Events & Promotions
|
|
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.
Apr 2808:00 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.
06 Oct 2022, 07:42
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
60% (01:25) correct
40%
(01:48)
wrong
based on 179
sessions
History
Date
Time
Result
Not Attempted Yet
How many factors of \(2^3 × 3^2 × 5^5\) are multiples of 12?
A. 5
B. 12
C. 20
D. 24
E. 30
A. 5
B. 12
C. 20
D. 24
E. 30
06 Oct 2022, 07:44
Kudos
Bookmarks
This is our solution to this question.
Solution:
Step 1: Understand Question Stem:
We are asked the number of factors of 2^3×3^2×5^5 that are multiples of 12
Step 2: Define Methodology:
Step 3: Calculate the Final Answer:
Hence the right answer is Option D.
Note:
This question is created to test the knowledge related to the number of factors of a number. We have published an article can on the same. You can view it using this LINK
Solution:
Step 1: Understand Question Stem:
We are asked the number of factors of 2^3×3^2×5^5 that are multiples of 12
Step 2: Define Methodology:
- Firstly, we have to express the number as \(12 × Something\).
To do that we can divide the given number \(2^3×3^2×5^5\) by 12
- We will get \( \frac{(2^3×3^2×5^5)}{12}=\frac{(2^3×3^2×5^5)}{(2^2×3)}=2^1×3^1×5^5 \)
Now, we just need to find the total number of factors of \(2×3×5^5\) to find out our answer.
- The logic is simple because every factor of \(2×3×5^5\) will eventually be multiplied by 12 and become a multiple of 12 and the factor of the original number \(2^3×3^2×5^5\).
Step 3: Calculate the Final Answer:
- We have \(\frac{(2^3×3^2×5^5)}{12}=\frac{(2^3×3^2×5^5)}{(2^2×3)}=2^1×3^1×5^5\)
Total number of factors of \(2^1×3^1×5^5\)\(=(1+1)×(1+1)×(5+1)=2×2×6=24 \)
Hence the right answer is Option D.
Note:
This question is created to test the knowledge related to the number of factors of a number. We have published an article can on the same. You can view it using this LINK
General Discussion
25 Feb 2026, 19:52
Kudos
Bookmarks
Automated notice from GMAT Club BumpBot:
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.
This post was generated automatically.
