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

151,804

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

312,302

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

1,383,521

by: bb

16 Apr 2026, 14:28

ER

When positive integer n is divided by 3, the remainder is 2. When n is

705-805 (Hard) | Remainders

705-805 (Hard) | Remainders hide tags

Bunuel

02 Apr 2015, 06:06

236

19

31,920

by: luisdicampo

16 Dec 2025, 02:50

ER

If M and N are positive integers that have remainders of 1

605-655 (Medium) | Remainders

605-655 (Medium) | Remainders hide tags

sagarsabnis

24 Apr 2012, 05:25

171

11

35,231

by: bumpbot

15 Dec 2025, 00:31

ER

An even number x divided by 7 gives some quotient plus a remainder of

555-605 (Medium) | Remainders

555-605 (Medium) | Remainders hide tags

1, 2

HKD1710

09 Nov 2018, 07:22

124

20

18,206

by: pulkitt

14 Dec 2025, 21:35

ER

When the integer n is divided by 6, the remainder is 3, Which of the f

Sub 505 (Easy) | Remainders

Sub 505 (Easy) | Remainders hide tags

HKD1710

24 Dec 2018, 03:38

60

9

20,654

by: pulkitt

14 Dec 2025, 21:12

ER

After distributing the sweets equally among 25 children, 8 sweets rem

605-655 (Medium) | Remainders

605-655 (Medium) | Remainders hide tags

Woody19

07 Jul 2019, 06:45

36

10

10,338

by: bumpbot

12 Dec 2025, 08:26

An integer divided by 5 has remainder of 2, and divided by 4 has a rem

655-705 (Hard) | Remainders

655-705 (Hard) | Remainders hide tags

sahilsahh

30 Jun 2024, 23:28

12

3

2,250

by: bumpbot

12 Dec 2025, 03:43

ER

Club X has more than 10 but fewer than 40 members. Sometimes the membe

605-655 (Medium) | Remainders, Word Problems

605-655 (Medium) | Remainders, Word Problems hide tags

1, 2

Walkabout

12 Dec 2012, 06:31

1.2k

22

111,811

by: bumpbot

11 Dec 2025, 16:53

ER

When the positive integers m and n are divided by the positive integer

555-605 (Medium) | Remainders

555-605 (Medium) | Remainders hide tags

Bunuel

16 Jul 2023, 05:32

19

5

4,765

by: bumpbot

11 Dec 2025, 16:27

ER

What is the remainder when 43717^(43628232)is divided by 5

555-605 (Medium) | Remainders

555-605 (Medium) | Remainders hide tags

1, 2

guerrero25

12 May 2017, 03:08

93

21

29,733

by: bumpbot

08 Dec 2025, 22:07

ER

In a division operation involving two integers, the dividend is even

Sub 505 (Easy) | Multiples and Factors +2 tags

Sub 505 (Easy) | Multiples and Factors, Number Properties, Remainders hide tags

Bunuel

02 Apr 2021, 01:45

3

4

2,477

by: bumpbot

05 Dec 2025, 10:15

ER

The sum of all three digit numbers which leave a remainder of 3, when

705-805 (Hard) | Remainders

705-805 (Hard) | Remainders hide tags

Yogananda

10 Aug 2020, 00:48

10

4

6,582

by: bumpbot

04 Dec 2025, 10:05

ER

If the remainder is 7 when positive integer n is divided by

Sub 505 (Easy) | Remainders

Sub 505 (Easy) | Remainders hide tags

eybrj2

06 Mar 2012, 23:28

187

14

64,354

by: bumpbot

02 Dec 2025, 06:49

ER

If k is a positive integer, what is the remainder when 13^(4k + 2} + 8

505-555 (Easy) | Exponents, Remainders

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

dcummins

15 Sep 2020, 06:44

73

15

17,908

by: bumpbot

02 Dec 2025, 05:07

ER

When x is divided by y, the quotient is z with remainder r. What is x

Sub 505 (Easy) | Multiples and Factors, Remainders

Sub 505 (Easy) | Multiples and Factors, Remainders hide tags

Bunuel

18 Apr 2016, 01:01

5

6

5,643

by: bumpbot

01 Dec 2025, 07:43

ER

For positive integers k and n, the k-power remainder of n is defined

805+ (Hard) | Min-Max Problems +2 tags

805+ (Hard) | Min-Max Problems, Number Properties, Remainders hide tags

Bunuel

23 Apr 2015, 04:04

232

15

18,604

by: bumpbot

30 Nov 2025, 21:50

ER

Positive integer x divided by y yields the remainder of 241 and 2x

605-655 (Medium) | Remainders

605-655 (Medium) | Remainders hide tags

Bunuel

10 May 2022, 03:00

19

3

3,268

by: bumpbot

28 Nov 2025, 18:27

ER

HOT Competition 26 Aug/8PM: When positive integer n is divided by 14,

655-705 (Hard) | Remainders

655-705 (Hard) | Remainders hide tags

Bunuel

26 Aug 2020, 20:00

108

7

9,961

by: Bunuel

26 Nov 2025, 23:22

ER

When x is divided by a, the quotient is b and the remainder is c. If a

555-605 (Medium) | Remainders

555-605 (Medium) | Remainders hide tags

BrentGMATPrepNow

16 Jun 2021, 12:47

10

6

2,726

by: bumpbot

26 Nov 2025, 18:57

ER

What is the remainder when 7^74 - 5^74 is divided by 24?

605-655 (Medium) | Remainders

605-655 (Medium) | Remainders hide tags

wizardofwashington

03 Jul 2008, 13:19

177

16

30,581

by: dnb

26 Nov 2025, 12:39

ER -1

P is a prime number greater than 30. When P is divided by 30, the rema

805+ (Hard) | Number Properties, Remainders

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

sritamasia

07 Dec 2021, 08:15

9

4

5,557

by: dictanobis

26 Nov 2025, 11:16

ER

Define a sequence recursively by F0 = 0, F1=1, and Fn= the remainder

655-705 (Hard) | Remainders, Sequences

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

Bunuel

10 May 2019, 00:40

18

3

6,227

by: bumpbot

25 Nov 2025, 19:09

ER

When x is divided by 13, the answer is y with a remainder of

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

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

Emdad

12 Aug 2020, 11:25

27

5

12,102

by: bumpbot

24 Nov 2025, 23:46

ER

What is the remainder when 32^32^32 is divided by 9?

805+ (Hard) | Exponents, Remainders

805+ (Hard) | Exponents, Remainders hide tags

Bunuel

04 Dec 2020, 07:20

22

7

18,713

by: bumpbot

23 Nov 2025, 11:33

ER

For positive integers a and b, the remainder when a is divided by b is

505-555 (Easy) | Must or Could be True, Remainders

505-555 (Easy) | Must or Could be True, Remainders hide tags

Bunuel

30 Jul 2018, 00:21

283

13

52,934

by: bumpbot

23 Nov 2025, 09:33

-1

What is the remainder when 5^122 is divided by 50?

605-655 (Medium) | Exponents, Remainders

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

RenB

02 Dec 2023, 19:02

46

4

8,811

by: ADisHere

22 Nov 2025, 12:57

ER

How many integers from 0 to 50, inclusive, have a remainder

555-605 (Medium) | Remainders

555-605 (Medium) | Remainders hide tags

1, 2

Economist

07 Jun 2021, 16:37

479

24

85,185

by: Fisayofalana

22 Nov 2025, 12:13

ER

If positive integer x is divided by 5, the result is p and

555-605 (Medium) | Remainders

555-605 (Medium) | Remainders hide tags

BN1989

08 Apr 2012, 03:33

51

17

10,399

by: Fisayofalana

22 Nov 2025, 10:51

ER

What is the remainder when positive integer n is divided by 6?

605-655 (Medium) | Remainders

605-655 (Medium) | Remainders hide tags

Bunuel

05 Apr 2022, 05:30

11

2

3,037

by: Fisayofalana

21 Nov 2025, 15:55

ER

Jason deposits money at a bank on a Tuesday and returns to the bank 10

505-555 (Easy) | Remainders

505-555 (Easy) | Remainders hide tags

Bunuel

13 Aug 2018, 05:03

14

6

10,535

by: bumpbot

20 Nov 2025, 23:46

ER

What is the remainder when 3^24 is divided by 5?

Sub 505 (Easy) | Remainders

Sub 505 (Easy) | Remainders hide tags

1, 2

nycgirl212

08 Jun 2016, 10:56

278

21

121,750

by: cryuss

20 Nov 2025, 23:36

ER

What is the remainder when 3^243 is divided by 5?

505-555 (Easy) | Remainders

505-555 (Easy) | Remainders hide tags

1, 2

jimhughes477

21 Oct 2012, 11:25

77

24

130,685

by: GSV

20 Nov 2025, 17:49

ER

What is the remainder when 11^1 + 11^2 + 11^3 + ... + 11^11 is divided

705-805 (Hard) | Exponents, Remainders

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

Bunuel

07 Dec 2022, 08:32

78

13

8,270

by: Kinshook

18 Nov 2025, 03:46

ER

Let N = 123456789101112...4344 be the 79-digit number that is formed

805+ (Hard) | Remainders

805+ (Hard) | Remainders hide tags

Bunuel

25 May 2022, 01:30

30

6

9,566

by: bumpbot

18 Nov 2025, 02:21

ER

The remainder obtained when (1!)^2 + (2!)^2 + (3!)^2+ ... + (100!)^2

655-705 (Hard) | Remainders

655-705 (Hard) | Remainders hide tags

Bunuel

24 Nov 2021, 06:45

21

4

4,323

by: bumpbot

17 Nov 2025, 05:30

ER

If x and y are positive integers such that x/y=33.375,

605-655 (Medium) | Remainders

605-655 (Medium) | Remainders hide tags

alex1233

07 May 2012, 17:24

72

9

11,864

by: bumpbot

17 Nov 2025, 05:18

ER

A number when divided by 5 gives a number which is 8 more

655-705 (Hard) | Remainders

655-705 (Hard) | Remainders hide tags

aiming4mba

22 Mar 2011, 23:39

72

18

19,277

by: bumpbot

16 Nov 2025, 05:32

ER

when t^4 is divided by 10, the remainder is r

655-705 (Hard) | Exponents, Remainders

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

Fedemaravilla

09 Nov 2017, 16:32

28

7

4,857

by: bumpbot

16 Nov 2025, 05:27

ER

P and Q are both positive integers. When P is divided by Q, the remai

655-705 (Hard) | Remainders

655-705 (Hard) | Remainders hide tags

Bunuel

27 Feb 2015, 06:00

109

8

21,929

by: bumpbot

16 Nov 2025, 04:54

ER

3 groups of 7 numbers each are made from positive integers from 1 to 2

655-705 (Hard) | Number Properties, Remainders

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

unraveled

28 Nov 2019, 11:47

52

11

12,194

by: Kinshook

15 Nov 2025, 06:32

ER

When a number is divided by 56, the remainder will be 29. If the same

Sub 505 (Easy) | Remainders

Sub 505 (Easy) | Remainders hide tags

Bunuel

12 Jun 2019, 01:52

9

6

8,282

by: bumpbot

12 Nov 2025, 23:03

ER

How many positive integers less than 100 have the remainder of 2 when

605-655 (Medium) | Remainders

605-655 (Medium) | Remainders hide tags

Bunuel

04 Oct 2022, 03:08

9

5

3,775

by: bumpbot

11 Nov 2025, 09:48

ER

What is the remainder of the division 2^56 by 7?

655-705 (Hard) | Exponents, Remainders

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

pbull78

27 Aug 2021, 23:57

38

12

27,023

by: bumpbot

11 Nov 2025, 06:01

ER

How many positive integers less than 100 have a remainder of 2 when

555-605 (Medium) | Remainders

555-605 (Medium) | Remainders hide tags

shrive555

26 Oct 2010, 22:02

55

9

34,893

by: bumpbot

08 Nov 2025, 07:31

ER

How many two-digit numbers yield a remainder of 1 when divided by both

605-655 (Medium) | Remainders

605-655 (Medium) | Remainders hide tags

Bunuel

24 Jul 2015, 00:53

40

10

9,060

by: bumpbot

08 Nov 2025, 04:21

ER

The sum of the last digits of the numbers of the form 2^(2n + 1), for

655-705 (Hard) | Exponents, Remainders

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

Bunuel

15 Jul 2021, 05:30

11

6

6,566

by: bumpbot

08 Nov 2025, 03:23

ER

What is the remainder when 2^20 is divided by 10 ?

555-605 (Medium) | Number Properties, Remainders

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

1, 2

broilerc

06 May 2016, 00:35

211

20

63,253

by: ManifestDreamMBA

07 Nov 2025, 09:02

ER

When a positive integer A is divided by 5 and 7, the remainders obtain

555-605 (Medium) | Remainders

555-605 (Medium) | Remainders hide tags

Bunuel

10 Mar 2016, 04:29

45

5

5,169

by: bumpbot

05 Nov 2025, 14:42

ER

If r is the remainder when ab is divided by ba, where both ab and ba

805+ (Hard) | Remainders

805+ (Hard) | Remainders hide tags

Bunuel

29 Nov 2022, 02:30

16

9

4,577

by: bumpbot

04 Nov 2025, 06:55

ER

If number x is positive and x leaves the remainder 1 when divided by 3

655-705 (Hard) | Remainders

655-705 (Hard) | Remainders hide tags

Bunuel

05 Apr 2022, 05:15

11

5

3,209

by: bumpbot

04 Nov 2025, 01:12

ER

When positive integer x is divided by positive integer y, the result i

705-805 (Hard) | Remainders

705-805 (Hard) | Remainders hide tags

1, 2

Bunuel

28 Jan 2015, 07:40

234

20

21,674

by: ashKing12

04 Nov 2025, 00:52