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

152,570

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

312,759

by: Shashankksharma

17 Apr 2026, 02:55

ER

GMAT PS Question Directory by Topic & Difficulty

bb

16 Apr 2026, 14:28

3.3k

0

1,385,209

by: bb

16 Apr 2026, 14:28

ER

The roots of x^2 - px + 12 = 0, where p is a negative constant and x

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

Bunuel

20 May 2020, 07:06

122

12

10,484

by: bumpbot

24 Sep 2024, 07:01

ER

35/[(35^2) + 35] =

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

Bunuel

24 Sep 2024, 01:30

3

2

1,408

by: Krunaal

24 Sep 2024, 02:29

ER

The number of sailors on a ship is 88% more

Sub 505 (Easy) | Algebra, Percent and Interest Problems

Sub 505 (Easy) | Algebra, Percent and Interest Problems hide tags

PareshGmat

19 Aug 2014, 20:41

3

5

4,278

by: bumpbot

23 Sep 2024, 18:22

ER

If 6k^2 + k = 2 and k > 0, then k must equal which of the following?

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

Bunuel

20 Nov 2019, 00:16

5

3

6,809

by: bumpbot

23 Sep 2024, 17:59

ER

If a = \frac{[square_root]5[/square_root] + 1}{[square_root]5[/square_

705-805 (Hard) | Algebra

705-805 (Hard) | Algebra hide tags

Bunuel

10 Aug 2021, 09:00

17

5

2,478

by: bumpbot

23 Sep 2024, 15:58

ER

If x + y = 1 and x – y = -1, what is the value of xy?

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

pushpitkc

02 Nov 2018, 02:21

5

3

7,855

by: bumpbot

22 Sep 2024, 10:15

ER

A given quadratic equation ax^2 52x + 24 = 0 has 13/6 as sum of the

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

Bunuel

10 Jan 2020, 02:14

17

12

5,933

by: bumpbot

22 Sep 2024, 09:44

ER

What is the sum of the reciprocals of the roots of the equation

705-805 (Hard) | Algebra

705-805 (Hard) | Algebra hide tags

Bunuel

19 Mar 2019, 21:30

13

4

11,982

by: bumpbot

22 Sep 2024, 02:06

ER

If x>0, what is the sum of the roots of the equation x^sqrt(x)=x^2?

705-805 (Hard) | Algebra, Exponents

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

fskilnik

11 Mar 2019, 06:33

21

6

4,791

by: bumpbot

22 Sep 2024, 02:01

ER

If x – y = 4 and 2x + y = 5, what is the value of x?

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

Bunuel

13 Dec 2018, 01:09

2

1,659

by: AkshayDang

21 Sep 2024, 09:51

ER

If n is the square of a positive integer, which of the following must

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

Bunuel

09 Nov 2015, 22:59

22

10

8,501

by: bumpbot

21 Sep 2024, 05:34

ER

1 - (q - 1)/q = ?

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

Bunuel

20 Sep 2024, 01:30

5

4

2,418

by: salilbagai

21 Sep 2024, 00:11

ER

If a#b is defined by the expression a#b = -b^4, what is the value of x

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

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

Bunuel

20 Sep 2024, 01:30

6

3

1,177

by: Krunaal

20 Sep 2024, 14:08

A charity sells 140 benefit tickets for a total of $2001.

805+ (Hard) | Algebra

805+ (Hard) | Algebra hide tags

twobagels

14 Feb 2022, 12:41

13

3

2,878

by: bumpbot

19 Sep 2024, 23:59

ER

The total cost in dollars of producing x units of a certain product is

805+ (Hard) | Algebra

805+ (Hard) | Algebra hide tags

AbRathod

21 Apr 2022, 01:19

25

3

6,036

by: sisitokun

19 Sep 2024, 13:37

ER

If 3xm + 2ym - 2yn - 3xn = 0 and m≠n , then what is the value of y in

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

Bunuel

22 Aug 2018, 01:44

8

4

7,899

by: bumpbot

19 Sep 2024, 11:36

ER

If k is a constant, and x = −5 is a solution to the equation x^3 + kx^

705-805 (Hard) | Algebra

705-805 (Hard) | Algebra hide tags

Russ19

27 May 2021, 06:28

4

3

2,104

by: bumpbot

19 Sep 2024, 10:02

ER

what must be added to x/y to make 2y/x ?

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

KSBGC

24 Feb 2019, 02:26

6

7

3,887

by: bumpbot

19 Sep 2024, 05:32

ER

If 3x + 7 - 4x + 8 = 2(-2x - 6), what is the value of x?

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

Bunuel

11 Dec 2018, 00:46

2

2,283

by: AkshayDang

18 Sep 2024, 09:16

ER

If m > 0 and n > 0, which of the following is equivalent to

Sub 505 (Easy) | Algebra, Exponents

Sub 505 (Easy) | Algebra, Exponents hide tags

Bunuel

10 Mar 2022, 08:00

13

7

3,842

by: StenAnsiktet

18 Sep 2024, 08:27

ER

3x^2 + 2x - 8 =

505-555 (Easy) | Algebra

505-555 (Easy) | Algebra hide tags

malkov

13 May 2012, 22:53

15

8

14,472

by: Ayeka

17 Sep 2024, 09:25

ER

If [3(ab)^3 + 9(ab)^2 54ab] / [(a-1)(a + 2)] = 0, and a and b are bo

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

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

Bunuel

05 Nov 2014, 08:46

157

14

21,112

by: bumpbot

16 Sep 2024, 21:22

ER

If a and b are non-negative numbers such that a + 2b = 6, what is the

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

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

Bunuel

16 Sep 2024, 01:30

4

3

1,753

by: Krunaal

16 Sep 2024, 15:18

ER

If x3 and (x^2 - 9)/(2y) = (x - 3)/4, then in terms of y, x = ?

505-555 (Easy) | Algebra

505-555 (Easy) | Algebra hide tags

pmklings

06 Mar 2023, 03:00

24

4

11,140

by: bumpbot

16 Sep 2024, 09:07

ER

(5+5*5^(1/2))/(10+500^(1/2))

Sub 505 (Easy) | Algebra, Roots

Sub 505 (Easy) | Algebra, Roots hide tags

Bunuel

25 Apr 2017, 02:27

13

8

6,421

by: bumpbot

16 Sep 2024, 05:36

ER

A number a is squared and then multiplied by negative 3. The

505-555 (Easy) | Algebra

505-555 (Easy) | Algebra hide tags

macjas

27 May 2012, 09:22

2

4

4,871

by: bumpbot

15 Sep 2024, 22:08

ER

Of the pieces of fruit in a fruit salad, 1/10 are oranges, 1/5 are app

Sub 505 (Easy) | Algebra, Fractions and Ratios

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

Hoozan

06 Feb 2021, 05:16

9

4

2,992

by: cryuss

15 Sep 2024, 21:01

ER

If a mixture of ground meat consists of 2 pounds of veal that costs x

Sub 505 (Easy) | Algebra, Mixture Problems

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

Sajjad1994

25 Feb 2017, 00:01

14

7

6,280

by: bumpbot

15 Sep 2024, 18:01

ER

If h(x) = 5x^2 + x, then which of the following is equal to h(a + b)

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

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

Bunuel

27 Jul 2018, 01:14

1

4

3,654

by: bumpbot

14 Sep 2024, 14:14

ER

If k > 1, which of the following must be equal to 2/((k + 1)^(1/2)

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

Bunuel

16 Jun 2015, 03:11

40

10

11,700

by: bumpbot

14 Sep 2024, 12:10

ER

If x^2 + 4x + 3 is odd, then which one of the following could be the v

505-555 (Easy) | Algebra

505-555 (Easy) | Algebra hide tags

vikasp99

15 Jul 2019, 01:12

8

6

7,242

by: bumpbot

12 Sep 2024, 08:15

ER

If s is the sum of odd integers from 40 to 60, inclusive, and t is the

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

ladyrenee95

12 Oct 2017, 12:33

13

8

9,609

by: bumpbot

12 Sep 2024, 02:00

ER

If q ≠ 0 and k = qr/2 - s, then what is r in terms of k, q, and s?

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

Bunuel

22 Jul 2020, 05:52

1

5

3,371

by: bumpbot

11 Sep 2024, 17:41

ER

If the average (arithmetic mean) of 5 consecutive integers is 12, what

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

Bunuel

11 Mar 2019, 01:28

1

4

14,506

by: bumpbot

11 Sep 2024, 08:22

ER

If x + 3/x 3 = y , what is the value of x in terms of y?

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

Bunuel

15 Feb 2023, 09:21

4

5

3,942

by: bumpbot

10 Sep 2024, 21:57

ER

How many non-negative integer solutions, a,b,c,x, y and z, with all

805+ (Hard) | Algebra

805+ (Hard) | Algebra hide tags

Ravixxx

19 Apr 2020, 09:47

17

6

5,883

by: bumpbot

08 Sep 2024, 15:58

ER

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

Sub 505 (Easy) | Algebra +2 tags

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

Bunuel

15 May 2019, 22:46

5

4

4,230

by: bumpbot

08 Sep 2024, 12:20

A rod of length 30 units is to be cut into P parts so that the magnitu

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

nick1816

17 Jun 2019, 17:15

7

2

1,833

by: bumpbot

08 Sep 2024, 00:54

ER

Find the sum of x-intercepts and y-intercept of Parabola [m]y = x^2 -

555-605 (Medium) | Algebra, Coordinate Geometry

555-605 (Medium) | Algebra, Coordinate Geometry hide tags

GMATinsight

25 Feb 2020, 08:10

8

2

2,926

by: bumpbot

07 Sep 2024, 23:52

ER

If x ≠ –1, then 2x^2 + 4x + 2/(x + 1)^2 =

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

Bunuel

09 Apr 2019, 03:47

2

4

1,962

by: bumpbot

07 Sep 2024, 20:35

If n is an integer,and 5n+5n=62625,how many values of n satisfy the e

655-705 (Hard) | Algebra, Exponents

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

Afroditee

11 Oct 2022, 11:50

19

6

3,040

by: bumpbot

07 Sep 2024, 15:37

ER

If 6x^2 + x - 12 = (ax + b)(cx + d), then |a| + |b| + |c| +

555-605 (Medium) | Algebra

555-605 (Medium) | Algebra hide tags

mikemcgarry

17 Oct 2012, 04:32

30

7

11,033

by: bumpbot

07 Sep 2024, 06:52

ER

Running at the same constant rate, 3 identical machines can produce a

Sub 505 (Easy) | Algebra, Work and Rate Problems

Sub 505 (Easy) | Algebra, Work and Rate Problems hide tags

Carcass

27 Sep 2022, 01:04

4

2

3,207

by: shwetakoshija

07 Sep 2024, 04:41

If (x +9) is one of the factors of x2 + mx 4c = 0 and m and c are

705-805 (Hard) | Algebra

705-805 (Hard) | Algebra hide tags

ChandlerBong

08 May 2023, 08:39

13

4

3,175

by: bumpbot

06 Sep 2024, 16:54

ER

If 7^8 = m and 8^7 = n, then what is the value of 56^56 in terms of m

555-605 (Medium) | Algebra, Exponents

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

Bunuel

01 Sep 2022, 01:52

18

4

6,080

by: bumpbot

06 Sep 2024, 14:56

x^2 - (x/2)^2 =

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

HKD1710

14 Dec 2018, 10:14

18

5

9,740

by: bumpbot

05 Sep 2024, 08:10

ER

Which of the following is(are) true for ab=ba?

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

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

MathRevolution

24 Feb 2016, 22:16

13

3

5,481

by: robert8035

04 Sep 2024, 07:09

ER

If a, b, c and d positive integers such that they satisfy the system o

705-805 (Hard) | Algebra

705-805 (Hard) | Algebra hide tags

nick1816

03 Aug 2020, 18:47

26

6

3,733

by: Bunuel

04 Sep 2024, 07:08

ER

Which of the following is equivalent to 5^5(6^4 - 3^4)/5 ?

555-605 (Medium) | Algebra, Exponents

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

Bunuel

10 Aug 2018, 03:52

17

7

4,441

by: bumpbot

04 Sep 2024, 05:33

ER

If n/41 is 1 more than m/41, then n =

Sub 505 (Easy) | Algebra

Sub 505 (Easy) | Algebra hide tags

yuyalm

05 Jul 2012, 14:52

11

12,487

by: bumpbot

03 Sep 2024, 19:15