GMAT Data Sufficiency (DS) Forum - Free Practice Questions

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Complete 1000 GMAT Data Sufficiency Series (DS-1000 Series) Questions

Bunuel

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181

15

81,073

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100 Hardest and easiest questions for DS as of April 2026

1, 2

Bunuel

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860

24

189,681

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DS Question Directory by Topic and Difficulty

bb

29 Aug 2025, 13:27

1.5k

0

489,486

by: bb

29 Aug 2025, 13:27

ER

What is the value of x ? (1) x^2 = 19 (2) 19^2 = x

555-605 (Medium) | Algebra, Roots

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

Bunuel

17 Oct 2023, 01:30

3

1

1,128

by: DanTheGMATMan

19 Oct 2023, 22:12

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If n is a positive integer, and (45*14*7^n - 15*7^(n - 1)*54)^(1/2) is

805+ (Hard) | Exponents +3 tags

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

Bunuel

17 Mar 2020, 05:38

23

7

5,312

by: bumpbot

08 Oct 2023, 00:15

ER

If x and y are positive, is x^(1/2) + y^(1/2) > 1?

805+ (Hard) | Inequalities, Roots

805+ (Hard) | Inequalities, Roots hide tags

Bunuel

12 May 2017, 04:53

56

9

6,201

by: KarishmaB

07 Oct 2023, 01:12

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If n is a positive integer, and (45*14*7^n - 15*7^(n - 1)*54)^(1/2) is

805+ (Hard) | Exponents +3 tags

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

Bunuel

17 Mar 2020, 04:51

15

6

4,178

by: bumpbot

01 Sep 2023, 05:24

ER

In the second-degree equation x^2-14x+m = 0, the constant m is a posit

705-805 (Hard) | Algebra +2 tags

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

fskilnik

18 Feb 2019, 06:54

8

6,491

by: bumpbot

26 Jul 2023, 03:11

ER

If (H^2 - H) = T(1 - R^2)^(1/2)/(k(1 - g^k)^(1/2)), then 3H =

705-805 (Hard) | Algebra, Roots

705-805 (Hard) | Algebra, Roots hide tags

Bunuel

06 Sep 2019, 10:55

9

3

2,455

by: bumpbot

26 Jul 2023, 02:49

ER

Are both x and y positive?

605-655 (Medium) | Algebra, Roots

605-655 (Medium) | Algebra, Roots hide tags

innocous

09 Oct 2013, 23:36

37

17

7,305

by: bumpbot

25 Jul 2023, 03:14

ER

Is x^3 > y ? (1) x^(1/3) > y (2) x^2 > y

655-705 (Hard) | Exponents +2 tags

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Bunuel

21 Mar 2022, 05:23

10

5

3,082

by: bumpbot

25 Jul 2023, 03:03

ER

For positive integers a and b, is (a^b)^(1/4) an integer?

555-605 (Medium) | Number Properties, Roots

555-605 (Medium) | Number Properties, Roots hide tags

Bunuel

28 May 2022, 13:45

4

2

2,168

by: bumpbot

24 Jul 2023, 04:56

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Is (m^(1/n))^(1/2) an integer? (1) m = n + 14 (2) m = 5n + 6

555-605 (Medium) | Algebra, Roots

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

Bunuel

06 Sep 2019, 10:52

5

2

2,987

by: JeffTargetTestPrep

23 Jul 2023, 06:13

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What is the value of (x^2/y^2)^(1/2)*(y/x^2)^(1/2) + (y^2/x^2)^(1/2)

505-555 (Easy) | Roots

505-555 (Easy) | Roots hide tags

Bunuel

12 Jul 2019, 01:20

2

3

2,614

by: bumpbot

22 Jul 2023, 05:38

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If p^2 is an integer and (p^6-p^4-q-1)^(1/2) = 10 what is the value of

805+ (Hard) | Algebra +2 tags

805+ (Hard) | Algebra, Exponents, Roots hide tags

Carcass

24 Jan 2022, 07:49

7

4

2,042

by: bumpbot

21 Jul 2023, 08:08

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What is the value of x[square_root] 3[/square_root]

555-605 (Medium) | Exponents, Roots

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

AkshdeepS

28 Mar 2019, 22:19

8

4

4,056

by: bumpbot

25 Jun 2023, 01:57

ER

If a, b, and c are positive integers, is b = ac^(-1/2)

605-655 (Medium) | Algebra, Roots

605-655 (Medium) | Algebra, Roots hide tags

Bunuel

10 Oct 2017, 00:44

9

7

4,526

by: bumpbot

23 Jun 2023, 23:31

ER

If y = x^2+bx+c which has two real roots, Find the value of b+c? 1) S

555-605 (Medium) | Algebra +2 tags

555-605 (Medium) | Algebra, Coordinate Plane, Roots hide tags

GMATinsight

01 Apr 2020, 21:47

14

4

4,040

by: tsraeroshad

01 Jun 2023, 08:32

ER

Is r^x < 100?

705-805 (Hard) | Exponents +2 tags

705-805 (Hard) | Exponents, Inequalities, Roots hide tags

Bunuel

03 Oct 2017, 00:05

34

8

4,942

by: bumpbot

22 May 2023, 08:00

ER

What is the value of a+b?

705-805 (Hard) | Algebra, Roots

705-805 (Hard) | Algebra, Roots hide tags

fskilnik

26 Feb 2019, 10:58

10

6

3,329

by: bumpbot

22 May 2023, 07:49

ER

HOT Competition 1 Sep/8AM: If x 5 and x is a non-zero integer, what

805+ (Hard) | Absolute Values +3 tags

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

Bunuel

01 Sep 2020, 08:00

50

10

8,355

by: MonishBhawale

17 May 2023, 01:36

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If q, r, s and t are positive, does s = t ?

505-555 (Easy) | Algebra, Roots

505-555 (Easy) | Algebra, Roots hide tags

Bunuel

28 Apr 2023, 01:30

1

1,460

by: hinasingh

01 May 2023, 21:42

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What is the value of integer x?

605-655 (Medium) | Absolute Values +2 tags

605-655 (Medium) | Absolute Values, Number Properties, Roots hide tags

Bunuel

10 Apr 2020, 10:54

37

14

7,244

by: bumpbot

02 Apr 2023, 00:46

ER

If xy^4/3 =√432, is x + y = 5? (1) y is a positive integer. (2) x is

805+ (Hard) | Exponents +2 tags

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

Bunuel

07 Apr 2021, 03:00

25

6

4,689

by: Bunuel

28 Mar 2023, 00:42

ER

If Z is a positive integer such that (Z/81)^(1/3) = Y^4 - 7. What is

805+ (Hard) | Absolute Values +4 tags

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Bunuel

07 Nov 2019, 02:56

18

5

4,558

by: bumpbot

05 Feb 2023, 21:20

ER

Is n the square of an integer? (1) n is the square root of an integer

805+ (Hard) | Number Properties, Roots

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

Bunuel

01 Jul 2018, 21:47

53

10

5,200

by: bumpbot

08 Dec 2022, 07:08

ER

If y and z are positive integers, is yz a multiple of 64?

605-655 (Medium) | Multiples and Factors, Roots

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

Bunuel

24 Feb 2020, 03:45

15

3

5,664

by: bumpbot

02 Nov 2022, 13:26

ER

Is the nth root of n greater than the cube root of 3?

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

zxcvbnmas

04 Feb 2016, 18:18

11

6

7,334

by: bumpbot

17 Oct 2022, 01:41

If z is a positive integer, is z an integer? (1) 9z is an integer

505-555 (Easy) | Number Properties, Roots

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

Carcass

22 Sep 2022, 00:48

5

1

1,534

by: Archit3110

22 Sep 2022, 02:49

ER

If x is an integer between 2 and 100 and if x is also an integer, wh

655-705 (Hard) | Number Properties, Roots

655-705 (Hard) | Number Properties, Roots hide tags

Carcass

20 Sep 2022, 00:18

11

3

2,237

by: chetan2u

20 Sep 2022, 10:44

ER

What is the value of y?

805+ (Hard) | Algebra +2 tags

805+ (Hard) | Algebra, Arithmetic, Roots hide tags

GGMU

24 Jun 2016, 08:21

143

18

15,061

by: bumpbot

18 Sep 2022, 11:16

ER

If n is an integer, what is the value of n?

705-805 (Hard) | Number Properties, Roots

705-805 (Hard) | Number Properties, Roots hide tags

Rubina11

10 Mar 2019, 03:48

12

8

4,822

by: bumpbot

16 Sep 2022, 05:07

ER

What is the value of y?

505-555 (Easy) | Roots

505-555 (Easy) | Roots hide tags

BrentGMATPrepNow

01 Nov 2021, 15:09

6

5

2,741

by: BrentGMATPrepNow

22 Jun 2022, 18:14

ER

What is x? (1) 4x^(1/2) = 6 (2) x^2 =8

Sub 505 (Easy) | Algebra +2 tags

Sub 505 (Easy) | Algebra, Exponents, Roots hide tags

selfishmofo

03 Mar 2022, 03:04

6

2

4,743

by: Anvesh99

14 May 2022, 17:55

ER

If x is a positive number, is x less than 1? (1) x > x (2) x > x

555-605 (Medium) | Inequalities, Roots

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

Bunuel

04 May 2022, 02:00

3

1

2,815

by: BrentGMATPrepNow

04 May 2022, 07:05

ER

What is the cube root of x? (1) The fourth root of x = 3 (2) x^2 = 65

605-655 (Medium) | Algebra, Roots

605-655 (Medium) | Algebra, Roots hide tags

Snehaaaaa

21 Feb 2022, 08:55

4

3

2,279

by: chetan2u

05 Apr 2022, 18:20

ER

Is (m^(1/n))^(1/2) an integer?

555-605 (Medium) | Algebra, Roots

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

prashanths

20 Jun 2019, 03:53

11

6

3,664

by: bumpbot

27 Dec 2021, 04:09

ER

What is the value of x^3 ?

Sub 505 (Easy) | Number Properties, Roots

Sub 505 (Easy) | Number Properties, Roots hide tags

Bunuel

21 Dec 2021, 02:30

1

1,825

by: ElninoEffect

21 Dec 2021, 05:06

If a is not equal to b and a^3=b^2, what is the value of b^4 ?

705-805 (Hard) | Exponents, Roots

705-805 (Hard) | Exponents, Roots hide tags

Kaushik786

08 Mar 2021, 05:07

7

5

2,644

by: SantoshN

01 Jul 2021, 07:21

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If m is a positive integer, is m^(1/2) an integer?

Sub 505 (Easy) | Number Properties, Roots

Sub 505 (Easy) | Number Properties, Roots hide tags

Bunuel

15 May 2018, 03:50

6

5,869

by: CrackverbalGMAT

23 Jun 2021, 04:52

ER

If xy ≠ 0 and (xy/3)^(1/2) = x, what is y ? (1) x/y = 1/3 (2) x = 3

505-555 (Easy) | Algebra, Roots

505-555 (Easy) | Algebra, Roots hide tags

Bunuel

09 Mar 2020, 06:08

11

3

3,983

by: Bunuel

20 Jun 2021, 01:33

ER

What is the value of x ? (1) √(x^2) = 19 (2) √(19^2) = x

555-605 (Medium) | Algebra, Roots

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

Bunuel

08 Apr 2021, 10:00

7

2

2,453

by: Bunuel

15 Apr 2021, 21:00

ER

What is the value of x ? (1) √(x^2) = 19 (2) √(19^2) = x

555-605 (Medium) | Algebra, Roots

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

Bunuel

12 Feb 2021, 01:15

4

2,236

by: Bunuel

15 Feb 2021, 01:30

ER

If y = (5-x)^1/2 where x and y are integers, what is the

655-705 (Hard) | Remainders, Roots

655-705 (Hard) | Remainders, Roots hide tags

MacFauz

20 Jul 2014, 09:49

20

5

6,388

by: bumpbot

16 Oct 2020, 11:31

ER

If n is a positive integer, is n^(1/2)/3 an integer ?

655-705 (Hard) | Number Properties, Roots

655-705 (Hard) | Number Properties, Roots hide tags

Bunuel

20 Mar 2020, 05:05

5

2

2,370

by: GMATWhizTeam

21 Mar 2020, 09:09

ER

What is the cube root of z? (1) The 5th root of z is 243. (2) The 25

Sub 505 (Easy) | Roots

Sub 505 (Easy) | Roots hide tags

Bunuel

14 Aug 2019, 01:22

5

3,569

by: Bunuel

10 Sep 2019, 01:23

ER

If x is a positive integer, is √√x an integer? (1) x is the square of

505-555 (Easy) | Number Properties, Roots

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

danzig

21 May 2021, 05:12

8

3

3,562

by: BelalHossain046

30 Mar 2019, 12:07

ER

If y is an integer, is 3^y/10000 > 1

555-605 (Medium) | Exponents +2 tags

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AkshdeepS

27 Mar 2019, 23:04

3

7

3,171

by: AkshdeepS

27 Mar 2019, 23:23

ER

If (y^2 + 1)^(1/2) = 2, what is the value of y ?

555-605 (Medium) | Algebra, Roots

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

Bunuel

07 Sep 2017, 23:56

5

2

3,354

by: bumpbot

17 Dec 2018, 01:32