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

151,820

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

312,309

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

1,383,539

by: bb

16 Apr 2026, 14:28

ER

What is (1331)^(1/2)/(396^(1/2) + 275^(1/2))

555-605 (Medium) | Roots

555-605 (Medium) | Roots hide tags

Ekland

13 Feb 2016, 04:00

30

12

11,302

by: bumpbot

24 Sep 2025, 22:50

ER

(√5+√5)(√5−√5)^2 =

605-655 (Medium) | Algebra, Roots

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

Bunuel

23 Oct 2018, 23:59

27

6

9,284

by: bumpbot

15 Sep 2025, 02:16

ER

What is the value of the following expression:

655-705 (Hard) | Algebra, Roots

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

Bunuel

10 Apr 2020, 08:54

84

5

9,106

by: bumpbot

13 Sep 2025, 02:45

ER

Which of the following is closest to (2.3*10^9)^(1/2)?

555-605 (Medium) | Arithmetic, Roots

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

Bunuel

10 Sep 2025, 01:26

7

4

1,049

by: findingmyself

10 Sep 2025, 19:25

ER

The function f is defined by f(x) = x^(1/2) - 10 for all positive numb

Sub 505 (Easy) | Exponents, Roots

Sub 505 (Easy) | Exponents, Roots hide tags

Bunuel

22 Jun 2018, 01:29

197

13

54,006

by: bumpbot

10 Sep 2025, 03:36

ER

What is the decreasing order from left to right of the following numbe

805+ (Hard) | Number Properties, Roots

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

Bunuel

12 Nov 2019, 03:41

61

6

6,853

by: bumpbot

08 Sep 2025, 05:13

ER

If (4 + x^1/2) =(x + 2) , then x could be equal to which of the foll

555-605 (Medium) | Algebra, Roots

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

Bunuel

06 Nov 2014, 09:26

106

12

27,326

by: bumpbot

07 Sep 2025, 06:24

ER

(42/(3 + 3^(1/2)) + 4 + 147^(1/2))^(1/2) =

555-605 (Medium) | Roots

555-605 (Medium) | Roots hide tags

Bunuel

14 Feb 2023, 23:54

9

2

3,159

by: bumpbot

06 Sep 2025, 03:44

ER

Which of the following is equal to 2^(1/2) * (64 + 16)^(1/2) ?

505-555 (Easy) | Roots

505-555 (Easy) | Roots hide tags

siddhantvarma

15 Apr 2025, 06:33

6

3

2,965

by: Shreyaarora

06 Sep 2025, 02:57

ER

Which of the following is the value of 1/(2^(1/2) + 1)

555-605 (Medium) | Algebra, Roots

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

Bunuel

10 Aug 2023, 06:00

188

5

34,067

by: Aboyhasnoname

05 Sep 2025, 04:51

ER

If a = 1/5 + 1/3 - 1/2, b =1/5 - 1/3 + 1/2, c = -1/5 + 1/3 + 1/2

605-655 (Medium) | Arithmetic, Roots

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

Bunuel

08 Jun 2023, 07:00

18

4

4,320

by: bumpbot

03 Sep 2025, 12:27

ER

The value of the expression above is closest to which of the following

655-705 (Hard) | Arithmetic, Roots

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

Russ19

20 Jan 2020, 08:46

19

6

5,688

by: bumpbot

03 Sep 2025, 11:17

ER

What is (x^2y^2)^1/2 if x < 0 and y > 0 ?

555-605 (Medium) | Absolute Values, Roots

555-605 (Medium) | Absolute Values, Roots hide tags

nehamodak

17 Jul 2014, 01:04

364

16

31,955

by: bumpbot

02 Sep 2025, 02:34

ER

sqrt(5)+sqrt(3)) / (sqrt(5)-sqrt(3)) =

505-555 (Easy) | Roots

505-555 (Easy) | Roots hide tags

chets

13 Sep 2005, 13:36

30

11

76,250

by: bumpbot

01 Sep 2025, 15:35

ER

The expression (1/((8 - 63^(1/2))^(1/2) + 1/((8 + 63^(1/2))^(1/2))^2 =

605-655 (Medium) | Roots

605-655 (Medium) | Roots hide tags

Bunuel

16 Nov 2021, 09:45

24

6

3,477

by: bumpbot

01 Sep 2025, 12:25

ER

What is the value of 1/(1 + 2^(1/2)) + 1/(2^(1/2) + 3^(1/2)) + 1/(2016

605-655 (Medium) | Algebra, Roots

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

Bunuel

23 Jun 2020, 01:50

52

11

8,321

by: bumpbot

01 Sep 2025, 11:20

ER

If 100!*100!../99!99!... , then what is the value of x ?

705-805 (Hard) | Roots

705-805 (Hard) | Roots hide tags

Bunuel

03 Oct 2022, 02:11

32

7

7,839

by: Kinshook

01 Sep 2025, 01:51

ER

Simplify (x*(x*(x*x^(1/2)))^(1/3))^(1/3))^(1/3)

605-655 (Medium) | Roots

605-655 (Medium) | Roots hide tags

Bunuel

19 Mar 2019, 02:17

30

4

4,149

by: bumpbot

31 Aug 2025, 10:52

ER

If x and y are positive integers less than 10

605-655 (Medium) | Roots

605-655 (Medium) | Roots hide tags

BrentGMATPrepNow

28 May 2018, 11:11

46

6

7,500

by: bumpbot

31 Aug 2025, 09:58

ER

Which of the following is equal to 75 + 23 ?

Sub 505 (Easy) | Algebra, Roots

Sub 505 (Easy) | Algebra, Roots hide tags

Bunuel

31 Jan 2023, 07:32

4

2

2,576

by: bumpbot

31 Aug 2025, 04:36

ER

What is the value of 5^(1/5)*5^(2/5)*5^(3/5)*5^(4/5)

Sub 505 (Easy) | Algebra +3 tags

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

greatchap

11 Dec 2013, 08:02

23

8

10,795

by: bumpbot

25 Aug 2025, 14:54

ER

If k and x are positive integers and x is divisible by 6

655-705 (Hard) | Number Properties, Roots

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

1, 2

Burnkeal

29 Oct 2010, 17:10

229

24

44,026

by: ablatt4

25 Aug 2025, 14:46

ER

If each expression under the square root is greater than or

805+ (Hard) | Algebra, Roots

805+ (Hard) | Algebra, Roots hide tags

1, 2

Bunuel

01 Mar 2025, 02:04

781

22

55,857

by: ablatt4

25 Aug 2025, 14:21

ER

If the 5 numbers listed above are denoted

705-805 (Hard) | Arithmetic, Roots

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

gmatophobia

29 Dec 2023, 10:47

146

14

20,148

by: Nik091495

24 Aug 2025, 03:43

ER

(5^(1/2) + 3^(1/2))/(5^(1/2) - 3^(1/2)) =

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

guddo

03 Jan 2024, 09:03

8

3

3,731

by: ablatt4

22 Aug 2025, 12:31

ER

(2^2 + 2^3 + 2^4 + 2^5)/((5^(1/2) + 3^(1/2))(5^(1/2) -3^(1/2))) =

Sub 505 (Easy) | Exponents, Roots

Sub 505 (Easy) | Exponents, Roots hide tags

Bunuel

27 Oct 2021, 03:15

9

3

3,697

by: ablatt4

22 Aug 2025, 12:26

ER

2^(1/2) + 1/(2 + 2^(1/2)) - 1/(2^(1/2) - 2) = ?

555-605 (Medium) | Roots

555-605 (Medium) | Roots hide tags

Kdel425

17 May 2025, 11:16

28

4

8,126

by: ablatt4

22 Aug 2025, 12:16

ER

If n is an integer greater than 1, what is the value of 10(root10)

705-805 (Hard) | Algebra, Roots

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

Bunuel

17 Jun 2020, 05:48

70

8

9,929

by: ablatt4

22 Aug 2025, 08:53

ER

What is the value of (sqrt(24 + 5 sqrt(23)))(sqrt(24 - 5 sqrt(23))?

605-655 (Medium) | Algebra, Roots

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

juliahamm24

07 Feb 2021, 09:27

73

5

11,100

by: ablatt4

22 Aug 2025, 08:47

ER

Which of the following is the value of ((0.064)^1/3)^2[

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

sm1510

07 Dec 2021, 06:28

18

6

4,340

by: CareerLauncherMBA

22 Aug 2025, 00:09

ER

If (x+1)^{1/3}-{1}{3}x(x+1)^{-2/3}}{(x+1)^{2/3}}=0 then x =

655-705 (Hard) | Algebra +2 tags

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

Scyzo

27 Jan 2017, 03:36

41

10

6,340

by: bumpbot

17 Aug 2025, 12:15

ER

If (1 p) is a root of quadratic equation x^2 + px + (1 p) = 0 then

705-805 (Hard) | Algebra +2 tags

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

Bunuel

13 Mar 2020, 01:58

38

8

10,092

by: bumpbot

16 Aug 2025, 07:41

ER

If √√√(3x) = 4√(2x), what is the greatest possible value of x?

555-605 (Medium) | Algebra, Roots

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

Bunuel

07 Dec 2018, 02:35

39

10

12,058

by: bumpbot

16 Aug 2025, 03:46

ER

Which of the following is closest in value to √7.5×32×3125?

655-705 (Hard) | Arithmetic, Roots

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

Bunuel

22 Apr 2018, 22:10

31

9

9,692

by: bumpbot

16 Aug 2025, 03:13

ER

If x = 4 and y = 6, then (x^(1/2) + y^(1/2))/(x+y)^(1/2)

555-605 (Medium) | Algebra, Roots

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

Bunuel

05 Sep 2017, 01:19

38

9

6,625

by: bumpbot

16 Aug 2025, 02:29

ER

If f(x) = (x^2 5x + 6)^(1/2), which of the following indicates the

555-605 (Medium) | Functions and Custom Characters +2 tags

555-605 (Medium) | Functions and Custom Characters, Number Properties, Roots hide tags

Bunuel

11 Dec 2020, 11:30

32

6

5,448

by: bumpbot

16 Aug 2025, 02:08

ER

Which of the following is the best approximation of

555-605 (Medium) | Arithmetic, Roots

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

ksharma12

01 Jul 2010, 13:33

66

7

20,423

by: bumpbot

16 Aug 2025, 01:55

ER

Rank those three in order from smallest to biggest.

655-705 (Hard) | Roots

655-705 (Hard) | Roots hide tags

mikemcgarry

27 Sep 2016, 17:20

21

6

6,065

by: bumpbot

15 Aug 2025, 08:14

ER

If z^2 = (2+(2+(2+(2+...)^(1/2))^(1/2))^(1/2))^(1/2), where the given

705-805 (Hard) | Algebra, Roots

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

niteshwaghray

26 Aug 2019, 02:23

52

7

7,916

by: Kinshook

14 Aug 2025, 01:28

ER

What are the greatest and the least number, respectively from the list

655-705 (Hard) | Roots

655-705 (Hard) | Roots hide tags

Bunuel

10 Aug 2021, 04:45

30

3

3,541

by: bumpbot

07 Aug 2025, 10:36

ER

The value of the expression above is closest to which of the following

655-705 (Hard) | Arithmetic, Roots

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

Russ19

06 Aug 2025, 23:59

12

5

3,993

by: Bunuel

07 Aug 2025, 02:38

ER

In the equation 3r^{4}=(2/s), if r is doubled, then s must be

605-655 (Medium) | Roots

605-655 (Medium) | Roots hide tags

petu

14 Jun 2015, 08:35

35

6

7,258

by: bumpbot

05 Aug 2025, 17:02

ER

[24+ 5(23)^1/2)]^1/2 + [24- 5(23)^1/2)]^1/2 lies between:

705-805 (Hard) | Algebra, Roots

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

mneeti

22 Jan 2025, 15:27

67

19

17,030

by: bumpbot

02 Aug 2025, 08:32

ER -1

Which of the following is equal to (2^33/2)^3?

555-605 (Medium) | Exponents, Roots

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

bgbeidas

09 Jul 2025, 11:36

154

3

84,177

by: DanTheGMATMan

31 Jul 2025, 15:55

ER

If x + y = 7 and x - y = 5, what is the value of xy?

505-555 (Easy) | Algebra, Roots

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

Bunuel

18 Nov 2023, 06:39

28

3

4,066

by: Rahilgaur

30 Jul 2025, 23:14

ER

(400^(1/2))^3/2

Sub 505 (Easy) | Algebra +2 tags

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

Bunuel

03 Jan 2017, 02:43

10

5

5,404

by: bumpbot

30 Jul 2025, 20:41

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

94

10

11,040

by: Bunuel

27 Jul 2025, 04:38

ER

What is the value of 1/(2 + 1) + 1/(3 + 2) + 1/(4 + 3) + +

655-705 (Hard) | Algebra +2 tags

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

Bunuel

28 Jun 2023, 03:00

37

2

5,234

by: bumpbot

26 Jul 2025, 11:11

ER

What is the value of the expression below:

655-705 (Hard) | Algebra, Roots

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

Bunuel

11 Jan 2022, 03:45

22

3

4,864

by: BrushMyQuant

26 Jul 2025, 05:20

ER

What is the value of the expression 3*80^(1/2) - 2*5^(1/2)?

Sub 505 (Easy) | Algebra, Roots

Sub 505 (Easy) | Algebra, Roots hide tags

Bunuel

05 May 2022, 04:30

8

3

2,832

by: BrushMyQuant

26 Jul 2025, 04:45