Last visit was: 03 Sep 2026, 03:43 It is currently 03 Sep 2026, 03:43
Home
Messages
Tests
Schools
Events
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
   1   2   3 
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 03 Sep 2026
Posts: 113,074
Own Kudos:
838,791
Given Kudos: 111,297
Products:
GMAT Club Tests
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 113,074
Kudos: 838,791
Bunuel's Algebra DS Diagnostic Test 17 Aug 2023, 09:17
Kudos
Add Kudos
Bookmarks
Bookmark this Post
saswat1987
Bunuel : Where to find the solutions or discussion for all the 40 Questions, I need to know whether my thought process and approach to the solution is okay or not. Probably, I can also learn something new.

Please respond.. :please: :please:
Show more

We'll be releasing official solutions for all the questions in due course. In the meantime, feel free to share your explanations and insights.
User avatar
Hrishabh07
User avatar
Joined: 27 Oct 2020
Last visit: 06 Apr 2024
Posts: 6
Given Kudos: 10
Location: India
Schools: HEC MiM "25
Schools: HEC MiM "25
Posts: 6
Kudos: 0
Bunuel's Algebra DS Diagnostic Test 18 Aug 2023, 10:18
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel can you explain que 4 why A is wrong
User avatar
saswat1987
User avatar
Joined: 27 Nov 2014
Last visit: 27 Aug 2026
Posts: 27
Own Kudos:
29
Given Kudos: 89
Location: India
Concentration: International Business, General Management
GMAT 1: 360 Q27 V14
GMAT 2: 430 Q30 V20
GMAT 3: 480 Q36 V20
GPA: 3.78
WE:Engineering (Transportation)
GMAT 3: 480 Q36 V20
Posts: 27
Kudos: 29
Bunuel's Algebra DS Diagnostic Test 18 Aug 2023, 11:45
Kudos
Add Kudos
Bookmarks
Bookmark this Post
My 2 cents : Hope this helps.
Statement : (1) (−2)^x∗y^3>0... if you put x=1, (-2)^1 = -2 and y^3 needs to be -ve to hold the statement true... but if y^3 is +ve, then the expression will not hold true..

Now consider, x=2, (-2)^2 = 4 and y^3 needs to be +ve.. if it is -ve then the statement fails..we don't know anything about y. hence not sufficient.

Also, for the time being lets assume x=0, the statement 1 will become (-2)^0 *y^3>0 => 1*y^3>0... a lot will depend on y, hence insufficient. Answer is B.
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 03 Sep 2026
Posts: 113,074
Own Kudos:
838,791
Given Kudos: 111,297
Products:
GMAT Club Tests
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 113,074
Kudos: 838,791
Bunuel's Algebra DS Diagnostic Test 20 Aug 2023, 10:15
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hrishabh07
Bunuel can you explain que 4 why A is wrong
Show more

4. If x and y are integers, is \(x = 0\)?

(1) \((-2)^x*y^3 > 0\)

If x is even (including 0), (-2)^x is positive.
If x is odd, (-2)^x is negative.
The sign of y^3 depends on y.

From this, (-2)^x * y^3 > 0 holds when x is even (including 0) and y is positive, as well as when x is odd and y is negative. Thus, x can be either even (including 0) or odd, depending on y's value. Insufficient.

(2) \((-3)^x*y^2 < 0\)

The square of a number is always positive or 0. However, since the product above is not 0, y^2 cannot be 0; hence, y^2 is positive. This implies that (-3)^x must be negative, which further implies that x must be odd. Thus, x cannot be 0. Sufficient.

Answer: B.
User avatar
einstein801
User avatar
Joined: 23 Jan 2024
Last visit: 18 Feb 2025
Posts: 145
Own Kudos:
290
Given Kudos: 138
Posts: 145
Kudos: 290
Bunuel's Algebra DS Diagnostic Test 01 May 2024, 16:58
Kudos
Add Kudos
Bookmarks
Bookmark this Post
where is x and y = 0 from?
av1901
6. If \(x + y ≠ 0\), is \(\frac{1}{(x + y)} < 2\)?

(1) \(x^3 = y^3\)
(2) \(\frac{1}{x} < 2\)

Solution:

(1) \(x^3 = y^3\)

=> x = y

If x = y = 2: YES
If x = y = 1/10: NO

Not sufficient

(2) \(\frac{1}{x} < 2\)

This does not give us any information about y

Not sufficient

TOGETHER: Both statements combined:

\(x = y\) and \(\frac{1}{x} < 2\) => \(\frac{1}{y} < 2\)

=> \( x = y > \frac{1}{2}\) or \(x = y < 0\)

In any possible case, \(\frac{1}{(x + y)} < 2\) ALWAYS

SUFFICIENT

Answer: C
Show more
­
User avatar
einstein801
User avatar
Joined: 23 Jan 2024
Last visit: 18 Feb 2025
Posts: 145
Own Kudos:
290
 [1]
Given Kudos: 138
Posts: 145
Kudos: 290
 [1]
Bunuel's Algebra DS Diagnostic Test 01 May 2024, 17:13
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Correctness of second half on solving (x-y)(x+y)<0 is correct up to the point where -y < x < y. the second inequality is inconsequential and irrelevant and not attributable to the question. B should be the correct answer.

e.g. (x-3)(x+3)<0. this is only true for -3<x<3.
av1901
8. Is \(x > y\)?

(1) \(x + y > 0\)
(2) \(y^2 > x^2\)

Solution:

(1) \(x + y > 0\)

\(x > -y\)

If \(y = 3: x > -3\): If x = -2 NO, If x = 4 YES

Not sufficient

(2) \(y^2 > x^2\)

\(x^2 - y^2 < 0\)
\((x - y)(x + y) < 0\)

Either \(-y < x < y\) OR \(x > y & x < -y\)

In one case, x > y, in other it is not

Not Sufficient

Together: Both statements combined

From statement 2: Either \(-y < x < y\) OR \(x > y & x < -y\)
From statement 1: \(x > -y\)

=> \(-y < x < y\)

SUFFICIENT

Answer: C
Show more
­
User avatar
hughng92
User avatar
Joined: 30 Sep 2017
Last visit: 05 Jan 2025
Posts: 63
Own Kudos:
111
Given Kudos: 12
Posts: 63
Kudos: 111
Bunuel's Algebra DS Diagnostic Test 30 May 2024, 07:28
Kudos
Add Kudos
Bookmarks
Bookmark this Post
For question #37, Bunuel, do we have the correct format of statement (1)? I had to skip this question as I could not make out of it. Thanks!­
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 03 Sep 2026
Posts: 113,074
Own Kudos:
838,791
Given Kudos: 111,297
Products:
GMAT Club Tests
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 113,074
Kudos: 838,791
Bunuel's Algebra DS Diagnostic Test 30 May 2024, 07:39
Kudos
Add Kudos
Bookmarks
Bookmark this Post
hughng92
For question #37, Bunuel, do we have the correct format of statement (1)? I had to skip this question as I could not make out of it. Thanks!­
Show more
­You cn ignore that question becasue such type of pure algebraic questions are no longer a part of the DS syllabus of the GMAT.­

­DS questions in GMAT Focus encompass various types of word problems, such as:
  • Word Problems
  • Work Problems
  • Distance Problems
  • Mixture Problems
  • Percent and Interest Problems
  • Overlapping Sets Problems
  • Statistics Problems
  • Combination and Probability Problems

While these questions may involve or necessitate knowledge of algebra, arithmetic, inequalities, etc., they will always be presented in the form of word problems. You won't encounter pure "algebra" questions like, "Is x > y?" or "A positive integer n has two prime factors..."­

­Check GMAT Syllabus for Focus Edition­

Hope it helps.­
User avatar
hughng92
User avatar
Joined: 30 Sep 2017
Last visit: 05 Jan 2025
Posts: 63
Own Kudos:
111
Given Kudos: 12
Posts: 63
Kudos: 111
Bunuel's Algebra DS Diagnostic Test 30 May 2024, 07:43
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

hughng92
For question #37, Bunuel, do we have the correct format of statement (1)? I had to skip this question as I could not make out of it. Thanks!­
­You cn ignore that question becasue such type of pure algebraic questions are no longer a part of the DS syllabus of the GMAT.­

­DS questions in GMAT Focus encompass various types of word problems, such as:

  • Word Problems
  • Work Problems
  • Distance Problems
  • Mixture Problems
  • Percent and Interest Problems
  • Overlapping Sets Problems
  • Statistics Problems
  • Combination and Probability Problems

While these questions may involve or necessitate knowledge of algebra, arithmetic, inequalities, etc., they will always be presented in the form of word problems. You won't encounter pure "algebra" questions like, "Is x > y?" or "A positive integer n has two prime factors..."­

­Check GMAT Syllabus for Focus Edition­

Hope it helps.­
Show more
­Thank you. I just got the 2024-2025 bundle so I think I will go through those to see the new updated question styles.

Do you recommend the GMAT Official Guide Advanced Question Book (https://www.amazon.com/Official-Advance ... 1119620953) given the question styles have changed in the Focus Edition? Don't want to waste time studying the irrelevant / outdated materials. Thanks, Bunuel.
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 03 Sep 2026
Posts: 113,074
Own Kudos:
838,791
Given Kudos: 111,297
Products:
GMAT Club Tests
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 113,074
Kudos: 838,791
Bunuel's Algebra DS Diagnostic Test 30 May 2024, 07:45
Kudos
Add Kudos
Bookmarks
Bookmark this Post
hughng92

Bunuel

hughng92
For question #37, Bunuel, do we have the correct format of statement (1)? I had to skip this question as I could not make out of it. Thanks!­
­You cn ignore that question becasue such type of pure algebraic questions are no longer a part of the DS syllabus of the GMAT.­

­DS questions in GMAT Focus encompass various types of word problems, such as:


  • Word Problems
  • Work Problems
  • Distance Problems
  • Mixture Problems
  • Percent and Interest Problems
  • Overlapping Sets Problems
  • Statistics Problems
  • Combination and Probability Problems

While these questions may involve or necessitate knowledge of algebra, arithmetic, inequalities, etc., they will always be presented in the form of word problems. You won't encounter pure "algebra" questions like, "Is x > y?" or "A positive integer n has two prime factors..."­

­Check GMAT Syllabus for Focus Edition­

Hope it helps.­
­Thank you. I just got the 2024-2025 bundle so I think I will go through those to see the new updated question styles.

Do you recommend the GMAT Official Guide Advanced Question Book (https://www.amazon.com/Official-Advance ... 1119620953) given the question styles have changed in the Focus Edition? Don't want to waste time studying the irrelevant / outdated materials. Thanks, Bunuel.
Show more
­I'd check new books from GMAC only.
User avatar
ozzaayy
User avatar
Joined: 25 Jun 2021
Last visit: 23 Dec 2024
Posts: 16
Own Kudos:
5
Given Kudos: 161
Location: India
Concentration: General Management, Accounting
GPA: 9.054
Posts: 16
Kudos: 5
Bunuel's Algebra DS Diagnostic Test 02 Jun 2024, 05:49
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Adding this reply to make sure we get more of these insightful diagnostic tests from Bunuel
User avatar
Gg153
User avatar
Joined: 25 Oct 2024
Last visit: 02 Feb 2026
Posts: 99
Own Kudos:
52
Given Kudos: 102
Location: India
Products:
My Reviews
Posts: 99
Kudos: 52
Bunuel's Algebra DS Diagnostic Test 19 Jun 2025, 02:55
Kudos
Add Kudos
Bookmarks
Bookmark this Post
My question is, shoudn't statement 2 be enough? because if \(\frac{ 1}{x } <2 \) then no matter what you add as y to x, the fraction \(\frac{1}{(x + y)} < 2\), it will always be lesser than 2
av1901
6. If \(x + y ≠ 0\), is \(\frac{1}{(x + y)} < 2\)?

(1) \(x^3 = y^3\)
(2) \(\frac{1}{x} < 2\)

Solution:

(1) \(x^3 = y^3\)

=> x = y

If x = y = 2: YES
If x = y = 1/10: NO

Not sufficient

(2) \(\frac{1}{x} < 2\)

This does not give us any information about y

Not sufficient

TOGETHER: Both statements combined:

\(x = y\) and \(\frac{1}{x} < 2\) => \(\frac{1}{y} < 2\)

=> \( x = y > \frac{1}{2}\) or \(x = y < 0\)

In any possible case, \(\frac{1}{(x + y)} < 2\) ALWAYS

SUFFICIENT

Answer: C
Show more
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 03 Sep 2026
Posts: 113,074
Own Kudos:
838,791
 [1]
Given Kudos: 111,297
Products:
GMAT Club Tests
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 113,074
Kudos: 838,791
 [1]
Bunuel's Algebra DS Diagnostic Test 19 Jun 2025, 04:02
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
sanya511
My question is, shoudn't statement 2 be enough? because if \(\frac{ 1}{x } <2 \) then no matter what you add as y to x, the fraction \(\frac{1}{(x + y)} < 2\), it will always be lesser than 2
av1901
6. If \(x + y ≠ 0\), is \(\frac{1}{(x + y)} < 2\)?

(1) \(x^3 = y^3\)
(2) \(\frac{1}{x} < 2\)

Solution:

(1) \(x^3 = y^3\)

=> x = y

If x = y = 2: YES
If x = y = 1/10: NO

Not sufficient

(2) \(\frac{1}{x} < 2\)

This does not give us any information about y

Not sufficient

TOGETHER: Both statements combined:

\(x = y\) and \(\frac{1}{x} < 2\) => \(\frac{1}{y} < 2\)

=> \( x = y > \frac{1}{2}\) or \(x = y < 0\)

In any possible case, \(\frac{1}{(x + y)} < 2\) ALWAYS

SUFFICIENT

Answer: C
Show more

How about x = 3 and y = -2.99? In this case 1/(x + y) = 100.

P.S. ­You can ignore that question becasue such type of pure algebraic questions are no longer a part of the DS syllabus of the GMAT.­

­DS questions in GMAT Focus encompass various types of word problems, such as:
  • Word Problems
  • Work Problems
  • Distance Problems
  • Mixture Problems
  • Percent and Interest Problems
  • Overlapping Sets Problems
  • Statistics Problems
  • Combination and Probability Problems

While these questions may involve or necessitate knowledge of algebra, arithmetic, inequalities, etc., they will always be presented in the form of word problems. You won't encounter pure "algebra" questions like, "Is x > y?" or "A positive integer n has two prime factors..."­

­Check GMAT Syllabus for Focus Edition­

Hope it helps.­
User avatar
Gg153
User avatar
Joined: 25 Oct 2024
Last visit: 02 Feb 2026
Posts: 99
Own Kudos:
52
Given Kudos: 102
Location: India
Products:
My Reviews
Posts: 99
Kudos: 52
Bunuel's Algebra DS Diagnostic Test 19 Jun 2025, 10:01
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Thankyou, I did overlook that aspect : )
User avatar
Reva22
User avatar
Joined: 19 Sep 2024
Last visit: 03 Sep 2026
Posts: 9
Own Kudos:
2
Given Kudos: 55
Products:
Forum Quiz
Posts: 9
Kudos: 2
Bunuel's Algebra DS Diagnostic Test 30 Jul 2026, 02:25
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Can we pls have something like for verbal as well?
Bunuel


    Word problems will include:
  • Distance/Rate Problems
  • Mixture Problems
  • Overlapping Sets
  • Work/Rate Problems
  • Word problems


    Number properties will include:
  • Divisibility/Multiples/Factors
  • Remainders
  • Number properties

    Combinations/probability/statistics will include:
  • Combinations
  • Probability
  • Statistics and Sets Problems

    Geometry will include:
  • Coordinate Geometry
  • Geometry

OK. Here is a deal: if both Algebra: PS Diagnostic Test and Algebra: DS Diagnostic Test get 100 replies, I'll do ALL these topic for PS as well as DS!


How does this sound?
Show more
User avatar
Reva22
User avatar
Joined: 19 Sep 2024
Last visit: 03 Sep 2026
Posts: 9
Own Kudos:
2
Given Kudos: 55
Products:
Forum Quiz
Posts: 9
Kudos: 2
Bunuel's Algebra DS Diagnostic Test 30 Jul 2026, 02:25
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Can we pls have something like for verbal as well?
Bunuel


    Word problems will include:
  • Distance/Rate Problems
  • Mixture Problems
  • Overlapping Sets
  • Work/Rate Problems
  • Word problems


    Number properties will include:
  • Divisibility/Multiples/Factors
  • Remainders
  • Number properties

    Combinations/probability/statistics will include:
  • Combinations
  • Probability
  • Statistics and Sets Problems

    Geometry will include:
  • Coordinate Geometry
  • Geometry

OK. Here is a deal: if both Algebra: PS Diagnostic Test and Algebra: DS Diagnostic Test get 100 replies, I'll do ALL these topic for PS as well as DS!


How does this sound?
Show more
User avatar
Reva22
User avatar
Joined: 19 Sep 2024
Last visit: 03 Sep 2026
Posts: 9
Own Kudos:
2
Given Kudos: 55
Products:
Forum Quiz
Posts: 9
Kudos: 2
Bunuel's Algebra DS Diagnostic Test 30 Jul 2026, 02:29
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Q.21 A alone is also sufficient right? So answer can be A/D
Bunuel
Bunuel's Algebra Diagnostic Test

Absolute Values/Modulus, Algebra, Arithmetic, Exponents/Powers, Fractions/Ratios/Decimals, Functions and Custom Characters, Inequalities, Min/Max Problems, Must or Could be True Questions, Percent and Interest Problems.



Please note that the questions are ranked in ascending level of difficulty according to the timer stats.


Grading & How to use this test:
  • Please time yourself and allocate 2 mins per question
  • 27 or more correct, your Algebra score is Q50+
  • 24 - 26 correct, your Algebra score is Q49
  • 21 - 23 correct, your Algebra score is Q48
  • 18 - 20 correct, your Algebra score is Q47
  • 15 - 17 correct, your Algebra score is Q46
  • 12 - 14 correct, your Algebra score is Q45

    Note that levels 7 and 8 are very hard questions. These questions are well within the GMAT parameters but their difficulty is driven by the amount of time you will need to spend to solve each of the questions. Do not be discouraged if you are not able to solve any of the Level 7 or 8 questions.


------------------- EASY -------------------

LEVEL 1:

1. Is \(x = 0\)?

(1) \(xy = x\)
(2) \(x + y = y\)

Show SpoilerOA
B


2. Is \(Q > 0\) ?

(1) \(P*Q^3*R^4 < 0\)
(2) \(P*Q^2*S^6 > 0\)

Show SpoilerOA
C


3. Is \(|x + y| < |x| + |y|\) ?

(1) \(xy < 0\)
(2) \(x < y\)

Show SpoilerOA
A


4. If x and y are integers, is \(x = 0\)?

(1) \((-2)^x*y^3 > 0\)
(2) \((-3)^x*y^2 < 0\)

Show SpoilerOA
B


5. If m and n are positive integers, is \(4^m*(\frac{1}{3})^n < 1\)?

(1) n = 2m
(2) n = 4

Show SpoilerOA
A


LEVEL 2:

6. If \(x + y ≠ 0\), is \(\frac{1}{(x + y)} < 2\)?

(1) \(x^3 = y^3\)
(2) \(\frac{1}{x} < 2\)

Show SpoilerOA
C


7. Is \(x = 0\) ?

(1) \(x^2*y^3 > 0\)
(2) \(x^3*y^2 < 0\)

Show SpoilerOA
D


8. Is \(x > y\)?

(1) \(x + y > 0\)
(2) \(y^2 > x^2\)

Show SpoilerOA
C


9. Is \(|x + 1| < 2\) ?

(1) \((x - 1)^2 < 1\)
(2) \(x^2 - 2 < 0\)

Show SpoilerOA
E


10. Is \(x > y\) ?

(1) \(x^2 < y^2\)
(2) \(y < 0\)

Show SpoilerOA
C


------------------- MEDIUM -------------------

LEVEL 3:

11. Is \(|x - y| = ||x| - |y||\) ?

(1) \(xy > 0\)
(2) \(x < y < 0\)

Show SpoilerOA
D


12. What is the value of positive integer n ?

(1) \(n^{5!} = 1\)
(2) \(n^5 = n!\)

Show SpoilerOA
D


13. If m and n are positive integers, and \(x = 2^m3^n\), is m < n ?

(1) x is divisible by 144
(2) x is not divisible by 648

Show SpoilerOA
C


14. Is \(xy < 0\) ?

(1) \(x^2 = y^2\)
(2) \(\frac{1}{(x + y)} < 1\)

Show SpoilerOA
C


15. Is \(|x| + x > |y| + y\) ?

(1) \(xy > 0\)
(2) \(x + y < 0\)

Show SpoilerOA
C


LEVEL 4:

16. Is \(x^2 < x^3\)?

(1) \(x < x^2\)
(2) \(x < 1\)

Show SpoilerOA
B


17. Is \(ac + \sqrt{(a^2 - 1)(c^2 - 1)} \leq 1\) ?

(1) \(a^2 + b^2 = 1\)
(2) \(c^2 + d^2 = 1\)

Show SpoilerOA
C


18. If n is an integer such that \(\frac{1}{6} < \frac{1}{(n-1)} < \frac{1}{3}\), what is the value of n?

(1) \((n - 6)(n - 7) = 0\)
(2) \((n - 5)(n - 3) ≠ 0\)

Show SpoilerOA
D


19. If m and n are positive two-digit integers, what is the value of the tens digit of m minus the tens digit of n ?

(1) m - n = 42.
(2) The units digit of m minus the units digit of n is not a multiple of 3.

Show SpoilerOA
E


20. If \(x + y ≠ 0\), is \(\frac{1}{(x + y)} < 1\)?

(1) \(x^2 = y^2\)
(2) \(\frac{1}{x} < 2\)

Show SpoilerOA
C


------------------- HARD -------------------

LEVEL 5:

21. Is p an odd integer?

(1) \((p^5)^5\) is an odd integer.
(2) \(\sqrt[5]{\sqrt[5]{p\) is an odd integer.

Show SpoilerOA
B


22. Does \(x = \)y ?

(1) \(\frac{xy}{(x + y)} = 0\)
(2) \(xy = 0\)

Show SpoilerOA
A


23. If \(x\) and \(y\) are integers, \(m = 3^{x-y}*5^{2y-1}*7^{4-x}\) and \(n = 105^y\), what is the value of \(y\)?

(1) \(n\) is NOT a multiple of \(m\).
(2) \(m\) is a multiple of \(n\).

Show SpoilerOA
B


24. Is \(p + q > pq\) ?

(1) \(p > 0 > q\)
(2) \(|q| = p\)

Show SpoilerOA
C


25. If m and n are positive two-digit integers, what is the value of the tens digit of m minus the tens digit of n ?

(1) m - n = 43.
(2) The units digit of m minus the units digit of n is not a multiple of 3.

Show SpoilerOA
C


LEVEL 6:

26. If m and n are integers, is [b]mn > 0 ?[/b]

(1) \(\frac{m}{n}\) is an integer.
(2) \(|m| < |n|\)

Show SpoilerOA
C


27. If \(x^2 +y^2 \leq 25\), is \(x^2 < x\) ?

(1) \(y^2 > 9\).
(2) \(x = y + 3\).

Show SpoilerOA
C


28. If \(s - \frac{1}{s} < \frac{1}{t} - t\), then is \(s > t\) ?

(1) \(s > 1\)
(2) \(t > 0\)

Show SpoilerOA
A


29. The infinite sequence \(a_1\), \(a_2\),..., \(a_n\), ... is such that \(a_{n} < a_{n-1}\), for all n > 1. Does the sequence have more than 12 positive numbers ?

(1) \(\frac{a_{14{a_{13=\frac{\sqrt{10{\pi}\).
(2) The product of any two of the first 14 terms is positive.

Show SpoilerOA
A


30. If a, b, and c are three-digit positive integers and if a = b + c, is the hundreds digit of a greater than the sum of the hundreds digits of b and c ?

(1) The tens digit of a is equal to the sum of the tens digits of b and c.
(2) The tens digit of a is equal to the product of the tens digits of b and c.

Show SpoilerOA
D


------------------- VERY HARD -------------------

LEVEL 7:

31. Positive integers a, b and c are all less than 10. If the sum of all the distinguishable three digit numbers that can be formed by juxtaposing these integers is 3108, is a=b?

(1) c = 9
(2) a = 2

Show SpoilerOA
D


32. If \(xy ≠ 0\), is \(x < y\)?

(1) \(x^8 < y^8\)
(2) \(x^{(-9)} < y^{(-9)}\)

Show SpoilerOA
E


33. If \(x ≠ 0\), is \(x < |x|\) ?

(1) \(|x|< 1\)
(2) \(\frac{x}{|x|} < x\)

Show SpoilerOA
C


34. If x is an integer and \(|x - 3| + |x + 4| \leq |x + 8|\), what is the value of x ?

(1) \(x < 1\)
(2) \(|x| > x\)

Show SpoilerOA
B


35. If a and b are single-digit positive numbers and a/b is NOT a recurring decimal, what is the value of a?

(1) \(-\frac{1}{3} > -\frac{a}{b} > -\frac{4}{5}\)
(2) b is equal to the sum of its positive divisors excluding b itself

Show SpoilerOA
C


LEVEL 8:

36. If \(a + b + c + d = 12\), what is the value of \(\sqrt{a^2+b^2+c^2+d^2}\) ?

(1) \(ab = cd = ad\)
(2) \(|a| = |b| = |c| = |d|\)

Show SpoilerOA
C


37. If \(xy \neq 0\), is \(x + y < 0\)?

(1) \(\frac{x}{\sqrt{x^2-\sqrt{-y*|y|}=y-1\)
(2) \((x+3)^2+(y+4)^2<15\)

Show SpoilerOA
D


38. Positive integers a, b and c are all less than 10. If the sum of all the distinguishable three digit numbers that can be formed by juxtaposing these integers is 1332, is a = b?

(1) c = 3
(2) b = 2

Show SpoilerOA
A


39. If \(|a| > |b| > |c|\), is \(a*b^3*c^3 > a*b^4*c^2\) ?

(1) \(a > b > c\)
(2) \(a + b > 0\)

Show SpoilerOA
D


40. If n is an integer such that \(\frac{1}{9} < \frac{1}{(n^2-1)} < \frac{1}{2}\), what is the value of n?

(1) \(\frac{1}{3} > \frac{1}{(1 - n)} > 1/7\)

(2) n is not an even integer.

Show SpoilerOA
A

Experience GMAT Club Test Questions
Yes, you've landed on a GMAT Club Tests question
Craving more? Unlock our full suite of GMAT Club Tests here
Want to experience more? Get a taste of our tests with our free trial today
Rise to the challenge with GMAT Club Tests. Happy practicing!
GMAT Club Tests Check Our Products Try Free Tests
Show more
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 03 Sep 2026
Posts: 113,074
Own Kudos:
838,791
 [1]
Given Kudos: 111,297
Products:
GMAT Club Tests
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 113,074
Kudos: 838,791
 [1]
Bunuel's Algebra DS Diagnostic Test 30 Jul 2026, 02:32
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Pure algebraic questions are no longer a part of the DS syllabus of the GMAT.

DS questions in GMAT Focus encompass various types of word problems, such as:

  • Word Problems
  • Work Problems
  • Distance Problems
  • Mixture Problems
  • Percent and Interest Problems
  • Overlapping Sets Problems
  • Statistics Problems
  • Combination and Probability Problems

While these questions may involve or necessitate knowledge of algebra, arithmetic, inequalities, etc., they will always be presented in the form of word problems. You won’t encounter pure "algebra" questions like, "Is x > y?" or "A positive integer n has two prime factors..."

Check GMAT Syllabus for Focus Edition

You can also visit the Data Sufficiency forum and filter questions by OG 2024-2025, GMAT Prep (Focus), and Data Insights Review 2024-2025 sources to see the types of questions currently tested on the GMAT.

So, you can ignore this question.
   1   2   3 
Moderators:
Bunuel
Math Expert
113073 posts
FrozenDragon
DI Forum Moderator
409 posts