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

151,221

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

312,267

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

1,383,344

by: bb

16 Apr 2026, 14:28

ER

((31 6))(16 + 9))^(1/2) =

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

Bunuel

07 Jul 2022, 15:30

1

2

1,873

by: BrushMyQuant

26 Jul 2025, 04:39

ER

(2 + (2 + (2 + 4^(1/2))^(1/2))^(1/2))^(1/2)

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

Bunuel

17 May 2022, 02:45

3

2

1,635

by: BrushMyQuant

26 Jul 2025, 04:36

ER

81^(1/4) + 64^(1/3) + 24^(1/2) =

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

Bunuel

02 Feb 2022, 07:15

2

2,616

by: BrushMyQuant

26 Jul 2025, 04:33

ER

Which of the following expression is equivalent to 400^(1/2) ?

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

Bunuel

20 Sep 2021, 03:45

2

2,141

by: BrushMyQuant

26 Jul 2025, 02:44

ER

If a > 0 and b > 0, which of the following is equivalent to a/b ÷ a/b

Sub 505 (Easy) | Algebra, Roots

Sub 505 (Easy) | Algebra, Roots hide tags

Bunuel

08 Sep 2021, 04:42

1

2

2,701

by: BrushMyQuant

26 Jul 2025, 02:39

ER

If 2^n = 64, then what is the value of n?

Sub 505 (Easy) | Exponents, Roots

Sub 505 (Easy) | Exponents, Roots hide tags

Bunuel

12 Aug 2021, 07:15

2

2,449

by: BrushMyQuant

25 Jul 2025, 22:16

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45^(1/2) + 80^(1/2) =

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

Bunuel

28 Jul 2022, 02:15

2

1,654

by: BrushMyQuant

25 Jul 2025, 21:57

ER

If [X] denotes the greatest integer less than or equal to x, what is

705-805 (Hard) | Arithmetic +2 tags

705-805 (Hard) | Arithmetic, Functions and Custom Characters, Roots hide tags

Bunuel

25 May 2020, 09:56

42

6

11,975

by: Krunaal

24 Jul 2025, 19:57

ER

If (10x)^(1/2)=10*10^(1/2), and 10^(-5)/10^(-y)=x, what is y?

505-555 (Easy) | Algebra +2 tags

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

Bunuel

16 Feb 2017, 03:23

39

6

7,409

by: bumpbot

20 Jul 2025, 07:30

ER

1/y^(1/3) = ?

555-605 (Medium) | Roots

555-605 (Medium) | Roots hide tags

Bunuel

08 Sep 2021, 04:37

5

3

3,094

by: bumpbot

19 Jul 2025, 09:29

ER

What is the value of (64516)^(1/2)

655-705 (Hard) | Arithmetic, Roots

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

fitzpratik

24 Aug 2017, 20:27

73

14

8,752

by: Khushe

14 Jul 2025, 11:49

ER

If a < b and 1 + 21 + 123 = a + b, then what is the value of a ?

705-805 (Hard) | Algebra, Roots

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

Bunuel

09 Mar 2020, 03:18

79

8

8,829

by: bumpbot

14 Jul 2025, 07:34

ER

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

505-555 (Easy) | Algebra +2 tags

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

Bunuel

26 Aug 2018, 21:11

20

6

6,673

by: Sugoisweet

13 Jul 2025, 16:10

ER

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

805+ (Hard) | Inequalities +2 tags

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

1, 2, 3

noboru

21 Jun 2014, 13:41

306

47

94,108

by: bumpbot

13 Jul 2025, 11:04

ER

If x = 216 and y = 125, what is the value of x2/3 + y2/3 + 2(xy)1/3 +

555-605 (Medium) | Arithmetic, Roots

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

Bunuel

06 Apr 2021, 07:45

20

6

7,418

by: hasanali

12 Jul 2025, 22:21

ER

What is the value of (2.7%)^(1/3) - (0.16%)^(1/4) ?

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

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

Bunuel

01 Sep 2022, 01:25

25

3

5,482

by: BrushMyQuant

12 Jul 2025, 20:16

ER

If (2 -root(5))x = -1, then x=

555-605 (Medium) | Algebra, Roots

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

udaymathapati

23 Aug 2010, 08:49

22

7

10,061

by: BrushMyQuant

12 Jul 2025, 07:36

ER

What is the value of ((49%)^(1/2)) - (7/100) ?

505-555 (Easy) | Percent and Interest Problems, Roots

505-555 (Easy) | Percent and Interest Problems, Roots hide tags

Bunuel

29 Sep 2022, 13:01

7

3

4,025

by: BrushMyQuant

12 Jul 2025, 07:26

ER

Find the value of

705-805 (Hard) | Absolute Values, Roots

705-805 (Hard) | Absolute Values, Roots hide tags

manimani

27 May 2013, 12:12

211

15

18,637

by: bumpbot

11 Jul 2025, 12:08

ER

If 0 < x < 1 and y > 1, (√(x + y − 2√xy) + √(x + y + 2√xy) =

705-805 (Hard) | Algebra, Roots

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

Bunuel

20 Sep 2018, 00:50

66

7

8,699

by: bumpbot

10 Jul 2025, 04:02

ER

If x = ((0.000125/64)^(-2))^(1/3), what is the value of x?

605-655 (Medium) | Roots

605-655 (Medium) | Roots hide tags

Bunuel

13 Oct 2021, 06:15

12

4

4,003

by: Mandrew21

08 Jul 2025, 15:16

ER

If the sum of the square roots of two integers is

605-655 (Medium) | Algebra, Roots

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

Bunuel

30 Oct 2016, 07:36

503

16

34,797

by: Orange2020

28 Jun 2025, 13:13

ER

GMAT Club Olympics 2024 (Day 7): The domain of the function f(x) =

805+ (Hard) | Absolute Values +3 tags

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

Bunuel

16 Jul 2024, 07:00

68

5

9,597

by: Bunuel

25 Jun 2025, 06:36

ER

If z is negative, then [m]\sqrt[4]{(4z-5)^4} + [square_root](3-2z)^2[/

705-805 (Hard) | Absolute Values +2 tags

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

Kushchokhani

17 Feb 2023, 23:07

40

3

5,641

by: bumpbot

22 Jun 2025, 08:33

ER

(1+√3)(√(2 + √3) = ?

705-805 (Hard) | Algebra, Roots

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

Bunuel

11 Nov 2021, 08:15

30

4

5,076

by: bumpbot

20 Jun 2025, 02:56

ER

What is the square root of 12345654321 ?

555-605 (Medium) | Arithmetic +2 tags

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

Bunuel

04 Jan 2021, 04:05

13

5

7,940

by: bumpbot

20 Jun 2025, 02:30

ER

Of the following, which is most nearly equal to √10?

605-655 (Medium) | Arithmetic, Roots

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

anujtsingh

22 Mar 2013, 12:54

80

11

21,859

by: bumpbot

18 Jun 2025, 03:35

ER

√[2√63 + 2/(8+3√7)] =

555-605 (Medium) | Roots

555-605 (Medium) | Roots hide tags

rahulms

21 Jan 2010, 06:31

112

19

34,964

by: bumpbot

16 Jun 2025, 19:55

ER

Which of the following equations is true for all positive values of x

655-705 (Hard) | Algebra +2 tags

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

Princ

25 Oct 2018, 03:05

26

5

11,628

by: bumpbot

14 Jun 2025, 08:11

ER

x^2 + bx – c = 0; b and c are positive integers. u and v are roots of

655-705 (Hard) | Inequalities, Roots

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

nick1816

19 Jun 2019, 16:43

52

11

6,995

by: bumpbot

10 Jun 2025, 03:42

ER

((15 - 4*14^(1/2))^(1/2) + (15 + 4*14^(1/2))^(1/2))^2 =

555-605 (Medium) | Algebra, Roots

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

pepo

12 Apr 2024, 02:08

59

9

13,822

by: bumpbot

08 Jun 2025, 10:45

ER

Which of the following expressions is equivalent to

505-555 (Easy) | Roots

505-555 (Easy) | Roots hide tags

Bunuel

04 Oct 2021, 05:45

7

2

3,149

by: bumpbot

04 Jun 2025, 12:57

ER

If a = (0.404)^3, b = (0.404)^(1/4), and c = 0.404, then which of the

505-555 (Easy) | Roots

505-555 (Easy) | Roots hide tags

Bunuel

28 Feb 2019, 00:17

8

5

3,437

by: bumpbot

04 Jun 2025, 12:30

ER

In the equation above, x =

505-555 (Easy) | Algebra, Roots

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

Bunuel

29 Mar 2017, 02:42

33

8

7,630

by: bumpbot

04 Jun 2025, 12:14

ER

If (2 - sqrt(5))x = -1, then x =

505-555 (Easy) | Algebra, Roots

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

vrajesh

04 Jun 2025, 11:57

26

8

13,172

by: bumpbot

04 Jun 2025, 11:51

ER

sqrt 4^{15} + 4^{15} + 4^{15} + 4^{15} =

505-555 (Easy) | Exponents, Roots

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

BrentGMATPrepNow

05 Sep 2022, 14:48

7

3

3,723

by: bumpbot

04 Jun 2025, 11:37

ER

Of the following, which is the best approximation to 0.0026^1/2 ?

Sub 505 (Easy) | Arithmetic, Roots

Sub 505 (Easy) | Arithmetic, Roots hide tags

abhi758

25 Dec 2014, 02:35

86

14

35,220

by: JLambert

03 Jun 2025, 17:50

ER

What is the value of (6 +\sqrt{6 + \sqrt{6 +...)

555-605 (Medium) | Roots

555-605 (Medium) | Roots hide tags

Bunuel

11 Aug 2021, 06:15

30

4

6,276

by: bumpbot

02 Jun 2025, 06:34

ER

If x = 4 and y = 16, then root[(x+y)/(xy)] is closet to

555-605 (Medium) | Arithmetic, Roots

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

eybrj2

07 Mar 2012, 00:56

85

13

26,085

by: bumpbot

30 May 2025, 22:36

ER

Rank the following quantities in order, from smallest to biggest.

705-805 (Hard) | Roots

705-805 (Hard) | Roots hide tags

Bunuel

13 Mar 2015, 07:44

54

11

10,057

by: Bunuel

30 May 2025, 10:04

ER

If m and n are positive integers, each of the following coul

655-705 (Hard) | Algebra, Roots

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

goodyear2013

26 Jan 2024, 00:52

78

10

16,259

by: bumpbot

29 May 2025, 23:57

ER

The number can be expressed as (63 - 36*3^(1/2))^(1/2) can be expresse

655-705 (Hard) | Algebra, Roots

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

Carcass

25 Jul 2017, 20:39

1.1k

13

76,968

by: DanTheGMATMan

28 May 2025, 11:39

ER

What is the value of ((64)^(1/2)))^(1/2)?

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

Bunuel

03 Jul 2018, 09:22

2

5

2,338

by: ap112

27 May 2025, 00:31

ER

If (x - b)^(1/3) = c^6, then x = ?

Sub 505 (Easy) | Algebra, Roots

Sub 505 (Easy) | Algebra, Roots hide tags

Bunuel

11 Oct 2019, 08:00

11

8

8,093

by: bumpbot

26 May 2025, 17:54

ER

(-1)^(-1/3)(-8)^(-1/3)(-27)^(-1/3)(-64)^(-1/3) =

555-605 (Medium) | Arithmetic +2 tags

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

Bunuel

10 Sep 2017, 05:25

13

5

4,643

by: BrushMyQuant

22 May 2025, 07:18

ER

If x ≥ 0.9, which of the following could be the value of 1/(x^(1/2))

655-705 (Hard) | Number Properties, Roots

655-705 (Hard) | Number Properties, Roots hide tags

Bunuel

20 Sep 2018, 00:57

32

6

7,272

by: bumpbot

13 May 2025, 22:53

ER

What is the value of (\sqrt{7+\sqrt29}-\sqrt{7-[

605-655 (Medium) | Arithmetic, Roots

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

samark

01 Nov 2010, 20:27

83

5

24,009

by: bumpbot

13 May 2025, 05:11

ER

(2^(1/2) + 5^(1/)^2. Which of the following is the best approximation?

505-555 (Easy) | Algebra, Roots

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

IanSolo

11 Oct 2012, 12:56

21

5

13,536

by: kingbucky

12 May 2025, 10:08

ER

What is the value of (10/(3*11^(1/2) + 10) + 30*11^(1/2))^(1/2)

555-605 (Medium) | Algebra, Roots

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

Bunuel

13 Apr 2023, 01:30

9

6

3,340

by: BrushMyQuant

06 May 2025, 05:20

ER

(2+2 * sqrt (6) )/2

Sub 505 (Easy) | Arithmetic +2 tags

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

Bunuel

19 Jan 2014, 23:55

36

16

34,730

by: YolandaSami

04 May 2025, 07:18