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

151,212

by: ekfdskfe

13 Jul 2025, 19:03

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100 Hardest and easiest questions for PS as of March 2026

Bunuel

01 Jan 2026, 05:45

1.1k

8

312,259

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

1,383,328

by: bb

16 Apr 2026, 14:28

ER

Which of the following is equivalent to 21/6 ?

555-605 (Medium) | Arithmetic, Roots

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

Bunuel

06 Jun 2017, 10:01

52

9

15,392

by: bumpbot

13 Aug 2024, 15:54

ER

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

Sub 505 (Easy) | Algebra, Roots

Sub 505 (Easy) | Algebra, Roots hide tags

Bunuel

13 Mar 2018, 06:52

9

4

3,941

by: bumpbot

08 Aug 2024, 01:04

ER

If x 0, (0.49x^16)^(1/2) then must be equal to

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

Bunuel

05 Aug 2024, 01:30

1

1,265

by: GMATinsight

05 Aug 2024, 03:41

ER

Which of the following numbers is the closest to the square root of

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

Bunuel

01 Aug 2024, 13:45

1

1,099

by: Natashaairan

01 Aug 2024, 14:17

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If (7 + x^(1/3))^(1/3) = 3, then what is the value of x ?

Sub 505 (Easy) | Algebra, Roots

Sub 505 (Easy) | Algebra, Roots hide tags

Bunuel

25 Jan 2021, 07:15

5

2

1,940

by: bumpbot

24 Jul 2024, 12:33

ER

(245^(1/2) - 75^(1/2))^2 =

555-605 (Medium) | Roots

555-605 (Medium) | Roots hide tags

Bunuel

18 Mar 2022, 01:30

10

4

3,098

by: bumpbot

24 Jul 2024, 12:28

ER

In the equation above x =

505-555 (Easy) | Algebra, Roots

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

Bunuel

29 Mar 2017, 02:35

21

5

6,461

by: bumpbot

24 Jul 2024, 12:27

ER

(36 - 3*23/4)^(1/2) =

555-605 (Medium) | Roots

555-605 (Medium) | Roots hide tags

Bunuel

23 Jul 2024, 01:30

3

1,306

by: Purnank

24 Jul 2024, 05:54

ER

If sqrt(x^2 + (sqrt(x^2 + sqrt(x^2 + ...))), where the given expressio

705-805 (Hard) | Algebra, Roots

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

Bunuel

06 Mar 2020, 03:17

40

6

5,789

by: BrushMyQuant

19 Jul 2024, 05:30

ER

For how many real values of x is p √(120 − √x) an integer?

805+ (Hard) | Algebra, Roots

805+ (Hard) | Algebra, Roots hide tags

Noshad

19 Mar 2019, 06:27

30

7

8,174

by: Banmeet

11 Jul 2024, 02:24

ER

If x is a positive number and sqrt(3/2 + (sqrt(3/2 + sqrt(3/2 +

655-705 (Hard) | Algebra, Roots

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

Bunuel

06 Mar 2020, 02:03

47

14

8,786

by: BrushMyQuant

04 Jul 2024, 05:15

ER

If n is an odd number, what is the value of

Sub 505 (Easy) | Exponents, Roots

Sub 505 (Easy) | Exponents, Roots hide tags

sahilsahh

03 Jul 2024, 23:28

1

1,037

by: Bunuel

03 Jul 2024, 23:41

ER

What is 157609^(1/2)?

555-605 (Medium) | Roots

555-605 (Medium) | Roots hide tags

BillyZ

20 Jan 2017, 07:50

16

8

6,446

by: A_Nishith

01 Jul 2024, 03:41

ER

(7 - 4(3)^(1/2))^(1/2) =

655-705 (Hard) | Roots

655-705 (Hard) | Roots hide tags

Russ19

31 Jan 2020, 07:41

21

4

5,149

by: bumpbot

30 Jun 2024, 16:36

ER

What positive number, when squared, is equal to the cube of the positi

Sub 505 (Easy) | Algebra +2 tags

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

Bunuel

20 Dec 2015, 05:09

5

3

9,032

by: bumpbot

13 Jun 2024, 13:52

ER

If y = (0.36x^8)^(1/2), then y =

Sub 505 (Easy) | Algebra, Roots

Sub 505 (Easy) | Algebra, Roots hide tags

Bunuel

28 Feb 2019, 00:12

2

3

2,714

by: bumpbot

10 Jun 2024, 19:11

ER

Which of the following is equal to (64^(1/3) + 64^(1/3))^2 ?

Sub 505 (Easy) | Algebra, Roots

Sub 505 (Easy) | Algebra, Roots hide tags

Bunuel

06 Jun 2024, 01:30

4

3

1,890

by: PranavVyas

06 Jun 2024, 17:59

ER

Which of the following inequalities, if true, is sufficient alone to

705-805 (Hard) | Inequalities, Roots

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

Sajjad1994

21 Mar 2020, 00:23

21

5

3,990

by: KarishmaB

07 May 2024, 08:48

ER

If cube root of square root of x equals x/5, then x could eq

555-605 (Medium) | Roots

555-605 (Medium) | Roots hide tags

mikemcgarry

24 Jul 2014, 16:22

58

6

9,140

by: bumpbot

06 May 2024, 13:43

ER

(12.5^(1/2) + 12.5^(1/2))^2 - (25^(1/2))^2 =

505-555 (Easy) | Algebra, Roots

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

Bunuel

24 Jul 2019, 02:51

5

6

2,818

by: bumpbot

06 May 2024, 13:04

ER

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

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

Bunuel

17 Mar 2022, 03:30

2

2,440

by: bumpbot

06 May 2024, 12:20

ER

If (8 + 3*21^(1/2))^(1/3) + (8 - 3*21^(1/2))^(1/3) = x, what is the va

805+ (Hard) | Algebra, Roots

805+ (Hard) | Algebra, Roots hide tags

Bunuel

18 Jun 2020, 08:19

23

8

4,888

by: bumpbot

16 Mar 2024, 11:25

ER

12^(1/2) + 108^(1/2) + 48^(1/2) =

Sub 505 (Easy) | Arithmetic, Roots

Sub 505 (Easy) | Arithmetic, Roots hide tags

Bunuel

06 Apr 2018, 05:09

8

6

3,581

by: bumpbot

14 Mar 2024, 09:42

ER

What is √54×√24?

Sub 505 (Easy) | Arithmetic, Roots

Sub 505 (Easy) | Arithmetic, Roots hide tags

Bunuel

11 Mar 2018, 21:08

7

8

23,423

by: bumpbot

14 Mar 2024, 09:40

ER

4(6^(1/2) + 2^(1/2))/(6^(1/2) - 2^(1/2)) - (2 + 3^(1/2)/(2 - 3^(1/2) =

555-605 (Medium) | Algebra, Roots

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

Bunuel

24 Jul 2019, 02:22

9

3

3,012

by: bumpbot

10 Mar 2024, 10:18

ER

If n = (-72)^(1/3) then the value of n is

505-555 (Easy) | Algebra, Roots

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

Bunuel

18 Jun 2017, 04:57

28

9

8,308

by: bumpbot

25 Feb 2024, 06:54

ER

(1,919)^(1/2)/(0.1919)(1/2)

555-605 (Medium) | Roots

555-605 (Medium) | Roots hide tags

petu

14 Jun 2015, 11:20

33

5

8,931

by: bumpbot

24 Feb 2024, 10:26

ER

530,493^(1/2) is between

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

Bunuel

30 May 2016, 13:31

11

4

6,554

by: bumpbot

23 Feb 2024, 10:53

ER

If x = y, which of the following could be equal to 1/(x^(2))^(2) ?

555-605 (Medium) | Roots

555-605 (Medium) | Roots hide tags

Bunuel

10 Jan 2023, 11:00

3

2,513

by: bumpbot

16 Feb 2024, 07:07

ER

If a positive number A is equal to 3^x and A, when squared, is equal

Sub 505 (Easy) | Exponents, Roots

Sub 505 (Easy) | Exponents, Roots hide tags

Bunuel

24 Mar 2022, 08:45

5

2

2,517

by: bumpbot

11 Jan 2024, 11:27

ER

If x^(1/6) = 6, then (x^6)^(1/2) =

505-555 (Easy) | Exponents, Roots

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

Bunuel

15 Jan 2018, 06:07

4

8

4,604

by: bumpbot

22 Dec 2023, 02:35

ER

184,513^(1/2) is between

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

Bunuel

31 May 2016, 02:33

17

5

7,020

by: bumpbot

11 Dec 2023, 06:53

ER

Which of the following is equal to (√12/5)(√60/2^4)(√45/3^2) ?

555-605 (Medium) | Roots

555-605 (Medium) | Roots hide tags

Bunuel

11 Jun 2021, 05:15

3

2

2,948

by: bumpbot

11 Oct 2023, 03:05

ER

Which of the following is an odd integer ?

555-605 (Medium) | Roots

555-605 (Medium) | Roots hide tags

Bunuel

01 Mar 2023, 10:37

1

2

1,971

by: nasgmatbag

10 Oct 2023, 06:32

ER

Which of the following expression is equivalent to

555-605 (Medium) | Roots

555-605 (Medium) | Roots hide tags

Bunuel

04 Oct 2021, 07:15

2

3

3,628

by: Harshani

27 Sep 2023, 12:40

ER

121^(1/2) - 99^(1/2) - 44^(1/2) =

555-605 (Medium) | Roots

555-605 (Medium) | Roots hide tags

Bunuel

03 Sep 2017, 06:08

2

5

3,247

by: bumpbot

28 Aug 2023, 03:24

ER

(5*60 + 4*121)^(1/2)

555-605 (Medium) | Roots

555-605 (Medium) | Roots hide tags

Bunuel

25 Jul 2018, 21:37

4

6

2,962

by: bumpbot

02 Aug 2023, 04:53

ER

If x and y are both positive then √72x^3y^16 =

555-605 (Medium) | Roots

555-605 (Medium) | Roots hide tags

Bunuel

18 Oct 2018, 01:37

7

4

6,672

by: Paras96

29 Jul 2023, 06:39

ER

3969^(1/2)/0.003969^(1/2) =

555-605 (Medium) | Arithmetic, Roots

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

Bunuel

25 Jun 2023, 01:42

1

2,366

by: TheBipedalHorse

25 Jun 2023, 07:52

ER

0.0016 =

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

Bunuel

09 Jun 2023, 01:30

4

3

1,750

by: Abhishek009

11 Jun 2023, 10:35

ER

Which of the following is the best approximation of (98.763*0.49^2/0.)

555-605 (Medium) | Arithmetic, Roots

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

Bunuel

29 May 2023, 01:30

6

2

2,063

by: $!vakumar.m

29 May 2023, 08:34

ER

What is z ?

Sub 505 (Easy) | Algebra +2 tags

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

Bunuel

11 May 2023, 04:15

2

1,920

by: SpartanX

11 May 2023, 07:33

ER

√3+√2/√3-√2 is approximately between which two numbers?

555-605 (Medium) | Arithmetic, Roots

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

MathRevolution

20 Jan 2017, 14:29

9

8

5,583

by: BrushMyQuant

12 Mar 2023, 11:26

ER

What is the value of 2*34^(1/5) approximated to the

505-555 (Easy) | Roots

505-555 (Easy) | Roots hide tags

Bunuel

27 Jun 2018, 21:17

6

4

3,570

by: sujoykrdatta

25 Feb 2023, 11:52

ER

If the hash marks above are equally spaced, what is the value of p?

555-605 (Medium) | Roots

555-605 (Medium) | Roots hide tags

Bunuel

26 Aug 2018, 06:26

12

4

6,340

by: bumpbot

27 Dec 2022, 23:32

ER

What is the value of the expression [m]([fraction]√2/\sqrt[3]{2}[/frac

505-555 (Easy) | Exponents, Roots

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

Ravixxx

12 May 2020, 13:32

9

4

2,864

by: bumpbot

06 Dec 2022, 08:44

ER

If (-64)^(1/n) = -4, then what is the value of n?

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

Bunuel

08 Sep 2021, 04:39

2

3

2,267

by: bumpbot

06 Oct 2022, 07:26

If k is a two-digit number that is both a square of an integer and th

505-555 (Easy) | Roots

505-555 (Easy) | Roots hide tags

Carcass

16 Sep 2022, 00:29

2

3

2,392

by: av1901

16 Sep 2022, 06:54

ER

If x > 0 and y > 0, which of the following is equivalent to x/y*(y/x)

Sub 505 (Easy) | Algebra, Roots

Sub 505 (Easy) | Algebra, Roots hide tags

Bunuel

26 Jun 2018, 05:32

4

3

11,647

by: bumpbot

31 Aug 2022, 23:31

ER

For all positive numbers x, Δx is defined as the cube root of x, and ∇

Sub 505 (Easy) | Exponents, Roots

Sub 505 (Easy) | Exponents, Roots hide tags

Bunuel

11 Feb 2022, 04:15

2

5,196

by: BrushMyQuant

08 Aug 2022, 00:47