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

330

12

153,940

by: ekfdskfe

13 Jul 2025, 19:03

ER

100 Hardest and easiest questions for PS as of April 2026

Bunuel

01 Jan 2026, 05:45

1.2k

8

313,505

by: Shashankksharma

17 Apr 2026, 02:55

ER

GMAT PS Question Directory by Topic & Difficulty

bb

16 Apr 2026, 14:28

3.3k

0

1,387,825

by: bb

16 Apr 2026, 14:28

ER

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

655-705 (Hard) | Roots

655-705 (Hard) | Roots hide tags

Bunuel

05 Oct 2021, 03:15

16

5

3,489

by: bumpbot

21 May 2026, 08:47

ER

If x > 0 and x^(3*x^12)=4, what is the value of x ?

605-655 (Medium) | Exponents, Roots

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

Bunuel

29 Sep 2022, 12:45

102

13

11,324

by: shumalik

17 May 2026, 06:10

ER -1

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

116

8

14,735

by: bumpbot

16 May 2026, 03:55

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

15

35,130

by: PGTLrowanhand

15 May 2026, 04:00

ER

if p^4-49p^2+600=0, what is the sum of the two greatest possible value

655-705 (Hard) | Algebra +3 tags

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

rishabhmishra

19 Mar 2018, 22:28

47

3

7,461

by: bumpbot

14 May 2026, 10:41

ER

A quadratic equation is in the form of x^2–2px + m = 0, where m is

705-805 (Hard) | Algebra +2 tags

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

kiran120680

31 May 2019, 09:17

170

19

12,654

by: Kinshook

14 May 2026, 09:58

ER

(27 + 243)/54 = ?

605-655 (Medium) | Algebra, Roots

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

MathRevolution

01 Jun 2016, 06:47

45

11

12,325

by: RohanNewDelhi

13 May 2026, 04:19

ER -1

If x^2 + bx + 5 = (x + c)^2 for all numbers x, where b and c are posit

505-555 (Easy) | Algebra +2 tags

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

parkhydel

27 Apr 2020, 14:57

241

12

25,780

by: MUB

11 May 2026, 23:19

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

160

18

116,106

by: Bunuel

09 May 2026, 10:29

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

26

6

4,182

by: bumpbot

09 May 2026, 05:54

Which of the following is equal to sqrt{8-4\sqrt3}+\sqr

705-805 (Hard) | Algebra, Roots

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

kevincan1

05 May 2026, 22:36

3

316

by: kevincan1

07 May 2026, 06:25

ER

If x = -(0.2)^(200), then x satisfies which of the following

805+ (Hard) | Arithmetic, Roots

805+ (Hard) | Arithmetic, Roots hide tags

Bunuel

07 Mar 2024, 07:49

42

5

4,962

by: Kinshook

06 May 2026, 00:46

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

03 May 2026, 12:27

55

15

9,084

by: bumpbot

03 May 2026, 12:24

ER

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

655-705 (Hard) | Roots

655-705 (Hard) | Roots hide tags

Bunuel

06 Jul 2017, 23:30

29

9

7,468

by: shahsahil2101

03 May 2026, 06:37

ER -1

PI is a two digit number and PIE is a three digit number, where each

705-805 (Hard) | Algebra +2 tags

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

Bunuel

18 Jun 2020, 07:53

33

4

6,154

by: Adit_

03 May 2026, 04:45

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

42

5

4,322

by: bumpbot

02 May 2026, 11:25

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

99

7

11,508

by: bumpbot

02 May 2026, 05:10

ER

If x is a positive number and sqrt(x + (sqrt(x + sqrt(x + sqrt(x

555-605 (Medium) | Algebra, Roots

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

Bunuel

02 Mar 2020, 06:26

36

5

7,690

by: bumpbot

30 Apr 2026, 23:39

ER

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

555-605 (Medium) | Algebra, Roots

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

joemama142000

06 Feb 2006, 22:32

183

16

44,133

by: bumpbot

29 Apr 2026, 23:31

ER

What is the value of ((20%)/(40%))^(1/2) =

655-705 (Hard) | Percent and Interest Problems, Roots

655-705 (Hard) | Percent and Interest Problems, Roots hide tags

Bunuel

02 Apr 2022, 10:30

33

11

6,368

by: bumpbot

29 Apr 2026, 01:51

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

8

2

3,270

by: BrushMyQuant

27 Apr 2026, 19:02

ER

If v = 2(9.8)m/(0.5j), m=96 and j=4, which of the following most close

505-555 (Easy) | Arithmetic, Roots

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

RSOHAL

08 Nov 2023, 07:13

64

10

17,276

by: bumpbot

27 Apr 2026, 10:31

ER

(16 + 16)^1/2 =

Sub 505 (Easy) | Algebra, Roots

Sub 505 (Easy) | Algebra, Roots hide tags

Bunuel

14 Jan 2014, 01:04

22

6

28,631

by: bumpbot

27 Apr 2026, 10:01

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

10

3

2,789

by: bumpbot

25 Apr 2026, 10:37

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

obs23

28 Jan 2024, 14:18

241

17

40,962

by: bumpbot

25 Apr 2026, 07:32

ER

The variable x is inversely proportional to the square of the variable

605-655 (Medium) | Algebra +2 tags

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

pmklings

18 Sep 2015, 19:04

243

13

30,947

by: bumpbot

25 Apr 2026, 07:31

ER

((99^2 + 101^2)/2 - 1)^(1/4)

555-605 (Medium) | Roots

555-605 (Medium) | Roots hide tags

PareshGmat

08 Jan 2015, 01:42

59

13

8,232

by: bumpbot

25 Apr 2026, 03:44

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

60

6

9,256

by: bumpbot

25 Apr 2026, 03:25

ER

If x=3/4 and y=2/5, what is the value of

705-805 (Hard) | Absolute Values, Roots

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

Bunuel

27 Oct 2012, 04:25

340

18

55,106

by: Adit_

24 Apr 2026, 22:38

ER

IF N=5^5*..., then how many zeroes exist between decimal and first non

705-805 (Hard) | Exponents, Roots

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

CrazyIvan

02 Apr 2015, 09:25

109

13

10,473

by: bumpbot

24 Apr 2026, 21:47

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

1

4

323

by: kevincan

24 Apr 2026, 11:54

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

3

5,334

by: bumpbot

23 Apr 2026, 08:28

ER

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

605-655 (Medium) | Roots

605-655 (Medium) | Roots hide tags

Bunuel

12 May 2017, 04:49

41

14

7,391

by: bumpbot

21 Apr 2026, 17:04

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

209

20

24,105

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

19

6

4,545

by: BongBideshini

21 Apr 2026, 07:34

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

36

10

11,100

by: bumpbot

18 Apr 2026, 00:57

ER

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

555-605 (Medium) | Algebra, Roots

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

registerincog

21 Nov 2013, 02:21

75

6

19,754

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

143

8

12,015

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

4,173

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

384

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

13,305

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

6,395

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

60

15

16,084

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

98

9

27,878

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

79

7

20,579

by: bumpbot

12 Apr 2026, 02:50

ER

4^(1/4) =

505-555 (Easy) | Roots

505-555 (Easy) | Roots hide tags

Bunuel

10 Apr 2018, 21:58

19

4

6,126

by: bumpbot

12 Apr 2026, 02:07

ER

Which of the following is equal to

505-555 (Easy) | Algebra, Roots

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

Bunuel

15 Aug 2023, 03:00

116

8

27,628

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

6,228

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

22

7

6,638

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

2,667

by: bumpbot

08 Apr 2026, 06:06