GMAT Club Forum

ER

100 Hardest and easiest questions for PS as of April

655-705 Level

655-705 Level hide tags

1, 2

Bunuel

21 Aug 2015, 03:49

973

22

257,515

by: bb

30 Mar 2024, 10:13

ER

GMAT PS Question Directory by Topic & Difficulty

505-555 Level +6 tags

505-555 Level, 555-605 Level, 605-655 Level, 655-705 Level, 705-805 Level, 805+ Level, Sub 505 Level hide tags

bb

22 Feb 2012, 11:27

2,853

0

1,181,759

by: bb

22 Feb 2012, 11:27

ER

ABCD is a rectangle whose diagonals intersect at a

805+ Level | Geometry

805+ Level | Geometry hide tags

Bunuel

09 Aug 2022, 01:30

5

2

1,784

by: ThatDudeKnows

09 Aug 2022, 06:55

ER

In 1989 the price of a new model S car was x dollars.

Sub 505 Level | Percent and Interest Problems

Sub 505 Level | Percent and Interest Problems hide tags

Bunuel

11 Nov 2015, 00:40

9

5

5,393

by: bumpbot

09 Aug 2022, 06:32

ER

Ali and Moe can do a certain job together in 4 hours

555-605 Level | Work Problems

555-605 Level | Work Problems hide tags

Bunuel

07 May 2017, 13:47

24

15

4,528

by: naveeng15

09 Aug 2022, 02:42

ER

Which of the following numbers is the least positive

555-605 Level | Divisibility/Multiples/Factors, Number Properties

555-605 Level | Divisibility/Multiples/Factors, Number Properties hide tags

Bunuel

20 Mar 2018, 01:01

1

6

3,202

by: bumpbot

09 Aug 2022, 01:51

ER

If x is a prime number, and x-1 is the median of the

555-605 Level | Statistics and Sets Problems

555-605 Level | Statistics and Sets Problems hide tags

Bunuel

15 Jan 2015, 07:40

10

6

2,829

by: naveeng15

08 Aug 2022, 22:09

ER

Which of the following points are located within the

505-555 Level | Coordinate Geometry

505-555 Level | Coordinate Geometry hide tags

Bunuel

04 Nov 2018, 23:48

28

9

5,535

by: yash1208

08 Aug 2022, 21:23

ER

A clothing manufacturer has determined that she can

655-705 Level | Word Problems

655-705 Level | Word Problems hide tags

Bunuel

04 Jan 2021, 07:29

6

3

5,366

by: bumpbot

08 Aug 2022, 20:55

ER

If f(x) = x^2 and g(x) = 2^x, for all x. Then what is

655-705 Level | Algebra +2 tags

655-705 Level | Algebra, Exponents, Functions and Custom Characters hide tags

Bunuel

03 Apr 2020, 04:39

3

2

2,043

by: BrushMyQuant

08 Aug 2022, 10:10

ER

If f(x) = 2x^2 + 7x - 9 and g(x) = 2x + 3, then what

Sub 505 Level | Functions and Custom Characters

Sub 505 Level | Functions and Custom Characters hide tags

Bunuel

22 Jan 2021, 06:45

1

2

2,006

by: BrushMyQuant

08 Aug 2022, 10:07

ER

f(x) = 2x - 2 and g(x) = x/2 + 2. What is the value of

Sub 505 Level | Functions and Custom Characters

Sub 505 Level | Functions and Custom Characters hide tags

Bunuel

08 Mar 2022, 09:00

2

1,405

by: BrushMyQuant

08 Aug 2022, 10:03

ER

The function # is defined for any positive whole

Sub 505 Level | Algebra, Functions and Custom Characters

Sub 505 Level | Algebra, Functions and Custom Characters hide tags

Bunuel

17 May 2022, 08:45

2

3,158

by: BrushMyQuant

08 Aug 2022, 10:00

ER

If f(x) = 2x^2 − 4 and g(x) = 2x, for what values of

505-555 Level | Algebra, Functions and Custom Characters

505-555 Level | Algebra, Functions and Custom Characters hide tags

Bunuel

10 Mar 2020, 04:51

8

6

6,301

by: BrushMyQuant

08 Aug 2022, 09:56

ER

For all value of x and y, x Θ y = 3x + y. What is the

Sub 505 Level | Functions and Custom Characters

Sub 505 Level | Functions and Custom Characters hide tags

Bunuel

05 Jan 2017, 04:00

3

1,667

by: BrushMyQuant

08 Aug 2022, 09:51

ER

If a$b = a/b - b/a for all integer values of a and b,

Sub 505 Level | Arithmetic, Functions and Custom Characters

Sub 505 Level | Arithmetic, Functions and Custom Characters hide tags

Bunuel

04 Jan 2017, 01:56

1

4

2,086

by: BrushMyQuant

08 Aug 2022, 09:48

ER

In a certain school, the ratio of the number of first

555-605 Level | Fractions/Ratios/Decimals

555-605 Level | Fractions/Ratios/Decimals hide tags

Bunuel

05 Aug 2022, 01:30

4

3

1,151

by: unraveled

08 Aug 2022, 09:46

ER

If f(x) = x^4 - 3x^3- 2x^2 + 5x , then f(-1) =

Sub 505 Level | Algebra, Functions and Custom Characters

Sub 505 Level | Algebra, Functions and Custom Characters hide tags

Bunuel

19 Mar 2015, 06:15

4

5

7,073

by: BrushMyQuant

08 Aug 2022, 09:44

ER

If n # z = n^2 - n^z - 2(z-2)^n for integers n and z,

Sub 505 Level | Algebra +2 tags

Sub 505 Level | Algebra, Exponents, Functions and Custom Characters hide tags

Bunuel

17 Mar 2016, 03:57

1

4

3,132

by: BrushMyQuant

08 Aug 2022, 09:41

ER

For all numbers a and b, if the operation $ is defined

Sub 505 Level | Functions and Custom Characters

Sub 505 Level | Functions and Custom Characters hide tags

Bunuel

21 Jan 2019, 03:33

4

2,108

by: BrushMyQuant

08 Aug 2022, 09:38

ER

If the operation ∆ is defined by a∆b = (b-a)^2/a^2

Sub 505 Level | Algebra, Functions and Custom Characters

Sub 505 Level | Algebra, Functions and Custom Characters hide tags

Bunuel

14 Feb 2020, 05:01

4

4,083

by: BrushMyQuant

08 Aug 2022, 09:30

ER

If the operation ∆ is defined by a ∆ b = (b -

555-605 Level | Functions and Custom Characters

555-605 Level | Functions and Custom Characters hide tags

Bunuel

03 Jan 2016, 12:55

5

4

3,162

by: BrushMyQuant

08 Aug 2022, 09:29

ER

An operation ~ is defined by a ~ b = (a + b)/(ab)^2

Sub 505 Level | Functions and Custom Characters

Sub 505 Level | Functions and Custom Characters hide tags

Bunuel

07 Sep 2021, 04:08

1

2

1,763

by: BrushMyQuant

08 Aug 2022, 09:24

ER

For all numbers a and b, the operation && is

Sub 505 Level | Functions and Custom Characters

Sub 505 Level | Functions and Custom Characters hide tags

Bunuel

24 Sep 2015, 22:52

3

2,666

by: BrushMyQuant

08 Aug 2022, 09:21

ER

Q' = 3Q - 3, what is the value of (2')' ?

Sub 505 Level | Algebra, Functions and Custom Characters

Sub 505 Level | Algebra, Functions and Custom Characters hide tags

Bunuel

15 Apr 2015, 04:10

2

10

4,128

by: BrushMyQuant

08 Aug 2022, 09:15

ER

A company offers an allowance of $500 per day to its

605-655 Level | Word Problems

605-655 Level | Word Problems hide tags

Bunuel

08 Aug 2022, 01:30

1

795

by: ThatDudeKnows

08 Aug 2022, 08:36

ER

If x ≠ 0, , let ♠ x be defined by the equation

Sub 505 Level | Functions and Custom Characters

Sub 505 Level | Functions and Custom Characters hide tags

Bunuel

07 Feb 2022, 08:15

4

1,186

by: BrushMyQuant

08 Aug 2022, 01:09

ER

Define x∇y by the equation x∇y = xy − y. Then

Sub 505 Level | Functions and Custom Characters

Sub 505 Level | Functions and Custom Characters hide tags

Bunuel

19 May 2019, 21:00

4

1,420

by: BrushMyQuant

08 Aug 2022, 01:05

ER

[n] = (1/n)^n for all integers n > 0. What is the

Sub 505 Level | Functions and Custom Characters

Sub 505 Level | Functions and Custom Characters hide tags

Bunuel

22 Jul 2019, 01:30

3

1,180

by: BrushMyQuant

08 Aug 2022, 01:01

ER

For all positive numbers x, Δx is defined as the cube

505-555 Level | Exponents, Roots

505-555 Level | Exponents, Roots hide tags

Bunuel

11 Feb 2022, 04:15

2

3,555

by: BrushMyQuant

08 Aug 2022, 00:47

ER

a*b = ab/(a + b) for all a, b that satisfy a ≠ -b.

Sub 505 Level | Functions and Custom Characters

Sub 505 Level | Functions and Custom Characters hide tags

Bunuel

22 Jul 2019, 01:32

3

1,353

by: BrushMyQuant

08 Aug 2022, 00:27

ER

If ♣ m = 3m and •n = n + 7, which of the following

Sub 505 Level | Functions and Custom Characters

Sub 505 Level | Functions and Custom Characters hide tags

Bunuel

16 Feb 2022, 08:45

2

1,167

by: BrushMyQuant

08 Aug 2022, 00:11

ER

If the operation € is defined for all x and y by the

Sub 505 Level | Functions and Custom Characters

Sub 505 Level | Functions and Custom Characters hide tags

Bunuel

20 Apr 2015, 07:34

5

6,343

by: BrushMyQuant

08 Aug 2022, 00:04

ER

The operation denoted by the symbol ♦ is defined for

Sub 505 Level | Functions and Custom Characters

Sub 505 Level | Functions and Custom Characters hide tags

Bunuel

09 Jan 2019, 00:34

1

3

1,635

by: BrushMyQuant

07 Aug 2022, 23:46

ER

The operation denoted by the symbol £ is defined for

Sub 505 Level | Functions and Custom Characters

Sub 505 Level | Functions and Custom Characters hide tags

Bunuel

05 Jul 2018, 04:55

1

5

2,368

by: BrushMyQuant

07 Aug 2022, 23:38

ER

For all real numbers a and b, the operation ⊕ is

Sub 505 Level | Functions and Custom Characters

Sub 505 Level | Functions and Custom Characters hide tags

Bunuel

10 Dec 2018, 00:55

1

5

2,186

by: BrushMyQuant

07 Aug 2022, 23:23

ER

The points A(0, 0), B(0, 4a – 5) and C(2a + 1, 2a +

655-705 Level | Coordinate Geometry, Geometry

655-705 Level | Coordinate Geometry, Geometry hide tags

Bunuel

28 Jul 2017, 09:01

23

5

4,277

by: bumpbot

07 Aug 2022, 13:21

ER

For all numbers x and y, the operation ? is defined by

505-555 Level | Functions and Custom Characters

505-555 Level | Functions and Custom Characters hide tags

Bunuel

11 Feb 2022, 06:15

3

2,552

by: BrushMyQuant

07 Aug 2022, 11:51

ER

If f(x) = ax^4 - 5x^2 + ax - 5, then f(b) - f(-b) will

505-555 Level | Functions and Custom Characters

505-555 Level | Functions and Custom Characters hide tags

Bunuel

02 Jun 2022, 02:30

2

819

by: BrushMyQuant

07 Aug 2022, 11:04

ER

If f(x) = ax^4 – 4x^2 + ax – 3, then f(b) –

555-605 Level | Algebra, Functions and Custom Characters

555-605 Level | Algebra, Functions and Custom Characters hide tags

Bunuel

05 Nov 2014, 08:38

17

9

8,776

by: BrushMyQuant

07 Aug 2022, 10:51

ER

A certain science class has a total of 35 students. If

Sub 505 Level | Fractions/Ratios/Decimals

Sub 505 Level | Fractions/Ratios/Decimals hide tags

Bunuel

22 Oct 2019, 03:13

2

3

3,201

by: bumpbot

07 Aug 2022, 08:22

ER

If $600,000 is invested at 12% annual interest

605-655 Level | Percent and Interest Problems

605-655 Level | Percent and Interest Problems hide tags

Bunuel

01 Jan 2018, 01:36

6

3

2,400

by: bumpbot

07 Aug 2022, 03:49

ER

Let a, b, c and d be the result of rounding off

655-705 Level | Number Properties

655-705 Level | Number Properties hide tags

Bunuel

10 Nov 2020, 05:30

9

7

3,651

by: bumpbot

07 Aug 2022, 03:46

ER

The "competitive edge" of a baseball team is

505-555 Level | Algebra, Word Problems

505-555 Level | Algebra, Word Problems hide tags

Bunuel

03 Jul 2015, 03:09

21

12

6,651

by: bumpbot

07 Aug 2022, 00:03

ER

Mr. Johnson grosses $2,000 per month from his

505-555 Level | Word Problems

505-555 Level | Word Problems hide tags

Bunuel

06 Feb 2018, 03:08

1

3

2,657

by: bumpbot

06 Aug 2022, 15:41

ER

The average (arithmetic mean) of 11 numbers is 10.

Sub 505 Level | Statistics and Sets Problems

Sub 505 Level | Statistics and Sets Problems hide tags

Bunuel

11 Mar 2020, 04:15

1

5

5,307

by: AnirudhaS

06 Aug 2022, 12:32

ER

Two cards are drawn successively from a deck of 52

705-805 Level | Probability

705-805 Level | Probability hide tags

Bunuel

01 Jan 2021, 14:39

13

3

4,841

by: bumpbot

06 Aug 2022, 12:01

ER

Three men start together to travel the same way around

655-705 Level | Distance Problems

655-705 Level | Distance Problems hide tags

Bunuel

05 Aug 2021, 04:00

9

3

4,737

by: bumpbot

06 Aug 2022, 10:23

ER

In a rectangle with area 572, the length of the

505-555 Level | Geometry

505-555 Level | Geometry hide tags

Bunuel

06 Jun 2017, 11:38

5

7

3,817

by: MonishBhawale

06 Aug 2022, 09:00

ER

If x and y are integers, then x(x + 1)(x +

555-605 Level | Number Properties

555-605 Level | Number Properties hide tags

Bunuel

10 May 2018, 01:43

11

6

3,318

by: bumpbot

06 Aug 2022, 08:27

ER

Which of the following is the equation of a straight

505-555 Level | Coordinate Geometry

505-555 Level | Coordinate Geometry hide tags

Bunuel

16 Dec 2020, 03:30

4

2

1,956

by: bumpbot

06 Aug 2022, 07:11

ER

For the sequence a1, a2, a3. ..an, an is defined by

555-605 Level | Sequences

555-605 Level | Sequences hide tags

Bunuel

24 Nov 2016, 03:01

19

5

4,234

by: Adigmat123

06 Aug 2022, 04:28

Problem Solving (PS)