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

321

12

151,811

by: ekfdskfe

13 Jul 2025, 19:03

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100 Hardest and easiest questions for PS as of March 2026

Bunuel

01 Jan 2026, 05:45

1.1k

8

312,304

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

1,383,526

by: bb

16 Apr 2026, 14:28

ER

How many common terms are in the two sequences {17, 21, 25, … , 417} a

655-705 (Hard) | Sequences

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Bunuel

07 May 2020, 10:22

16

5

4,557

by: bumpbot

12 Feb 2025, 06:42

ER

For every integer m from 1 to 100, inclusive, the mth term

655-705 (Hard) | Sequences

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enigma123

04 Mar 2012, 16:18

45

12

11,465

by: bumpbot

12 Feb 2025, 06:27

ER

The first term of a sequence is 2005. Each succeeding term is the sum

705-805 (Hard) | Sequences

705-805 (Hard) | Sequences hide tags

Bunuel

24 Mar 2019, 23:13

2

5

8,716

by: bumpbot

12 Feb 2025, 06:07

ER

For any given x and any positive integer n, the nth term in sequence S

655-705 (Hard) | Sequences

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Bunuel

14 Sep 2015, 05:06

48

9

9,676

by: bumpbot

12 Feb 2025, 04:53

ER

If you end at Step6, how many Step2 are passed through?

705-805 (Hard) | Sequences

705-805 (Hard) | Sequences hide tags

MathRevolution

21 Apr 2016, 01:29

5

3

3,405

by: bumpbot

12 Feb 2025, 03:14

ER

In a certain sequence, the term

555-605 (Medium) | Sequences

555-605 (Medium) | Sequences hide tags

BrentGMATPrepNow

26 Jan 2017, 12:28

49

10

8,024

by: muhammaddk92

11 Feb 2025, 13:07

ER

Find the value of the expression 9^1/3

655-705 (Hard) | Exponents, Sequences

655-705 (Hard) | Exponents, Sequences hide tags

ProfChaos

26 Nov 2020, 11:52

24

3

3,060

by: bumpbot

09 Feb 2025, 14:53

ER

The second, the first and the third term of an AP whose comm

705-805 (Hard) | Sequences

705-805 (Hard) | Sequences hide tags

Anasthaesium

12 Jul 2013, 13:01

56

17

9,199

by: bumpbot

09 Feb 2025, 08:52

ER

In an increasing sequence, the difference between any two successive

805+ (Hard) | Sequences

805+ (Hard) | Sequences hide tags

disenapati

31 Dec 2018, 00:32

34

6

5,104

by: ManifestDreamMBA

08 Feb 2025, 06:30

ER

A sequence of numbers is defined recursively by a_1 = 1, a_2 = 3/7 and

805+ (Hard) | Sequences

805+ (Hard) | Sequences hide tags

Bunuel

14 May 2019, 23:38

31

3

6,717

by: bumpbot

08 Feb 2025, 02:46

ER

Find the value of N which satisfies the equation

605-655 (Medium) | Sequences

605-655 (Medium) | Sequences hide tags

gmatcafe

10 Feb 2022, 09:40

10

4

2,936

by: bumpbot

04 Feb 2025, 07:08

ER

Given S = 1/96 + 1/97 + 1/98 + 1/99 + 1/100 + 1/101 + 1/102 + 1/103 +

Sub 505 (Easy) | Arithmetic, Sequences

Sub 505 (Easy) | Arithmetic, Sequences hide tags

Bunuel

04 Nov 2021, 05:15

13

3

4,026

by: richardng123

31 Jan 2025, 23:01

ER

In a certain sequence, S_n represents the sum of all terms from

555-605 (Medium) | Sequences

555-605 (Medium) | Sequences hide tags

BrentGMATPrepNow

05 Mar 2022, 09:57

25

3

3,268

by: hereiam2410

29 Jan 2025, 04:08

ER

a, b, c, d, and e are five consecutive numbers in increasing order

Sub 505 (Easy) | Sequences, Statistics and Sets Problems

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

BrainLab

06 Feb 2016, 13:35

34

8

20,340

by: bumpbot

28 Jan 2025, 07:49

ER

Let S denote the sum of the squares of ten consecutive positive

805+ (Hard) | Exponents +3 tags

805+ (Hard) | Exponents, Multiples and Factors, Sequences, Word Problems hide tags

CaptainLevi

25 Nov 2019, 03:54

24

3

4,490

by: bumpbot

25 Jan 2025, 01:46

ER

1/(a+b), 1/(b+5) and 1/(a+5) are three terms of an arithmetic

805+ (Hard) | Sequences

805+ (Hard) | Sequences hide tags

twobagels

19 Feb 2021, 12:09

20

4

2,786

by: nishantswaft

24 Jan 2025, 10:31

ER

If the sum of 5 consecutive positive multiples of a prime number is 10

805+ (Hard) | Algebra +2 tags

805+ (Hard) | Algebra, Number Properties, Sequences hide tags

niteshwaghray

01 Jun 2017, 13:28

35

9

7,005

by: GMATGuruNY

22 Jan 2025, 10:32

ER

If M, N are integers greater than 1 such that 2M<N, which of the foll

805+ (Hard) | Algebra +3 tags

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

fskilnik

18 Feb 2019, 09:10

15

6

2,907

by: bumpbot

21 Jan 2025, 05:42

ER

In the sequence defined by Sn = Sn – 1 + x, S1 = 3 and S5 is equal to

555-605 (Medium) | Sequences

555-605 (Medium) | Sequences hide tags

Bunuel

08 May 2019, 00:45

13

4

3,673

by: bumpbot

19 Jan 2025, 11:56

ER

In a sequence of positive integers, every odd-numbered term after the

605-655 (Medium) | Sequences

605-655 (Medium) | Sequences hide tags

Bunuel

17 Jan 2025, 01:30

4

3

1,978

by: overclockedboi

18 Jan 2025, 19:54

A sequence Z_n = 2n - 1 for a positive integer n. Let Sn be the sum of

555-605 (Medium) | Sequences

555-605 (Medium) | Sequences hide tags

NithinRaja

23 Nov 2023, 07:15

23

4

2,523

by: Krunaal

17 Jan 2025, 08:02

ER

P is the product, indicated above, of all the numbers of the form

Sub 505 (Easy) | Sequences

Sub 505 (Easy) | Sequences hide tags

Sallyzodiac

06 May 2016, 08:14

130

10

29,816

by: bumpbot

12 Jan 2025, 02:13

ER

the 288th term of the series a, b , b, c, c, c, d, d, d, d,....

655-705 (Hard) | Sequences

655-705 (Hard) | Sequences hide tags

ynaikavde

03 Mar 2015, 15:43

55

6

46,018

by: bumpbot

10 Jan 2025, 15:50

ER

A sequence t1, t2, t3, . . . tn is such that t2 = 5 and tn+1 = 2tn − 1

555-605 (Medium) | Sequences

555-605 (Medium) | Sequences hide tags

Bunuel

06 Apr 2021, 07:15

5

3

5,211

by: Bunuel

08 Jan 2025, 00:07

ER

In an arithmetic progression 3rd term is 28 and the sum of the first

655-705 (Hard) | Sequences

655-705 (Hard) | Sequences hide tags

Bunuel

10 Nov 2023, 02:30

14

2

2,141

by: bumpbot

07 Jan 2025, 07:41

ER

A sequence is defined by an+2 = an+1 an for n 1. If a1 = 3 and a2

655-705 (Hard) | Sequences

655-705 (Hard) | Sequences hide tags

Bunuel

01 Nov 2023, 00:59

9

5

5,179

by: bumpbot

06 Jan 2025, 02:15

ER

In a sequence b_1, b_2, b_3, . . . in which b_1 is the first term, b_1

705-805 (Hard) | Sequences

705-805 (Hard) | Sequences hide tags

Russ19

21 May 2021, 07:58

7

4

3,422

by: bumpbot

05 Jan 2025, 14:28

ER

Bn = (−1)^n × n + 3 for all integers n ≥ 1. What is the 9th term of

Sub 505 (Easy) | Exponents, Sequences

Sub 505 (Easy) | Exponents, Sequences hide tags

Bunuel

31 Mar 2021, 07:30

3

2,569

by: BrushMyQuant

31 Dec 2024, 02:06

ER

If An = 7^n − 1, what is the units digit of A33?

Sub 505 (Easy) | Exponents +2 tags

Sub 505 (Easy) | Exponents, Number Properties, Sequences hide tags

Bunuel

31 Mar 2021, 08:30

7

4

6,139

by: BrushMyQuant

31 Dec 2024, 02:03

ER

If each number of a sequence is 4 more than the previous number, and

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Sub 505 (Easy) | Sequences hide tags

Bunuel

31 Mar 2021, 02:30

5

4

2,385

by: BrushMyQuant

31 Dec 2024, 01:55

ER

If An = 2A(n−1) + 3 for all n ≥ 1, and A4 = 45, what is A1 ?

Sub 505 (Easy) | Sequences

Sub 505 (Easy) | Sequences hide tags

Bunuel

31 Mar 2021, 08:00

2

1,417

by: BrushMyQuant

31 Dec 2024, 01:03

ER

Consider a sequence a_1, a_2, a_3, a_4, ..., a_{n-2}, a_{n-1

655-705 (Hard) | Sequences

655-705 (Hard) | Sequences hide tags

Bunuel

09 Feb 2023, 12:00

14

3

3,138

by: hr1212

30 Dec 2024, 08:28

ER

If a and b are constants, then f2, as defined above, equals

Sub 505 (Easy) | Sequences

Sub 505 (Easy) | Sequences hide tags

guddo

24 Jan 2024, 09:29

11

2

4,280

by: BrushMyQuant

28 Dec 2024, 19:41

ER

Express the value 0.4232323….. as a quotient of two numbers

705-805 (Hard) | Arithmetic, Sequences

705-805 (Hard) | Arithmetic, Sequences hide tags

4d

02 Feb 2019, 21:31

48

4

6,629

by: Regor60

23 Dec 2024, 10:56

ER

In a certain sequence of numbers, a1, a2, a3, ..., an, the average (ar

655-705 (Hard) | Sequences

655-705 (Hard) | Sequences hide tags

Bunuel

03 Apr 2021, 07:00

6

3,849

by: bumpbot

23 Dec 2024, 04:47

ER

The sum of five consecutive even numbers of sequence A is 220. What is

655-705 (Hard) | Algebra, Sequences

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

Bunuel

04 Jul 2022, 11:45

7

3

2,739

by: BrushMyQuant

20 Dec 2024, 05:28

ER

Each number SN in a sequence can be expressed as a function of the pre

655-705 (Hard) | Sequences

655-705 (Hard) | Sequences hide tags

Bunuel

09 Jul 2018, 05:57

15

3

6,898

by: bumpbot

19 Dec 2024, 02:33

ER

In a certain sequence a1, a2, ...an..., for n>1, each term is the sum

705-805 (Hard) | Sequences

705-805 (Hard) | Sequences hide tags

Bunuel

28 Oct 2021, 07:30

11

2

2,985

by: bumpbot

15 Dec 2024, 15:00

ER

Here are the first 10 terms of a sequence in which each positive integ

655-705 (Hard) | Sequences

655-705 (Hard) | Sequences hide tags

Bunuel

11 Jan 2022, 10:00

7

3

2,030

by: BrushMyQuant

08 Dec 2024, 06:00

ER

There are a lot of houses such that the numbers of their doorplates ar

Sub 505 (Easy) | Sequences

Sub 505 (Easy) | Sequences hide tags

MathRevolution

22 May 2016, 17:49

6

3

2,817

by: bumpbot

04 Dec 2024, 04:54

ER

In a certain sequence, the first term is 2, and each successive term

Sub 505 (Easy) | Sequences

Sub 505 (Easy) | Sequences hide tags

Bunuel

02 Dec 2014, 09:08

7

6

6,282

by: bumpbot

25 Nov 2024, 20:37

ER

If the fourth term of a geometric progression is 5 and the seventh ter

655-705 (Hard) | Sequences

655-705 (Hard) | Sequences hide tags

Bunuel

25 Dec 2020, 09:30

11

3

2,574

by: bumpbot

20 Nov 2024, 09:36

ER

The sequence of the 50 numbers a_1, a_2 , ..., a_50 is defined as foll

655-705 (Hard) | Sequences

655-705 (Hard) | Sequences hide tags

Bunuel

07 Mar 2023, 10:23

8

4

2,951

by: bumpbot

19 Nov 2024, 23:23

ER

The interior angles of a convex polygon are in arithmetic progression

655-705 (Hard) | Geometry, Sequences

655-705 (Hard) | Geometry, Sequences hide tags

sherxon

11 Jun 2021, 08:36

7

3

3,014

by: bumpbot

19 Nov 2024, 10:18

ER

(1^2+2^2+3^3+…+20^2) / (1+2+3+ …+20)=?

655-705 (Hard) | Sequences

655-705 (Hard) | Sequences hide tags

MathRevolution

16 Sep 2018, 13:01

19

10

4,954

by: QuantMadeEasy

19 Nov 2024, 00:24

ER

There is a sequence An for a positive integer n such that when An is d

555-605 (Medium) | Sequences

555-605 (Medium) | Sequences hide tags

haardiksharma

04 Jul 2017, 02:50

24

5

5,269

by: bumpbot

17 Nov 2024, 01:24

ER

In a sequence of numbers t1, t2, t3, ... the difference of any two suc

555-605 (Medium) | Sequences

555-605 (Medium) | Sequences hide tags

Bunuel

15 May 2020, 09:16

36

6

5,804

by: bumpbot

17 Nov 2024, 00:57

ER

There is a sequence An, such that A1=1，A2=2, and An+2=An+1+An+An-1+….+

655-705 (Hard) | Sequences

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MathRevolution

26 Jul 2017, 01:14

34

7

6,546

by: bumpbot

16 Nov 2024, 04:36

ER

If the square of the 7th term of an arithmetic progression with positi

555-605 (Medium) | Sequences

555-605 (Medium) | Sequences hide tags

Bunuel

13 May 2020, 02:22

18

6

5,222

by: bumpbot

16 Nov 2024, 03:32

ER

nth term of an AP, consisting of only positive integers, is denoted by

655-705 (Hard) | Sequences

655-705 (Hard) | Sequences hide tags

Bunuel

22 Nov 2021, 07:45

17

3

2,516

by: bumpbot

14 Nov 2024, 12:09