Last visit was: 21 Apr 2026, 02:34

It is currently 21 Apr 2026, 02:34

Toolkit

Practice Tests

Data Insights Questions

Two-part Analysis (TPA)

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

Request Expert Reply

Confirm Cancel

Apr 16
Sneak Peek: $200 Off GMAT Prep
12:00 PM EDT
-
11:59 PM EDT
You’re first to know: Save $200 on GMAT prep starting tomorrow, 4/13. Get 6 official practice tests and study with real questions. Be ready to save!
Apr 26
Score High on the GMAT with Target Test Prep
10:00 AM EDT
-
11:00 AM EDT
The Target Test Prep course represents a quantum leap forward in GMAT preparation, a radical reinterpretation of the way that students should study. Try before you buy with a 5-day, full-access trial of the course for FREE!
Apr 27
Try OnDemand GMAT Masterclass
11:00 AM EDT
-
12:00 PM EDT
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors
Apr 28
Join - GMAT Day!
08:00 AM PDT
-
11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.

Back to Forum

Create Topic

12 Days of Christmas GMAT Competition - Day 6: A tech startup has

1 2 3 4

Heix

Joined: 21 Feb 2024

Last visit: 13 Apr 2026

Posts: 460

Own Kudos:

164

[1]

Given Kudos: 63

Location: India

Concentration: Finance, Entrepreneurship

Schools: Ross MM "26 NUS Columbia '27

GMAT Focus 1: 485 Q76 V74 DI77 Verified score

GPA: 3.4

WE:Accounting (Finance)

Products:

Schools: Ross MM "26 NUS Columbia '27

GMAT Focus 1: 485 Q76 V74 DI77 Verified score

Posts: 460

Kudos: 164

[1]

23 Dec 2024, 23:01

Kudos

Bookmarks

A tech startup has recently expanded its team to 32 employees, focusing on two main areas: artificial intelligence (AI) and cybersecurity. Here's the team composition:

75% of the employees work in AI, while the remaining 25% work in cybersecurity. There is no overlap between these departments.
In the cybersecurity team, the ratio of employees with a master's degree to those without is 3:5.
In the AI team, the ratio of employees with a master's degree to those without is 5:3.

If the ratio of employees with a master's degree to those without is p to q, select for p the possible value of p, and select for q the possible value of q that would be jointly consistent with the given information. Make only two selections, one in each column.

Show Spoiler

Attachment:

GMAT-Club-Forum-559dqh81.jpeg [ 266.03 KiB | Viewed 539 times ]

Eswar69

Joined: 12 Jun 2024

Last visit: 24 Mar 2026

Posts: 36

Own Kudos:

[1]

Given Kudos: 14

Posts: 36

Kudos: 41

[1]

23 Dec 2024, 23:28

Kudos

Bookmarks

Bunuel

12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes

This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

A tech startup has recently expanded its team to 32 employees, focusing on two main areas: artificial intelligence (AI) and cybersecurity. Here's the team composition:

75% of the employees work in AI, while the remaining 25% work in cybersecurity. There is no overlap between these departments.
In the cybersecurity team, the ratio of employees with a master's degree to those without is 3:5.
In the AI team, the ratio of employees with a master's degree to those without is 5:3.

If the ratio of employees with a master's degree to those without is p to q, select for p the possible value of p, and select for q the possible value of q that would be jointly consistent with the given information. Make only two selections, one in each column.

Total Employees = 32
75% work in AI = 24
25% work in CS = 8
[No Overlap]

AI = Master's : No Master's = 5:3
CS = Master's : No Master's = 3:5

Total (32)	Artificial Intelligence	Cyber Security
Master's Degree	15	3
No Master's Degree	9	5

Ratio of Employees w/ Master's vs w/o Master's = p : q
p = 15+3 = 18
q = 9+5 = 14

p/q = 18/14 = 9/7

p = 9 & q = 7

AviNFC

Joined: 31 May 2023

Last visit: 10 Apr 2026

Posts: 306

Own Kudos:

366

[1]

Given Kudos: 5

Posts: 306

Kudos: 366

[1]

23 Dec 2024, 23:38

Kudos

Bookmarks

T=32

AI=0.75*32=24
Master=15, Non master=9

CY=0.25*32=8
Master=3, Non Master=5

p=15+3=18
q=9+5=14

p/q=18/14=9/7

Answer 9 & 7

Oppenheimer1945

Joined: 16 Jul 2019

Last visit: 16 Apr 2026

Posts: 786

Own Kudos:

663

[1]

Given Kudos: 236

Location: India

Schools: INSEAD '26 (D) ISB '27 (D) IIMB '26 (A) IIMA '26 (A) HEC '26 (D) LBS '26 IESE '27 (D) Fuqua '27 (WL) Tepper '27 (WL)

GMAT Focus 1: 645 Q90 V76 DI80 Verified score

GPA: 7.81

Schools: INSEAD '26 (D) ISB '27 (D) IIMB '26 (A) IIMA '26 (A) HEC '26 (D) LBS '26 IESE '27 (D) Fuqua '27 (WL) Tepper '27 (WL)

GMAT Focus 1: 645 Q90 V76 DI80 Verified score

Posts: 786

Kudos: 663

[1]

23 Dec 2024, 23:53

Kudos

Bookmarks

Masters in cybersecurity =3
Masters in AI = 5*3=15

Thus total masters =18

Total non masters = 32-18=14

Ratio of masters: non masters = 18:14 =9:7
P=9, q=7

Seb2m02

Joined: 03 Oct 2023

Last visit: 17 Mar 2026

Posts: 35

Own Kudos:

[1]

Given Kudos: 139

Posts: 35

Kudos: 40

[1]

24 Dec 2024, 00:31

Kudos

Bookmarks

I would say p=9 and q=7

There are 32 employees, 24 (15 with a master) in the AI department and 8 (3 with a master) in the cyber department
Total employee with a master = 18 = p
Total employee without a master = 32-18=14 = q
p/q = 18/14 = 9/7

bellsprout24

Joined: 05 Dec 2024

Last visit: 29 Mar 2026

Posts: 57

Own Kudos:

[1]

Given Kudos: 2

Posts: 57

Kudos: 85

[1]

24 Dec 2024, 01:04

Kudos

Bookmarks

Answer is p = 9 and q = 7

0.75 * 32 = 24 in AI
0.25 * 32 = 8 in cybersecurity
3:5 in cybersecurity = 3 with and 5 without
5:3 in AI = 15 with and 9 without
Total = 18 with and 14 without = 18:14 = 9:7

ashminipoddar10

Joined: 14 Jun 2024

Last visit: 07 Jul 2025

Posts: 56

Own Kudos:

[1]

Given Kudos: 26

Posts: 56

Kudos: 54

[1]

24 Dec 2024, 01:05

Kudos

Bookmarks

Quote:

A tech startup has recently expanded its team to 32 employees, focusing on two main areas: artificial intelligence (AI) and cybersecurity. Here's the team composition:

75% of the employees work in AI, while the remaining 25% work in cybersecurity. There is no overlap between these departments.
In the cybersecurity team, the ratio of employees with a master's degree to those without is 3:5.
In the AI team, the ratio of employees with a master's degree to those without is 5:3.

Employees in AI= 3/4*32=24
Employees in Cybersec= 8

Employees with master degrees in AI= 3/8*24=9
Employees without master degrees in AI= 15

Employees with master degrees in Cybersec= 5/8*8=5
Employees without master degrees in Cybersec= 3/8*8=3

Employees with master's degree= 14 (p)
Employees without masters degree= 18 (q)

Ratio= 7:9

Answer= 7,9 IMO

Invincible_147

Joined: 29 Sep 2023

Last visit: 17 Apr 2026

Posts: 72

Own Kudos:

[1]

Given Kudos: 169

GMAT Focus 1: 575 Q77 V81 DI78 Verified score

Posts: 72

Kudos: 64

[1]

24 Dec 2024, 01:19

Kudos

Bookmarks

Hi All,

No of AI employees = 24,

No of Cyber security emps= 8

People with masters in cyber security= 8*(3/8)=3 then withuout masters will be 5.

People with masters in in Ai = 24*(5/8)=15 then without masters will be 9.

There fore total people with masters 15+3 and without 5+9

hence ratio of p:q will be 18:14--> 9:7

Navya442001

Joined: 26 Jan 2024

Last visit: 17 Nov 2025

Posts: 67

Own Kudos:

[1]

Given Kudos: 1

Products:

Posts: 67

Kudos: 72

[1]

24 Dec 2024, 02:16

Kudos

Bookmarks

Bunuel

12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes

This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

A tech startup has recently expanded its team to 32 employees, focusing on two main areas: artificial intelligence (AI) and cybersecurity. Here's the team composition:

75% of the employees work in AI, while the remaining 25% work in cybersecurity. There is no overlap between these departments.
In the cybersecurity team, the ratio of employees with a master's degree to those without is 3:5.
In the AI team, the ratio of employees with a master's degree to those without is 5:3.

Step 1: Calculate the number of employees in AI and cybersecurity
The total number of employees is 32. Given that:

75% work in AI: 0.75×32=24 employees.
25% work in cybersecurity: 0.25×32=8 employees.

Step 2: Determine master's degree ratios in each department

In cybersecurity, the ratio of employees with a master's degree to those without is 3:5, so the total of 8 employees can be divided as:
With master’s: 3 and without master’s: 5
In AI, the ratio of employees with a master's degree to those without is 5:3, so the 24 employees can be divided as:
With master’s: 15 and without master’s: 9

Step 3: Combine the totals

Total employees with a master's degree: 3+15=18
Total employees without a master's degree: 5+9=14

The overall ratio of employees with a master's degree to those without is:
Master’s:Non-Master’s=18:14=9:7

Step 4: Select values for p and q
From the result 9:7, the possible values are:

missionmba2025

Joined: 07 May 2023

Last visit: 07 Sep 2025

Posts: 341

Own Kudos:

430

[1]

Given Kudos: 52

Location: India

Posts: 341

Kudos: 430

[1]

24 Dec 2024, 02:40

Kudos

Bookmarks

Bunuel

12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes

This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

A tech startup has recently expanded its team to 32 employees, focusing on two main areas: artificial intelligence (AI) and cybersecurity. Here's the team composition:

75% of the employees work in AI, while the remaining 25% work in cybersecurity. There is no overlap between these departments.
In the cybersecurity team, the ratio of employees with a master's degree to those without is 3:5.
In the AI team, the ratio of employees with a master's degree to those without is 5:3.

AI = 3/4 * 32 = 24
CS = 1/4 * 32 = 8

CS
* Masters = 3/8 * 8 = 3
* Non Masters = 8 - 3 = 5

AI
* Masters = 5/8 * 24 = 15
* Non Masters = 24 - 15 = 9

Total Masters = 15 + 3 = 18
Total Non Masters = 9 + 5 = 14

p : q = 18 : 14 = 9 : 7

p = 9
q = 7

Suyash1331

Joined: 01 Jul 2023

Last visit: 20 Oct 2025

Posts: 121

Own Kudos:

Given Kudos: 22

Location: India

Schools: IIMA '26 IIM IIM Calcutta '26 Judge '26 ISB '27 Said '27

GMAT Focus 1: 575 Q65 V70 DI70 Verified score

GMAT 1: 250 Q20 V34 Verified score

GPA: 7

Products:

Schools: IIMA '26 IIM IIM Calcutta '26 Judge '26 ISB '27 Said '27

GMAT Focus 1: 575 Q65 V70 DI70 Verified score

GMAT 1: 250 Q20 V34 Verified score

Posts: 121

Kudos: 63

24 Dec 2024, 03:22

Kudos

Bookmarks

Total 32
75% AI = 24

25% CS = 8

Bunuel

12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes

This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

A tech startup has recently expanded its team to 32 employees, focusing on two main areas: artificial intelligence (AI) and cybersecurity. Here's the team composition:

75% of the employees work in AI, while the remaining 25% work in cybersecurity. There is no overlap between these departments.
In the cybersecurity team, the ratio of employees with a master's degree to those without is 3:5.
In the AI team, the ratio of employees with a master's degree to those without is 5:3.

twinkle2311

Joined: 05 Nov 2021

Last visit: 14 Apr 2026

Posts: 150

Own Kudos:

178

[1]

Given Kudos: 21

Location: India

Concentration: Finance, Real Estate

Schools: ISB '26 Wharton '26

GPA: 9.041

Products:

Schools: ISB '26 Wharton '26

Posts: 150

Kudos: 178

[1]

24 Dec 2024, 03:23

Kudos

Bookmarks

We can breakdown the given info as follows:

Given	With a master's	Without a master's	Total
Artificial Intelligence	15	9	24
Cyber Security	3	5	8
Total	18	14	32

Based upon the given info ,
P (employees with a master's degree) / Q (employees without a master's degree) = 18/14 => 9/7

So , p= 9 and q=7

Karanjotsingh

Joined: 18 Feb 2024

Last visit: 03 Oct 2025

Posts: 139

Own Kudos:

[1]

Given Kudos: 362

Location: India

Concentration: Finance, Entrepreneurship

Posts: 139

Kudos: 95

[1]

24 Dec 2024, 05:00

Kudos

Bookmarks

Total Employees:

Total: 32 employees

Team Breakdown:

AI Team:
- 75% of 32: 0.75 × 32 = 24 employees
- Ratio (Masters: Without): 5:3
  - Masters: 5/8 × 24 = 15 employees
  - Without Masters: 38 × 24 = 9 employees
Cybersecurity Team:
- 25% of 32: 0.25 × 32 = 8 employees
- Ratio (Masters: Without): 3:5
  - Masters: 38 × 8 = 3 employees
  - Without Masters: 58 × 8 = 5 employees

Total Across Both Teams:

Masters Degrees: 15 (AI) + 3 (Cybersecurity) = 18 employees
Without Masters Degrees: 9 (AI) + 5 (Cybersecurity) = 14 employees

Overall Ratio (Masters: Without):

Ratio: 18:14
Simplified: Divide both numbers by 2 → 9:7

Final Answer:

p = 9
q = 7

Selections:

p	q
9	7

Prakhar9802

Joined: 07 Aug 2023

Last visit: 15 Apr 2026

Posts: 63

Own Kudos:

[1]

Given Kudos: 1

Posts: 63

Kudos: 68

[1]

24 Dec 2024, 05:40

Kudos

Bookmarks

Total employees = 32
AI = 75% of 32 = 24
Cybersecurity (CS) = 8

Master’s degree to without in CS = 3:5
That means, 3 with master’s degree and 5 without.

Master’s degree to without in AI = 5:3 = 5x:3x
8x=24
X=3

Therefore, 15 with degree and 9 without.

Total with master’s degree = 15+3 =18
Total without master’s degree = 9+5=14

18/14
9/7

FINAL ANSWER - P = 9, Q = 7

Bunuel

12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes

This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

A tech startup has recently expanded its team to 32 employees, focusing on two main areas: artificial intelligence (AI) and cybersecurity. Here's the team composition:

75% of the employees work in AI, while the remaining 25% work in cybersecurity. There is no overlap between these departments.
In the cybersecurity team, the ratio of employees with a master's degree to those without is 3:5.
In the AI team, the ratio of employees with a master's degree to those without is 5:3.

MinhChau789

Joined: 18 Aug 2023

Last visit: 12 Apr 2026

Posts: 132

Own Kudos:

140

[1]

Given Kudos: 2

Posts: 132

Kudos: 140

[1]

24 Dec 2024, 05:46

Kudos

Bookmarks

Let the number of employees in Cybersecurity with Masters and without Masters be a & b
Let the number of employees in AI with Masters and without Masters be c & d.

We have the following matrix:

	AI	Cyber	Total
Masters	c	a
non Masters	d	b
	24	8	32

So c + d =24; a + b = 8 (1)

We also have a/b = 3/5, c/d = 5/3. (2)

From (1) and (2), we have a = 3, b = 5, c = 15, d = 9.

So p/q = 18/14 = 9/7.
Answer: p = 9. q = 7

andreagonzalez2k

Joined: 15 Feb 2021

Last visit: 26 Jul 2025

Posts: 308

Own Kudos:

503

[1]

Given Kudos: 14

Posts: 308

Kudos: 503

[1]

24 Dec 2024, 05:57

Kudos

Bookmarks

total 32
AI=24 (15 master, 9 no master)
C=8 (3 master, 5 no master)

p/q=(15+3)/(9+5)=18/14=9/7

p=9 and q=7

D3N0

Joined: 21 Jan 2015

Last visit: 19 Mar 2026

Posts: 585

Own Kudos:

607

[1]

Given Kudos: 132

Location: India

Concentration: Operations, Technology

Schools: Smeal'21 (WD) Arizona State'21 (A$) Simon '21 (WD)

GMAT 1: 620 Q48 V28 Verified score

GMAT 2: 690 Q49 V35 Verified score

WE:Operations (Retail: E-commerce)

Products:

Schools: Smeal'21 (WD) Arizona State'21 (A$) Simon '21 (WD)

GMAT 2: 690 Q49 V35 Verified score

Posts: 585

Kudos: 607

[1]

24 Dec 2024, 06:03

Kudos

Bookmarks

Bunuel

A tech startup has recently expanded its team to 32 employees, focusing on two main areas: artificial intelligence (AI) and cybersecurity. Here's the team composition:

75% of the employees work in AI, while the remaining 25% work in cybersecurity. There is no overlap between these departments.
In the cybersecurity team, the ratio of employees with a master's degree to those without is 3:5.
In the AI team, the ratio of employees with a master's degree to those without is 5:3.

Given : Total = 32
75% in AI and 25% in CC so A = 24 , C =8
In C = 8 --> Cm : Cw :: 3 : 5 that means ==> Cm = 3 , Cw = 5
In A = 24 --> Am : Aw :: 5 : 3 ==> Am =15 , Aw = 9

p/q = Masters/Withoout = Am + Cm / Ao + Co
= 18 /14 = 9/7
p=9
q = 7

LastHero

Joined: 15 Dec 2024

Last visit: 12 Dec 2025

Posts: 134

Own Kudos:

147

[1]

Given Kudos: 1

Posts: 134

Kudos: 147

[1]

24 Dec 2024, 06:08

Kudos

Bookmarks

32 employees
In AI 75% of 32 = 24 employees
master/no master = 5/3 = 15/9

In cybersecurity 25% of 32 = 8 employees
master/no master = 3/5

p/q=18/14=9/7

Answers p=9, q=7

Shruuuu

Joined: 21 Nov 2023

Last visit: 19 Jan 2026

Posts: 70

Own Kudos:

[1]

Given Kudos: 99

Location: India

Schools: ISB '27 (A)

GMAT Focus 1: 655 Q83 V86 DI78 Verified score

Schools: ISB '27 (A)

GMAT Focus 1: 655 Q83 V86 DI78 Verified score

Posts: 70

Kudos: 95

[1]

24 Dec 2024, 06:21

Kudos

Bookmarks

From the given information, we get
Employees in AI = 32 * 3/4 = 24
Employees in Cybersecurity = 32 * 1/4 = 8

Masters in AI = 5/8 * 24 = 15
No Masters in AI = 3/8 * 24 = 9

Masters in Cybersecurity = 3/8 * 8 = 3
No Masters in Cybersecurity = 5/8 * 8 = 5

Hence, Masters to No Masters = (15 + 3)/(9+5) = 18 / 14 = 9 / 7

p = 9 & q=7

Bunuel

12 Days of Christmas 2024 - 2025 Competition with $40,000 of Prizes

This question was provided by GMAT Club
for the 12 Days of Christmas Competition

Win $40,000 in prizes: Courses, Tests & more

A tech startup has recently expanded its team to 32 employees, focusing on two main areas: artificial intelligence (AI) and cybersecurity. Here's the team composition:

75% of the employees work in AI, while the remaining 25% work in cybersecurity. There is no overlap between these departments.
In the cybersecurity team, the ratio of employees with a master's degree to those without is 3:5.
In the AI team, the ratio of employees with a master's degree to those without is 5:3.

Nikhil17bhatt

Joined: 25 Aug 2018

Last visit: 31 May 2025

Posts: 67

Own Kudos:

[1]

Given Kudos: 14

Posts: 67

Kudos: 75

[1]

24 Dec 2024, 06:38

Kudos

Bookmarks

IMO
• For p: 9
• For q: 7

Step-by-Step Solution:
1. Calculate the number of employees in each department:
• Total employees: 32
• Employees in AI: 0.75×32=24
• Employees in cybersecurity: 0.25×32=8
2. Determine the number of employees with and without a master's degree in each department:
Cybersecurity:
• Ratio of employees with a master's degree to those without is 3:5.
• Let x be the number of employees with a master's degree in cybersecurity.
• Then, the number of employees without a master's degree in cybersecurity is 5/3x.
• Total employees in cybersecurity: x+5/3x=8
• Solving for x: X=3
• Employees with a master's degree in cybersecurity: 3
• Employees without a master's degree in cybersecurity: 8−3=5
AI:
• Ratio of employees with a master's degree to those without is 5:3.
• Let yy be the number of employees with a master's degree in AI.
• Then, the number of employees without a master's degree in AI is 3/5.
• Total employees in AI: y+3/5y=24
• Solving for y: y=15
• Employees with a master's degree in AI: 15
• Employees without a master's degree in AI: 24−15=9
3. Calculate the overall ratio of employees with a master's degree to those without:
• Total employees with a master's degree: 3+15=18
• Total employees without a master's degree: 5+9=14
• Ratio of employees with a master's degree to those without: 18:14
• Simplify the ratio:18/14=9/7