Problem Solving (PS)

08 Mar 2026, 05:19

ER

@P@ is defined as the product of all even integers such r such that 0<

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

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Ravixxx

28 Apr 2020, 13:00

66

11

7,918

05 Mar 2026, 15:18

ER

For all real numbers a and b , F(a,b) =ka

705-805 (Hard) | Algebra, Functions and Custom Characters

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

kevincan

01 Mar 2026, 12:45

4

3

427

by: GraemeGmatPanda

02 Mar 2026, 04:06

ER

For which of the following functions is f(a + b) = f(a) + f(b) for all

555-605 (Medium) | Functions and Custom Characters

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

zz0vlb

23 Apr 2010, 16:24

1.0k

19

215,411

01 Mar 2026, 19:01

ER

For which of the following functions f is f(x) = f(1-x) for all x?

605-655 (Medium) | Functions and Custom Characters

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

1, 2

study

01 Apr 2026, 09:25

1.3k

20

283,196

01 Mar 2026, 19:00

ER

For all numbers x such that x is not equal 1, if g(x) is defined by

505-555 (Easy) | Algebra, Functions and Custom Characters

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Lolaergasheva

16 Jun 2017, 15:11

25

7

21,075

01 Mar 2026, 18:59

ER

For all positive integers m and v, the expression m Θ v represents the

Sub 505 (Easy) | Functions and Custom Characters, Remainders

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

nycgirl212

08 Jun 2016, 10:16

102

8

35,141

01 Mar 2026, 18:58

ER

An operation @ is defined by the equation a@b = (a - b) / (a

Sub 505 (Easy) | Functions and Custom Characters

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Walkabout

13 Dec 2012, 10:14

84

16

36,779

01 Mar 2026, 18:57

ER

For all numbers s and t, the operation * is defined by s*t =

Sub 505 (Easy) | Algebra, Functions and Custom Characters

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

Bunuel

24 Feb 2014, 23:58

53

11

31,855

01 Mar 2026, 18:55

ER

If the operation @ is defined by x@y=(xy)^1/2 for all

Sub 505 (Easy) | Algebra, Functions and Custom Characters

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

Walkabout

17 Dec 2012, 07:43

81

7

35,883

01 Mar 2026, 18:54

ER

If F1(a,b) = a-b/a+b and F2(a,b) = 1/(a+b)^2 then for positive integer

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

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rheam25

13 Mar 2020, 03:36

11

3

2,974

by: Vivek1707

28 Feb 2026, 12:23

ER

An investment firm considers four analysts for annual performance

555-605 (Medium) | Functions and Custom Characters

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Bunuel

18 Feb 2026, 07:34

3

4

445

27 Feb 2026, 02:45

ER

If the operation a* is defined by a* = 1/(a^3)^(1/2) what is the value

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

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Bunuel

03 Jun 2020, 09:50

18

5

4,693

24 Feb 2026, 13:42

ER

If [x] is the greatest integer less than or equal to x, what is the va

505-555 (Easy) | Arithmetic, Functions and Custom Characters

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Walkabout

17 Dec 2012, 09:02

456

14

123,573

24 Feb 2026, 12:54

ER

For every positive number x, f(x)= 1/4 multiplied by greatest integer

805+ (Hard) | Functions and Custom Characters, Multiples and Factors

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kevincan

23 Mar 2026, 06:31

3

1

548

by: Edskore

22 Feb 2026, 04:54

ER

If f(x) = g(x - 1), where g(x) = 2x x^2, which of the following is

505-555 (Easy) | Functions and Custom Characters

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MartyMurray

06 Mar 2026, 19:33

1

350

by: horrorslive

21 Feb 2026, 01:33

ER

For all integers n such that n > 1, the function f(n) is defined to be

655-705 (Hard) | Functions and Custom Characters +2 tags

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DrHuber

30 May 2023, 05:02

8

4

3,472

15 Feb 2026, 07:10

ER

If [x] denotes the least integer greater than or equal to x

555-605 (Medium) | Functions and Custom Characters

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

GeorgeA023

26 May 2014, 02:22

302

14

45,590

15 Feb 2026, 06:35

ER

For positive integers m and n, the function m#n defines the remainder

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

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ExpertsGlobal5

10 Feb 2026, 20:00

2

3

536

by: ExpertsGlobal5

14 Feb 2026, 06:30

ER

If x # y = 1, which of the following could be true?

655-705 (Hard) | Functions and Custom Characters, Must or Could be True

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Bunuel

06 Aug 2025, 11:23

8

3

4,779

12 Feb 2026, 13:41

ER

If f(a + b) = f(a) + f(b), then which of the following could be f(x)

605-655 (Medium) | Functions and Custom Characters

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Bunuel

31 Mar 2022, 04:15

12

4

3,232

11 Feb 2026, 03:14

ER

12 Days of Christmas GMAT Competition 2025 - Day 8: The function f(n)

705-805 (Hard) | Functions and Custom Characters, Number Properties

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

1, 2, 3

Bunuel

24 Dec 2025, 09:00

57

52

2,151

04 Feb 2026, 21:27

ER

If #p# = ap^3+ bp 1 where a and b are constants, and #-5#

555-605 (Medium) | Functions and Custom Characters

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tonebeeze

07 Aug 2025, 06:57

30

8

12,267

02 Feb 2026, 20:58

ER

For which of the following functions does f(x)=f(x) for all real num

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

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Bunuel

29 Jan 2015, 08:45

131

11

16,010

30 Jan 2026, 22:17

ER

If f(x) = 1 - 1/x, what is the value of f(f(f(x)))?

555-605 (Medium) | Functions and Custom Characters

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Bunuel

12 Dec 2022, 02:30

7

4

2,081

30 Jan 2026, 13:45

ER

For all numbers n, n* = 32 - n. What is (n*)*?

555-605 (Medium) | Functions and Custom Characters

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Bunuel

30 Jan 2021, 10:17

3

3,464

29 Jan 2026, 05:18

ER

It’s well known that a company's profit=20,000x-25x^2, where x is the

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

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MathRevolution

12 Oct 2016, 03:58

101

13

11,165

28 Jan 2026, 11:23

ER

For which of the following does f(a)−f(b)=f(a−b) for all values of a

555-605 (Medium) | Functions and Custom Characters

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madhavsrinivas

24 Dec 2013, 11:47

70

8

22,726

27 Jan 2026, 20:04

ER

x # y represents the highest integer power of y in x!. Among the

805+ (Hard) | Functions and Custom Characters, Number Properties

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

ExpertsGlobal5

20 Jan 2026, 22:00

6

2

615

by: ExpertsGlobal5

24 Jan 2026, 07:30

ER

If h(x) = |3x| + 2 and g(x) = x^2 – 7 and g(m) = 29, what is

Sub 505 (Easy) | Absolute Values +2 tags

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Bunuel

28 Jan 2019, 03:57

32

5

7,077

24 Jan 2026, 00:00

ER

For the positive integers a, b, and k, a^k||b means that a^k

505-555 (Easy) | Exponents +3 tags

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1, 2

Walkabout

12 Dec 2012, 03:59

392

22

87,844

by: egmat

22 Jan 2026, 23:08

ER

Sn = n^2 + 5n + 94 and K = S6 – S5 + S4 – S3 + S2 – S1. What is the

505-555 (Easy) | Algebra, Functions and Custom Characters

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Bunuel

11 Jun 2015, 04:33

58

8

9,950

21 Jan 2026, 06:30

ER

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

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

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ExpertsGlobal5

18 Nov 2025, 22:43

1

2

950

21 Jan 2026, 06:30

ER

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

605-655 (Medium) | Functions and Custom Characters

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Bunuel

24 May 2023, 04:30

11

4

2,897

18 Jan 2026, 16:59

ER

Which of the following lines has x-intercept and y-intercept that are

605-655 (Medium) | Functions and Custom Characters

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

MathRevolution

04 Aug 2016, 04:50

35

15

9,515

17 Jan 2026, 01:08

ER

If f(x) = 4x^2 - 36x + 77 for all real values of x from -10 and 10,

Sub 505 (Easy) | Functions and Custom Characters

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

kevincan

09 Jul 2006, 02:49

37

8

6,176

by: pappal

14 Jan 2026, 13:10

ER

IF F(x + 1/x) = x^2 + 1/x^2....what is the value of

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

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EgmatQuantExpert

17 Mar 2026, 22:05

84

11

13,595

by: MartyMurray

13 Jan 2026, 19:35

ER

If f(a*b) = f(a)*f(b) for all positive integers a and b, then what is

Sub 505 (Easy) | Functions and Custom Characters, Min-Max Problems

Sub 505 (Easy) | Functions and Custom Characters, Min-Max Problems hide tags

Bunuel

03 Apr 2020, 05:13

15

4

4,963

11 Jan 2026, 23:15

ER

The symbol n* denotes the sum of all the fractions of the form 2/s, wh

605-655 (Medium) | Functions and Custom Characters

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gsingh0711

29 Jul 2018, 19:48

10

3

5,070

by: BrushMyQuant

10 Jan 2026, 04:03

ER

If f(3x + 2) = 9x2 + 12x - 1, then f(k - 1) =

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

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BrentGMATPrepNow

12 Aug 2018, 07:39

74

11

9,018

07 Jan 2026, 08:08

ER

If f(2x - 1) = 4x^2 - 4x - 8, then f(5) =

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

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BrentGMATPrepNow

12 Aug 2018, 06:52

45

10

9,123

03 Jan 2026, 05:51

ER

If g(x) = ax^5 + bx^3 + 1, and g(5) = 10, then g(–5) =?

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

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Bunuel

19 Jan 2022, 07:15

26

3

3,160

by: tanvi0915

02 Jan 2026, 09:27

ER

If [x] is the least integer greater than or equal to x, and [x/2]=3, w

Sub 505 (Easy) | Arithmetic, Functions and Custom Characters

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MathRevolution

12 Jun 2017, 01:04

36

10

5,051

30 Dec 2025, 08:55

ER

For any integer m greater than 1, $m denotes the product of

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

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

megafan

04 Mar 2013, 11:31

57

10

9,898

29 Dec 2025, 03:28

ER

If f(5) = 12, what is the value of f(1)

605-655 (Medium) | Functions and Custom Characters

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pushpitkc

06 Nov 2017, 11:57

25

5

8,767

28 Dec 2025, 05:58

ER

In x-y plane, there is a right triangle ABC (∠B=90o). If the length o

655-705 (Hard) | Functions and Custom Characters

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MathRevolution

10 May 2016, 19:06

11

4

3,775

28 Dec 2025, 05:26

ER

The graph of y = f(x) is shown to the right. If f(–1) = v, then which

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

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Bunuel

16 Apr 2019, 23:38

7

3

3,851

28 Dec 2025, 02:26

ER

If ab = (a + b)^2 - 2ab, which of the following is (are) true?

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

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Bunuel

30 Jan 2023, 05:21

11

3

3,674

28 Dec 2025, 02:24

ER

If f(x) = f(x-1) + f(x-2) and f(5) = 5 and f(1) = 1, what is the value

605-655 (Medium) | Functions and Custom Characters

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

RenB

30 Sep 2023, 06:51

17

2

5,119