by: Darina16
26 mins
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
68% (01:44) correct
32%
(02:04)
wrong
based on 139
sessions
History
Date
Time
Result
Not Attempted Yet
Arville owns three times as many screwdrivers as he does hammers and pliers put together. The number of hammers he owns is how many times the number of pliers he owns?
(1) The ratio of screwdrivers to hammers owned by Arville is 21 : 4.
(2) The ratio of screwdrivers to pliers owned by Arville is 7 : 1.
_________________
(1) The ratio of screwdrivers to hammers owned by Arville is 21 : 4.
(2) The ratio of screwdrivers to pliers owned by Arville is 7 : 1.
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
_________________
New to the GMAT Club?
- • Questions: Question Bank | Bunuel's Signature Collection
• Tests: GMAT Club Tests | Forum Quiz
• Guides: Quantitative | Critical Reasoning | Reading Comprehension | Ultimate Quant Guide | All You Need for Quant
• Rules: Quantitative | Verbal
bhargavhhhhhhhh
Joined: 06 Jan 2025
Last visit: 30 Dec 2025
Posts: 346
Location: United States (NY)
Concentration: Entrepreneurship, Leadership
GPA: 9
WE:Advertising (Computer Hardware)
Posts: 346
Let S = number of screwdrivers, H = number of hammers, P = number of pliers.
From the question:
S = 3(H + P)
Statement (1):
S/H = 21/4 → S = (21/4) * H.
Substitute into S = 3(H + P):
(21/4) * H = 3(H + P).
Simplify:
21H = 12(H + P) → 21H = 12H + 12P → 9H = 12P → H = (4/3) * P.
So, the number of hammers is 4/3 times the number of pliers.
Statement (1) alone is sufficient.
Statement (2):
S/P = 7/1 → S = 7 * P.
Substitute into S = 3(H + P):
7P = 3(H + P) → 7P = 3H + 3P → 4P = 3H → H = (4/3) * P.
So, the number of hammers is 4/3 times the number of pliers.
Statement (2) alone is also sufficient.
Conclusion:
Both statements are sufficient.
Answer: (D)
From the question:
S = 3(H + P)
Statement (1):
S/H = 21/4 → S = (21/4) * H.
Substitute into S = 3(H + P):
(21/4) * H = 3(H + P).
Simplify:
21H = 12(H + P) → 21H = 12H + 12P → 9H = 12P → H = (4/3) * P.
So, the number of hammers is 4/3 times the number of pliers.
Statement (1) alone is sufficient.
Statement (2):
S/P = 7/1 → S = 7 * P.
Substitute into S = 3(H + P):
7P = 3(H + P) → 7P = 3H + 3P → 4P = 3H → H = (4/3) * P.
So, the number of hammers is 4/3 times the number of pliers.
Statement (2) alone is also sufficient.
Conclusion:
Both statements are sufficient.
Answer: (D)
Whoisdmx15
Joined: 09 Dec 2024
Last visit: 18 Feb 2026
Posts: 197
Location: India
Concentration: Technology, Statistics
GMAT Focus 1: 725 Q86 V88 DI84 
GPA: 8.2
WE:Manufacturing and Production (Energy)
GMAT Focus 1: 725 Q86 V88 DI84
Posts: 197
Let no. of Hammers= h, Pliers= p and Screwdrivers= S
Given:
s=3*(h+p)- (i)
(1) The ratio of screwdrivers to hammers owned by Arville is 21 : 4.
This gives s/h = 21/4, which gives s= 21/4*h
Hence substituting in (i) becomes
21/4*h =3h+3p
Solving we get h/p = 4/3 (required ratio)
Hence sufficient.
(2) The ratio of screwdrivers to pliers owned by Arville is 7 : 1.
This gives s/p = 7/1, which gives s= 7*p
Hence substituting in (i) becomes
7p =3h+3p
Solving we get h/p = 4/3 (required ratio)
Hence sufficient.
Hence IMO Ans D
Given:
s=3*(h+p)- (i)
(1) The ratio of screwdrivers to hammers owned by Arville is 21 : 4.
This gives s/h = 21/4, which gives s= 21/4*h
Hence substituting in (i) becomes
21/4*h =3h+3p
Solving we get h/p = 4/3 (required ratio)
Hence sufficient.
(2) The ratio of screwdrivers to pliers owned by Arville is 7 : 1.
This gives s/p = 7/1, which gives s= 7*p
Hence substituting in (i) becomes
7p =3h+3p
Solving we get h/p = 4/3 (required ratio)
Hence sufficient.
Hence IMO Ans D
Moderator:
Announcements
How to Tell If Your GMAT Prep Resources Are Actually Helping You
Subscribe to GMAT Club for New Podcast Episodes, Debriefs, & Insightful Sessions on GMAT Preparation
Subscribe to GMAT Club for New Podcast Episodes, Debriefs, & Insightful Sessions on GMAT Preparation
Tuck at Dartmouth
AI at Dartmouth Tuck: How the School Is Preparing Leaders for the Age of Artificial Intelligence
Inside the courses, research, and hands-on learning defining wise, decisive leadership in an AI-driven world.
Read More
Inside the courses, research, and hands-on learning defining wise, decisive leadership in an AI-driven world.
Read More
Top 5 GMAT Debrief Videos
Success stories and strategies from high-scoring candidates.