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

151,225

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

312,268

by: Shashankksharma

17 Apr 2026, 02:55

ER

GMAT PS Question Directory by Topic & Difficulty

bb

16 Apr 2026, 14:28

3.3k

0

1,383,345

by: bb

16 Apr 2026, 14:28

ER

How many 2-digit positive integers are divisible by 6?

505-555 (Easy) | Multiples and Factors

Bunuel

02 Nov 2020, 07:30

3

5

1,709

by: Bunuel

03 Nov 2020, 08:54

ER

The greatest common divisor of a positive integer p and 25 is 5, and

Sub 505 (Easy) | Multiples and Factors

Sub 505 (Easy) | Multiples and Factors hide tags

Bunuel

01 Nov 2020, 00:15

1

1,280

by: stne

01 Nov 2020, 02:02

ER

What is the value of n for which 4^n will have 9 factors? A) 3 B) 4 C

555-605 (Medium) | Multiples and Factors

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

GMATinsight

07 Aug 2017, 07:03

9

3

2,263

by: bumpbot

30 Oct 2020, 10:59

ER

If p^2, a perfect square number, is divisible by 5, and q, an integer,

555-605 (Medium) | Multiples and Factors

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

Sajjad1994

28 Oct 2020, 01:56

5

4

2,777

by: Harsh9676

28 Oct 2020, 10:00

ER

A positive integer X; divided by 7 has a remainder 2. Which of the fol

Sub 505 (Easy) | Multiples and Factors

Sub 505 (Easy) | Multiples and Factors hide tags

Sajjad1994

28 Oct 2020, 02:06

1

3

1,825

by: Abhishek009

28 Oct 2020, 07:16

ER

The integer x is divisible by both 8 and 14. Which of the following

505-555 (Easy) | Multiples and Factors

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

Bunuel

03 Dec 2015, 06:26

3

3,280

by: bumpbot

23 Oct 2020, 01:11

ER

How many factors of 1764 are perfect squares ? A. 4 B. 7 C.

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

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

CareerGeek

23 Jun 2019, 11:20

26

6

5,592

by: Basshead

22 Oct 2020, 12:14

ER

If x/3, x/7, and x/9 are all positive integers, what is the least poss

Sub 505 (Easy) | Multiples and Factors

Sub 505 (Easy) | Multiples and Factors hide tags

Bunuel

17 Oct 2020, 14:05

2

3,484

by: gmatcafe

17 Oct 2020, 18:42

ER

If x is a factor of positive integer y, then which of the following mu

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

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

Sajjad1994

17 Mar 2017, 02:35

16

5

3,767

by: Basshead

17 Oct 2020, 15:59

ER

Of a set of 25 consecutive integers beginning with 4, what is the prob

505-555 (Easy) | Multiples and Factors, Probability

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

Bunuel

13 Dec 2016, 07:06

8

10

5,250

by: MathRevolution

14 Oct 2020, 22:34

ER

If M = at^2/h and M ≠ 0 what is the effect on M of doubling t, triplin

505-555 (Easy) | Multiples and Factors

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

Bunuel

13 Oct 2020, 07:00

3

1,547

by: Akp880

13 Oct 2020, 20:38

ER

If 2^5, 3^3, and 13^2 are all factors of the product of 936 and w wher

505-555 (Easy) | Multiples and Factors, Number Properties

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

Bunuel

25 Apr 2016, 03:54

3

5

3,991

by: MathRevolution

02 Oct 2020, 01:40

ER

If an integer is divisible by both 27 and 10, then the integer also mu

Sub 505 (Easy) | Multiples and Factors

Sub 505 (Easy) | Multiples and Factors hide tags

Bunuel

01 Oct 2020, 02:45

2

1,547

by: Dhruvimodi

01 Oct 2020, 03:09

ER

If p – 10 is divisible by 6, then which one of the following must also

Sub 505 (Easy) | Arithmetic +2 tags

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

Sajjad1994

15 Jul 2019, 03:47

13

5

5,147

by: EgmatQuantExpert

30 Sep 2020, 05:12

ER

A certain zoo contains forty animals of five different types: bears,

Sub 505 (Easy) | Multiples and Factors

Sub 505 (Easy) | Multiples and Factors hide tags

Sajjad1994

23 Sep 2020, 05:15

1

2

1,699

by: MathRevolution

23 Sep 2020, 06:35

ER

A four digit number is formed by repeating a two digit number such as

555-605 (Medium) | Multiples and Factors

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

Hovkial

30 Aug 2019, 09:24

4

3

4,053

by: bumpbot

23 Sep 2020, 00:08

ER

How many positive integers will divide evenly into 290?

555-605 (Medium) | Multiples and Factors

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

Bunuel

15 Apr 2016, 01:05

6

7

7,773

by: Gauravji21

22 Sep 2020, 04:06

Given that i^2 = −1, for how many integers n is (n + i)^4 an integer?

805+ (Hard) | Exponents +2 tags

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

Rubina11

01 Jun 2019, 10:04

7

5

3,801

by: priyamitra

10 Sep 2020, 06:35

ER

Adding two non multiples of x always results in a multiple of x;

505-555 (Easy) | Multiples and Factors

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

stonecold

02 May 2016, 20:49

9

8

2,497

by: bumpbot

09 Sep 2020, 15:18

ER

If a is an integer divisible by 3, and b is not divisible by 3, which

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

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

Sajjad1994

06 Sep 2020, 02:02

1

3

2,636

by: IanStewart

06 Sep 2020, 09:26

ER

The Baton Rouge bound bus leaves a station every 16 minutes and the Ak

505-555 (Easy) | Multiples and Factors

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

Bunuel

10 Dec 2016, 06:18

9

5

3,010

by: bumpbot

04 Aug 2020, 10:34

ER

If n is a positive even integer, and if n/3 results in a quotient with

Sub 505 (Easy) | Multiples and Factors, Remainders

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

Sajjad1994

27 Jul 2020, 22:41

3

2,004

by: EgmatQuantExpert

30 Jul 2020, 07:25

ER

How many positive integers less than 80 are evenly divisible by 4, 5 a

Sub 505 (Easy) | Multiples and Factors

Sub 505 (Easy) | Multiples and Factors hide tags

Bunuel

21 Jul 2020, 03:25

1

3

1,619

by: chrtpmdr

24 Jul 2020, 08:30

ER

What is the largest integer that will divide evenly into 57 and 399?

Sub 505 (Easy) | Multiples and Factors

Sub 505 (Easy) | Multiples and Factors hide tags

Bunuel

07 Jul 2020, 03:14

2

1,454

by: nkme2007

07 Jul 2020, 21:42

ER

What is the least positive integer that is divisible by both 2 and 9

Sub 505 (Easy) | Multiples and Factors, Remainders

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

Bunuel

07 Jul 2020, 03:13

2

4

2,778

by: nkme2007

07 Jul 2020, 21:18

ER

What is the total number of positive factors of 6400?

505-555 (Easy) | Multiples and Factors

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

Bunuel

23 Jun 2020, 09:40

3

6

5,500

by: ScottTargetTestPrep

27 Jun 2020, 05:59

ER

If x>0, and if x+3 is a multiple of 3, which of the following is not a

Sub 505 (Easy) | Multiples and Factors

Sub 505 (Easy) | Multiples and Factors hide tags

Sajjad1994

24 Jun 2020, 05:34

1

7

3,855

by: ysp4ever

24 Jun 2020, 10:26

ER

An integer X is a multiple of 8, 14 and 33. Which of the following is

555-605 (Medium) | Multiples and Factors

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

Bunuel

23 Jun 2020, 06:56

2

1,550

by: yashikaaggarwal

23 Jun 2020, 07:52

ER

If a, b, and c are multiples of 3 such that a > b > c > 0, which of th

Sub 505 (Easy) | Multiples and Factors

Sub 505 (Easy) | Multiples and Factors hide tags

Bunuel

23 Jun 2020, 06:38

2

3,956

by: yashikaaggarwal

23 Jun 2020, 07:20

ER

If x = 103, which of the following numbers could be added to x to crea

Sub 505 (Easy) | Multiples and Factors

Sub 505 (Easy) | Multiples and Factors hide tags

Bunuel

11 Apr 2016, 03:58

2

2,571

by: Satishqwerty

14 Jun 2020, 07:13

What is the greatest number of oranges that can be distributed equally

655-705 (Hard) | Multiples and Factors

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

stonecold

28 Jan 2017, 00:31

3

6

3,328

by: bumpbot

07 Jun 2020, 22:10

ER

If the integer N = 139,k50 where k is the hundreds digit, N can NEVER

505-555 (Easy) | Multiples and Factors, Number Properties

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

Bunuel

09 Mar 2016, 12:32

3

4

2,898

by: gurmukh

06 Jun 2020, 10:32

ER

A certain class of students is being divided into teams. The class can

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

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

Bunuel

14 Apr 2016, 02:33

2

4

3,336

by: bumpbot

06 Jun 2020, 06:44

ER

How many positive factors of 2^6*5^5*7^6*10^7 are even numbers?

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

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

Bunuel

14 Apr 2020, 04:21

7

4

11,359

by: gurmukh

04 Jun 2020, 09:51

ER

For positive integers A and x, A^3 = 48x Find the least value of x

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

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

GMATinsight

29 May 2020, 08:43

4

3

1,401

by: GMATinsight

31 May 2020, 22:28

ER

If an integer is to be chosen at random from the integer 1 to 100, inc

505-555 (Easy) | Multiples and Factors, Probability

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

Bunuel

05 Jun 2019, 02:02

1

4

3,446

by: TheNightKing

30 May 2020, 09:52

ER

If 2 is the greatest number that will divide evenly into both x and y,

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

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

Sajjad1994

20 May 2017, 11:49

11

3

8,373

by: bumpbot

23 May 2020, 05:19

ER

What is the quotient of 5040 divided by the product of its unique

505-555 (Easy) | Multiples and Factors, Remainders

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

Ravixxx

05 May 2020, 22:02

4

6

3,001

by: tam87

16 May 2020, 14:45

ER

What is the total number of unique prime factors of 450?

505-555 (Easy) | Multiples and Factors, Number Properties

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

Bunuel

12 May 2020, 03:21

1

2

2,025

by: GMATWhizTeam

12 May 2020, 06:03

ER

(x + 7) is a factor in x^2 - mx - 56. What is the value of m

555-605 (Medium) | Multiples and Factors

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

Archit143

05 Dec 2012, 08:03

12

9

4,398

by: bumpbot

06 May 2020, 02:03

ER

What is the lowest positive integer that is divisible by each of the i

505-555 (Easy) | Multiples and Factors

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

Bunuel

06 Jun 2016, 05:27

3

7

4,704

by: bumpbot

05 May 2020, 22:36

ER

Let n be a positive integer such that 1/2 + 1/3 + 1/7 + 1/n is an inte

505-555 (Easy) | Multiples and Factors, Number Properties

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

Bunuel

19 Mar 2019, 00:07

6

4

5,884

by: bumpbot

05 May 2020, 22:01

ER

Find the sum of the sum of even divisors of 96 and the sum of odd divi

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

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

GMATinsight

12 Jun 2017, 07:33

28

7

23,334

by: bumpbot

20 Apr 2020, 23:41

ER

If 5^r is a factor of 30!, which of the following is the maximum possi

505-555 (Easy) | Exponents +2 tags

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

Bunuel

27 Apr 2016, 23:32

7

5

4,252

by: preetamsaha

19 Apr 2020, 10:04

ER

If n is a positive integer such that n! is divisible by 840, what is

505-555 (Easy) | Multiples and Factors, Number Properties

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

Bunuel

20 Mar 2018, 01:00

6

4

5,056

by: bumpbot

17 Apr 2020, 11:32

ER

On a weekend, 6 college friends went skiing and evenly split the cost

Sub 505 (Easy) | Multiples and Factors, Word Problems

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

Bunuel

13 Apr 2016, 05:30

5

4

3,277

by: ScottTargetTestPrep

17 Apr 2020, 04:28

ER

What is the greatest common factor of 108, 180, and 810? (A) 6 (B) 9 (

555-605 (Medium) | Multiples and Factors

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

Russ19

16 Apr 2020, 10:21

4

2

1,180

by: GMATinsight

16 Apr 2020, 10:53

ER

If 2^4, 3^3, and 11^3 are factors of the product of 1,452 and w, where

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

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

Bunuel

28 Apr 2016, 01:08

4

3

2,918

by: preetamsaha

15 Apr 2020, 11:27

ER

If k is the largest positive integer with exactly 3 positive factors

705-805 (Hard) | Multiples and Factors

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

Bunuel

14 Apr 2020, 08:56

10

4

3,743

by: gurmukh

14 Apr 2020, 21:00

ER

If p#q denotes the least common multiple of p and q, then ((12#16)#(18

505-555 (Easy) | Multiples and Factors

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

PareshGmat

03 Dec 2014, 01:55

6

4

4,030

by: gurmukh

13 Apr 2020, 21:23