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

151,874

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

312,343

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

1,383,674

by: bb

16 Apr 2026, 14:28

ER

What is the smallest positive integer that has exactly 12 positive fac

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

Bunuel

14 Apr 2020, 04:57

13

5

10,198

by: bumpbot

18 Nov 2025, 02:52

ER

What is the smallest positive multiple of 15 that has only 0 and 1 as

555-605 (Medium) | Multiples and Factors

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

Bunuel

26 Aug 2023, 05:00

2

4

4,825

by: bumpbot

17 Nov 2025, 05:47

ER

An integer n between 1 and 99, inclusive, is to be chosen at

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

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

1, 2

accincognito

07 Nov 2013, 09:54

1.0k

28

114,634

by: GSV

17 Nov 2025, 02:37

ER

If p and n are positive integers, with p > n, what is the average of n

655-705 (Hard) | Multiples and Factors, Number Properties

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

Bunuel

14 Sep 2015, 22:53

73

8

10,812

by: bumpbot

16 Nov 2025, 22:53

ER

How many positive integers less than 5,000 are multiples of 7 and are

655-705 (Hard) | Multiples and Factors, Number Properties

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

Bunuel

30 Aug 2023, 01:30

10

2

2,139

by: bumpbot

16 Nov 2025, 02:12

ER

How many positive integers less than 250 are multiple of 4 but NOT mul

605-655 (Medium) | Multiples and Factors, Number Properties

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

Bunuel

17 Apr 2015, 05:06

147

15

24,500

by: Fisayofalana

15 Nov 2025, 15:14

ER

What is the greatest integer value of n such that 9^n is a factor

655-705 (Hard) | Multiples and Factors

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

foragge1234

17 Dec 2022, 00:04

27

8

6,015

by: bumpbot

15 Nov 2025, 14:36

ER

How many multiples of 4 are there between 12 and 96, inclusive?

505-555 (Easy) | Multiples and Factors

505-555 (Easy) | Multiples and Factors hide tags

1, 2

Bunuel

26 May 2010, 12:21

717

24

75,954

by: bumpbot

14 Nov 2025, 19:44

ER

If the average of six consecutive multiples of 4 is 22, what is the gr

505-555 (Easy) | Multiples and Factors

505-555 (Easy) | Multiples and Factors hide tags

Bunuel

05 Oct 2021, 06:00

9

4

2,907

by: bumpbot

14 Nov 2025, 10:18

ER

In a set of integers, one-half of the numbers are multiples

605-655 (Medium) | Multiples and Factors, Percent and Interest Problems

605-655 (Medium) | Multiples and Factors, Percent and Interest Problems hide tags

registerincog

16 Nov 2013, 11:10

56

15

10,994

by: bumpbot

13 Nov 2025, 09:41

ER

N is positive integer and when N is divided by 24, the remainder is 16

655-705 (Hard) | Multiples and Factors

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

GMATWhizTeam

10 Apr 2020, 07:52

18

8

5,148

by: bumpbot

13 Nov 2025, 07:27

ER

The positive integer q is divisible by 15. If the product of

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

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

alchemist009

05 Jun 2012, 19:12

75

17

18,187

by: bumpbot

12 Nov 2025, 20:42

ER

Number of 5 digit numbers divisible by 25 that can be formed using onl

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

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

Bunuel

26 Feb 2021, 04:00

20

3

4,880

by: bumpbot

12 Nov 2025, 19:49

ER

What is the probability that a two digit positive integer selected at

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

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

Bunuel

26 Feb 2024, 02:30

9

5

2,818

by: Bunuel

12 Nov 2025, 10:00

ER

If x and y are prime numbers such that x > y > 2, then x^2 −

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

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

Asifpirlo

08 Jul 2019, 01:25

20

15

9,069

by: bumpbot

12 Nov 2025, 07:55

ER

If R and S are different integers, both divisible by 5, then which of

Sub 505 (Easy) | Multiples and Factors

Sub 505 (Easy) | Multiples and Factors hide tags

Bunuel

22 Oct 2019, 03:14

8

5

9,495

by: bumpbot

12 Nov 2025, 07:37

ER

If integer m is 3 more than a multiple of 5 and 2 more than a multiple

605-655 (Medium) | Multiples and Factors

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

Bunuel

03 Nov 2022, 07:48

10

4

2,570

by: bumpbot

11 Nov 2025, 23:41

ER

Around the World in 80 Questions (Day 6): How many three-digit

805+ (Hard) | Multiples and Factors

805+ (Hard) | Multiples and Factors hide tags

Bunuel

24 Jul 2023, 08:00

36

9

7,637

by: bumpbot

11 Nov 2025, 19:57

ER

n is a positive integer, and k is the product of all integers from 1

605-655 (Medium) | Min-Max Problems +2 tags

605-655 (Medium) | Min-Max Problems, Multiples and Factors, Number Properties hide tags

shrive555

04 Nov 2010, 18:15

414

19

57,391

by: bumpbot

11 Nov 2025, 14:13

ER

D and F represent two distinct digits. If the number 457D89F is divisi

705-805 (Hard) | Multiples and Factors

705-805 (Hard) | Multiples and Factors hide tags

Bunuel

01 Nov 2019, 04:49

172

18

26,514

by: bumpbot

11 Nov 2025, 09:11

ER

x and y are positive integers. If the greatest common divisor of x and

705-805 (Hard) | Multiples and Factors

705-805 (Hard) | Multiples and Factors hide tags

BrentGMATPrepNow

03 Feb 2017, 07:36

71

10

8,757

by: Dereno

11 Nov 2025, 07:51

ER

If the greatest common divisor of (n+2)!, (n-2)!, and (n+4)! is 120,

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

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

Bunuel

13 Dec 2015, 03:54

53

9

8,809

by: bumpbot

10 Nov 2025, 21:57

ER

How many factors of 1500 are not divisible by 15?

705-805 (Hard) | Multiples and Factors

705-805 (Hard) | Multiples and Factors hide tags

CAMANISHPARMAR

16 Jun 2018, 02:46

93

9

16,070

by: bumpbot

10 Nov 2025, 11:52

ER

What is the reminder when 11^122 is divided by 100?

555-605 (Medium) | Multiples and Factors

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

Mo2men

03 Jul 2019, 14:25

19

12

5,078

by: bumpbot

09 Nov 2025, 07:41

ER

If x and y are integers, and x² + xy + y + x is even,

705-805 (Hard) | Multiples and Factors

705-805 (Hard) | Multiples and Factors hide tags

BrentGMATPrepNow

27 Sep 2021, 07:46

20

4

3,415

by: bumpbot

09 Nov 2025, 06:51

ER

If x is an integer greater than 3, which of the following MUST be divi

655-705 (Hard) | Multiples and Factors

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

Bunuel

24 Oct 2016, 23:24

42

7

8,397

by: bumpbot

09 Nov 2025, 03:18

ER

Sara is an avid lottery player. In the certain game she plays, she mus

655-705 (Hard) | Multiples and Factors, Number Properties

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

Bunuel

14 Apr 2016, 02:29

15

4

5,719

by: bumpbot

09 Nov 2025, 00:15

ER

x and y are positive integers and 5x + 4y = 240. If x is a multiple of

705-805 (Hard) | Multiples and Factors

705-805 (Hard) | Multiples and Factors hide tags

Anasayaydah

29 Oct 2019, 13:19

29

11

7,066

by: bumpbot

08 Nov 2025, 11:21

ER

What is the probability that a randomly selected positive factor of 72

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

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

Russ19

16 Apr 2020, 09:56

37

13

5,068

by: bumpbot

08 Nov 2025, 03:32

ER

If p is a positive integer, what is the greatest integer that must be

705-805 (Hard) | Multiples and Factors

705-805 (Hard) | Multiples and Factors hide tags

ritu1009

12 Dec 2018, 04:25

46

14

7,363

by: Bunuel

08 Nov 2025, 01:13

ER

If the square root of p^2 is an integer greater than 1, which of the

705-805 (Hard) | Multiples and Factors +2 tags

705-805 (Hard) | Multiples and Factors, Must or Could be True, Number Properties hide tags

monir6000

15 Nov 2020, 11:21

173

15

26,694

by: bumpbot

07 Nov 2025, 13:40

ER

If the prime factorization of the integer q can be expressed

805+ (Hard) | Exponents +2 tags

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

enigma123

18 Apr 2013, 21:38

224

10

26,121

by: pappal

06 Nov 2025, 09:34

ER

What is the greatest prime factor of 3^6 - 1 ?

555-605 (Medium) | Algebra +2 tags

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

rrsnathan

04 Feb 2014, 03:35

161

12

24,710

by: bumpbot

05 Nov 2025, 18:20

ER

Find the number of divisors 544 which are greater than 3

655-705 (Hard) | Multiples and Factors

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

saswata4s

24 Jan 2017, 00:10

12

3

13,099

by: bumpbot

05 Nov 2025, 09:54

ER

A number is randomly chosen from the first 100 positive integers. What

Sub 505 (Easy) | Multiples and Factors, Probability

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

Bunuel

03 Jan 2019, 04:48

47

8

15,875

by: bumpbot

05 Nov 2025, 03:27

ER

How many factors of 9600 are not divisible by 12?

705-805 (Hard) | Multiples and Factors

705-805 (Hard) | Multiples and Factors hide tags

CAMANISHPARMAR

05 Jun 2018, 22:41

79

11

9,752

by: bumpbot

04 Nov 2025, 10:10

ER

How many factors of 240 are also multiples of 3 ?

605-655 (Medium) | Multiples and Factors, Number Properties

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

gmatquant25

23 Sep 2014, 10:19

57

7

13,025

by: bumpbot

03 Nov 2025, 21:29

ER

Two hands of a watch are pointing at 12 o'clock. One hand spins at a

705-805 (Hard) | Multiples and Factors, Word Problems

705-805 (Hard) | Multiples and Factors, Word Problems hide tags

Bunuel

02 Dec 2020, 01:15

56

6

5,861

by: bumpbot

03 Nov 2025, 19:12

ER

A number has exactly 32 factors out of which 4 are not compo

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

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

GMATtracted

21 Apr 2021, 04:05

39

8

9,421

by: pappal

03 Nov 2025, 14:31

ER

How many positive factors of 240 are divisible by 12?

605-655 (Medium) | Multiples and Factors

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

Bunuel

13 May 2022, 07:45

7

2

1,734

by: pappal

03 Nov 2025, 13:04

ER

How many positive integers less than 100 are divisible by exactly

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

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

Ravixxx

17 Apr 2020, 12:08

31

6

10,580

by: pappal

03 Nov 2025, 12:50

ER

For positive integers M and N, if 24 is a divisor of M and 36 is a

605-655 (Medium) | Multiples and Factors

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

Bunuel

10 Aug 2023, 03:00

238

18

39,997

by: bot00078

03 Nov 2025, 04:19

ER

If Q the square of an odd positive integer and if 8Q^8 has four prime

655-705 (Hard) | Multiples and Factors, Number Properties

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

Bunuel

25 Nov 2019, 01:20

17

10

7,340

by: bumpbot

03 Nov 2025, 02:42

ER

Which of the following CANNOT be the greatest common divisor of two

Sub 505 (Easy) | Multiples and Factors

Sub 505 (Easy) | Multiples and Factors hide tags

Bunuel

08 Feb 2011, 01:43

212

15

43,357

by: bumpbot

03 Nov 2025, 01:16

ER

If p and q are positive integers such that when they are divided by 5,

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

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

franz711

04 Jul 2017, 06:02

69

6

10,825

by: bumpbot

02 Nov 2025, 20:25

ER

What is the greatest value of m such that 4^m is a factor of 30! ?

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

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

1, 2

rxs0005

03 Dec 2010, 18:12

592

21

46,041

by: Fisayofalana

02 Nov 2025, 20:23

ER

12 Days of Christmas GMAT Competition - Day 10: If n is a positive two

805+ (Hard) | Multiples and Factors

805+ (Hard) | Multiples and Factors hide tags

Bunuel

22 Dec 2023, 07:00

11

10

4,064

by: bumpbot

02 Nov 2025, 10:35

ER

If x is an integer, then x(x – 1)(x – k) must be evenly divisible by

605-655 (Medium) | Multiples and Factors, Number Properties

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

1, 2

anilnandyala

23 Sep 2019, 03:50

565

38

55,049

by: ashKing12

02 Nov 2025, 09:16

ER

If 41 is a factor of positive integer y, which of the following MUST

655-705 (Hard) | Multiples and Factors

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

Bunuel

02 Jul 2020, 01:48

6

4

1,977

by: bumpbot

02 Nov 2025, 08:25

ER

How many integers between 1 and 1000 (inclusive) are divisible by 7

805+ (Hard) | Multiples and Factors

805+ (Hard) | Multiples and Factors hide tags

RMD007

21 Oct 2017, 10:54

32

6

14,503

by: bumpbot

02 Nov 2025, 01:07