GMAT Problem Solving (PS) Forum - Free Practice Questions

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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

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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

7^3 + 21^3 =

555-605 (Medium) | Algebra, Exponents

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

Bunuel

13 Feb 2017, 03:16

74

13

11,019

by: bumpbot

21 May 2026, 14:25

ER

Which of the following is a value of x for which

655-705 (Hard) | Exponents, Inequalities

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

MasteringGMAT

02 Jul 2023, 00:15

401

16

41,857

by: Usernamevisible

21 May 2026, 11:02

ER

For all positive integers n and m, the function A(n) equals the follow

805+ (Hard) | Exponents +3 tags

805+ (Hard) | Exponents, Fractions and Ratios, Functions and Custom Characters, Number Properties hide tags

Bunuel

24 Apr 2015, 02:58

78

8

10,127

by: Usernamevisible

21 May 2026, 10:47

ER

If x is a positive integer and 10^x – 74 in decimal notation

605-655 (Medium) | Exponents +2 tags

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1, 2

marcodonzelli

09 Mar 2008, 02:09

141

20

15,843

by: bumpbot

21 May 2026, 08:08

ER

If k=3^81 and k^k=3^m, what is the value of m?

605-655 (Medium) | Algebra, Exponents

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

KarthikMBA2019

11 Jul 2018, 05:36

44

5

7,048

by: bumpbot

21 May 2026, 04:46

ER

X is the product of integers from 1 to 50, inclusive. If 12^N is a fac

605-655 (Medium) | Exponents, Multiples and Factors

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

Bunuel

09 Dec 2019, 02:13

40

3

9,819

by: bumpbot

20 May 2026, 23:47

ER

Find the value of the expression 9^1/3

655-705 (Hard) | Exponents, Sequences

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

ProfChaos

26 Nov 2020, 11:52

26

3

3,235

by: bumpbot

19 May 2026, 07:23

ER

If the greatest common factor of positive integers n and m is 15, and

705-805 (Hard) | Exponents +2 tags

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Bunuel

02 Dec 2019, 00:35

78

10

7,769

by: bumpbot

18 May 2026, 04:45

ER

What is the remainder when 3^32 is divided by 82?

605-655 (Medium) | Exponents, Remainders

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

BrentGMATPrepNow

23 Feb 2020, 09:20

46

6

11,546

by: kevincan

17 May 2026, 22:30

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

608

16

51,311

by: Usernamevisible

17 May 2026, 21:05

ER

Which of the following best approximates the value of q if 5^28+3^11=5

705-805 (Hard) | Exponents

705-805 (Hard) | Exponents hide tags

vwjetty

13 Dec 2017, 01:02

189

9

24,978

by: bumpbot

17 May 2026, 11:39

ER

If x and y are positive integers and 5^x

705-805 (Hard) | Exponents

705-805 (Hard) | Exponents hide tags

1, 2

BN1989

06 Apr 2012, 09:42

356

21

42,741

by: Usernamevisible

17 May 2026, 11:17

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

If 16^x = 64 and 27^y = 81, what is 5^(xy)?

555-605 (Medium) | Exponents

555-605 (Medium) | Exponents hide tags

kevincan

15 May 2026, 22:06

1

154

by: ankushsambare

16 May 2026, 01:24

ER

If 16^x * 9^y, what is the value of (4^(2x1))(3^(2y))(5)?

555-605 (Medium) | Exponents

555-605 (Medium) | Exponents hide tags

kevincan

14 May 2026, 13:12

1

178

by: ankushsambare

14 May 2026, 22:45

ER

If 10! - 2*(5!)^2 is divisible by 10^n, what is the greatest value of

805+ (Hard) | Exponents +2 tags

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

1, 2

aalriy

10 Dec 2010, 07:20

957

21

84,601

by: bumpbot

14 May 2026, 11:20

ER

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

655-705 (Hard) | Algebra +3 tags

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rishabhmishra

19 Mar 2018, 22:28

47

3

7,461

by: bumpbot

14 May 2026, 10:41

ER

A computer can perform 1,000,000 calculations per second. At this rate

555-605 (Medium) | Exponents, Word Problems

555-605 (Medium) | Exponents, Word Problems hide tags

Yurik79

21 Sep 2019, 14:47

97

17

28,925

by: bumpbot

14 May 2026, 08:58

ER

Find the unit place of 2^1!+2!+3!+ .....+10! !

805+ (Hard) | Exponents, Multiples and Factors

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Raksat

16 Mar 2020, 12:05

14

5

2,165

by: KarishmaB

12 May 2026, 22:48

ER

For a positive integer n, what is the remainder when (13^4n+3)(9^2n)

605-655 (Medium) | Exponents, Remainders

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

sahilsahh

30 Jun 2024, 23:57

21

3

3,448

by: RohanNewDelhi

12 May 2026, 08:55

ER

If 5^a is a factor of n!, and the greatest integer value of a is 6, wh

655-705 (Hard) | Exponents +2 tags

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patnaiksonal

14 Sep 2018, 09:50

58

10

10,454

by: bumpbot

12 May 2026, 06:16

ER

If x = 104^24/100^25, what is the approximate value of x ?

655-705 (Hard) | Arithmetic, Exponents

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

Bunuel

08 Feb 2021, 04:15

35

4

5,285

by: Ikemen

11 May 2026, 21:47

ER

How many integers N in the set of integers (1, 2, 3 ... 100) are there

705-805 (Hard) | Exponents +2 tags

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Kushchokhani

29 May 2022, 07:18

25

2

5,779

by: bumpbot

11 May 2026, 11:47

ER

Given that n = 10^a + 10^b + 10^c, where a, b, and c are distinct

705-805 (Hard) | Combinations, Exponents

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

Bunuel

22 Feb 2022, 04:00

48

6

9,471

by: bumpbot

11 May 2026, 11:40

ER

What is the greatest value of x such that 8^x is a factor of 16! ?

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

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

Bunuel

14 Dec 2016, 05:57

61

8

6,804

by: bumpbot

11 May 2026, 10:32

ER

If 25^x = 10, 10^y = 20, and 20^z = 125, what is xyz?

655-705 (Hard) | Exponents

655-705 (Hard) | Exponents hide tags

kevincan

09 May 2026, 22:59

2

1

187

by: AdarshSambare

10 May 2026, 05:55

ER

If two positive integers a and b are chosen at random between 1 and 50

805+ (Hard) | Exponents +2 tags

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Bunuel

18 Jan 2022, 06:15

26

4

3,662

by: bumpbot

10 May 2026, 04:32

ER

'x' is a positive integer and x^3 is divisible by 27. Which of the

655-705 (Hard) | Exponents +2 tags

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ann1111

16 Jan 2020, 08:49

64

8

7,671

by: Stella5200

10 May 2026, 02:53

ER

If (21x)^6 = (7x)^18, then x^2 could equal which of the following?

505-555 (Easy) | Exponents

505-555 (Easy) | Exponents hide tags

kevincan

09 May 2026, 16:00

1

160

by: rajdeep212003

09 May 2026, 21:52

ER

Which of the following is equivalent to (x^3)^3y + 3?

605-655 (Medium) | Exponents

605-655 (Medium) | Exponents hide tags

MartyMurray

08 May 2026, 08:04

3

2

230

by: MartyMurray

09 May 2026, 14:51

ER

What is the greatest value of x such that 8^x is a factor of 18! ?

605-655 (Medium) | Exponents, Multiples and Factors

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

Bunuel

14 Dec 2016, 05:58

31

6

5,819

by: bumpbot

09 May 2026, 14:46

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

If J equals the number of positive even integers less than or equal to

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

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

BrentGMATPrepNow

26 Aug 2022, 08:24

31

7

4,577

by: bumpbot

09 May 2026, 05:07

ER

Which of the following is equal to (2^k)(5^k − 1)?

505-555 (Easy) | Exponents

505-555 (Easy) | Exponents hide tags

1, 2

4112019

11 Feb 2013, 08:50

117

21

28,931

by: bumpbot

09 May 2026, 05:05

ER

What is the units digit of the solution to 177^28 - 133^23?

555-605 (Medium) | Exponents, Number Properties

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

Bunuel

02 May 2016, 07:42

74

9

22,099

by: bumpbot

09 May 2026, 04:49

ER

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

655-705 (Hard) | Exponents

655-705 (Hard) | Exponents hide tags

kevincan

22 Apr 2026, 13:43

1

3

261

by: vasu1104

09 May 2026, 03:24

ER

What are the last two digits of the number 7^45 ?

605-655 (Medium) | Exponents, Number Properties

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

Bunuel

03 Jan 2022, 03:15

25

3

3,760

by: VibhuAnurag

09 May 2026, 02:46

ER

For integers x and y, 2^x + 2^y =2^30. What is the value of x + y?

655-705 (Hard) | Algebra, Exponents

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

Bunuel

23 Aug 2015, 22:49

372

13

35,933

by: bumpbot

09 May 2026, 02:06

ER

Let k = 2008^2 + 2^2008 . What is the units digit of k^2 + 2^k ?

805+ (Hard) | Exponents, Number Properties

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Noshad

18 Mar 2019, 03:47

25

10

15,103

by: bumpbot

09 May 2026, 00:17

ER

What is the least possible number of 0s(zeroes) at the end of integer

805+ (Hard) | Exponents, Number Properties

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

chetan2u

31 Oct 2019, 06:42

18

3

4,912

by: bumpbot

08 May 2026, 23:59

ER

If N = 16 × 10^(-p) and −4 < p < 4, how many different integer values

705-805 (Hard) | Exponents, Number Properties

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

1, 2

Bunuel

11 Jul 2017, 08:50

15

20

5,122

by: bumpbot

08 May 2026, 23:56

ER

If x and y are positive integers such that 2x2

805+ (Hard) | Algebra, Exponents

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kevincan

30 Apr 2026, 01:24

11

4

401

by: adewale223

08 May 2026, 08:11

ER

If n is a non-negative integer such that 6^n is a divisor of

555-605 (Medium) | Exponents, Number Properties

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

yangsta8

06 Oct 2009, 15:24

84

7

10,957

by: bumpbot

08 May 2026, 06:24

ER

If a = 3^3*2^9, b = 3^6 *7^3, c = 2^6*5^3, which of the following is

605-655 (Medium) | Exponents, Inequalities

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

Bunuel

27 Jun 2022, 19:15

22

7

7,204

by: bumpbot

07 May 2026, 08:43

ER

What are the last two digits (at ten's place and unit's place) in the

505-555 (Easy) | Exponents, Number Properties

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

Bunuel

29 Jan 2025, 01:30

9

5

1,805

by: bumpbot

07 May 2026, 07:38

ER

If M is the product of all positive integers greater than 59 and less

605-655 (Medium) | Exponents, Number Properties

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

Bunuel

01 May 2021, 06:15

57

6

7,901

by: Bunuel

07 May 2026, 03:41

ER

If a and b are positive integers and (2^a)^b = 2^3, what is the value

505-555 (Easy) | Exponents

505-555 (Easy) | Exponents hide tags

Bunuel

03 Jul 2016, 11:39

98

11

47,756

by: bumpbot

06 May 2026, 14:23

The intensity of light, I, at a distance, d, from a certain light sour

Sub 505 (Easy) | Exponents

Sub 505 (Easy) | Exponents hide tags

shivae

23 Sep 2024, 14:40

7

4

4,016

by: bumpbot

05 May 2026, 10:51

ER

If 2^(2x+5) - 65.2^(x+1) = - 8, then which of the following statement

805+ (Hard) | Exponents

805+ (Hard) | Exponents hide tags

EgmatQuantExpert

18 Apr 2025, 15:24

32

2

4,721

by: bumpbot

05 May 2026, 10:30