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

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

1,383,314

by: bb

16 Apr 2026, 14:28

ER

5x^2/(x^2)^(1/3)

605-655 (Medium) | Roots

605-655 (Medium) | Roots hide tags

Bunuel

12 May 2017, 04:49

38

14

7,135

by: bumpbot

21 Apr 2026, 17:04

ER

If (13 + 4(10^(1/2))^(1/2) = a^(1/2) + b^(1/2), what is the value of

555-605 (Medium) | Algebra, Roots

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

kevincan

21 Apr 2026, 14:25

0

59

by: kevincan

21 Apr 2026, 14:25

ER

If y=root(3y+4), then the product of all possible solution

705-805 (Hard) | Algebra, Roots

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

1, 2

Prax

20 May 2010, 10:48

204

20

23,854

by: Kinshook

21 Apr 2026, 10:21

ER

What is the value of √99+√33/√99-√33 + √99-√33/√99+√33 ?

605-655 (Medium) | Algebra, Roots

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

Ravixxx

16 Apr 2020, 09:39

15

6

4,290

by: BongBideshini

21 Apr 2026, 07:34

ER

Find the value of a. Given a=√3(√3(√3(√3(√3…….inf.))))

605-655 (Medium) | Algebra +2 tags

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

conty911

19 Nov 2018, 05:01

153

17

115,442

by: bumpbot

20 Apr 2026, 17:24

ER

x(x + 7^(1/2)) = 90. In the equation above, x =

505-555 (Easy) | Algebra, Roots

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

mikemcgarry

17 Oct 2018, 05:04

34

10

10,946

by: bumpbot

18 Apr 2026, 00:57

ER

The expression (root(8 + root(63)) + (root(8 - root(63))^2 =

605-655 (Medium) | Algebra, Roots

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

registerincog

21 Nov 2013, 02:21

72

6

19,559

by: Bunuel

18 Apr 2026, 00:20

ER

If k is a multiple of 4, which of the following is NOT a possible.....

555-605 (Medium) | Algebra +2 tags

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

CAMANISHPARMAR

15 Aug 2018, 06:42

141

8

11,838

by: luisdicampo

16 Apr 2026, 05:35

ER

What is the value of

605-655 (Medium) | Roots

605-655 (Medium) | Roots hide tags

Russ19

23 Mar 2022, 08:05

21

8

3,995

by: Bunuel

15 Apr 2026, 10:44

ER

Which of the following is an integer

555-605 (Medium) | Number Properties, Roots

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

kevincan

09 Apr 2026, 16:31

3

5

289

by: KarishmaB

14 Apr 2026, 22:19

ER

What is the square root of 239,121?

555-605 (Medium) | Number Properties, Roots

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

Bunuel

16 Apr 2015, 04:55

106

14

13,172

by: bumpbot

14 Apr 2026, 22:06

ER

The square root of 636 is between which set of integers?

Sub 505 (Easy) | Arithmetic, Roots

Sub 505 (Easy) | Arithmetic, Roots hide tags

Bunuel

31 Jul 2016, 04:27

3

4

6,291

by: bumpbot

14 Apr 2026, 08:25

ER

0.0001^(1/2)

605-655 (Medium) | Roots

605-655 (Medium) | Roots hide tags

lalania1

24 Nov 2016, 08:31

57

15

15,838

by: bumpbot

13 Apr 2026, 03:01

ER

Which of the following is equal to the square of 5^(root2)

605-655 (Medium) | Exponents, Roots

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

Bunuel

12 Jan 2012, 08:03

95

9

27,513

by: Saks116

12 Apr 2026, 22:01

ER

{1/(4-√t15)}^2=

555-605 (Medium) | Exponents, Roots

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

MHIKER

04 Dec 2020, 10:17

78

7

20,421

by: bumpbot

12 Apr 2026, 02:50

ER

4^(1/4) =

555-605 (Medium) | Roots

555-605 (Medium) | Roots hide tags

Bunuel

10 Apr 2018, 21:58

19

4

6,027

by: bumpbot

12 Apr 2026, 02:07

ER

Which of the following is equal to

555-605 (Medium) | Algebra, Roots

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

Bunuel

15 Aug 2023, 03:00

116

8

27,228

by: bumpbot

11 Apr 2026, 11:55

ER

If x > 0, which of the following is equal to (32x^5)^(1/2)?

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

guddo

28 Jan 2024, 14:10

12

4

6,095

by: bumpbot

11 Apr 2026, 07:35

ER

(√x)x can be expressed as:

Sub 505 (Easy) | Algebra +2 tags

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

Bunuel

10 Apr 2018, 00:08

21

7

6,524

by: bumpbot

11 Apr 2026, 02:43

The square of the difference between the roots of the equation px^2

805+ (Hard) | Algebra, Roots

805+ (Hard) | Algebra, Roots hide tags

gmatophobia

22 Apr 2023, 02:57

13

2

2,596

by: bumpbot

08 Apr 2026, 06:06

ER

If x > 0, then 1\((2x)^(1/2) + x^(1/2)) =

555-605 (Medium) | Algebra, Roots

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

guddo

25 Jan 2024, 12:17

26

4

5,880

by: bumpbot

07 Apr 2026, 12:34

ER

Which of the answer choices properly lists the following in increasing

655-705 (Hard) | Exponents, Roots

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

imhimanshu

12 Apr 2018, 10:26

111

8

14,430

by: bumpbot

07 Apr 2026, 03:38

The number of polynomials p(x) with integer coefficients such that the

805+ (Hard) | Algebra, Roots

805+ (Hard) | Algebra, Roots hide tags

nick1816

28 Nov 2019, 08:35

12

2

2,618

by: bumpbot

06 Apr 2026, 08:38

ER

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

705-805 (Hard) | Exponents, Roots

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

Bunuel

18 Sep 2022, 03:25

59

6

8,581

by: bumpbot

03 Apr 2026, 12:39

ER

The value of (-89)^(1/3) is:

505-555 (Easy) | Roots

505-555 (Easy) | Roots hide tags

Bunuel

08 Oct 2018, 03:15

50

8

18,332

by: bumpbot

03 Apr 2026, 10:55

ER

If (y^10)^(1/10) = -y, and (y^5)^(1/5) >= -y, then which of the

705-805 (Hard) | Inequalities +2 tags

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

Bunuel

11 Mar 2024, 00:01

34

4

2,909

by: bumpbot

02 Apr 2026, 11:31

ER

If x4 – 8x3 + ax2 – bx + 16 = 0 has positive real roots, find a – b.

805+ (Hard) | Algebra, Roots

805+ (Hard) | Algebra, Roots hide tags

DisciplinedPrep

31 Dec 2019, 20:31

40

4

14,841

by: Kinshook

01 Apr 2026, 20:38

ER

Which of the numbers 5/2, 5/2

555-605 (Medium) | Arithmetic, Roots

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

Bunuel

11 Aug 2023, 12:00

88

9

19,750

by: Harsh020

01 Apr 2026, 15:26

ER

If (2+(2+x)^(1/2))^(1/2) +(2-(2+x)^(1/2))^(1/2)=(2x)^(1/2), what is

555-605 (Medium) | Algebra, Roots

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

Bunuel

21 Sep 2022, 06:39

24

10

5,929

by: juliansorre

29 Mar 2026, 11:26

ER

What is the product of all values of x that satisfies the equation:

555-605 (Medium) | Algebra, Roots

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

EgmatQuantExpert

17 Jul 2024, 07:06

68

11

13,011

by: bumpbot

28 Mar 2026, 05:43

ER

If the expression x=sqrt(6+sqrt(6+sqrt(6+sqrt(6+...) extends to an

555-605 (Medium) | Algebra, Roots

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

Carcass

01 Sep 2022, 03:26

19

6

7,759

by: egmat

26 Mar 2026, 00:51

ER

If (3 - 2x)^(1/2) = (2x)^(1/2) + 1, then 4x^2 =

705-805 (Hard) | Algebra, Roots

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

Bunuel

09 Jul 2012, 03:23

743

19

134,649

by: bhanu29

25 Mar 2026, 11:17

ER

What is the smallest integer greater than (5 + 3) / (5 3

705-805 (Hard) | Algebra +2 tags

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

kevincan

24 Mar 2026, 05:00

2

3

378

by: poojaarora1818

24 Mar 2026, 11:39

ER

If (49-x^2)^(1/2)-(25-x^2)^(1/2)=3. What is the value of (49-x^2)^(1/2

705-805 (Hard) | Algebra, Roots

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

Bunuel

13 May 2019, 02:49

61

4

5,438

by: bumpbot

23 Mar 2026, 01:43

ER

2*10^(1/3) =

505-555 (Easy) | Roots

505-555 (Easy) | Roots hide tags

guddo

30 Jan 2024, 10:55

14

2

4,707

by: bumpbot

19 Mar 2026, 08:55

ER

If (25^(1/3))^x = 5, then x =

Sub 505 (Easy) | Exponents, Roots

Sub 505 (Easy) | Exponents, Roots hide tags

Bunuel

21 May 2021, 06:15

7

4

2,551

by: bumpbot

18 Mar 2026, 22:20

ER

If (9x - 1)^(1/2) = (4x)^(1/2), then x =

Sub 505 (Easy) | Algebra, Roots

Sub 505 (Easy) | Algebra, Roots hide tags

guddo

30 Jan 2024, 09:07

3

2

4,597

by: bumpbot

17 Mar 2026, 11:31

ER

Let t be the smallest integer greater than 7 times the squar

805+ (Hard) | Roots

805+ (Hard) | Roots hide tags

kevincan

14 Mar 2026, 10:01

2

253

by: kevincan

17 Mar 2026, 00:28

ER

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

Sub 505 (Easy) | Algebra +2 tags

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

Bunuel

17 Mar 2022, 04:30

5

6

2,497

by: bumpbot

16 Mar 2026, 17:32

ER

If a is the integer portion of (11+72^(1/)^(1/2) and b is the decimal

805+ (Hard) | Algebra, Roots

805+ (Hard) | Algebra, Roots hide tags

Bunuel

27 Mar 2023, 11:45

26

4

3,074

by: bumpbot

14 Mar 2026, 02:48

ER

What is the value of integer n if (√(16/(10^n)))^2 = 0.04^2

555-605 (Medium) | Algebra, Roots

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

EBITDA

09 Aug 2016, 05:53

41

14

15,505

by: bumpbot

11 Mar 2026, 06:12

ER

If sqrt(2 sqrt(2 sqrt(2))) = 2^p, what is the value of p? A

555-605 (Medium) | Exponents, Roots

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

kevincan

10 Mar 2026, 09:21

3

383

by: poojaarora1818

10 Mar 2026, 12:41

ER

If x is an odd integer and y = x(x+1)(x-1), which of the following mus

655-705 (Hard) | Exponents +4 tags

655-705 (Hard) | Exponents, Multiples and Factors, Must or Could be True, Number Properties, Roots hide tags

Bunuel

04 Jul 2019, 08:00

83

13

14,997

by: luisdicampo

10 Mar 2026, 10:06

ER

(4*80^(1/2) + 4/(9 + 4*5^(1/2))^(1/2) = ?

605-655 (Medium) | Roots

605-655 (Medium) | Roots hide tags

Bunuel

31 Mar 2022, 02:30

15

3

6,684

by: luisdicampo

10 Mar 2026, 09:59

ER

If the expression x=sqrt(2+sqrt(2+sqrt(2+sqrt(2+...) extends to an

555-605 (Medium) | Algebra, Roots

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

jakolik

13 Mar 2019, 04:00

326

15

171,823

by: velvetwhisper

10 Mar 2026, 09:50

ER

What is the value of [m][fraction]1/2[/fraction][square_root]√21+12√3[

655-705 (Hard) | Arithmetic, Roots

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

Ravixxx

29 May 2020, 10:20

69

5

6,386

by: luisdicampo

10 Mar 2026, 09:34

ER

√243 + √75 =

Sub 505 (Easy) | Algebra, Roots

Sub 505 (Easy) | Algebra, Roots hide tags

Bunuel

18 May 2021, 08:45

6

2,528

by: bumpbot

09 Mar 2026, 16:45

ER

Of the following, which is most nearly equal to but not greater than

605-655 (Medium) | Arithmetic, Roots

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

Bunuel

01 Sep 2016, 03:57

39

3

8,625

by: nischaysetthi

07 Mar 2026, 09:50

ER

If x = (3^(1/2) +1)/(3^(1/2) - 1), what is x - 1/x?

555-605 (Medium) | Algebra +2 tags

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

Bunuel

31 Jul 2023, 11:45

13

4

3,729

by: bumpbot

07 Mar 2026, 05:11

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

996

23

80,160

by: totaltestprepNick

01 Mar 2026, 14:27