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

152,137

by: ekfdskfe

13 Jul 2025, 19:03

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100 Hardest and easiest questions for PS as of March 2026

Bunuel

01 Jan 2026, 05:45

1.1k

8

312,512

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

1,384,253

by: bb

16 Apr 2026, 14:28

ER

If Z = 10^x + 10^y + 10^z, where x, y, z are distinct positive integer

655-705 (Hard) | Exponents

655-705 (Hard) | Exponents hide tags

GMATBusters

11 Oct 2024, 10:14

75

13

8,090

by: Bunuel

16 Oct 2024, 06:21

ER

If x and y are positive integers such that 5*x^3 = 6*y^4, what is the

805+ (Hard) | Algebra +2 tags

805+ (Hard) | Algebra, Exponents, Min-Max Problems hide tags

Bunuel

08 Jan 2021, 06:22

46

4

4,428

by: bumpbot

14 Oct 2024, 16:15

ER

0.1 is how many times greater than (0.01)^3?

555-605 (Medium) | Exponents

555-605 (Medium) | Exponents hide tags

Bunuel

30 Oct 2018, 02:58

9

3

7,981

by: bumpbot

14 Oct 2024, 07:05

ER

If xy>0, which of the following must be positive?

555-605 (Medium) | Exponents, Roots

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

Bunuel

11 May 2017, 03:03

16

11

7,552

by: bumpbot

14 Oct 2024, 05:49

ER

If 10^n< 0.003456 <10^n+1, what is the value of the integer n?

555-605 (Medium) | Exponents, Inequalities

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

Bunuel

27 Mar 2023, 07:45

5

3

2,719

by: bumpbot

14 Oct 2024, 03:44

ER

If m and n are positive numbers. (2^m)^n = 512. What is the minimum

Sub 505 (Easy) | Exponents, Min-Max Problems

Sub 505 (Easy) | Exponents, Min-Max Problems hide tags

Bunuel

19 Mar 2023, 06:45

2

2,310

by: bumpbot

14 Oct 2024, 03:34

ER

If 2^x = 5 and 4^y = 20, what is the

505-555 (Easy) | Exponents

505-555 (Easy) | Exponents hide tags

BrentGMATPrepNow

01 Jun 2018, 08:06

22

10

5,068

by: bumpbot

13 Oct 2024, 22:28

ER

(3^5x + 3^5x + 3^5x)(4^5x + 4^5x + 4^5x + 4^5x) =

Sub 505 (Easy) | Exponents

Sub 505 (Easy) | Exponents hide tags

Bunuel

04 Nov 2014, 09:43

24

7

13,377

by: bumpbot

11 Oct 2024, 16:49

ER

If 1/2^m + 1/2^m = 1/2^x, then x expressed in terms of m is

505-555 (Easy) | Exponents

505-555 (Easy) | Exponents hide tags

Bunuel

31 May 2018, 06:07

8

13

20,615

by: bumpbot

11 Oct 2024, 16:04

ER

Which of the following numbers is the largest?

Sub 505 (Easy) | Arithmetic, Exponents

Sub 505 (Easy) | Arithmetic, Exponents hide tags

Bunuel

29 Oct 2017, 01:14

8

5

4,872

by: bumpbot

08 Oct 2024, 13:22

ER

What is the value of 2 - (-2)^(-2) ?

Sub 505 (Easy) | Arithmetic, Exponents

Sub 505 (Easy) | Arithmetic, Exponents hide tags

Bunuel

25 Apr 2019, 02:34

4

3,122

by: bumpbot

08 Oct 2024, 12:22

ER

What is the value of 4^5+4^7?

Sub 505 (Easy) | Algebra +2 tags

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

Bunuel

25 Oct 2019, 03:14

13

8

5,577

by: bumpbot

08 Oct 2024, 12:21

ER

What is the value of m in the equation below?

505-555 (Easy) | Algebra +2 tags

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

zxcvbnmas

12 Feb 2016, 18:57

65

8

21,724

by: Nipunh

07 Oct 2024, 01:55

ER

The function f is defined as follows: for any 3-digit integer (written

655-705 (Hard) | Exponents, Functions and Custom Characters

655-705 (Hard) | Exponents, Functions and Custom Characters hide tags

fluke

16 May 2011, 19:14

32

10

7,960

by: bumpbot

06 Oct 2024, 12:45

ER

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

705-805 (Hard) | Exponents +2 tags

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

Kushchokhani

29 May 2022, 07:18

22

2

5,616

by: bumpbot

06 Oct 2024, 11:43

ER

If x is a positive integer, and m = 1^(x+1), then what is the value of

555-605 (Medium) | Exponents

555-605 (Medium) | Exponents hide tags

Bunuel

27 Jun 2022, 20:15

5

3

1,486

by: bumpbot

05 Oct 2024, 10:24

ER

The ratio 2^2001*3^2003/6^2002 is:

Sub 505 (Easy) | Exponents

Sub 505 (Easy) | Exponents hide tags

Bunuel

18 Mar 2019, 23:54

1

3

5,167

by: bumpbot

04 Oct 2024, 02:37

ER

What is the remainder when 10^8 is divided by 11?

Sub 505 (Easy) | Exponents, Remainders

Sub 505 (Easy) | Exponents, Remainders hide tags

Bunuel

24 Nov 2023, 00:45

8

4

2,855

by: StenAnsiktet

04 Oct 2024, 02:17

ER

(x^(-1) - y^(-1))/((xy)^(-1)(x - y)) =

555-605 (Medium) | Algebra, Exponents

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

Russ19

11 Feb 2020, 02:34

27

8

9,778

by: bumpbot

04 Oct 2024, 00:22

ER

What is the unit digit of 7^86?

Sub 505 (Easy) | Exponents, Number Properties

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

Bunuel

14 Jun 2021, 02:45

11

8

6,914

by: BrushMyQuant

03 Oct 2024, 07:54

ER

What is the units digit of 3^987?

505-555 (Easy) | Exponents, Number Properties

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

Bunuel

01 Aug 2022, 13:15

5

3

4,200

by: BrushMyQuant

03 Oct 2024, 07:47

ER

What is the units digit of 17^7?

Sub 505 (Easy) | Exponents, Number Properties

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

Bunuel

11 Jul 2023, 01:30

3

3,949

by: BrushMyQuant

03 Oct 2024, 07:41

ER

What is the units digit of 7^94?

Sub 505 (Easy) | Exponents, Number Properties

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

Bunuel

13 Jul 2021, 03:00

7

3

9,023

by: BrushMyQuant

03 Oct 2024, 07:33

ER

If m=9^(x−1), then in terms of m, 3^(4x−2) must be which of the follow

655-705 (Hard) | Exponents

655-705 (Hard) | Exponents hide tags

Bunuel

13 May 2021, 02:45

8

7

2,799

by: Bunuel

02 Oct 2024, 23:56

ER

(0.6)^(-8)(0.5)^(-4)/((0.3)^(-6)(0.12)^(-2)) =

655-705 (Hard) | Exponents

655-705 (Hard) | Exponents hide tags

Russ19

26 Feb 2020, 00:33

7

4

2,391

by: bumpbot

01 Oct 2024, 12:10

ER

79 laboratories raise the bacterium, the laboratory have 48 culture di

605-655 (Medium) | Exponents

605-655 (Medium) | Exponents hide tags

MathRevolution

08 Mar 2016, 17:09

8

5

5,975

by: bumpbot

01 Oct 2024, 11:30

ER

a and c are distinct prime numbers and a^(b+5)=c^(d+7). What is the va

555-605 (Medium) | Exponents

555-605 (Medium) | Exponents hide tags

raghavbazaari

20 Dec 2020, 23:51

4

3

5,556

by: bumpbot

01 Oct 2024, 10:58

ER

99,998^2 − 2^2 =

555-605 (Medium) | Algebra, Exponents

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

Bunuel

19 Sep 2018, 23:36

17

6

6,863

by: bumpbot

01 Oct 2024, 10:21

ER

How many integers x satisfy (x^2 - 5x + 7)^(x + 1) = 1 ?

655-705 (Hard) | Algebra, Exponents

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

Bunuel

26 Jan 2022, 03:15

21

2

4,590

by: sarthak1701

01 Oct 2024, 03:51

ER

Which of the followings is closest to (9^102/3^4) - 3^4?

655-705 (Hard) | Exponents

655-705 (Hard) | Exponents hide tags

thanhnguyen

01 Oct 2024, 00:47

12

5

4,372

by: bumpbot

01 Oct 2024, 00:39

ER

What is the remainder when 11^12 is divided by 12 ?

Sub 505 (Easy) | Exponents, Remainders

Sub 505 (Easy) | Exponents, Remainders hide tags

Bunuel

11 Nov 2021, 06:30

16

3

4,038

by: bumpbot

30 Sep 2024, 08:00

ER

2^3^2*3^2*12^(-2) =

555-605 (Medium) | Exponents

555-605 (Medium) | Exponents hide tags

Bunuel

22 Apr 2018, 21:58

8

9

3,732

by: bumpbot

30 Sep 2024, 07:34

ER

If x^4 + x^(-4) = 7, what is the value of x^8 + x^(-8) =?

555-605 (Medium) | Exponents

555-605 (Medium) | Exponents hide tags

350350

04 Jun 2021, 12:08

13

8

3,637

by: bumpbot

30 Sep 2024, 07:28

How many values can X possibly take to satisfy below equation?

555-605 (Medium) | Algebra, Exponents

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

figjam786

19 Jul 2022, 10:05

5

2

1,764

by: bumpbot

28 Sep 2024, 18:42

ER

If a^2=5, the expression (3^(a+b)^2)/(3^b^2)*9^(-ab) is equal to which

505-555 (Easy) | Algebra, Exponents

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

Bunuel

24 Sep 2015, 22:36

22

6

4,524

by: bumpbot

28 Sep 2024, 18:40

ER

The above equation may be rewritten as which of the following?

505-555 (Easy) | Exponents

505-555 (Easy) | Exponents hide tags

Bunuel

10 May 2017, 12:09

2

6

3,678

by: bumpbot

27 Sep 2024, 20:48

ER

If 2^(2x+1)*3^(2y-1) = 8^x*27^y, then x + y =

Sub 505 (Easy) | Algebra, Exponents

Sub 505 (Easy) | Algebra, Exponents hide tags

Bunuel

04 Nov 2014, 09:56

16

3

11,934

by: bumpbot

27 Sep 2024, 12:03

ER

If a, b, c and d are positive integers less than 4, and 4^a+3^b+2

555-605 (Medium) | Exponents

555-605 (Medium) | Exponents hide tags

gabriel87

16 Sep 2014, 04:40

11

4

4,764

by: bumpbot

27 Sep 2024, 02:45

ER

(45^(-1) + 5^(-1)/10)^(-1) =

505-555 (Easy) | Exponents

505-555 (Easy) | Exponents hide tags

Bunuel

29 Apr 2019, 05:58

8

5

2,307

by: bumpbot

27 Sep 2024, 02:40

ER

Which of the following represents the average of 11^61 and 11^63?

505-555 (Easy) | Algebra, Exponents

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

Bunuel

23 Feb 2017, 06:21

9

7

5,769

by: bumpbot

26 Sep 2024, 05:32

ER

For positive integer n, function f(n), which is the number of positive

555-605 (Medium) | Exponents

555-605 (Medium) | Exponents hide tags

MathRevolution

08 Feb 2016, 00:21

7

4

3,268

by: bumpbot

26 Sep 2024, 00:39

ER

If –32 = (-1/2)^M, then what is the value of M ?

Sub 505 (Easy) | Exponents

Sub 505 (Easy) | Exponents hide tags

Bunuel

14 Dec 2020, 03:00

2

3

2,174

by: bumpbot

25 Sep 2024, 18:11

ER

4^3 + 4^3 + 4^3 + 4^3 =

Sub 505 (Easy) | Exponents

Sub 505 (Easy) | Exponents hide tags

shakticnb

02 Sep 2015, 03:20

32

6

7,785

by: bumpbot

25 Sep 2024, 17:06

ER

(2^8)^(2^3)=

Sub 505 (Easy) | Exponents

Sub 505 (Easy) | Exponents hide tags

Bunuel

13 Feb 2017, 02:48

3

7

2,421

by: bumpbot

25 Sep 2024, 04:20

ER

If 3^(7-n)=3^(n) -6(9^(1/2n-1)), what is the value of n+2?

655-705 (Hard) | Exponents

655-705 (Hard) | Exponents hide tags

geno5

28 Dec 2016, 06:44

18

7

6,709

by: bumpbot

24 Sep 2024, 12:15

ER

If Z = 1^1 + 2^2 + 3^3 +...+ 8^8, what is the remainder when Z is divi

705-805 (Hard) | Exponents, Remainders

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

Bunuel

01 Nov 2020, 00:30

14

3

3,213

by: bumpbot

24 Sep 2024, 06:35

ER

If 108 is a factor of N^{2} then which of the following could be the r

805+ (Hard) | Exponents, Multiples and Factors

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

akurathi12

09 Feb 2019, 10:31

45

6

10,741

by: Kinshook

23 Sep 2024, 20:14

ER

If x not equal to 0, then (1/x)^n - (1/x)^(n+1)

555-605 (Medium) | Exponents

555-605 (Medium) | Exponents hide tags

Bunuel

21 Oct 2021, 03:45

4

6

3,690

by: bumpbot

23 Sep 2024, 02:39

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

37

3

9,659

by: bumpbot

22 Sep 2024, 09:36

ER

If x>0, what is the sum of the roots of the equation x^sqrt(x)=x^2?

705-805 (Hard) | Algebra, Exponents

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

fskilnik

11 Mar 2019, 06:33

21

6

4,786

by: bumpbot

22 Sep 2024, 02:01