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

ER

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

If (x - 3)^2 = 225, which of the following could be the

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

Carcass

24 Feb 2013, 16:57

31

17

12,025

by: bumpbot

21 Jan 2025, 23:02

ER

Which of the following is equal to (12 + sqrt(28)) / (sqrt(9 +7))

505-555 (Easy) | Roots

505-555 (Easy) | Roots hide tags

andrewjohn8

20 Jul 2024, 14:36

6

4

5,650

by: Bunuel

21 Jan 2025, 00:02

ER

((1 + 17/64)^(1/2))^(1/2)

555-605 (Medium) | Roots

555-605 (Medium) | Roots hide tags

Bunuel

06 May 2021, 11:04

1

3

3,671

by: BrushMyQuant

20 Jan 2025, 05:43

ER

463^(1/2) is between

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

JustinDragna

12 Aug 2012, 09:31

49

12

24,424

by: bumpbot

19 Jan 2025, 22:40

ER

√2450 =

Sub 505 (Easy) | Arithmetic, Roots

Sub 505 (Easy) | Arithmetic, Roots hide tags

Bunuel

11 Mar 2018, 21:01

17

7

6,406

by: ManifestDreamMBA

17 Jan 2025, 07:58

The value of (2^5*3^2*5^2)^1/2 is between which of the follo

505-555 (Easy) | Arithmetic, Roots

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

tonebeeze

11 Oct 2013, 03:04

11

4

9,623

by: ManifestDreamMBA

16 Jan 2025, 10:48

ER

[[x]] is equal to the lesser of the two integer values closest to non-

805+ (Hard) | Algebra +3 tags

805+ (Hard) | Algebra, Functions and Custom Characters, Number Properties, Roots hide tags

Bunuel

15 Apr 2015, 04:21

97

6

11,354

by: BrushMyQuant

14 Jan 2025, 03:36

ER

Which value(s) of x satisfies the equation above?

655-705 (Hard) | Algebra, Roots

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

mikemcgarry

09 May 2013, 12:20

78

18

15,803

by: bumpbot

09 Jan 2025, 11:36

ER

√(9 + 4√5) + √(30 − 10√5)

705-805 (Hard) | Roots

705-805 (Hard) | Roots hide tags

Russ19

29 Jun 2021, 07:03

27

3

3,633

by: BrushMyQuant

07 Jan 2025, 05:10

ER

What is the value of 3(root5(root3(...), where the given expression

705-805 (Hard) | Algebra, Roots

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

Bunuel

17 Jun 2020, 05:48

21

6

6,080

by: HarshavardhanR

02 Jan 2025, 00:27

ER

((7^(1/2))^x)^2/(7^(1/2))^11)/(7^x/7^11)

555-605 (Medium) | Algebra +2 tags

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

Bunuel

24 Jul 2019, 02:28

18

6

4,596

by: thxobl

01 Jan 2025, 15:34

ER

If b and c are positive integers such that (11 + b√c)^(1/2)

655-705 (Hard) | Algebra, Roots

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

Bunuel

28 Jan 2022, 05:15

11

3

2,633

by: BrushMyQuant

28 Dec 2024, 07:20

ER

If 1/(x*sqrt(3)) = sqrt(2)/24, x is ?

555-605 (Medium) | Roots

555-605 (Medium) | Roots hide tags

Kavicogsci

24 Aug 2024, 21:54

3

2

2,151

by: BrushMyQuant

27 Dec 2024, 20:49

ER

12 Days of Christmas GMAT Competition - Day 6: If x is a positive

655-705 (Hard) | Functions and Custom Characters, Roots

655-705 (Hard) | Functions and Custom Characters, Roots hide tags

Bunuel

23 Dec 2024, 09:00

17

9

5,634

by: Lizaza

24 Dec 2024, 08:58

ER

What is 63^(1/2)/147^(1/2)

555-605 (Medium) | Roots

555-605 (Medium) | Roots hide tags

Bunuel

22 Jun 2017, 23:47

16

17

7,425

by: bumpbot

10 Dec 2024, 03:30

ER

Which of the following numbers is closest to 100*(11-sqrt(119)) ?

805+ (Hard) | Fractions and Ratios +2 tags

805+ (Hard) | Fractions and Ratios, Inequalities, Roots hide tags

fskilnik

14 Feb 2019, 13:56

37

5

4,174

by: bumpbot

22 Nov 2024, 23:18

ER

Which of the following statements is true?

705-805 (Hard) | Inequalities, Roots

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

Bunuel

14 Sep 2010, 05:18

20

7

4,955

by: bumpbot

22 Nov 2024, 03:16

ER

1/(√9 − √7) − 1/(√7 − √5) + 1/(√5 − √3) − 1/(√3 − √1) =

655-705 (Hard) | Roots

655-705 (Hard) | Roots hide tags

Russ19

12 Apr 2021, 08:29

16

4

3,078

by: Bunuel

17 Nov 2024, 13:34

ER

What is √1323+√588+√243?

555-605 (Medium) | Arithmetic, Roots

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

Bunuel

11 May 2017, 03:10

35

9

10,780

by: bumpbot

14 Nov 2024, 11:03

What is the value of (12×32×54)^(1/2)?

505-555 (Easy) | Roots

505-555 (Easy) | Roots hide tags

Kavicogsci

24 Aug 2024, 21:40

2

2,296

by: Mkrishnabdrr

23 Oct 2024, 16:31

ER

Which of the following expressions is equivalent to (s^2 + 9)^(-1/2) ?

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

Bunuel

22 Mar 2018, 23:43

8

6

4,639

by: bumpbot

22 Oct 2024, 05:45

ER

GMAT Club Around The World!!! If square root of a = 3 and square root

Sub 505 (Easy) | Algebra, Roots

Sub 505 (Easy) | Algebra, Roots hide tags

Bunuel

31 Dec 2020, 08:15

12

15

5,635

by: bumpbot

22 Oct 2024, 05:20

ER

If xy≠0, and √x−y=√x−√y, which of the following must be

705-805 (Hard) | Algebra, Roots

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

BrentGMATPrepNow

23 Sep 2019, 09:07

62

10

9,077

by: bumpbot

20 Oct 2024, 02:44

ER

If 512^(1/n) = 4*2^(1/n), then n = ?

555-605 (Medium) | Algebra, Roots

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

Bunuel

11 Feb 2019, 00:41

20

4

3,261

by: bumpbot

15 Oct 2024, 09:59

ER

If xy>0, which of the following must be positive?

555-605 (Medium) | Exponents, Roots

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

Bunuel

11 May 2017, 03:03

16

11

7,536

by: bumpbot

14 Oct 2024, 05:49

ER

The expression (57-40*2^(1/2))^(1/2) - (57+40*2^(1/2))^(1/2) is equal

805+ (Hard) | Roots

805+ (Hard) | Roots hide tags

Bunuel

01 Oct 2022, 13:32

9

3

2,674

by: bumpbot

11 Oct 2024, 13:13

ER

Which of the following is closest to √0.08?

505-555 (Easy) | Arithmetic, Roots

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

MathRevolution

24 Jan 2017, 02:51

30

8

6,212

by: bumpbot

08 Oct 2024, 17:18

ER

If 1/x = 0.25^(1/2), what does x equal?

Sub 505 (Easy) | Algebra, Roots

Sub 505 (Easy) | Algebra, Roots hide tags

Bunuel

04 Mar 2018, 23:20

13

9

6,074

by: bumpbot

05 Oct 2024, 16:07

ER

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

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

Bunuel

25 Sep 2024, 01:30

19

7

2,119

by: Chibvike

01 Oct 2024, 21:15

ER

If r > 0, then (0.25r^6)^(1/2) =

505-555 (Easy) | Algebra, Roots

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

Bunuel

26 Aug 2022, 10:15

4

2

2,642

by: bumpbot

01 Oct 2024, 16:57

ER

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

555-605 (Medium) | Algebra, Roots

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

Bunuel

18 May 2021, 21:00

7

4

3,274

by: bumpbot

01 Oct 2024, 16:57

ER

Which of the following is the value of 0.000001 ?

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

Bunuel

15 Jul 2021, 08:45

11

3

2,732

by: bumpbot

21 Sep 2024, 10:43

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

6,398

by: bumpbot

16 Sep 2024, 05:36

ER

If a^(1/2) = 3 and b^(1/2) = 4, then (a^(1/2) + b^(1/2)/(a + b)^(1/2)

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

LakerFan24

13 Mar 2018, 21:18

5

2

2,396

by: bumpbot

15 Sep 2024, 18:40

ER

Which of the following is the reciprocal of 2^(1/2)

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

Bunuel

08 Jan 2017, 07:43

8

6

3,836

by: bumpbot

15 Sep 2024, 18:39

ER

Which of the following is the value of \sqrt{\sqrt{0.0081}}?

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

Bunuel

06 Dec 2015, 12:02

3

5

4,437

by: bumpbot

15 Sep 2024, 18:39

ER

Which of the following is ranked in increasing order from left to righ

705-805 (Hard) | Roots

705-805 (Hard) | Roots hide tags

Ekland

03 May 2021, 06:20

11

2

3,541

by: bumpbot

11 Sep 2024, 01:50

ER

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

655-705 (Hard) | Roots

655-705 (Hard) | Roots hide tags

Bunuel

06 Jul 2017, 23:30

24

9

7,244

by: bumpbot

09 Sep 2024, 21:44

ER

((a^2)^6)^(1/3) = ?

Sub 505 (Easy) | Exponents, Roots

Sub 505 (Easy) | Exponents, Roots hide tags

Bunuel

02 Jul 2020, 02:44

6

2,430

by: bumpbot

09 Sep 2024, 18:48

ER

Find the value of ((3^48)^(1/3))^(1/2)

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

Bunuel

04 Apr 2022, 04:45

5

3

1,855

by: bumpbot

09 Sep 2024, 18:41

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

4,216

by: bumpbot

08 Sep 2024, 12:20

ER

Of the following, the closest approximation of 12.45*20.12/99.71 is

555-605 (Medium) | Roots

555-605 (Medium) | Roots hide tags

Bunuel

20 Jul 2021, 06:45

8

2

2,460

by: bumpbot

07 Sep 2024, 07:18

(23 + 5) * (23 - 5) = ?

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

Kavicogsci

24 Aug 2024, 22:13

3

2

1,357

by: Ayeka

05 Sep 2024, 10:15

((49)(137) (56)(49))^(1/2)

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

Kavicogsci

24 Aug 2024, 22:22

2

1

1,400

by: Chibvike

04 Sep 2024, 08:00

ER

What is the value of (8^(1/6))^2?

Sub 505 (Easy) | Exponents, Roots

Sub 505 (Easy) | Exponents, Roots hide tags

Bunuel

05 Jan 2017, 03:57

4

7

3,403

by: bumpbot

03 Sep 2024, 15:51

ER

(8 + 44) - (8 - 44) = ?

705-805 (Hard) | Algebra, Roots

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

Bunuel

19 Jan 2023, 14:13

16

4

4,684

by: BrushMyQuant

30 Aug 2024, 11:15

Square root of 839 is between

555-605 (Medium) | Roots

555-605 (Medium) | Roots hide tags

Kavicogsci

24 Aug 2024, 04:21

2

1

1,198

by: Yoaerez

30 Aug 2024, 04:39

ER

If x ≠ 0, then (x^(-7)/x^(-11))^(-1/2)

Sub 505 (Easy) | Exponents, Roots

Sub 505 (Easy) | Exponents, Roots hide tags

Bunuel

30 Apr 2018, 09:18

4

2,994

by: bumpbot

28 Aug 2024, 17:15

ER

x^(1/2) = 25, then x^3 – x^ 2 =

Sub 505 (Easy) | Algebra +2 tags

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

Bunuel

16 Jan 2021, 12:15

8

4

5,137

by: Bunuel

20 Aug 2024, 23:57

ER

The square root of 61,504 is

Sub 505 (Easy) | Arithmetic, Roots

Sub 505 (Easy) | Arithmetic, Roots hide tags

Bunuel

04 Mar 2018, 23:01

17

9

5,213

by: bumpbot

19 Aug 2024, 23:08