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

323

12

152,250

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

312,579

by: Shashankksharma

17 Apr 2026, 02:55

ER

GMAT PS Question Directory by Topic & Difficulty

bb

16 Apr 2026, 14:28

3.3k

0

1,384,459

by: bb

16 Apr 2026, 14:28

[|2x-3/4|] = 5[/m] , where [x] denotes the greatest integer that is s

805+ (Hard) | Absolute Values, Algebra

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

nick1816

22 May 2021, 18:19

52

8

4,842

by: pankaj92

09 Aug 2025, 06:29

ER

4(xy)^3 + (x^3 y^3)^2 =

505-555 (Easy) | Algebra

505-555 (Easy) | Algebra hide tags

Bunuel

14 Oct 2025, 08:44

14

10

7,077

by: bumpbot

09 Aug 2025, 06:14

ER

If ( x – y – 2 )^2 + ( x + z + 3 )^2 = 0, then what is the value of y

655-705 (Hard) | Algebra

655-705 (Hard) | Algebra hide tags

MathRevolution

01 Feb 2019, 02:52

23

6

3,134

by: bumpbot

09 Aug 2025, 05:18

ER

Which expression is equivalent to 18^x + 12^x ?

555-605 (Medium) | Algebra, Exponents

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

AkshdeepS

01 Apr 2019, 22:54

13

6

3,784

by: bumpbot

08 Aug 2025, 21:27

ER

For which of the following values of a does (a + 4)(a + 3)(a + 2)(a +

605-655 (Medium) | Algebra

605-655 (Medium) | Algebra hide tags

Bunuel

19 Dec 2016, 05:29

34

5

4,060

by: bumpbot

08 Aug 2025, 12:54

ER

How many ordered pairs (m,n) exist in which m and n both are integers?

655-705 (Hard) | Absolute Values, Algebra

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

Bunuel

20 Nov 2022, 12:30

28

3

7,483

by: bumpbot

08 Aug 2025, 07:27

ER

If y and x are numbers such that x + y = 17 and 2x y = 6

505-555 (Easy) | Algebra

505-555 (Easy) | Algebra hide tags

Bunuel

06 Aug 2025, 22:00

7

5

859

by: Dereno

07 Aug 2025, 23:09

ER

What is the minimum value of f(n) = 2n^2 - 7n + 8, if n

605-655 (Medium) | Algebra +2 tags

605-655 (Medium) | Algebra, Functions and Custom Characters, Min-Max Problems hide tags

Bunuel

28 Mar 2023, 05:45

20

5

4,902

by: bumpbot

07 Aug 2025, 11:06

ER

An ordered triplet of integers (a, b, c) is called friendly, if each n

805+ (Hard) | Algebra

805+ (Hard) | Algebra hide tags

nick1816

18 Apr 2020, 04:55

11

6

2,727

by: Bunuel

07 Aug 2025, 06:59

ER

If P = |22x - x2 – 100|, where x is an integer, then what is the maxim

805+ (Hard) | Absolute Values +2 tags

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

Kritisood

01 May 2020, 00:38

60

9

7,920

by: Kinshook

07 Aug 2025, 03:23

ER

Which of the following are solutions to the equation (625x^416)=0?

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

Bunuel

05 Aug 2025, 22:00

7

3

669

by: Dereno

06 Aug 2025, 23:09

ER

If x + 1/x = √40 and x > 1, what is the value of x - 1/x ?

655-705 (Hard) | Algebra

655-705 (Hard) | Algebra hide tags

Bunuel

11 Nov 2021, 05:00

28

4

4,674

by: bumpbot

06 Aug 2025, 15:30

ER

The function g(x) is defined for integers x such that if x

805+ (Hard) | Algebra, Functions and Custom Characters

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

1, 2

bhandariavi

14 Feb 2011, 18:22

301

20

32,142

by: bumpbot

06 Aug 2025, 08:22

ER

If (3x2y)^2=ax^2+bxy+cy^2, what is the value of sum a+b+c?

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

Bunuel

04 Aug 2025, 22:00

4

1,537

by: Dereno

05 Aug 2025, 22:54

ER

As shown in the diagram above, a lever resting on a fulcrum has weight

Sub 505 (Easy) | Algebra, Word Problems

Sub 505 (Easy) | Algebra, Word Problems hide tags

Carcass

14 Apr 2024, 02:03

29

6

22,263

by: bumpbot

05 Aug 2025, 19:48

ER

If x = -3, what is the value of -3x^2 ?

Sub 505 (Easy) | Algebra, Arithmetic

Sub 505 (Easy) | Algebra, Arithmetic hide tags

Carcass

02 Jul 2017, 12:05

19

11

26,010

by: bumpbot

05 Aug 2025, 19:39

ER

List the negative integral values of x that render the algebraic expre

Sub 505 (Easy) | Algebra, Inequalities

Sub 505 (Easy) | Algebra, Inequalities hide tags

EgmatQuantExpert

26 Aug 2016, 02:36

46

12

13,155

by: bumpbot

05 Aug 2025, 14:38

ER

Find the value of x^3 + 8y^3 + z^3 in terms of x, y and z if x + 2y +

805+ (Hard) | Algebra

805+ (Hard) | Algebra hide tags

Bunuel

29 Nov 2021, 09:45

18

3

2,651

by: bumpbot

04 Aug 2025, 22:22

ER

If -4 is one solution to the equation x^2 + bx + c = 0, where b and c

605-655 (Medium) | Algebra

605-655 (Medium) | Algebra hide tags

LakerFan24

12 May 2020, 01:37

17

5

4,751

by: bumpbot

04 Aug 2025, 13:56

ER

If a, b, c, and d are consecutive integers and a < b < c < d, what is

505-555 (Easy) | Algebra

505-555 (Easy) | Algebra hide tags

Bunuel

22 Jan 2018, 01:54

36

11

10,806

by: bumpbot

04 Aug 2025, 09:16

ER

Of the following, which one is third greatest ?

505-555 (Easy) | Algebra

505-555 (Easy) | Algebra hide tags

Carcass

28 May 2017, 12:16

46

10

16,594

by: bumpbot

04 Aug 2025, 02:18

ER

If x/y = 1.2, what is the value of (x^2 - y^2)/(x^2 + y^2)?

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

Bunuel

18 Nov 2023, 06:20

16

3

2,608

by: bumpbot

03 Aug 2025, 11:24

ER

Suppose that |x + y| + |x -y| = 2. What is the maximum possible value

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

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

Bunuel

31 Mar 2019, 22:15

63

9

11,491

by: bumpbot

03 Aug 2025, 11:17

ER

If (x + 2)^2 = 9 and (y + 3)^2 = 25, then what is the maximum value of

605-655 (Medium) | Algebra, Min-Max Problems

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

Bunuel

11 Apr 2017, 23:46

36

7

24,889

by: bumpbot

03 Aug 2025, 09:48

ER

If n is a positive integer, which of the following is equivalent to n!

505-555 (Easy) | Algebra

505-555 (Easy) | Algebra hide tags

Bunuel

07 Aug 2023, 14:19

95

8

26,845

by: GmatKnightTutor

03 Aug 2025, 00:23

ER

[24+ 5(23)^1/2)]^1/2 + [24- 5(23)^1/2)]^1/2 lies between:

705-805 (Hard) | Algebra, Roots

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

mneeti

22 Jan 2025, 15:27

67

19

17,046

by: bumpbot

02 Aug 2025, 08:32

ER

How many different pairs (a, b) of positive integers are there such th

805+ (Hard) | Algebra

805+ (Hard) | Algebra hide tags

Bunuel

03 Apr 2020, 05:07

27

3

4,601

by: bumpbot

02 Aug 2025, 03:08

ER

Question of the Week- 22 (Jack and Jill have certain number of ....)

805+ (Hard) | Algebra, Inequalities

805+ (Hard) | Algebra, Inequalities hide tags

EgmatQuantExpert

11 Nov 2018, 19:11

57

5

13,140

by: bumpbot

02 Aug 2025, 02:46

ER

The cost of the fuel for running the engine of an army tank is proport

805+ (Hard) | Algebra, Word Problems

805+ (Hard) | Algebra, Word Problems hide tags

Bunuel

03 Dec 2020, 11:30

21

6

5,219

by: hsr071

01 Aug 2025, 21:22

ER

If k is an integer, and 35^2-1/k is an integer, then k could

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

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

dimitri92

10 Apr 2012, 11:50

146

16

27,714

by: bumpbot

01 Aug 2025, 11:48

ER

If x + y = k, then 3x^2 + 6xy + 3y^2 =

505-555 (Easy) | Algebra

505-555 (Easy) | Algebra hide tags

Bunuel

29 Jul 2025, 22:00

7

4

903

by: STgal

01 Aug 2025, 10:51

ER

If x ≠ 3, then x^2-6x+9/3-x is equivalent to which of the following?

505-555 (Easy) | Algebra

505-555 (Easy) | Algebra hide tags

Sajjad1994

24 Nov 2020, 02:35

6

3

3,271

by: bumpbot

01 Aug 2025, 09:59

ER

If z > 0, what is the ratio of x to z?

505-555 (Easy) | Algebra

505-555 (Easy) | Algebra hide tags

Carcass

29 Aug 2023, 09:51

6

2

2,003

by: bumpbot

01 Aug 2025, 09:21

ER

If abc = b^3 , which of the following must be true?

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

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

nikhilsrl

30 Mar 2012, 10:44

138

18

22,875

by: bumpbot

01 Aug 2025, 08:05

ER

How many of the positive integers less than 25 are 2 less than an inte

505-555 (Easy) | Algebra, Multiples and Factors

505-555 (Easy) | Algebra, Multiples and Factors hide tags

Bunuel

03 Aug 2019, 23:20

7

3

2,535

by: Leon685

01 Aug 2025, 03:33

ER

The sum of the roots of a quadratic equation is 3 and the sum of their

605-655 (Medium) | Algebra

605-655 (Medium) | Algebra hide tags

Bunuel

28 Feb 2023, 02:30

2

1,839

by: himssss29

31 Jul 2025, 12:21

ER

A 2-digit number is 3 times the sum of its digits. If 45 is added to

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

Bunuel

30 Jul 2021, 03:45

7

4

2,475

by: bumpbot

31 Jul 2025, 06:26

ER

If x + y = 7 and x - y = 5, what is the value of xy?

505-555 (Easy) | Algebra, Roots

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

Bunuel

18 Nov 2023, 06:39

28

3

4,073

by: Rahilgaur

30 Jul 2025, 23:14

ER

(400^(1/2))^3/2

Sub 505 (Easy) | Algebra +2 tags

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

Bunuel

03 Jan 2017, 02:43

10

5

5,407

by: bumpbot

30 Jul 2025, 20:41

ER

In a certain housing development, each garden has the shape

505-555 (Easy) | Algebra

505-555 (Easy) | Algebra hide tags

HarveyKlaus

28 Nov 2016, 11:18

33

5

11,548

by: bumpbot

30 Jul 2025, 07:06

ER

If a and b are integers and b ≠ 0 which of the following CANNOT equal

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

Bunuel

09 Nov 2015, 00:19

30

11

14,633

by: bumpbot

29 Jul 2025, 18:58

ER

If the average (arithmetic mean) of x, y, and z is 20, which of the fo

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

Bunuel

25 Nov 2018, 23:50

1

5

3,423

by: valrr

29 Jul 2025, 08:53

ER

If the quantity 5^2 + 5^4 + 5^6 is written as (a + b)(a b), in which

705-805 (Hard) | Algebra

705-805 (Hard) | Algebra hide tags

Bunuel

14 Sep 2015, 22:57

144

12

10,959

by: dhruvvvvvv

29 Jul 2025, 04:56

ER

If y is an even integer greater than 4, and x = y^2 - 2y, then which o

705-805 (Hard) | Algebra +2 tags

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

Bunuel

20 Jan 2020, 02:58

22

5

6,149

by: bumpbot

28 Jul 2025, 11:23

ER

The average (arithmetic mean) of x, y, and z is 50. What is the sum of

505-555 (Easy) | Algebra

505-555 (Easy) | Algebra hide tags

Bunuel

07 May 2019, 23:41

2

3

5,423

by: bumpbot

28 Jul 2025, 09:32

ER

If xy is not equal to 0, then which of the following is the equivalent

605-655 (Medium) | Algebra, Exponents

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

Bunuel

05 Sep 2017, 00:46

11

5

5,702

by: bumpbot

28 Jul 2025, 08:55

ER

If x is a positive integer greater than 1, what is the sum of the mult

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

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

Bunuel

03 Sep 2015, 02:29

121

10

13,212

by: bumpbot

28 Jul 2025, 04:45

ER

If f(x^2 – 1) = x^4 – 7x^2 + k1 and f(x^3 – 2) = x^6 – 9x^3 + k2, find

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

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

DisciplinedPrep

16 Sep 2019, 20:50

37

5

9,793

by: bumpbot

26 Jul 2025, 22:34

ER

What is the value of 1/(2 + 1) + 1/(3 + 2) + 1/(4 + 3) + +

655-705 (Hard) | Algebra +2 tags

655-705 (Hard) | Algebra, Arithmetic, Roots hide tags

Bunuel

28 Jun 2023, 03:00

37

2

5,270

by: bumpbot

26 Jul 2025, 11:11

ER

What is the value of the expression below:

655-705 (Hard) | Algebra, Roots

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

Bunuel

11 Jan 2022, 03:45

22

3

4,894

by: BrushMyQuant

26 Jul 2025, 05:20