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

151,804

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

312,302

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

1,383,521

by: bb

16 Apr 2026, 14:28

ER

Given: 4^(2t+1) - 4^(t+2) = 128, find t

705-805 (Hard) | Algebra, Exponents

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

NvrEvrGvUp

22 Jul 2022, 02:44

191

11

17,596

by: vallequalle

16 Mar 2026, 12:43

ER

If 72.42 = k(24+n/100), where k and n are positive integers and n <100

605-655 (Medium) | Algebra

605-655 (Medium) | Algebra hide tags

Bunuel

06 Feb 2019, 02:35

33

7

8,434

by: bumpbot

16 Mar 2026, 12:06

ER

Let P(n) and S(n) denote the product and the sum, respectively, of the

555-605 (Medium) | Algebra, Functions and Custom Characters

555-605 (Medium) | Algebra, Functions and Custom Characters hide tags

Bunuel

18 Mar 2019, 02:12

40

4

10,544

by: bumpbot

16 Mar 2026, 06:16

ER

If a and b are two different solutions of the equation x^2

705-805 (Hard) | Algebra

705-805 (Hard) | Algebra hide tags

kevincan

14 Mar 2026, 09:42

9

1

293

by: explicaboaperiam

14 Mar 2026, 20:42

ER

If x/y = 3, what is the value of (x + y)/(x 2y) ?

505-555 (Easy) | Algebra

505-555 (Easy) | Algebra hide tags

ExpertsGlobal5

11 Mar 2026, 21:56

5

3

488

by: ExpertsGlobal5

14 Mar 2026, 08:00

ER

If the difference between two positive numbers is 22 and the

655-705 (Hard) | Algebra

655-705 (Hard) | Algebra hide tags

CaptainLevi

25 Nov 2019, 04:35

41

11

7,126

by: Advait01

14 Mar 2026, 05:08

ER

If a is the integer portion of (11+72^(1/)^(1/2) and b is the decimal

805+ (Hard) | Algebra, Roots

805+ (Hard) | Algebra, Roots hide tags

Bunuel

27 Mar 2023, 11:45

26

4

3,074

by: bumpbot

14 Mar 2026, 02:48

ER

xy is a 2 digit number whose reverse, yx, is x less than twice xy.

655-705 (Hard) | Algebra, Multiples and Factors

655-705 (Hard) | Algebra, Multiples and Factors hide tags

gracie

09 Jul 2017, 21:37

36

5

5,196

by: bumpbot

14 Mar 2026, 02:28

ER

At how many points does the parabola y = 1/2*x^2 intersect the hyperbo

655-705 (Hard) | Algebra, Coordinate Geometry

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

Bunuel

22 Feb 2017, 01:47

36

7

6,912

by: Bunuel

14 Mar 2026, 00:33

ER

The positive integers from 1 up are arranged, as shown in the table.

605-655 (Medium) | Algebra

605-655 (Medium) | Algebra hide tags

MathRevolution

29 Aug 2020, 04:46

38

7

3,558

by: pappal

13 Mar 2026, 15:20

ER

What is the value of 82^2

655-705 (Hard) | Algebra

655-705 (Hard) | Algebra hide tags

kevincan

12 Mar 2026, 04:53

5

1

359

by: pappal

13 Mar 2026, 13:56

ER

For a sequence t_1, t_2, t_3, ..., S_n denotes the sum of the first n

805+ (Hard) | Algebra, Sequences

805+ (Hard) | Algebra, Sequences hide tags

Bunuel

15 May 2020, 01:09

31

16

5,994

by: bumpbot

13 Mar 2026, 13:21

ER

x and y are positive integers satisfying 0 < x - 3y < 1 and b is the d

705-805 (Hard) | Algebra

705-805 (Hard) | Algebra hide tags

MathRevolution

16 Apr 2020, 08:03

49

4

3,512

by: vallequalle

13 Mar 2026, 10:45

ER

Which of the following lines in the xy-plane does not

Sub 505 (Easy) | Algebra, Coordinate Geometry

Sub 505 (Easy) | Algebra, Coordinate Geometry hide tags

mymbadreamz

01 Jul 2018, 23:18

167

10

40,426

by: bumpbot

13 Mar 2026, 04:41

ER

If a, b and c are even integers, which of the following coul

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

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

rk21857

08 Mar 2011, 12:03

59

10

8,696

by: laborumplaceat

12 Mar 2026, 08:57

ER

What is the sum of the squares of the different solutions of

655-705 (Hard) | Algebra, Exponents

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

kevincan

23 Mar 2026, 08:11

6

2

378

by: Dereno

11 Mar 2026, 22:27

ER

If a+b=2c, a+c=b, and b+c=5a, what is the ratio of a:b:c?

555-605 (Medium) | Algebra, Fractions and Ratios

555-605 (Medium) | Algebra, Fractions and Ratios hide tags

Bunuel

09 Feb 2017, 06:01

75

18

14,478

by: bumpbot

11 Mar 2026, 19:55

ER

How many sets of positive integer solutions does the equation [m]2(x –

705-805 (Hard) | Algebra

705-805 (Hard) | Algebra hide tags

Bunuel

14 Jan 2022, 03:15

10

3

2,874

by: luisdicampo

11 Mar 2026, 08:24

ER

If P equals the product of all 20 numbers of the forum n/(n+1), where

505-555 (Easy) | Algebra, Arithmetic

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

guddo

27 Jan 2024, 03:08

43

2

7,605

by: bumpbot

11 Mar 2026, 08:22

Which of the following is equal to the average (arithmetic mean) of (x

Sub 505 (Easy) | Algebra, Statistics and Sets Problems

Sub 505 (Easy) | Algebra, Statistics and Sets Problems hide tags

jsphcal

16 Jun 2012, 20:42

18

9

21,286

by: bumpbot

11 Mar 2026, 08:16

ER

If n=1 and (m-n)/p=2 then which of the following is not a

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

HBSdetermined

09 Mar 2024, 03:45

26

17

6,494

by: luisdicampo

11 Mar 2026, 07:08

ER

If x - 7 = x + 7, x = ?

655-705 (Hard) | Algebra

655-705 (Hard) | Algebra hide tags

Bunuel

15 Jun 2023, 11:00

28

2

2,887

by: luisdicampo

11 Mar 2026, 06:55

ER

What is the value of integer n if (√(16/(10^n)))^2 = 0.04^2

555-605 (Medium) | Algebra, Roots

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

EBITDA

09 Aug 2016, 05:53

41

14

15,516

by: bumpbot

11 Mar 2026, 06:12

ER

Each of the following linear equations defines y as a function of x

655-705 (Hard) | Algebra

655-705 (Hard) | Algebra hide tags

Raj30

22 May 2019, 08:49

36

4

14,904

by: KarishmaB

11 Mar 2026, 05:56

ER

A set of 15 different integers has median of 25 and a range

655-705 (Hard) | Algebra, Statistics and Sets Problems

655-705 (Hard) | Algebra, Statistics and Sets Problems hide tags

1, 2

bhushangiri

14 Aug 2014, 01:15

728

37

141,930

by: shwetakoshija

11 Mar 2026, 03:29

ER

Let A, M, and C be nonnegative integers such that A + M + C = 12. What

605-655 (Medium) | Algebra

605-655 (Medium) | Algebra hide tags

Bunuel

15 Mar 2019, 01:47

8

4

5,645

by: luisdicampo

11 Mar 2026, 03:27

ER

If integers p, q and r are the roots of the equation x^3 - 7x^2 + 12x

655-705 (Hard) | Algebra

655-705 (Hard) | Algebra hide tags

Bunuel

01 Dec 2022, 11:15

2

1,590

by: luisdicampo

11 Mar 2026, 03:22

ER

How many solutions does 1/[x*(x + 1)] + 1/[x*(x + 2)] = 1/(x +1) have?

655-705 (Hard) | Algebra

655-705 (Hard) | Algebra hide tags

Bunuel

28 Oct 2021, 08:00

7

4

2,848

by: luisdicampo

11 Mar 2026, 03:20

ER

If a + b = x, and a b = y, then ab =

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

Bunuel

23 Oct 2024, 01:30

10

4

1,832

by: bumpbot

11 Mar 2026, 03:18

ER

x is a positive integer divisible by 4; as x increases from 1824 to 18

655-705 (Hard) | Algebra, Number Properties

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

Bunuel

19 Dec 2019, 00:21

21

10

5,133

by: luisdicampo

11 Mar 2026, 03:00

ER

The difference of two negative numbers is 2. If the greater of the two

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

EgmatQuantExpert

19 Jun 2019, 06:46

20

4

4,571

by: bumpbot

10 Mar 2026, 20:17

ER

If x^2 > y^2, then (x^4 - 2x^2y^2 + y^4)^(1/2)/(x + y) =

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

guddo

24 Jan 2024, 09:45

35

19

12,974

by: repellaterror

10 Mar 2026, 19:06

ER

In the equation n^2 kn + 16 = 0, n is an integer. Which of the

655-705 (Hard) | Algebra

655-705 (Hard) | Algebra hide tags

Bunuel

23 Mar 2023, 01:30

8

4

3,152

by: bumpbot

10 Mar 2026, 17:23

ER

If the expression x=sqrt(2+sqrt(2+sqrt(2+sqrt(2+...) extends to an

555-605 (Medium) | Algebra, Roots

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

jakolik

13 Mar 2019, 04:00

326

15

171,843

by: velvetwhisper

10 Mar 2026, 09:50

If x and y are integers such that x 2 + y 2 = 100

805+ (Hard) | Algebra, Combinations

805+ (Hard) | Algebra, Combinations hide tags

HarshaBujji

04 Jan 2025, 19:16

15

3

1,516

by: bumpbot

10 Mar 2026, 08:19

ER

What is the minimum value of the function f(x) = x^2 9x 11 for

655-705 (Hard) | Algebra, Min-Max Problems

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

sahilsahh

14 Jul 2024, 10:20

24

5

2,260

by: bumpbot

10 Mar 2026, 08:13

ER

If x and y are distinct positive integers, such that (2^x)(16^(x-1)) =

655-705 (Hard) | Algebra, Exponents

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

niteshwaghray

25 May 2017, 14:08

26

9

5,595

by: luisdicampo

10 Mar 2026, 07:44

ER

√243 + √75 =

Sub 505 (Easy) | Algebra, Roots

Sub 505 (Easy) | Algebra, Roots hide tags

Bunuel

18 May 2021, 08:45

6

2,529

by: bumpbot

09 Mar 2026, 16:45

ER

What is the minimum possible value of the sum of the squares of the ro

805+ (Hard) | Algebra, Min-Max Problems

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

Bunuel

03 Apr 2020, 04:42

31

7

6,186

by: bumpbot

09 Mar 2026, 14:53

ER

A positive number x is multiplied by 3, and this product is then divid

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

Bunuel

21 Aug 2019, 01:31

2

4

2,450

by: bumpbot

09 Mar 2026, 03:15

ER

Which of the following cannot be the factor of x4 + 10x3 + 35x2 + 50x

655-705 (Hard) | Algebra

655-705 (Hard) | Algebra hide tags

MathRevolution

22 Dec 2016, 01:11

67

6

6,411

by: Advait01

09 Mar 2026, 00:17

ER

If 1/(x(x - 1)) + 1/(x(x+1)) = 1/((x+1)(x-1)), what is the value of x?

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

Bunuel

05 Apr 2023, 06:45

6

3

3,025

by: bumpbot

08 Mar 2026, 15:46

ER

Which of the following are roots of an equation 10x^{-2}+x^{-1}-21=0

655-705 (Hard) | Algebra, Exponents

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

MathRevolution

08 Nov 2018, 01:45

17

5

3,850

by: bumpbot

08 Mar 2026, 12:43

ER

Which of the following are roots of an equation x^(-2) + 2x^(-1) -15=0

605-655 (Medium) | Algebra, Exponents

605-655 (Medium) | Algebra, Exponents hide tags

Bunuel

16 Jun 2023, 03:00

10

4

2,772

by: Advait01

08 Mar 2026, 03:01

ER

If 7! + 8! + 9! = a and 11! - 10! - 9! = a * b, what is the value of

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

Bunuel

28 Feb 2026, 00:54

10

6

578

by: Bunuel

08 Mar 2026, 03:00

ER

In the table above, what is the number of green marbles in Jar R ?

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

Bunuel

01 Oct 2012, 05:11

74

19

34,617

by: bumpbot

08 Mar 2026, 01:39

ER

If x = (3^(1/2) +1)/(3^(1/2) - 1), what is x - 1/x?

555-605 (Medium) | Algebra +2 tags

555-605 (Medium) | Algebra, Arithmetic, Roots hide tags

Bunuel

31 Jul 2023, 11:45

13

4

3,731

by: bumpbot

07 Mar 2026, 05:11

ER

Which of the following is equivalent to (2x + 4)/(2x^2 + 8x + 8)

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

GMATinsight

06 Jun 2017, 01:39

21

7

17,201

by: Shivam2027

06 Mar 2026, 06:18

ER

If c is a nonnegative constant, how many real number values for x sat

805+ (Hard) | Algebra

805+ (Hard) | Algebra hide tags

gmatophobia

17 Feb 2024, 07:59

109

16

13,746

by: kartickdey

06 Mar 2026, 06:09

ER

Sathvika travels p% of the distance between Adyar and Annanagar at 60

655-705 (Hard) | Algebra +2 tags

655-705 (Hard) | Algebra, Distance and Speed Problems, Percent and Interest Problems hide tags

Bunuel

17 Feb 2022, 07:45

19

2

6,338

by: luisdicampo

06 Mar 2026, 04:29