-555 (Easy) | Algebra, Exponents, Min-Max Problems hide tags

Bunuel

13 Jul 2021, 03:30

27

3

6,835

by: bumpbot

17 Feb 2025, 10:52

ER

(3^9 - 3^8)(3^7 - 3^6) =

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

Bunuel

15 Jan 2018, 06:32

6

3

2,718

by: bumpbot

17 Feb 2025, 07:44

ER

If x > 0 and x percent of a is b, then, in terms of x, a is how many

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

Bunuel

03 Jan 2016, 12:40

11

8

4,781

by: Bunuel

16 Feb 2025, 23:45

The function f is defined above. Which of the following equivalent for

655-705 (Hard) | Algebra

655-705 (Hard) | Algebra hide tags

Arick

05 Jun 2023, 19:05

18

5

5,013

by: Simsim34

16 Feb 2025, 04:09

ER

If g is a function defined for all x by g(x) = x^4/16, then what is

505-555 (Easy) | Algebra, Functions and Custom Characters

505-555 (Easy) | Algebra, Functions and Custom Characters hide tags

Bunuel

03 May 2017, 04:26

32

8

11,029

by: bumpbot

14 Feb 2025, 03:50

ER

If (x − y)(x + y) = 143, and (x − y) and (x + y) are prime, what is th

655-705 (Hard) | Algebra, Number Properties

655-705 (Hard) | Algebra, Number Properties hide tags

Bunuel

22 Oct 2020, 11:43

22

9

3,470

by: HarshavardhanR

13 Feb 2025, 22:15

ER

What is the product of the factors of twice the sum of the roots of th

605-655 (Medium) | Algebra, Multiples and Factors

605-655 (Medium) | Algebra, Multiples and Factors hide tags

Bunuel

10 Dec 2018, 00:49

11

4

4,544

by: bumpbot

13 Feb 2025, 20:55

ER

A single filter reduces the concentration of harmful substances in

655-705 (Hard) | Algebra, Word Problems

655-705 (Hard) | Algebra, Word Problems hide tags

honchos

25 Dec 2014, 13:52

43

7

11,228

by: bumpbot

13 Feb 2025, 18:54

ER

If S = 2001/(2*3) + 2001/(3*4) + 2001/(4*5) + ... + 2001/(19*20), what

705-805 (Hard) | Algebra

705-805 (Hard) | Algebra hide tags

Bunuel

04 Sep 2007, 12:35

23

4

2,726

by: bumpbot

12 Feb 2025, 22:50

ER

(a^4 + 1)/a^2 =

605-655 (Medium) | Algebra

605-655 (Medium) | Algebra hide tags

Bunuel

15 Nov 2019, 01:42

12

5

6,085

by: bumpbot

12 Feb 2025, 19:49

ER

7^3 + 21^3 =

555-605 (Medium) | Algebra, Exponents

555-605 (Medium) | Algebra, Exponents hide tags

Bunuel

13 Feb 2017, 03:16

73

13

10,937

by: bumpbot

12 Feb 2025, 14:58

ER

If a, b, and c are three different numbers and x/(b - c) = y/(c - a) =

655-705 (Hard) | Algebra

655-705 (Hard) | Algebra hide tags

Bunuel

07 Apr 2019, 21:33

18

7

4,572

by: Alingan

11 Feb 2025, 12:25

ER

If n is a positive integer and k + 2 = 3^n, which of the following

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

Bunuel

17 Mar 2014, 00:20

41

18

30,785

by: bumpbot

10 Feb 2025, 19:30

ER

What is the larger of the 2 solutions of the equation x^2 − 4x = 96 ?

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

AbdurRakib

23 Jun 2016, 12:21

57

18

26,912

by: bumpbot

10 Feb 2025, 19:03

ER

If and are the roots of the equation K^2x^2 + (Kx + 1)(x + K) + 1

655-705 (Hard) | Algebra

655-705 (Hard) | Algebra hide tags

Bunuel

03 Mar 2021, 01:15

29

3

3,490

by: Apoorva800

10 Feb 2025, 06:30

ER

If (a+b)^x=a^x + y(a^(x-1)*b^(x-4)) + z(a^(x-2)*b^(x-3)) + z(a^(x-3)*^

805+ (Hard) | Algebra, Exponents

805+ (Hard) | Algebra, Exponents hide tags

Bunuel

06 Nov 2014, 09:09

92

10

9,675

by: bumpbot

10 Feb 2025, 06:03

ER

If (x - 1)^(1/2) - 7 = -x, then x is equal then x is equal to which of

655-705 (Hard) | Algebra

655-705 (Hard) | Algebra hide tags

Bunuel

02 Dec 2021, 06:00

8

4

2,335

by: bumpbot

09 Feb 2025, 10:10

ER

If n = 1(1!) + 2(2!) + 3(3!) + 4(4!) + ... + 50(50!) and p is the smal

705-805 (Hard) | Algebra, Number Properties

705-805 (Hard) | Algebra, Number Properties hide tags

Bunuel

18 May 2020, 11:19

85

8

7,129

by: bumpbot

09 Feb 2025, 07:49

ER

If a and b are both greater than 1, then (√a^2b)(√ab^2) =

Sub 505 (Easy) | Algebra, Exponents

Sub 505 (Easy) | Algebra, Exponents hide tags

jotapepe

02 Nov 2021, 22:49

9

6

5,326

by: ManifestDreamMBA

08 Feb 2025, 13:20

ER

If (2x + a)(2x + b) = 4x^2 4x + ab, then a + b = ?

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

Bunuel

26 Apr 2022, 02:15

3

2

1,432

by: bumpbot

08 Feb 2025, 05:56

ER

If x, y and z are three different non-negative integers, which of the

805+ (Hard) | Absolute Values +2 tags

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

BrentGMATPrepNow

17 Jun 2019, 09:25

43

5

7,266

by: bumpbot

07 Feb 2025, 22:21

ER

If 3^(3 + 6 + 9 + … + 3x) = (37/999)^(-66), what is the value of x?

655-705 (Hard) | Algebra +2 tags

655-705 (Hard) | Algebra, Exponents, Number Properties hide tags

Bunuel

21 Apr 2020, 09:01

30

3

10,538

by: bumpbot

06 Feb 2025, 18:15

For what value of x ... is x^2 - 12x + 32 the greatest ?

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

shishimaru

06 Feb 2025, 09:54

1

577

by: ManifestDreamMBA

06 Feb 2025, 10:10

ER

If xyz 0, which of the following is equivalent to

505-555 (Easy) | Algebra

505-555 (Easy) | Algebra hide tags

guddo

26 Jan 2024, 04:10

12

3

6,248

by: bumpbot

06 Feb 2025, 07:53

ER

Given 2x + 2y = 6z, 2x - 2y = 2z and y - z = 0, how many unique

655-705 (Hard) | Algebra

655-705 (Hard) | Algebra hide tags

Bunuel

16 Jun 2023, 00:03

10

4

3,991

by: bumpbot

06 Feb 2025, 07:33

ER

If 2x^5 14x^4 + 31x^3 64x^2 + 19x + 130 = 0, then which of the fol

705-805 (Hard) | Algebra, Arithmetic

705-805 (Hard) | Algebra, Arithmetic hide tags

Bunuel

09 Mar 2020, 03:18

60

9

8,649

by: bumpbot

05 Feb 2025, 17:52

ER

If a and b are positive integers such that a^2 + 2b = b^2 + 2a + 5, fi

705-805 (Hard) | Algebra

705-805 (Hard) | Algebra hide tags

Bunuel

15 Jun 2021, 05:45

23

4

7,715

by: GmatStuck

05 Feb 2025, 13:16

ER

For all real numbers b and c such that the product of c and 3 is b, wh

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

Bunuel

28 Oct 2021, 07:15

4

3

2,466

by: bumpbot

05 Feb 2025, 09:26

ER

If x and y are positive integers such that 3x + 4y = 24, what is the

505-555 (Easy) | Algebra

505-555 (Easy) | Algebra hide tags

Gmat750aspirant

01 Feb 2025, 09:05

12

4

1,594

by: ManifestDreamMBA

05 Feb 2025, 05:27

ER

If f(x) = x + x^2/(3x) + 4, which of the following numbers CANT be in

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

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

ShilpiAgnihotrii

04 Feb 2025, 10:44

13

9

1,481

by: KarishmaB

04 Feb 2025, 21:58

ER

In the xy-plane, at how many points do line y = 6 and curve y = |x^2-

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

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

Bunuel

04 Oct 2022, 14:21

24

6

4,369

by: mohammedturk

04 Feb 2025, 13:21

ER

(x^2/36 + x^2/25)^(1/2) =

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

Bunuel

14 Oct 2021, 03:30

3

5

1,682

by: Bunuel

04 Feb 2025, 01:06

ER

If (2x + 1)^2 = 100, then which one of the following COULD equal x ?

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

vikasp99

14 Jul 2022, 06:32

10

5

6,081

by: bumpbot

02 Feb 2025, 08:30

ER

If the roots of the equation (x + 1)(x + 9) + 8 = 0 are a and b, then

705-805 (Hard) | Algebra

705-805 (Hard) | Algebra hide tags

Bunuel

07 Dec 2021, 09:15

14

2

2,757

by: bumpbot

02 Feb 2025, 04:31

ER

If 154 is 37/50 of x, approximately what is the value of 2x?

505-555 (Easy) | Algebra, Arithmetic

505-555 (Easy) | Algebra, Arithmetic hide tags

Bunuel

04 Mar 2022, 09:45

14

3

4,923

by: bumpbot

02 Feb 2025, 03:10

ER

The sum of two integers is x. If the larger integer is greater than

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

Bunuel

31 Mar 2022, 08:15

6

2

2,136

by: bumpbot

01 Feb 2025, 09:51

A ball is thrown up from a height of 3 feet above the ground

605-655 (Medium) | Algebra

605-655 (Medium) | Algebra hide tags

gasserlo69

27 Jan 2025, 07:26

4

3

1,260

by: zooby

01 Feb 2025, 09:42

ER

The roots of px^2 + qx + 2 = 0, where p and q are constants and x is a

605-655 (Medium) | Algebra

605-655 (Medium) | Algebra hide tags

Bunuel

02 Mar 2020, 04:47

20

8

3,292

by: Krunaal

31 Jan 2025, 13:32

ER

If y^2 = 3z^3 and 2z = 4, what is the value of y^2 + z ?

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

Bunuel

31 Jan 2025, 01:30

3

1,167

by: Gmat750aspirant

31 Jan 2025, 09:45

ER

How many different solutions the equation (x^4 - 1)/(x^2 - 1) = 2 have

705-805 (Hard) | Algebra

705-805 (Hard) | Algebra hide tags

robypeter

30 Jan 2017, 16:40

26

5

3,922

by: bumpbot

31 Jan 2025, 00:33