DS Retired Questions

02 Sep 2026, 05:42

The values of x and y vary with the value of z

705-805 (Hard) | Inequalities

705-805 (Hard) | Inequalities hide tags

NoHalfMeasures

19 Dec 2015, 15:22

130

10

15,178

01 Sep 2026, 23:16

If x ≠ 0, is |x| < 1 ? (1) x^2 < 1 (2) |x| < 1/x

605-655 (Medium) | Absolute Values, Inequalities

605-655 (Medium) | Absolute Values, Inequalities hide tags

1, 2

boomtangboy

09 Jun 2019, 22:05

481

31

54,885

01 Sep 2026, 12:02

Is k greater than 3?

605-655 (Medium) | Inequalities

605-655 (Medium) | Inequalities hide tags

tonebeeze

08 Oct 2010, 18:55

54

11

11,937

01 Sep 2026, 03:39

What is the value of xy?

805+ (Hard) | Exponents, Number Properties

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

swati007

06 Mar 2014, 00:03

50

11

10,500

31 Aug 2026, 14:00

If 6xy = x^2y + 9y, what is the value of xy?

655-705 (Hard) | Algebra

655-705 (Hard) | Algebra hide tags

MisterEko

16 Jul 2015, 01:55

95

16

28,310

31 Aug 2026, 10:52

If a and b are nonzero numbers on the number line, is 0 between a and

505-555 (Easy) | Inequalities

505-555 (Easy) | Inequalities hide tags

Bunuel

21 Oct 2019, 06:45

33

8

10,140

31 Aug 2026, 06:05

If n is a positive integer greater than 1, what is the smallest positi

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

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

AbhiJ

27 Aug 2026, 10:34

32

9

10,417

by: KarishmaB

30 Aug 2026, 06:34

Is |x - y| > |x| - |y|? (1) y < x (2) xy < 0

655-705 (Hard) | Absolute Values, Inequalities

655-705 (Hard) | Absolute Values, Inequalities hide tags

1, 2, 3

study

20 Jul 2021, 00:43

1.5k

50

221,082

28 Aug 2026, 15:09

City Z plans to reduce downtown traffic congestion by charging a $5 to

505-555 (Easy) | Non-Math Related, Poor Quality

505-555 (Easy) | Non-Math Related, Poor Quality hide tags

kb26

25 Aug 2026, 21:31

1

0

166

by: kb26

25 Aug 2026, 21:31

Last year 3/5 of the members of a certain club were males. This year

805+ (Hard) | Fractions and Ratios

805+ (Hard) | Fractions and Ratios hide tags

1, 2

Carcass

27 Jul 2017, 08:17

581

24

50,093

by: chetan2u

24 Aug 2026, 05:45

If a positive decimal d has 7 nonzero digits, is d > 100 ?

555-605 (Medium) | Number Properties

555-605 (Medium) | Number Properties hide tags

Bunuel

15 Sep 2020, 07:15

12

3

4,514

23 Aug 2026, 23:34

Is 10 – 6x < 0 ?

655-705 (Hard) | Inequalities

655-705 (Hard) | Inequalities hide tags

nidhi12

04 Jun 2014, 07:53

7

16

5,570

by: dhart

21 Aug 2026, 23:17

In the figure above, lines l1 and l2 are parallel. What is the value

Sub 505 (Easy) | Geometry

Sub 505 (Easy) | Geometry hide tags

Bunuel

19 Oct 2019, 03:38

1

5

11,674

21 Aug 2026, 10:49

What is the value of q ? (1) q = 9^(1/2) (2) |q| = 3

505-555 (Easy) | Absolute Values +2 tags

505-555 (Easy) | Absolute Values, Number Properties, Roots hide tags

Bunuel

15 Nov 2018, 05:34

33

7

6,870

20 Aug 2026, 09:59

If the prime numbers p and t are the only prime factors of

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

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

1, 2

phoenixgmat

20 Aug 2026, 10:27

191

21

30,783

20 Aug 2026, 03:10

If m and n are positive integers, is the remainder of (10^m + n)/3

805+ (Hard) | Remainders

805+ (Hard) | Remainders hide tags

zisis

24 Sep 2010, 15:11

414

19

42,313

20 Aug 2026, 00:24

If K is an integer and 2 < K < 8, what is the value of K ?

555-605 (Medium) | Multiples and Factors

555-605 (Medium) | Multiples and Factors hide tags

blog

31 Jan 2008, 19:32

93

13

44,653

19 Aug 2026, 23:07

If k is a positive integer, is k the square of an integer?

605-655 (Medium) | Multiples and Factors, Number Properties

605-655 (Medium) | Multiples and Factors, Number Properties hide tags

tarek99

25 Dec 2021, 09:11

193

15

40,712

by: architkap

18 Aug 2026, 04:04

If X is a positive integer, is X a perfect square?

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

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

StringArgs

02 Jul 2022, 23:26

15

5

4,923

17 Aug 2026, 10:14

In the figure shown, the measure of angle PRS is how many degrees grea

655-705 (Hard) | Geometry

655-705 (Hard) | Geometry hide tags

Sylvan

27 Nov 2018, 01:55

424

19

97,572

13 Aug 2026, 10:26

If y and z are integers, is y*(z + 1) odd? (1) y is odd (2)

Sub 505 (Easy) | Number Properties

Sub 505 (Easy) | Number Properties hide tags

anticipation

06 Sep 2010, 07:39

22

12

19,830

by: avoluptatum

11 Aug 2026, 18:44

If x, y, and z are distinct positive integers, is x(y – z) less than y

555-605 (Medium) | Algebra, Inequalities

555-605 (Medium) | Algebra, Inequalities hide tags

AbdurRakib

22 Jul 2016, 13:06

14

5

5,619

by: Renchinjav

11 Aug 2026, 03:07

If ab bc^2 < 0, is a < 0?

605-655 (Medium) | Inequalities

605-655 (Medium) | Inequalities hide tags

goodyear2013

01 Oct 2025, 07:25

20

5

7,253

11 Aug 2026, 02:36

What fraction of this year's graduating students at a certain college

605-655 (Medium) | Fractions and Ratios

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

1, 2

sunland

17 Jun 2019, 05:54

213

22

39,479

10 Aug 2026, 13:24

In triangle ABC above, what is the length of side BC?

655-705 (Hard) | Geometry

655-705 (Hard) | Geometry hide tags

1, 2

Bunuel

04 Mar 2014, 00:20

154

20

45,399

10 Aug 2026, 03:35

In isosceles triangle RST what is the measure of angle R?

505-555 (Easy) | Geometry

505-555 (Easy) | Geometry hide tags

gmatgg

08 Mar 2010, 22:46

216

16

106,761

10 Aug 2026, 02:42

Does x have at least 3 prime factors? (1) x = 5b, where b is a positiv

555-605 (Medium) | Number Properties

555-605 (Medium) | Number Properties hide tags

Bunuel

05 Mar 2019, 05:21

2

6

1,907

by: Rishm

06 Aug 2026, 10:58

If x and y are nonzero integers, is x^y < y^x ?

605-655 (Medium) | Algebra +2 tags

605-655 (Medium) | Algebra, Exponents, Inequalities hide tags

Bunuel

27 Oct 2005, 16:28

241

11

35,382

by: Usernamevisible

06 Aug 2026, 10:47

If x and y are positive integers, what is the remainder when

555-605 (Medium) | Exponents, Remainders

555-605 (Medium) | Exponents, Remainders hide tags

banksy

18 Feb 2011, 12:00

103

5

23,074

by: CelestialBro

05 Aug 2026, 13:14

If m is a positive integer, then m^3 has how many digits?

705-805 (Hard) | Fractions and Ratios

705-805 (Hard) | Fractions and Ratios hide tags

Bunuel

26 Apr 2020, 10:10

408

13

49,120

29 Jul 2026, 10:50

Are x and y both positive? (1) 2x - 2y = 1 (2) x/y > 1

655-705 (Hard) | Inequalities

655-705 (Hard) | Inequalities hide tags

1, 2, 3, 4

Manbehindthecurtain

05 Apr 2018, 13:19

1.1k

65

195,565

by: Anshul123anshul

29 Jul 2026, 07:30

How many digits does integer x have?

655-705 (Hard) | Fractions and Ratios, Number Properties

655-705 (Hard) | Fractions and Ratios, Number Properties hide tags

Bunuel

13 Dec 2016, 11:10

7

3

4,217

25 Jul 2026, 05:41

Given that x is a positive integer, what is the greatest common diviso

705-805 (Hard) | Multiples and Factors, Number Properties

705-805 (Hard) | Multiples and Factors, Number Properties hide tags

Bunuel

07 Jul 2015, 02:28

62

11

9,618

21 Jul 2026, 02:53

Is 1 + x + x^2 + x^3 + x^4 + x^5 < 1/(1 - x) ? (1) x > 0 (2) x < 1

705-805 (Hard) | Inequalities

705-805 (Hard) | Inequalities hide tags

Bunuel

04 May 2021, 06:10

21

6

5,769

by: Stormik1

20 Jul 2026, 22:53

p and q are integers. If p is divisible by 10^q and cannot

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

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

banksy

29 Oct 2013, 06:22

304

15

30,026

19 Jul 2026, 07:56

If 3x + 5 < x + 11, is x prime?

805+ (Hard) | Number Properties

805+ (Hard) | Number Properties hide tags

1, 2

monir6000

20 Jan 2013, 05:30

102

21

20,221

09 Jul 2026, 04:56

If x is not equal to 0, is |x| less than 1? (1) x/|x|< x (2) |x| > x

805+ (Hard) | Absolute Values, Inequalities

805+ (Hard) | Absolute Values, Inequalities hide tags

1, 2, 3

Hussain15

01 Nov 2009, 09:25

534

50

148,343

06 Jul 2026, 09:34

Is x a multiple of 12?

705-805 (Hard) | Multiples and Factors

705-805 (Hard) | Multiples and Factors hide tags

dreambeliever

01 Oct 2017, 05:01

44

12

10,409

05 Jul 2026, 11:25

At the end of Monday, a bookstore display had only hardcover books and

805+ (Hard) | Fractions and Ratios

805+ (Hard) | Fractions and Ratios hide tags

Bunuel

01 Jul 2026, 19:00

5

3

449

05 Jul 2026, 07:00

A certain local newspaper has 80 employees. Of the employees 3/5 are

805+ (Hard) | Algebra

805+ (Hard) | Algebra hide tags

Joc456

27 Sep 2016, 14:02

10

5

3,717

30 Jun 2026, 10:40

If p, s, and t are positive integer, is |ps - pt| > p(s - t) ?

505-555 (Easy) | Absolute Values

505-555 (Easy) | Absolute Values hide tags

AJ1012

18 Dec 2015, 13:11

378

19

42,913

29 Jun 2026, 06:43

If the positive integer n is added to each of the integers 69, 94, and

555-605 (Medium) | Number Properties

555-605 (Medium) | Number Properties hide tags

Bunuel

16 Jun 2016, 05:41

762

18

63,215

26 Jun 2026, 08:58

What is the value of x? (x^2 + 3)^2 - 11(x^2 + 3) + 28 = 0

605-655 (Medium) | Algebra

605-655 (Medium) | Algebra hide tags

mikemcgarry

11 Sep 2014, 13:57

15

7

5,807

by: rashminuligonda

24 Jun 2026, 02:32

If the price of potatoes is $0.2 per pound, what is the maximum number

505-555 (Easy) | Arithmetic

505-555 (Easy) | Arithmetic hide tags

adkikani

28 Apr 2023, 00:13

37

7

9,340

by: nammolestias

21 Jun 2026, 03:34

In a certain office, the ratio of employees who are accountants to

555-605 (Medium) | Fractions and Ratios, Poor Quality

555-605 (Medium) | Fractions and Ratios, Poor Quality hide tags

dotsoftme

20 Jun 2026, 11:32

1

277

20 Jun 2026, 11:47

If n and x are positive integers, what is the least common multiple of

605-655 (Medium) | Exponents +2 tags

605-655 (Medium) | Exponents, Multiples and Factors, Number Properties hide tags

Bunuel

28 Apr 2016, 03:33

15

4

4,392

18 Jun 2026, 09:03

If u > 0 and v > 0, which is greater, u^v or v^u?

Sub 505 (Easy) | Inequalities

Sub 505 (Easy) | Inequalities hide tags

Bunuel

16 Jun 2016, 03:17

77

12

31,293

06 Jun 2026, 06:54

In the figure above, is the area of triangular region ABC

655-705 (Hard) | Geometry

655-705 (Hard) | Geometry hide tags

1, 2

jfk

10 Jun 2012, 00:28

795

24

114,654