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

151,994

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

312,421

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

1,383,929

by: bb

16 Apr 2026, 14:28

ER

(6^14*5^13) - (6^13*5^14) =

505-555 (Easy) | Exponents

505-555 (Easy) | Exponents hide tags

nick13

26 Jan 2024, 02:58

32

8

9,806

by: ablatt4

28 Aug 2025, 11:35

ER

The sum and product of k positive integers are 12 and 81, respectively

655-705 (Hard) | Algebra, Exponents

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

guddo

28 Jan 2024, 08:38

70

8

15,869

by: ablatt4

28 Aug 2025, 11:13

ER

If a and b are integers, and ab ≠ 0, and a^b < 0, then which of the

555-605 (Medium) | Exponents, Inequalities

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

Bunuel

03 May 2021, 08:45

3

2,618

by: bumpbot

27 Aug 2025, 11:09

ER

Given that 0.0001402 x 10^q < 5^(-2), and q is an integer, which of th

555-605 (Medium) | Exponents, Inequalities

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

Bunuel

24 May 2021, 06:15

6

3,250

by: bumpbot

27 Aug 2025, 02:32

ER

If r is an integer and 9q = 243^r, which of the following expresses q

555-605 (Medium) | Algebra, Exponents

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

Bunuel

23 Nov 2016, 06:53

12

8

4,937

by: PriyanshuR

27 Aug 2025, 02:03

ER

If xy = 1, what is the value of 2^(x + y)^2/2^(x-y)^2?

555-605 (Medium) | Algebra, Exponents

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

1, 2

tonebeeze

02 Jan 2011, 16:33

531

21

131,125

by: ablatt4

26 Aug 2025, 13:05

ER

Which of the following options should be the least value of n that sat

655-705 (Hard) | Exponents, Inequalities

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

gmat1123

08 May 2018, 00:54

42

8

10,633

by: DylanD

26 Aug 2025, 12:36

ER

What is the units digit of (23^6)(17^3)(61^9)?

505-555 (Easy) | Exponents

505-555 (Easy) | Exponents hide tags

Bunuel

12 Jun 2024, 01:31

5

4

2,917

by: ablatt4

26 Aug 2025, 11:39

ER

The number 152 is equal to the sum of the cubes of two integ

555-605 (Medium) | Exponents, Multiples and Factors

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

johnwesley

26 Feb 2013, 17:33

27

6

13,991

by: ablatt4

26 Aug 2025, 11:32

ER

If 4^{2x} + 2^{4x} + 4^{2x} + 2^{4x} = 4^24, what is the value of x?

555-605 (Medium) | Exponents

555-605 (Medium) | Exponents hide tags

Bunuel

01 Sep 2015, 22:24

25

11

6,703

by: bumpbot

25 Aug 2025, 22:13

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

10,798

by: bumpbot

25 Aug 2025, 14:54

ER

What is the greatest positive integer n such that 5^n divides 10! – (2

805+ (Hard) | Exponents, Multiples and Factors

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

parkhydel

27 Apr 2020, 15:46

598

15

50,958

by: ablatt4

25 Aug 2025, 14:18

ER

What is the largest positive integer n for which 20! is a multiple of

555-605 (Medium) | Exponents +2 tags

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

Bunuel

05 Apr 2022, 07:00

14

4

3,221

by: bumpbot

25 Aug 2025, 08:00

ER

Simplify (16^3-15^3)(16^2-15^2)

505-555 (Easy) | Algebra, Exponents

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

ankitaprsd

05 Sep 2014, 21:50

54

7

14,250

by: bumpbot

25 Aug 2025, 06:58

ER

Jack has a few sixfaced dice. Each die has numbers 3, 5, and 6 each

655-705 (Hard) | Exponents, Number Properties

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

nkmungila

11 Oct 2017, 00:09

58

6

12,566

by: bumpbot

24 Aug 2025, 18:32

ER

What is the greatest positive integer x such that 9^(6x) is a factor

555-605 (Medium) | Exponents, Multiples and Factors

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

Bunuel

20 Mar 2020, 05:43

18

4

5,454

by: bumpbot

24 Aug 2025, 11:20

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

3,700

by: ablatt4

22 Aug 2025, 12:26

ER

What is the greatest prime factor of 2^10*5^4 – 2^13*5^2 + 2^14?

655-705 (Hard) | Exponents, Multiples and Factors

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

JusTLucK04

20 Dec 2014, 06:36

59

12

14,463

by: ablatt4

22 Aug 2025, 10:27

ER

The sum of all the digits of the positive integer q is equal

705-805 (Hard) | Arithmetic, Exponents

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

enigma123

21 Jan 2012, 16:02

436

16

49,704

by: ablatt4

22 Aug 2025, 09:28

ER

9^5 - 9^4/8 =

Sub 505 (Easy) | Exponents

Sub 505 (Easy) | Exponents hide tags

guddo

27 Jan 2024, 10:54

11

2

5,430

by: ablatt4

21 Aug 2025, 10:25

ER

What is the remainder when 13^17 + 17^13 is divided by 10?

505-555 (Easy) | Exponents, Remainders

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

Bunuel

05 Dec 2018, 05:59

35

10

21,869

by: bumpbot

21 Aug 2025, 08:29

ER

What is the remainder when 11^704 is divided by 17 ?

705-805 (Hard) | Exponents, Remainders

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

Bunuel

10 May 2023, 01:30

30

6

5,815

by: bumpbot

21 Aug 2025, 06:42

ER

What is the remainder when 2^99 is divided by 99?

805+ (Hard) | Exponents, Remainders

805+ (Hard) | Exponents, Remainders hide tags

1, 2

Bunuel

01 Nov 2019, 04:37

582

23

59,013

by: Kinshook

21 Aug 2025, 01:49

ER

On the number line shown, the tick marks are equally spaced and the

605-655 (Medium) | Exponents

605-655 (Medium) | Exponents hide tags

1, 2

Bunuel

05 Aug 2023, 03:00

531

22

61,285

by: ablatt4

20 Aug 2025, 12:03

ER

If (x-p)^2 - (x-t)^2 / t-p = x-t and

605-655 (Medium) | Algebra, Exponents

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

xhimi

05 Dec 2013, 20:41

37

7

6,116

by: bumpbot

20 Aug 2025, 07:35

ER

The age of the Earth is approximately 1.3*10^17 seconds, and one year

555-605 (Medium) | Exponents

555-605 (Medium) | Exponents hide tags

angelfire213

30 Oct 2017, 04:43

99

7

40,692

by: bumpbot

19 Aug 2025, 12:16

ER

If x = 2^b – (2^20+ 2^29), for which of the following b values is x

555-605 (Medium) | Algebra, Exponents

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

dracarys007

16 Jun 2020, 10:42

45

7

7,166

by: bumpbot

19 Aug 2025, 10:04

ER

(x^25)(y^25) is equivalent to which of the following

555-605 (Medium) | Exponents

555-605 (Medium) | Exponents hide tags

Bunuel

17 Aug 2025, 22:00

5

3

772

by: propinopia

18 Aug 2025, 19:58

ER

If (3 + 2√2)^(x^2 - 3)} + (3 - 2√2)^(x^2 - 3) = 1 which of the followi

705-805 (Hard) | Algebra, Exponents

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

Bunuel

01 Jun 2020, 01:53

41

11

5,606

by: bumpbot

18 Aug 2025, 08:02

ER

If x^2 = 3, what is the value of 2^(y^2)/(2^(x+y)^2*4^(xy)

555-605 (Medium) | Algebra, Exponents

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

Bunuel

14 Sep 2021, 01:00

12

4

3,649

by: bumpbot

18 Aug 2025, 04:49

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

6,341

by: bumpbot

17 Aug 2025, 12:15

ER

(.08)^(-4)/(.04)^(-3) =

555-605 (Medium) | Algebra, Exponents

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

pmklings

09 Aug 2016, 01:59

33

6

9,805

by: bumpbot

17 Aug 2025, 10:04

ER

HOT Competition 31 Aug/8AM: What is the sum of all possible values of

705-805 (Hard) | Exponents

705-805 (Hard) | Exponents hide tags

Bunuel

31 Aug 2020, 08:00

38

8

8,112

by: bumpbot

17 Aug 2025, 10:04

ER

If x and y are integers and 7^x−7^(x−2)=3∗14^y what is the value of x?

605-655 (Medium) | Exponents

605-655 (Medium) | Exponents hide tags

Bunuel

11 Nov 2021, 03:00

19

3

4,416

by: bumpbot

17 Aug 2025, 10:03

ER

If (2^x + 8)^2 - (2^x - 8)^2 = 2^12, what is the value of x?

555-605 (Medium) | Algebra, Exponents

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

Russ19

12 Feb 2020, 00:15

19

6

3,805

by: bumpbot

16 Aug 2025, 11:09

ER

If (|p|!)^p = |p|!, which of the following could be true?

555-605 (Medium) | Absolute Values +2 tags

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

Bunuel

21 Feb 2012, 22:40

116

5

21,990

by: ablatt4

16 Aug 2025, 10:46

If y is an integer, how many distinct integer values are possible for

805+ (Hard) | Exponents, Number Properties

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

EthanTheTutor

21 Jun 2022, 02:33

11

2

1,579

by: bumpbot

16 Aug 2025, 08:15

ER

Which of the following is the closest to 11^59^5 – 2(10^5)?

655-705 (Hard) | Arithmetic, Exponents

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

MathRevolution

05 Dec 2017, 02:02

34

5

4,997

by: bumpbot

16 Aug 2025, 06:35

ER

What values of x satisfy the equation x^(2/3) + x^(1/3) - 2 0 ?

655-705 (Hard) | Exponents, Inequalities

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

Bunuel

26 Feb 2024, 02:30

24

4

3,437

by: bumpbot

16 Aug 2025, 05:47

ER

Two integers A and B are such that A = 2^65 and B = (2^64+2^

705-805 (Hard) | Exponents +2 tags

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

DisciplinedPrep

20 Jan 2021, 10:49

32

6

4,994

by: bumpbot

16 Aug 2025, 04:16

ER

If x and y are positive numbers such that x^y = y^x and y = 9x, then

705-805 (Hard) | Algebra, Exponents

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

Bunuel

15 Nov 2019, 01:44

43

5

8,636

by: bumpbot

14 Aug 2025, 11:01

ER

If x^a*y^b*z^c equals the product of 154 and 56, z > y > x, and a > b

605-655 (Medium) | Algebra, Exponents

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

Bunuel

29 Jun 2018, 02:09

11

4

6,981

by: bumpbot

14 Aug 2025, 07:17

ER

If (x × 10^q) – (y × 10^r) = 10^r, where q, r, x, and y are positive

655-705 (Hard) | Algebra +2 tags

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

Bunuel

09 Jun 2015, 02:50

149

14

14,171

by: pearlmotwani

14 Aug 2025, 05:07

ER

Which is the first non-zero digit from the right in the product of

655-705 (Hard) | Exponents, Number Properties

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

Bunuel

18 Jun 2019, 00:11

43

10

9,737

by: bumpbot

14 Aug 2025, 03:23

ER

Given that x = 2^b – (8^30 + 16^5), which of the following values for

655-705 (Hard) | Absolute Values +2 tags

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

Bunuel

29 Feb 2016, 12:55

101

12

12,406

by: Bunuel

14 Aug 2025, 02:56

ER

1^1 + 2^2 + 3^3 + ... + 10^10 is divided by 5. What is the remainder?

805+ (Hard) | Exponents, Remainders

805+ (Hard) | Exponents, Remainders hide tags

Bunuel

23 Oct 2014, 00:43

69

11

25,459

by: BinodBhai

14 Aug 2025, 02:15

ER

If (3 + 2√2)^(x^2 - 3) + (3 - 2√2)^(x^2 - 3) = b, then which of the fo

655-705 (Hard) | Algebra, Exponents

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

DisciplinedPrep

02 Dec 2019, 04:49

44

9

4,251

by: bumpbot

13 Aug 2025, 11:08

ER

If x = 5^25 and x^x = 5^k, what is k

605-655 (Medium) | Exponents

605-655 (Medium) | Exponents hide tags

qw1981

26 Dec 2014, 04:11

80

10

12,059

by: bumpbot

13 Aug 2025, 00:55

ER

If j, k, x and y are each greater than 1, and [m]j^{2x} = k^{3y} = j^4

655-705 (Hard) | Algebra, Exponents

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

BrentGMATPrepNow

22 Aug 2022, 08:20

51

3

4,521

by: Harshk2903

12 Aug 2025, 21:48

ER

N = 10^40 + 2^40. 2^k is a divisor of N, but 2^(k + 1) is not a

805+ (Hard) | Exponents

805+ (Hard) | Exponents hide tags

BrentGMATPrepNow

01 Apr 2017, 08:07

88

12

8,123

by: bumpbot

12 Aug 2025, 20:21