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

321

12

151,873

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

312,342

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

1,383,671

by: bb

16 Apr 2026, 14:28

ER

What is the units digit of 4^674?

Sub 505 (Easy) | Exponents

Sub 505 (Easy) | Exponents hide tags

TheUltimateWinner

14 Mar 2020, 08:29

7

4

3,722

by: kingbucky

04 May 2025, 23:51

ER

What is the units digit of 31467^32*97645^23*(32168^5 + 8652)^479?

555-605 (Medium) | Exponents, Number Properties

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

Bunuel

02 Nov 2020, 02:00

2

1,267

by: CrackverbalGMAT

02 Nov 2020, 02:49

ER

What is the units digit of 31 + 32^2 + 33^3 + 34^4 + 35^5 + 36^6 ?

555-605 (Medium) | Exponents, Number Properties

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

Bunuel

22 Jan 2021, 09:45

4

5,191

by: bumpbot

25 Oct 2023, 11:11

ER

What is the units digit of 3*38*537*1256 ?

Sub 505 (Easy) | Number Properties

Sub 505 (Easy) | Number Properties hide tags

Bunuel

03 Aug 2021, 05:30

2

4

3,846

by: bumpbot

10 Sep 2024, 17:25

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

4,191

by: BrushMyQuant

03 Oct 2024, 07:47

ER

What is the units digit of 3^987 ?

505-555 (Easy) | Exponents, Number Properties

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

Bunuel

25 Jan 2022, 09:15

6

3

2,852

by: bumpbot

31 Oct 2025, 03:50

ER

What is the units digit of 3^67?

505-555 (Easy) | Exponents, Number Properties

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

Bunuel

10 Nov 2023, 11:06

1

3,012

by: VivekSri

11 Nov 2023, 00:39

ER

What is the units digit of 3^66?

505-555 (Easy) | Exponents, Number Properties

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

Bunuel

25 May 2023, 04:30

2

2,233

by: nehasingh110

25 May 2023, 11:04

ER

What is the units digit of 3^3^3?

605-655 (Medium) | Exponents, Number Properties

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

Bunuel

03 Oct 2019, 04:59

52

4

21,660

by: bumpbot

26 Sep 2025, 04:11

ER

What is the units digit of 3^23 - 2^18 ?

505-555 (Easy) | Exponents

505-555 (Easy) | Exponents hide tags

Bunuel

06 Dec 2018, 00:19

7

3

5,376

by: bumpbot

20 Sep 2024, 09:58

ER

What is the units digit of 3^2018 - 2^2018 ?

505-555 (Easy) | Exponents, Number Properties

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

Bunuel

05 Apr 2023, 08:45

2

2,767

by: $!vakumar.m

05 Apr 2023, 08:53

ER

What is the units digit of 27^14 ?

Sub 505 (Easy) | Exponents, Number Properties

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

Bunuel

31 May 2021, 02:45

2

3,181

by: GMATinsight

31 May 2021, 05:51

ER

What is the units digit of 26! + 50! + 4! + 4!?

505-555 (Easy) | Number Properties

505-555 (Easy) | Number Properties hide tags

Bunuel

21 Apr 2016, 00:44

14

6

6,192

by: bumpbot

09 Nov 2023, 05:35

ER

What is the units digit of 248^20?

505-555 (Easy) | Number Properties

505-555 (Easy) | Number Properties hide tags

MathRevolution

07 Jul 2017, 01:11

13

8

11,033

by: VirenderSingh092

10 May 2025, 08:15

ER

What is the units digit of 23^14 + 17^12 ?

505-555 (Easy) | Exponents

505-555 (Easy) | Exponents hide tags

Bunuel

17 Apr 2018, 05:16

15

6

12,940

by: bumpbot

19 Nov 2025, 23:20

ER

What is the units digit of 2222^(333)*3333^(222) ?

555-605 (Medium) | Multiples and Factors, Number Properties

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

belagerfeld

28 Jan 2012, 11:55

71

15

50,616

by: ManifestDreamMBA

21 Apr 2025, 10:20

ER

What is the units digit of 2^99?

505-555 (Easy) | Exponents, Number Properties

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

Bunuel

29 Mar 2018, 23:42

9

7

11,793

by: bumpbot

29 Apr 2025, 05:39

ER

What is the units digit of 2^39?

Sub 505 (Easy) | Exponents

Sub 505 (Easy) | Exponents hide tags

Bunuel

18 Feb 2020, 06:18

4

11,575

by: BrushMyQuant

12 Dec 2023, 09:21

ER

What is the units digit of 2^2222?

505-555 (Easy) | Exponents, Number Properties

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

Bunuel

11 Nov 2022, 13:49

4

3

6,393

by: bumpbot

28 Mar 2026, 15:08

ER

What is the units digit of 2^2012 + 32^012 + 5^2012 + 7^2012 ?

555-605 (Medium) | Exponents, Number Properties

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

Bunuel

11 Nov 2022, 13:53

11

2

4,095

by: bumpbot

17 Apr 2024, 08:34

ER

What is the units digit of 2^105 + 3^105 + 4^105 + 5^105 ?

505-555 (Easy) | Exponents, Number Properties

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

Bunuel

19 Mar 2023, 07:45

5

3

3,503

by: BrushMyQuant

02 Jan 2025, 05:18

ER

What is the units digit of 19^40?

Sub 505 (Easy) | Exponents, Number Properties

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

TheUltimateWinner

17 Mar 2020, 09:07

4

3

4,106

by: bumpbot

30 Oct 2022, 11:57

ER

What is the units digit of 19^2*23^3*31^4 ?

Sub 505 (Easy) | Exponents

Sub 505 (Easy) | Exponents hide tags

Bunuel

14 Sep 2021, 02:45

1

2

1,659

by: Crytiocanalyst

14 Sep 2021, 06:35

ER

What is the units digit of 18! + 4!?

505-555 (Easy) | Number Properties

505-555 (Easy) | Number Properties hide tags

Bunuel

19 Apr 2016, 03:05

39

7

13,763

by: uCS2020

29 Nov 2023, 13:40

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

33,607

by: bumpbot

24 Nov 2024, 12:43

ER

What is the units digit of 17^83 × 13^82 × 11^87?

555-605 (Medium) | Exponents, Number Properties

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

Bunuel

22 Apr 2016, 04:29

3

4

5,855

by: randomavoidplease

20 Apr 2020, 08:06

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

3,945

by: BrushMyQuant

03 Oct 2024, 07:41

ER

What is the units digit of 17^381?

505-555 (Easy) | Exponents, Number Properties

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

Bunuel

15 May 2023, 10:30

1

1,476

by: Abhishek009

16 May 2023, 08:45

ER

What is the units digit of 17^27?

Sub 505 (Easy) | Exponents, Number Properties

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

Carcass

29 Aug 2023, 09:37

9

5

7,451

by: bumpbot

01 Feb 2026, 12:16

ER

What is the units digit of 16^4*27^3 ?

Sub 505 (Easy) | Exponents, Number Properties

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

Bunuel

30 Mar 2021, 05:00

2

4

2,419

by: bumpbot

27 Mar 2024, 12:59

ER

What is the units digit of 15^9 -16^6?

505-555 (Easy) | Number Properties

505-555 (Easy) | Number Properties hide tags

Russ19

22 Mar 2020, 23:47

16

7

5,659

by: bumpbot

03 Sep 2024, 17:55

ER

What is the units digit of 13^86?

Sub 505 (Easy) | Exponents, Number Properties

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

Bunuel

31 Jan 2023, 07:36

5

3

3,257

by: bumpbot

25 Nov 2025, 21:04

ER

What is the units digit of 13^4*17^2*29^3?

505-555 (Easy) | Number Properties

505-555 (Easy) | Number Properties hide tags

niheil

24 Jan 2017, 12:43

97

9

53,552

by: shivani1351

17 Jan 2026, 22:49

ER

What is the units digit of 13^35?

Sub 505 (Easy) | Exponents, Number Properties

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

Bunuel

03 Feb 2019, 22:17

3

5

9,941

by: BrushMyQuant

13 Dec 2023, 08:23

ER

What is the units digit of 13^27?

Sub 505 (Easy) | Exponents, Number Properties

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

Bunuel

02 Nov 2020, 03:00

8

4

8,659

by: bumpbot

09 Aug 2024, 05:50

ER

What is the units digit of 13^27?

Sub 505 (Easy) | Exponents, Number Properties

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

Bunuel

13 May 2021, 06:45

5

3

2,346

by: bumpbot

11 Jan 2024, 03:56

ER

What is the units digit of 13^25*17^25?

505-555 (Easy) | Exponents

505-555 (Easy) | Exponents hide tags

Bunuel

28 Jul 2022, 10:15

2

3

4,127

by: av1901

28 Jul 2022, 12:16

ER

What is the units digit of 13^2003 ?

Sub 505 (Easy) | Exponents, Number Properties

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

Bunuel

19 Mar 2019, 02:35

41

10

32,856

by: bumpbot

01 Jul 2025, 04:12

ER

What is the units digit of 10!/100?

555-605 (Medium) | Number Properties

555-605 (Medium) | Number Properties hide tags

Bunuel

02 Nov 2020, 02:15

3

4

2,140

by: Abhishek009

02 Nov 2020, 08:03

ER

What is the units digit of 1^3 + 2^3 + 3^3 + ... + 99^3 ?

605-655 (Medium) | Exponents, Number Properties

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

Bunuel

22 Jan 2021, 09:30

32

4

14,722

by: Yosemite98

17 May 2025, 00:54

ER

What is the units digit of [m](3^70)(7^71)[/m]?

505-555 (Easy) | Exponents

505-555 (Easy) | Exponents hide tags

BrentGMATPrepNow

27 Nov 2021, 09:25

6

7

2,443

by: bumpbot

14 Jun 2023, 03:22

ER

What is the units digit of (71) 5(46) 3(103) 4 + (57)(1088) 3 ?

555-605 (Medium) | Number Properties

555-605 (Medium) | Number Properties hide tags

BillyZ

24 Jan 2017, 22:37

35

6

14,538

by: bumpbot

09 Jan 2025, 02:22

ER

What is the units digit of (5!*4! + 6!*5!)/31?

555-605 (Medium) | Arithmetic, Number Properties

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

Bunuel

19 Apr 2016, 03:15

19

8

6,100

by: shankss07

30 Apr 2025, 10:43

What is the units digit of (493) (915) (381) (756) (29)

Sub 505 (Easy) | Number Properties

Sub 505 (Easy) | Number Properties hide tags

clciotola

14 May 2013, 08:41

6

13

5,447

by: JUNENTW

30 Dec 2020, 03:46

ER

What is the units digit of (4^32 - 3^32)?

505-555 (Easy) | Exponents, Number Properties

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

Bunuel

11 Nov 2022, 13:50

5

2

3,603

by: bumpbot

08 Aug 2024, 05:52

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

4,815

by: bumpbot

11 Nov 2024, 15:08

ER

What is the units digit of (3^{101})(7^{103})?

505-555 (Easy) | Exponents, Number Properties

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

MathRevolution

29 Aug 2018, 01:56

6

10

11,135

by: BrentGMATPrepNow

03 Oct 2018, 08:31

What is the units digit of (23)^7 * (12)^8 * (517)^22 ?

Sub 505 (Easy) | Exponents, Number Properties

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

8.toastcrunch

19 Jul 2023, 01:52

3

1

3,176

by: gmatophobia

19 Jul 2023, 02:42

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

2,911

by: ablatt4

26 Aug 2025, 11:39

What is the units digit of (11)3 (29)4 (43)2 ?

Sub 505 (Easy) | Exponents, Number Properties

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

Carcass

06 Sep 2022, 00:57

2

1,788

by: av1901

06 Sep 2022, 21:49