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

330

12

153,933

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

313,500

by: Shashankksharma

17 Apr 2026, 02:55

ER

GMAT PS Question Directory by Topic & Difficulty

bb

16 Apr 2026, 14:28

3.3k

0

1,387,814

by: bb

16 Apr 2026, 14:28

ER

Jacob drove from Town A to Town B at an average rate of x miles per ho

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

Ekland

14 Feb 2016, 01:50

99

14

20,792

by: bumpbot

22 May 2026, 04:11

ER

7^3 + 21^3 =

555-605 (Medium) | Algebra, Exponents

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

Bunuel

13 Feb 2017, 03:16

74

13

11,017

by: bumpbot

21 May 2026, 14:25

ER

The sum of five consecutive even numbers of sequence A is 220. What is

655-705 (Hard) | Algebra, Sequences

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

Bunuel

04 Jul 2022, 11:45

9

4

2,853

by: bumpbot

21 May 2026, 08:44

ER

Joe is among N people in a group, where N > 3. If 3 people are randoml

605-655 (Medium) | Algebra, Probability

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

1, 2

BrentGMATPrepNow

14 May 2019, 13:01

112

27

11,963

by: KarishmaB

21 May 2026, 04:59

ER

5/(7^(1/2)+1)/(7^(1/2)-1)

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

Bunuel

21 Feb 2022, 05:15

6

5

1,796

by: bumpbot

21 May 2026, 04:48

ER

If k=3^81 and k^k=3^m, what is the value of m?

605-655 (Medium) | Algebra, Exponents

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

KarthikMBA2019

11 Jul 2018, 05:36

44

5

7,047

by: bumpbot

21 May 2026, 04:46

ER

In a certain sequence of 10 positive numbers, each number after the fi

555-605 (Medium) | Algebra, Sequences

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

niteshwaghray

29 May 2017, 10:16

57

6

6,269

by: bumpbot

20 May 2026, 10:45

ER

If ((ab)^2+3ab-18)((a-1)(a+2))=0 where a and b are integers,which of

805+ (Hard) | Algebra, Must or Could be True

805+ (Hard) | Algebra, Must or Could be True hide tags

mun23

24 Apr 2019, 13:45

40

8

8,292

by: bumpbot

20 May 2026, 05:14

ER

What is the greatest prime factor of 3^6 - 1 ?

555-605 (Medium) | Algebra +2 tags

555-605 (Medium) | Algebra, Multiples and Factors, Number Properties hide tags

rrsnathan

04 Feb 2014, 03:35

166

13

24,894

by: Bunuel

20 May 2026, 04:20

ER

For how many integers k does the equation [m]x^2-kx+

805+ (Hard) | Algebra, Multiples and Factors

805+ (Hard) | Algebra, Multiples and Factors hide tags

kevincan

19 May 2026, 07:32

4

2

227

by: kevincan

19 May 2026, 07:59

ER

Given that xy≠0, what is the value of (1/x + 1/y)/(1/x) - x/y ?

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

Bunuel

10 Jun 2019, 04:43

9

11

3,560

by: bumpbot

19 May 2026, 03:27

ER

If f(x) = 5x^2 and g(x) = x^2 + 12x + 85, what is the sum of all value

655-705 (Hard) | Algebra

655-705 (Hard) | Algebra hide tags

tejal777

04 Mar 2018, 07:33

104

17

21,267

by: bumpbot

18 May 2026, 00:19

ER

For how many ordered pairs (x, y) that are solutions of the system abo

605-655 (Medium) | Absolute Values, Algebra

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

1, 2

Bunuel

11 Mar 2014, 23:54

764

24

88,120

by: bishal128

16 May 2026, 23:01

ER

If x^2 = x + 1, which of the following is equal to x^3 ?

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

AnkurGMAT20

26 May 2023, 07:30

104

5

14,987

by: eaat

16 May 2026, 12:11

ER

If a and b are positive and 5ab = 24 - a^2b^2, then b^2 =

605-655 (Medium) | Algebra

605-655 (Medium) | Algebra hide tags

Bunuel

20 Dec 2019, 01:17

21

8

4,362

by: bumpbot

16 May 2026, 11:27

ER

If x + 1/x = 4, what is the value of x^2 + 1/x^2?

505-555 (Easy) | Algebra

505-555 (Easy) | Algebra hide tags

MathRevolution

24 Feb 2024, 10:52

27

12

45,258

by: bumpbot

16 May 2026, 04:12

ER

If m^2 < 225 and n - m = -10, what is the sum f the smallest

805+ (Hard) | Algebra +2 tags

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

Bunuel

24 Jun 2014, 06:47

348

16

29,733

by: eaat

15 May 2026, 13:36

ER

If f(x)=x^3-7x^2+12x+1, what is the value of [m]f(3.5

605-655 (Medium) | Algebra, Functions and Custom Characters

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

kevincan

15 May 2026, 00:04

1

3

215

by: doloribusnobis

15 May 2026, 01:01

ER

A man buys some shirts and some ties. The shirts cost $7 each and the

505-555 (Easy) | Algebra +2 tags

505-555 (Easy) | Algebra, Fractions and Ratios, Min-Max Problems hide tags

Bunuel

08 Feb 2018, 06:35

28

7

10,650

by: DataGlass

15 May 2026, 00:50

ER

if p^4-49p^2+600=0, what is the sum of the two greatest possible value

655-705 (Hard) | Algebra +3 tags

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

rishabhmishra

19 Mar 2018, 22:28

47

3

7,461

by: bumpbot

14 May 2026, 10:41

ER

A quadratic equation is in the form of x^2–2px + m = 0, where m is

705-805 (Hard) | Algebra +2 tags

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

kiran120680

31 May 2019, 09:17

170

19

12,653

by: Kinshook

14 May 2026, 09:58

ER

If x^2 - 4x + 1 = 0, what is x^2 + 1/x^2?

655-705 (Hard) | Algebra

655-705 (Hard) | Algebra hide tags

MathRevolution

12 Mar 2020, 01:35

54

6

4,719

by: Diyaj2403

13 May 2026, 22:55

ER

If the sum of the first five terms of an Arithmetic sequence is equal

655-705 (Hard) | Algebra +2 tags

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

rheam25

04 Apr 2020, 08:38

90

11

14,039

by: bumpbot

13 May 2026, 22:24

ER

If p > 0, and x2 - 11x + p = 0 has integer roots, how many integer val

705-805 (Hard) | Algebra

705-805 (Hard) | Algebra hide tags

cfc198

01 Jan 2019, 11:35

25

8

17,342

by: bumpbot

13 May 2026, 11:56

ER

(27 + 243)/54 = ?

605-655 (Medium) | Algebra, Roots

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

MathRevolution

01 Jun 2016, 06:47

45

11

12,325

by: RohanNewDelhi

13 May 2026, 04:19

ER

A positive number x is decreased by 60% and the result is increased by

555-605 (Medium) | Algebra, Percent and Interest Problems

555-605 (Medium) | Algebra, Percent and Interest Problems hide tags

Bunuel

08 May 2022, 02:36

51

9

29,540

by: Bunuel

12 May 2026, 21:42

ER

How many ordered pairs of positive integers (x,y) satisfy both of the

805+ (Hard) | Algebra, Inequalities

805+ (Hard) | Algebra, Inequalities hide tags

Bunuel

12 Jan 2022, 09:15

13

2

3,142

by: bumpbot

12 May 2026, 07:07

ER -1

If x^2 + bx + 5 = (x + c)^2 for all numbers x, where b and c are posit

505-555 (Easy) | Algebra +2 tags

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

parkhydel

27 Apr 2020, 14:57

241

12

25,780

by: MUB

11 May 2026, 23:19

ER

(39,897)(0.0096)/198.76 is approximately

555-605 (Medium) | Algebra, Number Properties

555-605 (Medium) | Algebra, Number Properties hide tags

AbdurRakib

23 Jun 2016, 10:12

87

9

21,653

by: bumpbot

11 May 2026, 22:36

ER

If x is a positive integer, how many values of x satisfy the..........

805+ (Hard) | Algebra, Inequalities

805+ (Hard) | Algebra, Inequalities hide tags

EgmatQuantExpert

31 Oct 2018, 04:28

76

18

14,711

by: bumpbot

11 May 2026, 11:08

ER

If x and y are integers and [m]xy^3-xy[/m] is a divisor of [

705-805 (Hard) | Algebra +2 tags

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

kevincan

11 May 2026, 08:18

5

1

218

by: AdarshSambare

11 May 2026, 09:48

ER

If x^2 + 6|x| - 40 = 0, how many real values does x have?

655-705 (Hard) | Absolute Values, Algebra

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

Divyanshu14

01 May 2025, 23:31

16

3

1,752

by: empirekid1301

11 May 2026, 08:22

ER

If x is an integer greater than 2, the function f(x) represents the

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

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

s55day

11 May 2026, 06:46

23

6

6,498

by: Bunuel

11 May 2026, 06:47

ER

If f(x) = (x^4 - 1)/(x^2), what is f(1/x) in terms of f(x)?

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

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

bmwhype2

18 Oct 2023, 00:49

42

4

12,827

by: bumpbot

09 May 2026, 22:41

ER

If the function Q is defined by the formula Q = 5w/(4x(z^2)), by what

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

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

olivite

09 Sep 2019, 03:57

75

11

20,586

by: bumpbot

09 May 2026, 22:40

ER

Find the value of a. Given a=√3(√3(√3(√3(√3…….inf.))))

605-655 (Medium) | Algebra +2 tags

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

conty911

19 Nov 2018, 05:01

160

18

116,106

by: Bunuel

09 May 2026, 10:29

ER

If x^2 = sqrt(2), then x^8 =

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

guddo

28 Jan 2024, 09:58

9

6

4,798

by: bumpbot

09 May 2026, 08:21

ER

A bus carrying 50 tourists stopped at a roadside restaurant.

705-805 (Hard) | Algebra +2 tags

705-805 (Hard) | Algebra, Min-Max Problems, Word Problems hide tags

kevincan

06 May 2026, 22:25

11

6

437

by: kevincan

09 May 2026, 02:49

ER

For integers x and y, 2^x + 2^y =2^30. What is the value of x + y?

655-705 (Hard) | Algebra, Exponents

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

Bunuel

23 Aug 2015, 22:49

372

13

35,933

by: bumpbot

09 May 2026, 02:06

ER

In the expression above, a, b, and c are different numbers and each is

Sub 505 (Easy) | Algebra, Min-Max Problems

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

Bunuel

09 Oct 2019, 00:06

28

5

23,089

by: heyaa

09 May 2026, 00:35

ER

HOT Competition 1 Sep/8AM: What is the coefficient of m^9 if you expan

805+ (Hard) | Algebra

805+ (Hard) | Algebra hide tags

Bunuel

01 Sep 2020, 08:00

90

8

9,678

by: BongBideshini

08 May 2026, 22:42

ER

Find the range of values of x that satisfy the inequality (x+1)(x-2)

505-555 (Easy) | Algebra, Inequalities

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

EgmatQuantExpert

23 Dec 2018, 03:44

54

9

15,291

by: bumpbot

08 May 2026, 12:21

ER

If x^2 – 4x = 5, then one possible value of x – 4 =

505-555 (Easy) | Algebra

505-555 (Easy) | Algebra hide tags

Bunuel

28 Mar 2016, 08:54

16

6

16,206

by: bumpbot

08 May 2026, 12:20

ER

If x and y are positive integers such that 2x2

805+ (Hard) | Algebra, Exponents

805+ (Hard) | Algebra, Exponents hide tags

kevincan

30 Apr 2026, 01:24

11

4

400

by: adewale223

08 May 2026, 08:11

ER

In an electric circuit, two resistors with resistances x and y are con

505-555 (Easy) | Algebra

505-555 (Easy) | Algebra hide tags

1, 2

Walkabout

29 Dec 2012, 05:39

201

22

56,414

by: PGTLrowanhand

08 May 2026, 03:01

ER

The cost of diamond varies directly as the square of its weight. Once,

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

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

Bunuel

27 Mar 2020, 03:34

77

8

42,929

by: bumpbot

07 May 2026, 09:32

Which of the following is equal to sqrt{8-4\sqrt3}+\sqr

705-805 (Hard) | Algebra, Roots

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

kevincan1

05 May 2026, 22:36

3

316

by: kevincan1

07 May 2026, 06:25

ER

A school supply store sells only one kind of desk and one kind of chai

505-555 (Easy) | Algebra, Word Problems

505-555 (Easy) | Algebra, Word Problems hide tags

gmatt1476

21 Sep 2019, 06:01

81

11

15,867

by: bumpbot

07 May 2026, 04:01

ER

If x is a positive number and 1/2 the square root of x is equal to 2x,

505-555 (Easy) | Algebra

505-555 (Easy) | Algebra hide tags

Bunuel

05 Nov 2015, 12:27

15

4

16,430

by: bumpbot

07 May 2026, 04:00

ER

Given f(x) = 3x – 5, for what value of x does 2*[f(x)] – 1 = f(3x – 6)

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

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

Bunuel

19 Jan 2015, 05:13

32

8

16,815

by: bumpbot

07 May 2026, 03:59