Problem Solving (PS)

10 Aug 2026, 04:40

ER

100 Hardest and easiest questions for PS as of June 2026

Guides & Resources

Guides & Resources hide tags

Bunuel

01 Jan 2026, 05:45

1.2k

10

321,770

15 Jun 2026, 06:41

GMAT PS Question Directory by Topic & Difficulty

Guides & Resources

Guides & Resources hide tags

bb

16 Apr 2026, 14:28

3.3k

0

1,409,951

by: bb

16 Apr 2026, 14:28

ER

How many different three-digit numbers can be formed which contain two

655-705 (Hard) | Combinations

655-705 (Hard) | Combinations hide tags

Bunuel

14 Mar 2023, 12:30

31

8

6,793

04 May 2026, 06:16

ER

What is the sum of the integers from 100 to 200 inclusive

655-705 (Hard) | Multiples and Factors

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

Chethan92

28 Aug 2018, 03:53

48

5

8,490

04 May 2026, 05:50

ER

How many three-digit positive integers are there such that when divide

705-805 (Hard) | Remainders

705-805 (Hard) | Remainders hide tags

Bunuel

19 Nov 2020, 02:30

27

7

3,768

by: Kinshook

04 May 2026, 04:59

ER

From the set of positive factors of 840 one factor is chosen at random

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

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

Bunuel

08 Jan 2021, 06:27

20

10

4,092

04 May 2026, 04:41

ER

A boat travels for three hours with a current of 3 mph and then return

505-555 (Easy) | Distance and Speed Problems

505-555 (Easy) | Distance and Speed Problems hide tags

Bhai

24 Jul 2004, 22:33

42

13

32,155

04 May 2026, 03:51

ER

The rear wheels of a car crossed a certain line 0.5 second

555-605 (Medium) | Distance and Speed Problems

555-605 (Medium) | Distance and Speed Problems hide tags

Stiv

14 Jul 2012, 01:53

272

12

44,211

04 May 2026, 03:49

ER

The average (arithmetic mean) of six numbers is 18 and the median of

655-705 (Hard) | Statistics and Sets Problems

655-705 (Hard) | Statistics and Sets Problems hide tags

Bunuel

26 Oct 2021, 08:00

37

11

11,553

by: shahsahil2101

04 May 2026, 03:08

7 Canadian dollars are worth 5 U.S. dollars, and 6 U.S. doll

805+ (Hard) | Arithmetic +2 tags

805+ (Hard) | Arithmetic, Fractions and Ratios, Word Problems hide tags

kevincan

04 May 2026, 02:41

1

445

by: rajdeep212003

04 May 2026, 03:02

ER

The function #p denotes the least integer equal to or greater than p.

555-605 (Medium) | Functions and Custom Characters

555-605 (Medium) | Functions and Custom Characters hide tags

ExpertsGlobal5

30 Apr 2026, 19:00

4

420

04 May 2026, 01:46

ER

If {x} denotes the least integer greater than or equal to x and

505-555 (Easy) | Functions and Custom Characters

505-555 (Easy) | Functions and Custom Characters hide tags

ExpertsGlobal5

30 Apr 2026, 19:00

4

720

04 May 2026, 01:43

On a recent trip to Sicily, Ismael and Paola spent money only on

555-605 (Medium) | Word Problems

555-605 (Medium) | Word Problems hide tags

kevincan

04 May 2026, 02:46

1

239

by: rajdeep212003

04 May 2026, 00:24

ER

The equation x^2 - 4x + k = 100 has two distinct integer solutions.

805+ (Hard) | Algebra

805+ (Hard) | Algebra hide tags

kevincan

03 May 2026, 23:30

6

3

322

by: kevincan

03 May 2026, 23:31

ER

If x and y are positive integer and xy is divisible by 4, which of the

505-555 (Easy) | Multiples and Factors

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

Bunuel

05 Nov 2012, 18:18

63

13

26,227

03 May 2026, 22:24

ER

How many three-digit positive integers have three different

805+ (Hard) | Combinations

805+ (Hard) | Combinations hide tags

kevincan

27 Apr 2026, 04:01

10

4

439

by: HarshavardhanR

03 May 2026, 22:09

ER

A certain bag of gemstones is composed of two-thirds

655-705 (Hard) | Probability

655-705 (Hard) | Probability hide tags

1, 2

BG

29 May 2006, 07:32

180

21

32,941

by: HarshavardhanR

03 May 2026, 20:57

ER

If S is a set of 3r distinct positive integers , and the range of S is

705-805 (Hard) | Statistics and Sets Problems

705-805 (Hard) | Statistics and Sets Problems hide tags

kevincan

22 Jan 2026, 03:26

4

2

584

by: MartyMurray

03 May 2026, 18:58

Karen has exactly 6 quarters, 5 dimes, and 10 nickels in her pocket.

805+ (Hard) | Probability

805+ (Hard) | Probability hide tags

Professor

11 May 2006, 21:21

103

19

14,042

03 May 2026, 15:37

ER

Each of the 120 hotels in Largo offers at least one of the following

655-705 (Hard) | Overlapping Sets

655-705 (Hard) | Overlapping Sets hide tags

kevincan

03 May 2026, 13:43

4

1

369

by: MartyMurray

03 May 2026, 14:45

ER

If x is a positive number and sqrt(3/2 + (sqrt(3/2 + sqrt(3/2 +

655-705 (Hard) | Algebra, Roots

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

Bunuel

03 May 2026, 12:27

63

15

9,516

03 May 2026, 12:24

When n is divided by 6, the remainder is 3, and the quotient is

555-605 (Medium) | Remainders

555-605 (Medium) | Remainders hide tags

Bunuel

10 Apr 2025, 00:53

14

6

2,064

03 May 2026, 12:24

If the positive integer x is a multiple of 3

505-555 (Easy) | Multiples and Factors

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

DrHuber

31 May 2023, 03:36

3

2

1,633

03 May 2026, 12:14

ER

How many numbers between 1 and 200

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

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

GoonerForever

18 Jul 2018, 19:50

47

5

8,954

03 May 2026, 11:58

ER

Throughout last week, water was leaking from a certain tank at a const

805+ (Hard) | Work and Rate Problems

805+ (Hard) | Work and Rate Problems hide tags

1, 2

katkot

11 Feb 2024, 20:10

193

21

19,680

by: RSaurastri

03 May 2026, 11:11

Consider seven integers; whose range is 80 and median is 240. The medi

605-655 (Medium) | Number Properties, Statistics and Sets Problems

605-655 (Medium) | Number Properties, Statistics and Sets Problems hide tags

Carcass

02 Sep 2022, 00:34

25

3

4,282

03 May 2026, 10:57

There are two integers values of n that yield an integer value for:

705-805 (Hard) | Number Properties

705-805 (Hard) | Number Properties hide tags

Bunuel

28 Jan 2022, 07:15

21

3

3,733

03 May 2026, 10:15

ER

For natural numbers m and n, let k be the remainder when m is divided

805+ (Hard) | Number Properties

805+ (Hard) | Number Properties hide tags

MathRevolution

20 Aug 2019, 00:49

13

6

2,828

03 May 2026, 10:06

ER

ABC is a three-digit number such that ABC = 5(AB + BC + CA), where AB

805+ (Hard) | Arithmetic +2 tags

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

CaptainLevi

25 Nov 2019, 01:50

72

4

11,138

03 May 2026, 09:58

ER

M is the sum of the reciprocals of the consecutive integers from 201

555-605 (Medium) | Arithmetic

555-605 (Medium) | Arithmetic hide tags

1, 2

Walkabout

06 Dec 2012, 09:42

2.2k

26

162,160

by: vrinda6

03 May 2026, 09:21

ER

The sum of the first k positive integers is equal to k(k+1)/2. What is

655-705 (Hard) | Algebra, Number Properties

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

MHIKER

05 Dec 2020, 09:17

361

14

53,279

by: eaat

03 May 2026, 08:51

ER

How many four digit numbers that are divisible by 4 can be formed usin

805+ (Hard) | Combinations, Multiples and Factors

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

Bunuel

06 Nov 2019, 06:56

56

5

12,136

03 May 2026, 08:12

ER

For an odd integer n, the function f(n) is defined as the product of a

655-705 (Hard) | Multiples and Factors

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

nkmungila

03 Nov 2017, 05:44

98

11

11,503

03 May 2026, 07:46

The number of new cars sold in a country is equal to the num

655-705 (Hard) | Percent and Interest Problems

655-705 (Hard) | Percent and Interest Problems hide tags

kevincan

18 Apr 2026, 10:51

7

1

460

by: VibhuAnurag

03 May 2026, 07:43

ER

New Set of Mixed Questions!!!

555-605 (Medium) | Coordinate Plane +10 tags

555-605 (Medium), 655-705 (Hard) | Coordinate Plane, Distance and Speed Problems, Min-Max Problems, Multiples and Factors, Must or Could be True, Overlapping Sets, Percent and Interest Problems, Probability, Remainders, Work and Rate Problems hide tags

1, 2, 3, 4

Bunuel

01 Apr 2013, 07:48

1.2k

67

148,944

03 May 2026, 07:26

In a box, 40% of the pens are red. If half of the red pens are removes

555-605 (Medium) | Percent and Interest Problems

555-605 (Medium) | Percent and Interest Problems hide tags

Bunuel

12 Oct 2022, 09:56

3

4

2,938

03 May 2026, 06:57

During a housing slump, the number of houses for sale increases by 50%

605-655 (Medium) | Percent and Interest Problems

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

Bunuel

06 Dec 2022, 10:15

5

2

1,161

03 May 2026, 06:46

The proportion of annual expense on food in a household remains

555-605 (Medium) | Percent and Interest Problems, Word Problems

555-605 (Medium) | Percent and Interest Problems, Word Problems hide tags

chetan2u

06 Dec 2017, 10:36

5

4

2,458

03 May 2026, 06:45

ER

The square of the arithmetic mean of a sequence of consecutive positiv

805+ (Hard) | Algebra, Sequences

805+ (Hard) | Algebra, Sequences hide tags

gracie

20 Nov 2017, 15:52

38

9

4,466

by: Kinshook

03 May 2026, 06:43

ER

(2/(3a))^(1/3)

655-705 (Hard) | Roots

655-705 (Hard) | Roots hide tags

Bunuel

16 Aug 2026, 09:37

31

9

7,982

by: shahsahil2101

03 May 2026, 06:37

ER

The earthworms in Sample A have an average length of 2.4 inches, and

505-555 (Easy) | Statistics and Sets Problems

505-555 (Easy) | Statistics and Sets Problems hide tags

Bunuel

23 Jun 2022, 13:30

12

3

5,500

03 May 2026, 05:47

If a, b and c are integers, and ac/b < 0, then which of the following

705-805 (Hard) | Inequalities, Number Properties

705-805 (Hard) | Inequalities, Number Properties hide tags

BrentGMATPrepNow

03 May 2017, 06:33

34

4

6,650

03 May 2026, 05:34

ER

A sum of money is to be divided among Ann, Bob and Chloe. First, Ann r

705-805 (Hard) | Word Problems

705-805 (Hard) | Word Problems hide tags

mrinal2100

10 Nov 2010, 10:14

72

15

25,713

03 May 2026, 05:17

ER

In a Question paper there are 4 multiple choice questions

555-605 (Medium) | Combinations

555-605 (Medium) | Combinations hide tags

avaneeshvyas

18 Oct 2012, 13:57

63

12

79,685

03 May 2026, 05:09

ER

A key ring has 7 keys. How many different ways can the keys be

555-605 (Medium) | Combinations

555-605 (Medium) | Combinations hide tags

voodoochild

30 Sep 2012, 17:27

50

10

34,012

03 May 2026, 05:09

ER

Ten telegenic contestants with a variety of personality

555-605 (Medium) | Combinations

555-605 (Medium) | Combinations hide tags

iwillcrackgmat

19 Mar 2012, 02:04

37

16

8,541

03 May 2026, 05:09

What is the greatest prime factor of 12! * 11! + 11! * 10! ?

705-805 (Hard) | Number Properties

705-805 (Hard) | Number Properties hide tags

Bunuel

08 Apr 2025, 00:30

14

8

1,991

03 May 2026, 05:09

ER

Which of the following integers can be written as both the

705-805 (Hard) | Number Properties

705-805 (Hard) | Number Properties hide tags

1, 2

hfbamafan

25 Apr 2012, 22:56

142

27

18,805

03 May 2026, 05:04

ER

A, B and C are three distinct single-digit positive numbers.

805+ (Hard) | Combinations, Number Properties

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

EgmatQuantExpert

18 Apr 2025, 12:02

60

11

6,798

03 May 2026, 04:29

ER

If the remainder is 13 when the integer n is divided by 26

Sub 505 (Easy) | Remainders

Sub 505 (Easy) | Remainders hide tags

eybrj2

21 Mar 2012, 00:05

35

10

13,124

03 May 2026, 04:23

ER

d and n are natural numbers such that when any number above is divided

805+ (Hard) | Number Properties, Remainders

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

kevincan

22 Apr 2026, 07:27

15

5

644

by: archanjoshi5

03 May 2026, 04:08

ER

If x and y are positive odd integers, then which of the following must

705-805 (Hard) | Exponents, Number Properties

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

Bunuel

26 Feb 2015, 06:53

81

14

21,088