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

322

12

152,118

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

312,496

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

1,384,213

by: bb

16 Apr 2026, 14:28

ER

If the units digits of n^39 is 3, which of the following can be the va

505-555 (Easy) | Exponents, Number Properties

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

Bunuel

06 Jun 2023, 11:00

5

3

2,012

by: bumpbot

20 Dec 2024, 03:27

ER

On July 1, 2017, a certain tree was 128 centimeters tall.

655-705 (Hard) | Exponents, Word Problems

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

BrentGMATPrepNow

12 Jun 2018, 05:31

36

9

5,792

by: bumpbot

16 Dec 2024, 05:31

ER

If a = -1, which of the following is (are) true?

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

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

MathRevolution

24 Aug 2016, 05:45

14

11

8,528

by: Bunuel

10 Dec 2024, 01:19

ER

If x − 1/2^6 − 1/2^7 − 1/2^8 = 2/2^9, then x =

555-605 (Medium) | Algebra, Exponents

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

Bunuel

04 Dec 2014, 07:34

29

12

6,707

by: bumpbot

09 Dec 2024, 15:55

ER

If (5^(-1)*5^5)/5^4 = 5^y what is the value of y?

Sub 505 (Easy) | Exponents

Sub 505 (Easy) | Exponents hide tags

Bunuel

21 Sep 2021, 04:45

3

2,186

by: bumpbot

07 Dec 2024, 10:13

ER

If x is an integer greater than 1, what is the units digit of 6^x − 6^

Sub 505 (Easy) | Exponents

Sub 505 (Easy) | Exponents hide tags

Bunuel

22 May 2018, 04:29

3

5

3,539

by: bumpbot

07 Dec 2024, 06:28

ER

A certain investment grows at an annual interest rate of 16 percent

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

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

Bunuel

22 Mar 2022, 02:30

29

7

6,215

by: Bunuel

04 Dec 2024, 02:17

ER

For positive integers x, y, and z, the function x ? y ? z means that

705-805 (Hard) | Exponents +3 tags

705-805 (Hard) | Exponents, Functions and Custom Characters, Multiples and Factors, Number Properties hide tags

Bunuel

07 Sep 2021, 04:04

14

4

7,931

by: bumpbot

03 Dec 2024, 06:00

ER

What is the sum of all solutions of 49^x + 7^(1-2x) = 8

655-705 (Hard) | Algebra, Exponents

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

Bunuel

03 Dec 2020, 01:15

18

6

3,877

by: bumpbot

29 Nov 2024, 10:20

ER

(3^(12) - 9^4)/(27^2 + 9^4) =

505-555 (Easy) | Exponents

505-555 (Easy) | Exponents hide tags

Bunuel

05 Jan 2022, 06:45

7

2

2,876

by: bumpbot

28 Nov 2024, 09:31

ER

If the units digit of x^3 is 6, what is the units digit of integer x?

Sub 505 (Easy) | Exponents

Sub 505 (Easy) | Exponents hide tags

Bunuel

05 Jan 2017, 04:09

4

3,804

by: bumpbot

26 Nov 2024, 05:12

ER

If x is a positive integer, what is the units digit of 24^(5 + 2x)*36^

555-605 (Medium) | Exponents

555-605 (Medium) | Exponents hide tags

Bunuel

08 May 2015, 05:56

40

11

15,289

by: bumpbot

26 Nov 2024, 02:22

ER

If m and n are positive integers and (2^18)(5^m) = (20^n), what is the

Sub 505 (Easy) | Exponents

Sub 505 (Easy) | Exponents hide tags

Bunuel

07 Mar 2022, 07:15

10

3

4,318

by: bumpbot

25 Nov 2024, 21:11

ER

If (2/3)^n = (3/2)^2, what is the value of n?

Sub 505 (Easy) | Exponents

Sub 505 (Easy) | Exponents hide tags

jsphcal

16 Jun 2012, 20:47

25

6

21,767

by: bumpbot

25 Nov 2024, 11:39

8×10^40 / [(1×(10^10)]

Sub 505 (Easy) | Exponents

Sub 505 (Easy) | Exponents hide tags

Kavicogsci

24 Aug 2024, 22:47

1

1,172

by: imeanup

25 Nov 2024, 08:13

ER

What is the units digit of 18^47 ?

505-555 (Easy) | Exponents

505-555 (Easy) | Exponents hide tags

shrive555

21 Oct 2010, 17:40

37

12

33,617

by: bumpbot

24 Nov 2024, 12:43

ER

What is the remainder when Z is divided by 122?

555-605 (Medium) | Exponents, Remainders

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

Bunuel

20 Nov 2022, 08:24

10

4

3,623

by: Bunuel

24 Nov 2024, 01:37

ER

If j, k, and x are positive integers, and x × 10^j < x × 10^k ,

Sub 505 (Easy) | Exponents, Inequalities

Sub 505 (Easy) | Exponents, Inequalities hide tags

Carcass

29 Sep 2022, 02:37

5

3

3,178

by: bumpbot

21 Nov 2024, 22:56

ER

What is the greatest integer k such that 2^k <= 100 ?

Sub 505 (Easy) | Exponents, Inequalities

Sub 505 (Easy) | Exponents, Inequalities hide tags

Bunuel

02 Dec 2022, 14:33

6

3

4,331

by: bumpbot

19 Nov 2024, 08:47

ER

What is the sum of the digits in the decimal notation of the number

505-555 (Easy) | Exponents, Number Properties

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

Bunuel

07 Feb 2020, 00:49

23

6

9,825

by: bumpbot

17 Nov 2024, 12:55

ER

If x is a positive integer, what is the remainder when 3^(4x + 2) + 7

555-605 (Medium) | Exponents, Remainders

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

Bunuel

08 Feb 2021, 04:00

12

3

3,870

by: avnish8166

15 Nov 2024, 06:49

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

19

3

3,553

by: namratajoshi28

14 Nov 2024, 16:51

ER

If 5^(n - 3) + 5^n = 2*7*9*5^11, what is the value of 2n?

555-605 (Medium) | Exponents

555-605 (Medium) | Exponents hide tags

Bunuel

14 Nov 2024, 01:30

3

1

1,497

by: Matthyrou

14 Nov 2024, 03:46

ER

If x and y are integers and 12^x∗6^y=432, what is the value of xy?

555-605 (Medium) | Algebra, Exponents

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

Bunuel

07 Mar 2017, 02:04

32

10

7,853

by: violinix

12 Nov 2024, 11:41

ER

What is the units digit of (3^11)(4^13)?

555-605 (Medium) | Exponents

555-605 (Medium) | Exponents hide tags

MathRevolution

17 Jan 2016, 21:49

5

4,820

by: bumpbot

11 Nov 2024, 15:08

ER

Which of the following is the result when (6x^3y^3)^4 + (4x^4)^3y6 is

605-655 (Medium) | Exponents

605-655 (Medium) | Exponents hide tags

Bunuel

10 Sep 2017, 05:03

7

3

3,187

by: bumpbot

11 Nov 2024, 14:32

ER

10^k + 5^k =

505-555 (Easy) | Exponents

505-555 (Easy) | Exponents hide tags

Bunuel

22 Mar 2018, 23:46

3

6

2,744

by: bumpbot

11 Nov 2024, 14:08

ER

If 10^x is multiple of 40, what is the least possible value of x?

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

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

vinhthi

19 Oct 2017, 08:55

3

4

2,936

by: bumpbot

11 Nov 2024, 13:44

ER

The expression x^(-1)/5^x is greatest for which of the following value

555-605 (Medium) | Exponents

555-605 (Medium) | Exponents hide tags

Bunuel

10 Sep 2017, 05:05

3

3,114

by: bumpbot

11 Nov 2024, 13:43

ER

The number 0.01 is how many times as great as the number (0.0001)^2?

505-555 (Easy) | Exponents

505-555 (Easy) | Exponents hide tags

Bunuel

05 Jul 2018, 04:58

1

4

11,905

by: bumpbot

11 Nov 2024, 13:35

ER

Which of the following is equivalent to 2^p*4^(p + 1) ?

Sub 505 (Easy) | Exponents

Sub 505 (Easy) | Exponents hide tags

Bunuel

04 Aug 2023, 03:00

21

5

21,666

by: bumpbot

11 Nov 2024, 06:48

ER

If a^6 + b^6 = 144 then the greatest possible value for b is between

605-655 (Medium) | Exponents, Min-Max Problems

605-655 (Medium) | Exponents, Min-Max Problems hide tags

Bunuel

10 Sep 2017, 05:30

21

8

4,291

by: bumpbot

11 Nov 2024, 05:19

ER

If x = 10^1.4, y = 10^0.7, and x^z = y^3, then what is the value of z

505-555 (Easy) | Exponents

505-555 (Easy) | Exponents hide tags

Bunuel

10 Apr 2019, 01:08

4

3

3,974

by: bumpbot

10 Nov 2024, 13:53

ER

If x and y are non-zero integers then the value of 2/(1/x^(-2)+1/y^

555-605 (Medium) | Algebra, Exponents

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

Bunuel

03 Sep 2017, 05:48

3

2,916

by: bumpbot

08 Nov 2024, 19:58

ER

For which of the following values of y is 2/3^y greatest?

505-555 (Easy) | Exponents

505-555 (Easy) | Exponents hide tags

Bunuel

24 Jun 2017, 08:39

4

6

2,820

by: bumpbot

08 Nov 2024, 15:15

ER

Which of the following is 10 times the fraction 4.5*10^5/(0.09*10^3)?

555-605 (Medium) | Arithmetic, Exponents

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

Bunuel

17 Apr 2017, 00:54

4

3,076

by: bumpbot

08 Nov 2024, 15:14

ER

8×2^100 + 4×2^101 =

505-555 (Easy) | Algebra, Exponents

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

vikasp99

15 Mar 2017, 06:06

11

5

4,017

by: bumpbot

04 Nov 2024, 19:14

ER

If m is a positive integer and 75^3 is a multiple of 5^m, what is the

505-555 (Easy) | Exponents +2 tags

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

Bunuel

14 Feb 2020, 04:46

15

3

6,861

by: bumpbot

04 Nov 2024, 12:08

ER

What is the remainder when 7^44 is divided by 9?

655-705 (Hard) | Exponents, Remainders

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

TheUltimateWinner

22 Oct 2020, 08:39

63

16

17,380

by: Rohan271

30 Oct 2024, 00:53

ER

Among 200 integers 2^3, 2^6, 2^9, 2^12, ..., 2^600, how many numbers

655-705 (Hard) | Exponents, Number Properties

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

Bunuel

12 Apr 2023, 10:45

13

5

2,756

by: bumpbot

30 Oct 2024, 00:38

ER

What is the sum of digits of number 10^28 – 28?

555-605 (Medium) | Exponents, Number Properties

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

arjtryarjtry

22 Jul 2008, 19:09

49

6

16,032

by: bumpbot

26 Oct 2024, 03:56

ER

If n is a positive integer, what is the maximum possible value of n

805+ (Hard) | Exponents, Number Properties

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

Bunuel

26 Dec 2022, 11:30

16

6

3,338

by: bumpbot

22 Oct 2024, 06:17

ER

(x^4y^3)^(-2)/(x^3y^2)^(-4) =

Sub 505 (Easy) | Algebra, Exponents

Sub 505 (Easy) | Algebra, Exponents hide tags

Bunuel

04 Apr 2018, 23:40

5

3,479

by: bumpbot

21 Oct 2024, 07:45

ER

Given 800 * 10^8 + 0.08 * 10^n = 8.8 * 10^10, where n is an integer, w

555-605 (Medium) | Exponents

555-605 (Medium) | Exponents hide tags

Russ19

22 Nov 2020, 01:44

12

2

2,375

by: SergejK

20 Oct 2024, 04:42

ER

If (ax)16(by)12(cxy)17(dxy)11>0, and all the variables are non-zero,

605-655 (Medium) | Exponents +2 tags

605-655 (Medium) | Exponents, Must or Could be True, Number Properties hide tags

Jamil1992Mehedi

18 Mar 2018, 01:57

14

6

5,529

by: bumpbot

19 Oct 2024, 14:41

ER

The function f(x) is defined by f(x)=100−2^x. If f(x)=6, then which of

505-555 (Easy) | Algebra +3 tags

505-555 (Easy) | Algebra, Exponents, Functions and Custom Characters, Inequalities hide tags

Bunuel

08 Feb 2017, 02:05

48

7

16,020

by: bumpbot

19 Oct 2024, 09:56

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

43

5

9,284

by: Akshaynandurkar

17 Oct 2024, 11:19

ER

Which of the following is equal to 3^m * 7^(m-1)?

555-605 (Medium) | Exponents

555-605 (Medium) | Exponents hide tags

MathRevolution

17 Oct 2024, 08:45

15

7

3,601

by: Bunuel

17 Oct 2024, 08:49

ER

X and Y are the digits at the unit's place of the numbers (408X) and

705-805 (Hard) | Exponents

705-805 (Hard) | Exponents hide tags

Manas1212

05 May 2019, 01:25

37

6

7,985

by: Bunuel

16 Oct 2024, 09:47

ER

Which of the following is true about p, q, r and t?

655-705 (Hard) | Exponents +2 tags

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

GMATWhizTeam

20 Oct 2021, 11:54

14

3

3,642

by: bumpbot

16 Oct 2024, 08:08