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

151,225

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

312,269

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

1,383,355

by: bb

16 Apr 2026, 14:28

ER

If x is a positive integer, which of the following CANNOT be the units

Sub 505 (Easy) | Exponents, Number Properties

Sub 505 (Easy) | Exponents, Number Properties hide tags

guddo

29 Jan 2024, 10:25

2

3,582

by: MartyMurray

22 Apr 2026, 16:27

ER

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

505-555 (Easy) | Exponents, Fractions and Ratios

505-555 (Easy) | Exponents, Fractions and Ratios hide tags

GMATinsight

04 Jul 2025, 00:58

10

2

2,304

by: MartyMurray

22 Apr 2026, 15:55

ER

If x = 10^8 and y = 2^4, what is the sum of th

555-605 (Medium) | Exponents

555-605 (Medium) | Exponents hide tags

kevincan

22 Apr 2026, 13:43

2

36

by: nemoexplicabo

22 Apr 2026, 15:32

ER

If x is a real number and 4^(4^4) = 2^(2^x), what is the value of x?

655-705 (Hard) | Exponents

655-705 (Hard) | Exponents hide tags

gmatophobia

24 Feb 2024, 02:54

155

10

18,241

by: PGTLrowanhand

22 Apr 2026, 12:05

ER

Selinas boat loses the same fraction of its value each year

805+ (Hard) | Exponents +2 tags

805+ (Hard) | Exponents, Fractions and Ratios, Word Problems hide tags

kevincan

16 Apr 2026, 03:46

5

4

261

by: Sushant09

22 Apr 2026, 00:19

ER

What is the remainder when 14^(22)+6^(22) is divided by 5

555-605 (Medium) | Arithmetic +4 tags

555-605 (Medium) | Arithmetic, Exponents, Multiples and Factors, Number Properties, Remainders hide tags

chetan2u

23 Nov 2019, 21:42

51

7

5,403

by: TownGrub

21 Apr 2026, 23:47

ER

If (2^n)(3^k)(5^12) is equal to one percent of 60^10, then what

505-555 (Easy) | Arithmetic, Exponents

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

EMPOWERgmatRichC

03 Feb 2024, 09:40

18

8

5,334

by: bumpbot

21 Apr 2026, 22:59

ER

If 3^x - 3^(x - 3) = 2,106, what is the value of x?

555-605 (Medium) | Exponents

555-605 (Medium) | Exponents hide tags

guddo

26 Jan 2024, 02:18

66

8

12,052

by: bumpbot

21 Apr 2026, 13:05

ER

The number of integers values of 'x', for which (3-(10 -x^(1/2)

805+ (Hard) | Exponents, Inequalities

805+ (Hard) | Exponents, Inequalities hide tags

PKN

14 Jul 2018, 08:34

40

6

4,689

by: Adit_

20 Apr 2026, 21:49

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

115,452

by: bumpbot

20 Apr 2026, 17:24

ER

If 8*3^7 = 3^x - 3^(x - 2), what is the value of x?

505-555 (Easy) | Exponents

505-555 (Easy) | Exponents hide tags

Bunuel

14 Apr 2022, 06:45

4

2

1,151

by: bumpbot

20 Apr 2026, 03:34

ER

What is the largest integer value of n for which 98^98 is divisible by

505-555 (Easy) | Exponents, Multiples and Factors

505-555 (Easy) | Exponents, Multiples and Factors hide tags

aashishagarwal2

22 Oct 2023, 02:01

15

3

5,153

by: bumpbot

19 Apr 2026, 14:19

ER

Which of the following are factors of 3^200 5^100?

805+ (Hard) | Algebra +3 tags

805+ (Hard) | Algebra, Exponents, Multiples and Factors, Number Properties hide tags

Bunuel

18 May 2020, 04:38

92

8

9,464

by: bumpbot

19 Apr 2026, 11:36

ER

0.1 + 0.1^2 + 0.1^3 =

Sub 505 (Easy) | Arithmetic, Exponents

Sub 505 (Easy) | Arithmetic, Exponents hide tags

Bunuel

13 Aug 2012, 06:59

121

9

56,120

by: bumpbot

19 Apr 2026, 04:55

ER

If n is a positive integer greater than 1, then 2^{n-1} + 2^

505-555 (Easy) | Algebra, Exponents

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

fozzzy

07 Sep 2013, 06:31

18

7

5,772

by: bumpbot

18 Apr 2026, 01:00

ER

N is the product of all integers from 1 to 75, inclusive. If 10^k is

555-605 (Medium) | Exponents +2 tags

555-605 (Medium) | Exponents, Min-Max Problems, Multiples and Factors hide tags

Bunuel

06 May 2020, 08:26

45

7

8,767

by: danru07

17 Apr 2026, 14:48

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

11,841

by: luisdicampo

16 Apr 2026, 05:35

ER

What is the remainder when (5^42 - 16^342*7^42) divided by 4 ?

605-655 (Medium) | Exponents, Remainders

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

Snehaaaaa

14 Mar 2022, 11:49

8

4

2,917

by: Marcelo7

15 Apr 2026, 16:58

ER

If x = -1 and if n is the sum of the first 404 prime numbers

605-655 (Medium) | Exponents, Number Properties

605-655 (Medium) | Exponents, Number Properties hide tags

MasteringGMAT

29 Jun 2023, 08:32

303

15

42,389

by: bumpbot

15 Apr 2026, 12:45

ER

In a sequence of numbers, every number, except for the first one,

655-705 (Hard) | Exponents, Sequences

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

guguskin

14 Oct 2015, 12:02

7

5

4,810

by: bumpbot

15 Apr 2026, 12:08

ER

If (1/50)^a(1/20)^4 = 1/50 (100)^-6 , a = ?

655-705 (Hard) | Exponents

655-705 (Hard) | Exponents hide tags

ExpertsGlobal5

25 Jan 2026, 22:00

11

5

771

by: Rishm

15 Apr 2026, 09:14

ER

If n is the product of the integers from 1 to 20 inclusive, what is th

Sub 505 (Easy) | Exponents +2 tags

Sub 505 (Easy) | Exponents, Multiples and Factors, Number Properties hide tags

shanewyatt

22 Nov 2009, 18:05

332

17

80,472

by: bumpbot

15 Apr 2026, 07:58

ER

What is the remainder when 2^{18} + 2^4 is divided by 2^7?

655-705 (Hard) | Exponents, Remainders

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

kevincan

14 Apr 2026, 00:22

3

2

171

by: SourNoun

15 Apr 2026, 02:47

ER

If a^m*a^n = a^(mn), what is the value of m(n-2)+n(m-2)?

505-555 (Easy) | Algebra, Exponents

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

GMATBusters

15 Feb 2020, 18:58

14

17

5,867

by: bumpbot

14 Apr 2026, 19:33

ER

Find the remainder when (1!)^2 + (2!)^2 + (3!)^2 + ... + (N!)^2

705-805 (Hard) | Exponents, Remainders

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

tam87

06 May 2020, 14:37

63

9

7,842

by: bumpbot

14 Apr 2026, 09:18

ER

Let n be the least positive integer that has exactly 5 different prime

605-655 (Medium) | Exponents +2 tags

605-655 (Medium) | Exponents, Multiples and Factors, Number Properties hide tags

jcmsf98

23 Apr 2024, 23:04

116

11

15,290

by: Bunuel

13 Apr 2026, 22:03

ER

If an = -1n, what is the sum of all possible values of an if n is any

655-705 (Hard) | Exponents, Sequences

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

MartyMurray

07 Mar 2026, 06:14

35

13

2,769

by: AkshayMetha

13 Apr 2026, 06:39

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

27,518

by: Saks116

12 Apr 2026, 22:01

ER

If 2^98 = 256*m + n, where m and n are integers and

555-605 (Medium) | Exponents, Number Properties

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

Bunuel

26 Oct 2023, 00:36

137

5

24,257

by: Bixy34

12 Apr 2026, 20:29

ER

If a, b, c and d are distinct positive integers such that a^b = c^d

655-705 (Hard) | Algebra +2 tags

655-705 (Hard) | Algebra, Exponents, Min-Max Problems hide tags

Bunuel

12 Jan 2022, 08:15

11

3

4,524

by: bumpbot

12 Apr 2026, 07:30

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

20,424

by: bumpbot

12 Apr 2026, 02:50

ER

If an = (-1)^n/n^2 and bn = (-1)^n + 1/n(n + 1) for all positive integ

655-705 (Hard) | Arithmetic +3 tags

655-705 (Hard) | Arithmetic, Exponents, Number Properties, Sequences hide tags

Bunuel

05 Mar 2024, 01:48

89

3

14,976

by: bumpbot

11 Apr 2026, 20:08

ER

Alvaro invests 1,000 at 6% interest compounded semiannually

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

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

kevincan

25 Mar 2026, 22:24

5

6

496

by: shubh8

11 Apr 2026, 12:18

ER

If 8^(n + 1) + 8^n = 36, then n =

505-555 (Easy) | Exponents

505-555 (Easy) | Exponents hide tags

Bunuel

24 Jan 2018, 23:11

32

5

18,011

by: bumpbot

11 Apr 2026, 09:46

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

6,528

by: bumpbot

11 Apr 2026, 02:43

ER

If N is the product of all positive integers less than 31,

655-705 (Hard) | Exponents, Number Properties

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

TomB

19 Oct 2010, 22:57

283

9

29,931

by: bumpbot

11 Apr 2026, 01:56

ER

If 3^k + 3^k = (3^9)^3^9 3^k, then what is the value of k?

605-655 (Medium) | Algebra, Exponents

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

1, 2

Bunuel

11 Jun 2015, 04:08

175

20

25,110

by: bumpbot

09 Apr 2026, 01:41

ER

If (400)(6,000) = (240)(100^x), what is the value of x ?

Sub 505 (Easy) | Algebra, Exponents

Sub 505 (Easy) | Algebra, Exponents hide tags

Bunuel

14 Oct 2019, 08:02

19

6

10,836

by: bumpbot

07 Apr 2026, 13:02

ER

Find unit digit of N when N = 63^(1! + 2! + ... + 63!) + 18^(1! + 2! +

705-805 (Hard) | Exponents, Number Properties

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

Smallwonder

12 Sep 2013, 05:19

148

12

18,561

by: bumpbot

07 Apr 2026, 09:32

If n = (2^2)(3^4)(5^6), the value of which of the following products

505-555 (Easy) | Exponents

505-555 (Easy) | Exponents hide tags

gjonrexha

20 Dec 2021, 01:52

22

5

10,275

by: bumpbot

07 Apr 2026, 09:31

ER

What is the tens digit of 7^241?

655-705 (Hard) | Exponents

655-705 (Hard) | Exponents hide tags

Bunuel

23 Jul 2019, 07:59

69

16

19,057

by: Deenis94

07 Apr 2026, 06:51

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

14,431

by: bumpbot

07 Apr 2026, 03:38

ER

FlurryKing plans to open a second restaurant in Darby County

655-705 (Hard) | Exponents, Word Problems

655-705 (Hard) | Exponents, Word Problems hide tags

kevincan

06 Apr 2026, 14:35

3

1

202

by: Blindspot108

06 Apr 2026, 21:11

ER

let f(x) be defined as the integer k such that

805+ (Hard) | Exponents +3 tags

805+ (Hard) | Exponents, Functions and Custom Characters, Inequalities, Must or Could be True hide tags

kevincan

02 Apr 2026, 05:10

5

9

468

by: Adit_

05 Apr 2026, 09:14

ER

The equation n < 1/(-2)^(-n) < 135.43 is true for how many unique in

605-655 (Medium) | Exponents, Inequalities

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

Bunuel

01 Aug 2017, 01:18

27

9

9,254

by: bumpbot

05 Apr 2026, 05:27

ER

If (5.55)^x = (0.555)^y = 1000, then the value of 1/x - 1/y is?

805+ (Hard) | Exponents

805+ (Hard) | Exponents hide tags

Lakshyamanchester

13 Jan 2020, 10:11

47

5

11,127

by: bumpbot

04 Apr 2026, 11:58

ER

1/2^12 + 2/2^13 + 4/2^14 + 8/2^15 =

505-555 (Easy) | Arithmetic, Exponents

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

Bunuel

01 May 2019, 23:28

14

7

8,721

by: bumpbot

04 Apr 2026, 10:14

ER

If k is an integer and 33!/22! is divisible by 6^k, what is the maximu

655-705 (Hard) | Exponents +2 tags

655-705 (Hard) | Exponents, Min-Max Problems, Multiples and Factors hide tags

Bunuel

28 Oct 2021, 03:30

72

8

9,517

by: Adit_

04 Apr 2026, 04:40

ER

What is the remainder when 5^68 is divided by 7?

655-705 (Hard) | Exponents, Remainders

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

amathews

14 Apr 2017, 05:26

151

19

31,332

by: chetan2u

04 Apr 2026, 02:14

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