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

151,206

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

1,383,315

by: bb

16 Apr 2026, 14:28

ER

Which of the following is closest to (8^2 − 4^2)^(1/2) ?

Sub 505 (Easy) | Arithmetic, Roots

Sub 505 (Easy) | Arithmetic, Roots hide tags

Bunuel

15 Oct 2019, 03:36

11

3

7,581

by: bumpbot

18 Feb 2025, 06:01

ER

(16 + 16)^1/2 =

Sub 505 (Easy) | Algebra, Roots

Sub 505 (Easy) | Algebra, Roots hide tags

Bunuel

14 Jan 2014, 01:04

21

6

28,321

by: bumpbot

12 Feb 2025, 05:36

ER

What is the value of [m](\sqrt[3]{\sqrt{\sqrt[3]{512}}})^2[/m]

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

Bunuel

10 May 2017, 11:57

20

7

9,520

by: bumpbot

12 Feb 2025, 04:25

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

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 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

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

((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

(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

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

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

ER

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

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 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

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

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

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 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

2,516

by: bumpbot

11 Jan 2024, 11:27

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

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

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

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

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

11,646

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

ER

[[({1/4}^1/2)({1/4}^1/2)]^1/2]^2 =

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

Bunuel

11 Apr 2022, 03:45

2

1,842

by: Boho

11 Apr 2022, 05:36

ER

(27)^(1/3)/(9)^(1/2) =

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

sm1510

16 Mar 2021, 05:47

1

5

3,469

by: Abhishek009

21 Mar 2022, 09:28

ER

What is 363^(1/2) + 147^(1/2) + 27^(1/2)

Sub 505 (Easy) | Algebra, Roots

Sub 505 (Easy) | Algebra, Roots hide tags

vikasp99

25 Feb 2017, 07:05

11

6,739

by: Snehaaaaa

05 Mar 2022, 23:13

ER

[48^(1/2) * 7^(1/2)]/21^(1/2) =

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

Bunuel

05 Jan 2022, 07:15

2

4

2,154

by: BrentGMATPrepNow

08 Jan 2022, 08:06

ER

What is the sum of 12 + 27 ?

Sub 505 (Easy) | Algebra, Roots

Sub 505 (Easy) | Algebra, Roots hide tags

Bunuel

04 Mar 2018, 23:03

5

10

4,280

by: bumpbot

04 Jan 2022, 09:41

ER

Which of the following is nearest in value to 664^(1/2) + 414^(1/2)?

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

Bunuel

15 Oct 2021, 02:45

1

3

1,950

by: Abhishek009

17 Oct 2021, 01:06

ER

10^(1/2)/2^(1/2) * 5^(1/2)/2^(1/2)=?

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

Bunuel

15 Oct 2021, 03:15

1

1,315

by: 100mitra

15 Oct 2021, 03:51

ER

What is the value of (64^(1/3) + 3^3)/(16)^(1/4)

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

Bunuel

04 Jun 2021, 08:45

2

7

2,273

by: Abhishek009

06 Oct 2021, 02:43