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

151,915

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

312,361

by: Shashankksharma

17 Apr 2026, 02:55

ER

GMAT PS Question Directory by Topic & Difficulty

bb

16 Apr 2026, 14:28

3.3k

0

1,383,732

by: bb

16 Apr 2026, 14:28

ER

The inequality 25(x + 1) > 29(x + 3) − 46 is true if and only of which

505-555 (Easy) | Algebra, Inequalities

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

CAMANISHPARMAR

21 Jan 2020, 00:35

6

3

3,078

by: bumpbot

25 Oct 2025, 06:29

ER

Find the range of values of x such that (x-5)^3 (2-4x) < 0

655-705 (Hard) | Algebra, Inequalities

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

EgmatQuantExpert

27 Aug 2025, 10:39

71

12

10,506

by: bumpbot

25 Oct 2025, 05:15

ER

If (x + y)^(1/2) = 4 and x^(1/2) – y^(1/2) = 0, what is x?

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

Bunuel

30 Mar 2016, 04:04

3

4

2,909

by: bumpbot

25 Oct 2025, 04:00

ER

Given that ∣x∣≠1, the expression 1/(x+1)+1/(x−1) is equivalent to whic

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

Bunuel

20 Feb 2017, 02:34

2

8

6,718

by: bumpbot

25 Oct 2025, 03:37

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

8,283

by: bumpbot

25 Oct 2025, 03:14

ER

What must be added to (x + y)/2 to obtain (x - y)/2?

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

Bunuel

31 Mar 2022, 06:30

1

2

1,889

by: bumpbot

25 Oct 2025, 02:14

ER

If one of the roots of the equation 2x^2 + (3k + 4)x + (9k^2 3k 1)

805+ (Hard) | Algebra

805+ (Hard) | Algebra hide tags

Bunuel

15 Jun 2022, 01:31

7

6

3,548

by: pappal

24 Oct 2025, 12:33

ER

If a and b are integers, and if 3 ( a b ) 2 + 5 b 2 = 48 , which of

705-805 (Hard) | Algebra

705-805 (Hard) | Algebra hide tags

siddhantvarma

10 Jun 2025, 23:26

14

4

1,842

by: N0BU

24 Oct 2025, 07:15

ER

xyz=2, what is the value of x/(xy+x+2) + y/(yz+y+1) + 2z/(zx+2

705-805 (Hard) | Algebra

705-805 (Hard) | Algebra hide tags

MathRevolution

27 Sep 2019, 01:16

48

4

4,648

by: bumpbot

23 Oct 2025, 23:24

ER

A train traveled at a constant speed for 180 miles

555-605 (Medium) | Algebra, Distance and Speed Problems

555-605 (Medium) | Algebra, Distance and Speed Problems hide tags

GMATNinja

18 Apr 2022, 13:41

34

7

7,015

by: bumpbot

23 Oct 2025, 03:10

ER

If y = (x – 5)^2 + (x + 1)^2 – 6, then y is least when x =

555-605 (Medium) | Algebra, Min-Max Problems

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

1, 2

Bunuel

29 Jul 2015, 15:49

279

20

31,052

by: steffe440

23 Oct 2025, 02:14

ER

a is inversely proportional to b. Also, it is given that a = 24 when

Sub 505 (Easy) | Algebra, Fractions and Ratios

Sub 505 (Easy) | Algebra, Fractions and Ratios hide tags

Bunuel

22 Jun 2021, 07:15

10

3

2,493

by: bumpbot

23 Oct 2025, 00:46

ER

What are the values of K for which the equation (3K + 1)x^2 + 2(K + 1)

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

Bunuel

03 Mar 2023, 02:30

12

3

2,527

by: bumpbot

22 Oct 2025, 22:44

ER

For all values of x where x > 2, which of the following is equivalent

505-555 (Easy) | Algebra

505-555 (Easy) | Algebra hide tags

Bunuel

23 Nov 2016, 06:51

15

6

4,424

by: bumpbot

22 Oct 2025, 22:23

ER

Given that (p - 3 )^2 - 5=0, what is p?

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

Chris2

26 Oct 2025, 23:30

10

4,949

by: bumpbot

22 Oct 2025, 22:19

ER

A quadratic equation ax^2+bx+c=0 has two integral roots x1 and

805+ (Hard) | Algebra, Roots

805+ (Hard) | Algebra, Roots hide tags

mangamma

25 Apr 2019, 10:04

99

14

9,740

by: plpurva

22 Oct 2025, 22:19

ER

2^(1/2)/4 + 3/(2*2^(1/2)) =

505-555 (Easy) | Algebra, Roots

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

guddo

24 Jan 2024, 08:42

32

4

7,309

by: Bunuel

22 Oct 2025, 06:02

ER

For what value of x between -1 and 5

555-605 (Medium) | Algebra, Min-Max Problems

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

saswata4s

09 Oct 2017, 10:29

12

6

3,344

by: bumpbot

22 Oct 2025, 04:36

ER

GMAT CLUB OLYMPICS: If 1/5*4^(1/2) +

805+ (Hard) | Algebra

805+ (Hard) | Algebra hide tags

Bunuel

17 Aug 2021, 08:00

67

8

8,364

by: bumpbot

21 Oct 2025, 07:51

ER

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

555-605 (Medium) | Algebra, Exponents

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

Bunuel

03 Feb 2021, 03:44

17

5

3,564

by: bumpbot

20 Oct 2025, 21:51

ER

If 2 is a root of the equation x^2 + kx + 12 = 0 and the equation x^2

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

Bunuel

29 Jan 2021, 23:21

7

3,580

by: bumpbot

20 Oct 2025, 21:30

ER

Rank these three quantities from least to greatest.

655-705 (Hard) | Algebra, Arithmetic

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

Bunuel

23 Oct 2018, 04:02

21

3

5,614

by: bumpbot

19 Oct 2025, 03:15

ER

If 2/3 and (-3) are the two roots of the quadratic equation ax^2 + 7x

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

Bunuel

01 Feb 2021, 04:45

9

3

1,986

by: bumpbot

18 Oct 2025, 07:07

ER

If (x - y) = √20 and (x + y) = √12 what is the value of x^2 – y^2 ?

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

Bunuel

22 Jun 2021, 06:30

5

2

2,267

by: bumpbot

18 Oct 2025, 06:49

ER

In the equation ax^2 + bx + c = 0 a, b, and c are constants,

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

alex1233

06 Mar 2013, 01:44

24

5

13,221

by: bumpbot

17 Oct 2025, 14:44

ER

x^6 - y^6 =

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

Bunuel

18 Nov 2014, 08:41

44

16

9,662

by: bumpbot

17 Oct 2025, 14:36

ER

If y = x - 3, and x^2 - 5y^2 + 4xy - 15 = 0, then x + 2y =

605-655 (Medium) | Algebra

605-655 (Medium) | Algebra hide tags

BrentGMATPrepNow

13 Oct 2016, 08:40

52

12

9,490

by: bumpbot

17 Oct 2025, 09:52

ER

A quadratic function f(x) attains a max of 3 at x =1, the

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

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

xcusemeplz2009

03 Feb 2012, 05:25

120

16

55,446

by: Regor60

17 Oct 2025, 06:41

ER

If x and y are positive numbers such that xy^3 = 2, what is the

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

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

Bunuel

09 Aug 2024, 21:45

17

5

2,527

by: bumpbot

17 Oct 2025, 06:25

ER

What is the equation where roots are (p + mq) and (q + mp), if p and q

705-805 (Hard) | Algebra

705-805 (Hard) | Algebra hide tags

Bunuel

10 Feb 2023, 02:30

20

4

2,677

by: egmat

17 Oct 2025, 05:12

ER

If f(x)=3xx and g(x)=x^2, what is f(g(4))?

Sub 505 (Easy) | Algebra, Functions and Custom Characters

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

Bunuel

09 Dec 2015, 08:26

7

6

9,027

by: bumpbot

16 Oct 2025, 22:54

ER

If a = 2^(1/2) - 1 and b = 1, which of the following is equal to

505-555 (Easy) | Algebra

505-555 (Easy) | Algebra hide tags

MasteringGMAT

02 Jul 2023, 06:53

87

7

20,813

by: bumpbot

16 Oct 2025, 13:29

ER

If f(x) = 5x^3 - 2x + 8 and g(y) = 6y - 4, then g(f(x)) =

Sub 505 (Easy) | Algebra, Functions and Custom Characters

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

dzodzo85

23 Apr 2012, 05:33

19

4

15,043

by: bumpbot

16 Oct 2025, 10:07

ER

If 5x = 6y and xy ≠ 0, what is the ratio of 1/5*x to 1/6*y ?

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

Bunuel

05 Nov 2015, 12:32

36

9

12,866

by: bumpbot

16 Oct 2025, 08:58

ER

The temperature inside a certain industrial machine at time

655-705 (Hard) | Algebra

655-705 (Hard) | Algebra hide tags

1, 2

oss198

17 Aug 2014, 09:31

191

23

29,609

by: bumpbot

15 Oct 2025, 21:51

ER

How many values of x satisfy

605-655 (Medium) | Algebra, Exponents

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

GMATNinja

12 Feb 2024, 09:47

19

4

3,704

by: Demonicgod

15 Oct 2025, 19:18

ER

If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

Bunuel

21 Feb 2014, 01:03

22

6

23,274

by: bumpbot

15 Oct 2025, 09:42

ER

For what value of x between -5 and 1 inclusive, the value of 6x^2-x^4

655-705 (Hard) | Algebra +2 tags

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

kiran120680

14 Mar 2019, 09:40

45

13

6,681

by: bumpbot

14 Oct 2025, 22:56

ER

If the algorithm above is applied, assigning 100 as the value of x and

705-805 (Hard) | Algebra

705-805 (Hard) | Algebra hide tags

Swagatalaxmi

10 Apr 2024, 05:45

83

9

14,433

by: bumpbot

14 Oct 2025, 13:08

ER

If 2x + 5y = 103, then how many pairs of (x, y), where x and y are pos

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

Bunuel

29 May 2020, 03:54

40

17

16,368

by: bumpbot

14 Oct 2025, 09:36

ER

If p and q are roots of x^2 + 7x + 12 = 0, then the equation whose roo

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

Bunuel

23 Jun 2021, 05:45

7

2

3,149

by: bumpbot

14 Oct 2025, 06:30

ER

Sam has $63 bills in $5 bills and $1 bills. Which of the following

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

houston1980

29 Jun 2023, 20:13

31

3

10,618

by: bumpbot

14 Oct 2025, 05:44

ER

GMAT CLUB OLYMPICS: If a + a/(1 + 2)

705-805 (Hard) | Algebra

705-805 (Hard) | Algebra hide tags

Bunuel

23 Aug 2021, 08:00

100

11

10,184

by: Diegoram17

13 Oct 2025, 12:10

ER

Which of the following is equal to

505-555 (Easy) | Algebra

505-555 (Easy) | Algebra hide tags

Bunuel

12 Jun 2023, 03:00

14

3

2,719

by: bumpbot

13 Oct 2025, 10:48

ER

If the difference between the roots of the equation x^2 + ax + 1 = 0

655-705 (Hard) | Algebra

655-705 (Hard) | Algebra hide tags

Bunuel

16 Mar 2020, 03:16

66

7

6,714

by: bumpbot

13 Oct 2025, 08:49

ER

The quadratic equations x^2 6x + a = 0 and x^2 cx + 6 = 0 have one

655-705 (Hard) | Algebra

655-705 (Hard) | Algebra hide tags

Bunuel

16 Mar 2020, 03:16

34

6

7,311

by: bumpbot

13 Oct 2025, 08:49

ER

If a = 1 + 1/4 + 1/16 + 1/64 and b = 1 + 1/4a, then what is the value

555-605 (Medium) | Algebra, Arithmetic

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

Bunuel

30 Jul 2018, 21:56

277

16

45,877

by: bumpbot

12 Oct 2025, 15:08

ER

If -3 is 6 more than x, what is the value of x/3?

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

rajman41

08 Oct 2018, 05:08

2

13,768

by: AdarshSambare

12 Oct 2025, 03:59

ER

If 9^y + 3^b = 10*3^b, then 2y ='

555-605 (Medium) | Algebra, Exponents

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

Bunuel

05 Jun 2015, 06:13

47

13

11,483

by: HRX273

11 Oct 2025, 16:17

ER

If x is a positive number and 2/(1 +(2/(1 + (2/(1 + ...), where the gi

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

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

Bunuel

04 Mar 2020, 02:31

81

14

9,197

by: bumpbot

11 Oct 2025, 12:27