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

151,791

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

312,298

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

1,383,507

by: bb

16 Apr 2026, 14:28

ER

If x < 0, then (-x*|x|)^(1/2) is:

605-655 (Medium) | Absolute Values, Roots

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

1, 2

nss123

10 Apr 2020, 08:41

999

23

80,209

by: totaltestprepNick

01 Mar 2026, 14:27

ER

If a > b > 0, then √a^2 - b^2

Sub 505 (Easy) | Algebra, Roots

Sub 505 (Easy) | Algebra, Roots hide tags

Jeli13

23 Jul 2019, 07:33

76

11

41,619

by: totaltestprepNick

01 Mar 2026, 14:23

ER

What is the value of (1/50)^(1/2)%=

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

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

Bunuel

02 Apr 2022, 08:30

13

4

3,866

by: bumpbot

26 Feb 2026, 17:13

ER

(7 + 43) + (7 - 43)^2 is equal to which of the following?

555-605 (Medium) | Algebra, Roots

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

Bunuel

16 May 2023, 07:30

8

3

2,676

by: bumpbot

26 Feb 2026, 08:10

ER

What is (x^2 - 6x + 9)^(1/2)/(x - 3) + (-x)^(1/2) if each term in this

705-805 (Hard) | Absolute Values +3 tags

705-805 (Hard) | Absolute Values, Algebra, Fractions and Ratios, Roots hide tags

1, 2

naeln

03 Jun 2015, 02:48

240

20

18,050

by: totamofficiis

25 Feb 2026, 23:35

ER

For which of the following values of x is (1 - (2 - x^(1/2))^(1/2))

555-605 (Medium) | Number Properties, Roots

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

Safiya

11 Oct 2019, 06:14

237

17

48,237

by: totaltestprepNick

24 Feb 2026, 10:18

ER

If M = 4^(1/2) + 4^(1/3) + 4^(1/4), then the value of M is:

555-605 (Medium) | Roots

555-605 (Medium) | Roots hide tags

zz0vlb

26 Apr 2010, 22:07

918

19

113,231

by: totaltestprepNick

24 Feb 2026, 10:17

ER

Which of the following is the value of root{3rd rt{0,000064}

505-555 (Easy) | Roots

505-555 (Easy) | Roots hide tags

Bunuel

10 Jun 2008, 19:37

203

16

46,487

by: totaltestprepNick

24 Feb 2026, 10:15

ER

Root of (16*20+8*32)=

505-555 (Easy) | Arithmetic, Roots

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

1, 2

Bunuel

03 Sep 2012, 06:00

218

21

54,442

by: totaltestprepNick

24 Feb 2026, 10:12

ER

Which of the following is greatest?

505-555 (Easy) | Arithmetic, Roots

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

1, 2

AbdurRakib

17 Jun 2017, 12:47

643

23

72,844

by: totaltestprepNick

24 Feb 2026, 10:05

ER

If n=root(16/81), what is the value of root(n)?

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

Bunuel

09 Jul 2012, 03:27

29

11

40,345

by: totaltestprepNick

24 Feb 2026, 10:02

ER

((80+25)^2-8000)^(1/2)

555-605 (Medium) | Roots

555-605 (Medium) | Roots hide tags

Bunuel

04 May 2021, 03:15

15

4

3,888

by: bumpbot

23 Feb 2026, 01:40

ER

What is the Value of (1 + 3^(1/2))(2 + 3^(1/2))^(1/2)

655-705 (Hard) | Algebra, Roots

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

Bunuel

02 Oct 2018, 02:07

48

5

5,848

by: Adit_

20 Feb 2026, 09:50

ER

What is the value of ...

555-605 (Medium) | Algebra, Roots

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

Bunuel

28 May 2021, 05:45

14

6

4,012

by: bumpbot

19 Feb 2026, 06:22

ER

For a negative integer x, what is the value of x*root(x^2)?

555-605 (Medium) | Absolute Values +2 tags

555-605 (Medium) | Absolute Values, Number Properties, Roots hide tags

BukrsGmat

18 Feb 2026, 21:14

74

13

16,284

by: bumpbot

18 Feb 2026, 21:05

ER

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

655-705 (Hard) | Algebra, Roots

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

Bunuel

04 Jul 2023, 11:45

32

4

4,221

by: bumpbot

16 Feb 2026, 04:22

ER

If n is positive, which of the following is equal to

505-555 (Easy) | Algebra, Roots

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

kook44

16 Apr 2012, 02:05

230

14

37,580

by: bumpbot

15 Feb 2026, 12:58

ER

If (5x) = 6(4x), , what is the range of the possible values of x?

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

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

Bunuel

28 Jan 2019, 02:43

107

10

12,961

by: bumpbot

15 Feb 2026, 09:45

ER

If the following expression extends to an infinite number of roots, th

805+ (Hard) | Algebra, Roots

805+ (Hard) | Algebra, Roots hide tags

Bunuel

09 Feb 2026, 22:11

68

9

9,243

by: BlackHat098

09 Feb 2026, 21:21

ER

Which of the following expressions is equivalent to the square roo

Sub 505 (Easy) | Exponents, Roots

Sub 505 (Easy) | Exponents, Roots hide tags

BrentGMATPrepNow

20 Oct 2021, 14:30

7

4

3,280

by: Jet32100

09 Feb 2026, 11:18

ER

Which of the following is the closest approximation to

705-805 (Hard) | Arithmetic, Roots

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

ExpertsGlobal5

04 Feb 2026, 22:08

9

4

925

by: ExpertsGlobal5

07 Feb 2026, 19:15

ER

What is the value of (√700 - √112)/√1008

555-605 (Medium) | Algebra, Roots

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

Bunuel

10 Aug 2018, 03:20

10

9

5,629

by: bumpbot

02 Feb 2026, 04:54

ER

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

505-555 (Easy) | Roots

505-555 (Easy) | Roots hide tags

Bunuel

06 Aug 2023, 12:00

43

6

15,248

by: bumpbot

02 Feb 2026, 04:51

ER

If √x -√y+√z=0, which of the following is true?

705-805 (Hard) | Algebra +2 tags

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

MathRevolution

28 Mar 2016, 22:43

70

8

11,416

by: bumpbot

30 Jan 2026, 12:47

ER

Which of the following is equal to x^(1/2)*x^(1/3)?

505-555 (Easy) | Roots

505-555 (Easy) | Roots hide tags

Bunuel

11 Jun 2021, 07:15

3

4

2,452

by: bumpbot

23 Jan 2026, 05:45

ER

If a and b are integers and (3√a*√b)^6 = 500, then a + b could equal

655-705 (Hard) | Algebra, Roots

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

Bunuel

21 Nov 2017, 01:59

93

12

19,494

by: bumpbot

21 Jan 2026, 11:48

ER

If x = 4, then 2^{2 x^1/2} + 2 =?

655-705 (Hard) | Algebra +2 tags

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

Bunuel

06 Apr 2022, 02:15

36

5

5,823

by: bumpbot

20 Jan 2026, 08:01

ER

If p = 1/(√14 − √13) and q = 1/(√14 + √13) then p^2 + 2pq + q^2 =

555-605 (Medium) | Algebra, Roots

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

Bunuel

22 Oct 2018, 01:33

42

10

11,704

by: bumpbot

18 Jan 2026, 11:13

ER

If 12^(1/2) + 108^(1/2) = N^(1/2), then N =

555-605 (Medium) | Roots

555-605 (Medium) | Roots hide tags

Bunuel

13 Mar 2015, 07:46

20

12

6,899

by: bumpbot

18 Jan 2026, 07:15

ER

If x and y are positive, which of the following must be greater than

655-705 (Hard) | Algebra +2 tags

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

1, 2

study

29 Aug 2022, 08:30

516

24

48,782

by: Varun291

14 Jan 2026, 01:19

ER

If ∛(12167)*√(16384) = x*11.5, then what is the value of x ?

705-805 (Hard) | Algebra, Roots

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

Bunuel

12 Jun 2020, 12:00

32

9

6,436

by: bumpbot

13 Jan 2026, 03:03

ER

The quadratic equation x^2(?+?)x +17 has a minimum value of -8 and

655-705 (Hard) | Roots

655-705 (Hard) | Roots hide tags

sahilsahh

14 Jul 2024, 09:48

34

10

3,883

by: goldmanstanly

12 Jan 2026, 06:52

ER

What is the Greatest Common Factor (GCF) of 18x^8y^(20) and 24x^12y^15

555-605 (Medium) | Exponents, Roots

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

Gnpth

24 Sep 2017, 21:40

19

9

9,748

by: bumpbot

04 Jan 2026, 10:30

ER

12 Days of Christmas GMAT Competition - Day 6: If -9 < m < -4 and 7 <

705-805 (Hard) | Inequalities +2 tags

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

Bunuel

18 Dec 2023, 07:00

33

7

6,402

by: bumpbot

04 Jan 2026, 01:07

ER

If x = (25/16)^(1/2), what is the value of (5/x)^(1/2) ?

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

Bunuel

04 Aug 2023, 06:00

15

5

11,050

by: bumpbot

03 Jan 2026, 21:38

ER

(1 - (4/5)^2)^(1/2) =

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

guddo

30 Jan 2024, 09:24

3

2

3,744

by: bumpbot

02 Jan 2026, 20:16

ER

If m and n are integers such that (√2)^19*3^4*4^2*9^m*8^n = 3^n*16^m(4

655-705 (Hard) | Algebra +2 tags

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

Bunuel

27 Mar 2020, 05:35

21

5

8,526

by: bumpbot

02 Jan 2026, 13:32

ER

What is the value of 2/(2- √2)?

Sub 505 (Easy) | Algebra, Roots

Sub 505 (Easy) | Algebra, Roots hide tags

Bunuel

25 Apr 2017, 03:30

42

4

9,863

by: bumpbot

02 Jan 2026, 10:26

ER

Root(80)+root(125)

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

1, 2

Bunuel

01 Oct 2012, 05:02

82

21

63,088

by: Bunuel

29 Dec 2025, 05:46

ER

784^(1/2)

Sub 505 (Easy) | Arithmetic, Roots

Sub 505 (Easy) | Arithmetic, Roots hide tags

pushpitkc

31 Oct 2018, 22:27

18

12

10,803

by: aakash233

27 Dec 2025, 01:37

ER

Baker's Dozen

655-705 (Hard) | Exponents +5 tags

655-705 (Hard) | Exponents, Fractions and Ratios, Multiples and Factors, Number Properties, Remainders, Roots hide tags

1, 2, 3, 4, 5

Bunuel

08 Mar 2012, 13:27

1.6k

90

213,544

by: Gaurav1144

21 Dec 2025, 05:31

ER

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

234

11

25,380

by: bumpbot

18 Dec 2025, 09:29

ER

12 Days of Christmas GMAT Competition 2025 - Day 1: If x, y, and z

805+ (Hard) | Number Properties, Roots

805+ (Hard) | Number Properties, Roots hide tags

1, 2, 3, 4

Bunuel

12 Jan 2026, 05:44

86

78

3,159

by: truedelulu

17 Dec 2025, 23:00

ER

(27 + 243)/54 = ?

605-655 (Medium) | Algebra, Roots

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

MathRevolution

01 Jun 2016, 06:47

43

11

12,054

by: bumpbot

16 Dec 2025, 08:47

ER

Which of the points on the number line above best expresses the expres

605-655 (Medium) | Arithmetic, Roots

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

Bunuel

10 Sep 2017, 05:17

12

6

4,182

by: bumpbot

16 Dec 2025, 08:25

ER

Which of the following is equal to 1/[(3^(1/2)-2^(1/2))^1/2]

555-605 (Medium) | Algebra, Roots

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

kwhitejr

04 Aug 2010, 03:56

54

5

20,460

by: bumpbot

15 Dec 2025, 13:27

ER

root[root{96}+2/(5+2*root{6})] lies between

555-605 (Medium) | Arithmetic, Roots

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

LM

26 Jan 2012, 06:26

62

14

20,009

by: AmazingANI

15 Dec 2025, 11:26

ER

If (2x - 1)^(1/2) = (2x)^(1/2) - 1, then 2x =

605-655 (Medium) | Algebra, Roots

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

Bunuel

01 May 2018, 00:41

8

4

5,269

by: bumpbot

15 Dec 2025, 07:49

ER

(root2*root5)/[(root7-root2-root5)(root7+root2+root5)]

605-655 (Medium) | Algebra, Roots

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

Bunuel

09 Dec 2015, 08:48

34

7

9,058

by: bumpbot

15 Dec 2025, 07:19

ER

A certain sequence is defined by the following rule: Sn = k(Sn1), whe

655-705 (Hard) | Roots, Sequences

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

Bunuel

12 Jun 2015, 03:10

150

5

19,633

by: bumpbot

15 Dec 2025, 06:54