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

323

12

152,384

by: ekfdskfe

13 Jul 2025, 19:03

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100 Hardest and easiest questions for PS as of April 2026

Bunuel

01 Jan 2026, 05:45

1.1k

8

312,659

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

1,384,759

by: bb

16 Apr 2026, 14:28

ER

A fund was invested 25 years ago. Its value is approximately $300,000

505-555 (Easy) | Word Problems

505-555 (Easy) | Word Problems hide tags

Bunuel

17 Apr 2019, 21:21

5

4

3,084

by: sach24x7

03 May 2019, 20:20

ER

A function V(a, b) is defined for positive integers a, b and

705-805 (Hard) | Functions and Custom Characters

705-805 (Hard) | Functions and Custom Characters hide tags

felixjkz

11 Dec 2012, 02:14

34

9

9,947

by: bumpbot

16 Aug 2025, 03:19

ER

A function satisfies f(xy) = f(x) + f(y) for any positive numbers x

605-655 (Medium) | Functions and Custom Characters

605-655 (Medium) | Functions and Custom Characters hide tags

Bunuel

24 May 2023, 04:30

11

4

2,925

by: bumpbot

18 Jan 2026, 16:59

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A function P(x) is defined as, P(x) = 4x^3 – 2x^2. If P (z -2) =0 & z

555-605 (Medium) | Functions and Custom Characters

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

Bunuel

08 Jun 2020, 11:52

2

6

2,240

by: bumpbot

23 Oct 2024, 13:04

ER

A function is defined for all positive numbers x as f(x) = ax^(1/2) +

555-605 (Medium) | Algebra, Functions and Custom Characters

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

Bunuel

17 Apr 2019, 00:42

6

5

3,723

by: kaylaquijas

21 Oct 2021, 06:55

ER

A function is defined by f(x) = x^2 + 4x – 5. What is the minimum valu

605-655 (Medium) | Algebra, Functions and Custom Characters

605-655 (Medium) | Algebra, Functions and Custom Characters hide tags

Bunuel

25 Jul 2019, 23:40

41

8

16,848

by: bumpbot

06 May 2025, 02:51

ER

A function g(n), where n is an integer, is defined as the product of

605-655 (Medium) | Functions and Custom Characters, Number Properties

605-655 (Medium) | Functions and Custom Characters, Number Properties hide tags

Bunuel

13 Jun 2019, 00:11

26

5

3,723

by: MagnusSamIBA

29 Mar 2025, 08:27

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A function fn(x) is defined as f1(x) = x/(1+x) and fn(x)=f1(fn-1(x)).

705-805 (Hard) | Sequences

705-805 (Hard) | Sequences hide tags

MathRevolution

03 Oct 2019, 06:24

23

4

7,724

by: bumpbot

07 Apr 2025, 11:22

ER

A function f(x) satisfies 2f(x)+3f(1-x)=x^2. What is the expression of

705-805 (Hard) | Functions and Custom Characters

705-805 (Hard) | Functions and Custom Characters hide tags

MathRevolution

08 Oct 2019, 00:45

44

9

9,143

by: bumpbot

27 Sep 2025, 22:23

A function f(x) is defined for all the real values of z such that 3f(x

655-705 (Hard) | Algebra, Functions and Custom Characters

655-705 (Hard) | Algebra, Functions and Custom Characters hide tags

Briickky

07 Oct 2025, 05:34

15

4

824

by: Briickky

08 Oct 2025, 01:54

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A function f(x) is defined for all real numbers by the expression (x –

505-555 (Easy) | Functions and Custom Characters

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

Bunuel

16 Apr 2019, 23:54

4

5

4,860

by: BrushMyQuant

15 Dec 2021, 11:24

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A function f(x) is defined for all real numbers as f(x) = (x – 1)(x –

Sub 505 (Easy) | Functions and Custom Characters

Sub 505 (Easy) | Functions and Custom Characters hide tags

Bunuel

29 Jul 2019, 00:34

1

4

3,891

by: BrushMyQuant

15 Dec 2021, 11:13

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A function f(x) is defined as x *<x>. If <x> is the greatest factor o

Sub 505 (Easy) | Functions and Custom Characters

Sub 505 (Easy) | Functions and Custom Characters hide tags

MathRevolution

06 Jan 2020, 01:40

8

4

1,536

by: bumpbot

20 Feb 2025, 07:57

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A function f(x) is defined as f(x+y)=f(x)+f(y) for all real value of x

655-705 (Hard) | Functions and Custom Characters

655-705 (Hard) | Functions and Custom Characters hide tags

nick1816

01 Dec 2019, 20:55

36

8

9,300

by: bumpbot

23 Sep 2025, 18:35

ER

A function f(x) is defined as f(x) = 3x^2 − 20x + c, where c is a cons

555-605 (Medium) | Functions and Custom Characters

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

Bunuel

03 Jun 2020, 10:06

3

4

2,443

by: BrushMyQuant

07 Jun 2024, 23:35

ER

A function f(x) is defined as (x + 1)*f(x + 1) + x*f(x) + (x – 1)*f(x

805+ (Hard) | Functions and Custom Characters

805+ (Hard) | Functions and Custom Characters hide tags

Bunuel

21 Sep 2020, 01:30

23

2

8,036

by: bumpbot

22 Mar 2025, 07:02

ER

A function f(x) = ax + 3 satisfies f(-2) = 5 and 4f(-3) - 3f(2) + f(x)

555-605 (Medium) | Functions and Custom Characters

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

Bunuel

24 May 2023, 10:30

3

1,598

by: BrushMyQuant

18 Nov 2023, 02:57

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A function f(n) is defined as 2^{n-2} when n is odd and 3^{n/2}

555-605 (Medium) | Functions and Custom Characters

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

pushpitkc

25 Sep 2018, 04:32

5

2

3,561

by: bumpbot

17 Nov 2020, 13:08

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A function f(n) is defined as 2^(n-1)/2 when n is odd and 3n/2 when n

555-605 (Medium) | Exponents, Functions and Custom Characters

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

ExpertsGlobal5

27 Apr 2026, 19:00

3

4

159

by: ExpertsGlobal5

02 May 2026, 03:30

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A function f(n) is defined as 2^(n-1) when n is odd or fractional...

605-655 (Medium) | Exponents, Functions and Custom Characters

605-655 (Medium) | Exponents, Functions and Custom Characters hide tags

ExpertsGlobal5

18 Nov 2025, 22:43

1

2

964

by: Bunuel

21 Jan 2026, 06:30

ER

A function f(n) is defined as 1/n when n is an integer and as 6n when

505-555 (Easy) | Functions and Custom Characters

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

ExpertsGlobal5

19 Apr 2026, 19:00

4

5

234

by: ExpertsGlobal5

25 Apr 2026, 01:15

ER

a function f(n) is defined as 1/n when n is an integer

555-605 (Medium) | Functions and Custom Characters

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

fitzpratik

02 Jan 2019, 08:21

2

3

2,181

by: bumpbot

24 Apr 2022, 10:12

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A function f is defined recursively by f(1) = f(2) = 1 and f(n) = f(n-

805+ (Hard) | Functions and Custom Characters

805+ (Hard) | Functions and Custom Characters hide tags

Bunuel

11 Jun 2022, 03:45

10

3

5,610

by: bumpbot

24 Jul 2025, 01:55

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A function f has the property that f(3x-1)=x^2+x+1 for all real number

555-605 (Medium) | Algebra, Functions and Custom Characters

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

Bunuel

26 Mar 2019, 23:14

6

8

7,276

by: bumpbot

30 May 2024, 05:52

ER

A function D(a, 10b + c) is defined as the remainder when the sum a0 +

805+ (Hard) | Functions and Custom Characters +2 tags

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

Bunuel

09 Jun 2020, 07:13

15

9

2,736

by: bumpbot

12 Jun 2024, 17:54

ER

A function # is defined on positive integers as #(a) = #(a – 1) + 1.

Sub 505 (Easy) | Functions and Custom Characters

Sub 505 (Easy) | Functions and Custom Characters hide tags

Bunuel

14 Jul 2019, 23:44

2

4

1,368

by: Archit3110

15 Jul 2019, 07:54

ER

A function * is defined for all even positive integers n as the number

655-705 (Hard) | Functions and Custom Characters, Multiples and Factors

655-705 (Hard) | Functions and Custom Characters, Multiples and Factors hide tags

Bunuel

05 Dec 2019, 01:33

17

5

7,208

by: bumpbot

22 May 2024, 10:45

ER

A function @ is defined on positive integers as @(a) = @(a – 1) + 1. I

Sub 505 (Easy) | Functions and Custom Characters

Sub 505 (Easy) | Functions and Custom Characters hide tags

Bunuel

15 Jul 2019, 02:56

3

2,906

by: BrushMyQuant

31 Oct 2022, 23:17

ER

A fully rented apartment building contains 30 apartments consisting of

505-555 (Easy) | Word Problems

505-555 (Easy) | Word Problems hide tags

guddo

28 Jan 2024, 14:40

4

2

3,764

by: MartyMurray

22 Apr 2026, 17:27

ER

A full stationary oil tank that is a right circular cylinder

655-705 (Hard) | Geometry

655-705 (Hard) | Geometry hide tags

pikachu

19 May 2013, 22:23

32

8

10,758

by: bumpbot

04 Oct 2022, 10:25

ER

A full soap dispenser contains 400 milliliters of soap. After the firs

505-555 (Easy) | Fractions and Ratios

505-555 (Easy) | Fractions and Ratios hide tags

Bunuel

26 Oct 2020, 09:20

1

1,028

by: Abhishek009

26 Oct 2020, 09:25

ER

A full glass of lemonade is a mixture of 20% lime juice and 80% soda.

605-655 (Medium) | Mixture Problems

605-655 (Medium) | Mixture Problems hide tags

Bunuel

17 Jun 2021, 05:00

29

7

6,721

by: bumpbot

14 Jun 2025, 00:28

ER

A full glass of juice is a mixture of 20% grape juice and 80% apple ju

605-655 (Medium) | Mixture Problems

605-655 (Medium) | Mixture Problems hide tags

Bunuel

01 May 2018, 05:44

36

10

11,819

by: sujoykrdatta

23 Jan 2025, 21:01

ER

A full bottle contains 40% oil, 20% vinegar, and 40% water. The bottle

555-605 (Medium) | Mixture Problems

555-605 (Medium) | Mixture Problems hide tags

Bunuel

23 Jul 2018, 00:05

23

9

7,821

by: luisdicampo

13 Apr 2026, 08:35

ER

A full 10,000-gallon water tank will be emptied using two pumps.

555-605 (Medium) | Work and Rate Problems

555-605 (Medium) | Work and Rate Problems hide tags

nitishjain0109

08 Nov 2021, 05:37

11

5

4,499

by: bumpbot

06 Feb 2026, 05:15

ER

A fudgemaker has 40 pounds of chocolate, 65% of which is dark

505-555 (Easy) | Percent and Interest Problems

505-555 (Easy) | Percent and Interest Problems hide tags

Bunuel

10 Jun 2024, 01:31

3

2

1,298

by: PranavVyas

10 Jun 2024, 10:01

ER

A fruit, stand sells two varieties of apples at $1.00 mid $1.25 per po

505-555 (Easy) | Word Problems

505-555 (Easy) | Word Problems hide tags

Bunuel

21 May 2019, 01:14

1

3

3,994

by: ScottTargetTestPrep

27 May 2019, 05:22

ER

A fruit-salad mixture consists of apples, peaches, and grape

Sub 505 (Easy) | Fractions and Ratios, Word Problems

Sub 505 (Easy) | Fractions and Ratios, Word Problems hide tags

Walkabout

20 Dec 2012, 07:17

36

11

39,519

by: totaltestprepNick

02 Mar 2026, 07:42

ER

A fruit store sells four varieties of mangoes A, B, C and D. If A cost

505-555 (Easy) | Percent and Interest Problems

505-555 (Easy) | Percent and Interest Problems hide tags

Bunuel

23 Jul 2018, 21:18

3

1,431

by: DharLog

25 Jul 2018, 20:34

ER

A fruit seller has oranges, apples and guavas in the ratio 2:5:8. The

605-655 (Medium) | Fractions and Ratios, Multiples and Factors

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

Bunuel

15 Apr 2020, 08:18

8

5

13,949

by: bumpbot

29 Jan 2026, 05:46

ER

A fruit seller has only mangoes, oranges and apples in the ratio 3:7:1

505-555 (Easy) | Fractions and Ratios

505-555 (Easy) | Fractions and Ratios hide tags

Bunuel

03 Jan 2022, 04:15

10

3

2,721

by: bumpbot

06 Jan 2024, 04:53

ER

A fruit seller has only 8kg apples, 12 kg oranges

Sub 505 (Easy) | Percent and Interest Problems, Statistics and Sets Problems

Sub 505 (Easy) | Percent and Interest Problems, Statistics and Sets Problems hide tags

QuantMadeEasy

08 Jan 2021, 00:59

2

1,252

by: Kinshook

09 Jan 2021, 09:11

ER

A fruit seller buys 60 oranges and 50 bananas such that price

805+ (Hard) | Word Problems

805+ (Hard) | Word Problems hide tags

Suraj0184

24 Sep 2022, 03:42

5

2

1,766

by: bumpbot

25 Mar 2025, 22:07

ER

A fruit seller bought 2000 quarts of berries at 80 cents per quart. If

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

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

Bunuel

18 Feb 2018, 23:03

8

7

3,964

by: bumpbot

27 Feb 2026, 08:38

ER

A fruit salad mixture consists of apples, peaches, and grapes. There

605-655 (Medium) | Word Problems

605-655 (Medium) | Word Problems hide tags

rxs0005

15 May 2016, 06:20

7

4

5,941

by: NikMan

11 Jan 2018, 07:07

ER

A fruit salad contains 2/3 blueberries and the rest raspberries. Chen

655-705 (Hard) | Word Problems

655-705 (Hard) | Word Problems hide tags

Bunuel

21 Mar 2022, 04:58

8

1

2,373

by: JerryAtDreamScore

21 Mar 2022, 17:56

ER

A fruit merchant bought a certain quantity of A Grade apples at the ra

805+ (Hard) | Mixture Problems

805+ (Hard) | Mixture Problems hide tags

effatara

23 Sep 2019, 22:47

53

12

5,576

by: bumpbot

17 Nov 2025, 10:56

ER

A fruit Juice contains 60% fruit concentrate by weight and the rest is

555-605 (Medium) | Mixture Problems

555-605 (Medium) | Mixture Problems hide tags

findingmyself

29 Aug 2025, 09:23

6

2

1,199

by: Bunuel

29 Aug 2025, 10:24

ER

A fruit juice company altered its packaging from boxes measuring

655-705 (Hard) | Geometry, Percent and Interest Problems

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

bmwhype2

30 Oct 2007, 13:17

63

9

15,834

by: Bunuel

29 Nov 2024, 00:12

ER

A fruit drink advertises that it has 5 percent apple juice. Children

555-605 (Medium) | Mixture Problems

555-605 (Medium) | Mixture Problems hide tags

Bunuel

01 Mar 2022, 03:00

12

7

4,304

by: bumpbot

24 Dec 2025, 10:13