|
|
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.
11 Jan 2026, 22:00
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
46% (02:05) correct
54%
(02:13)
wrong
based on 115
sessions
History
Date
Time
Result
Not Attempted Yet
A and B are integers greater than 1 and A^3 x B is a multiple of 10. Which of the following must be a multiple of 8,000 ?
A. A*B^3
B. A^3 * B^3
C. A^3 * B^6
D. A^6 * B^3
E. A^6 * B^6
A. A*B^3
B. A^3 * B^3
C. A^3 * B^6
D. A^6 * B^3
E. A^6 * B^6
11 Jan 2026, 22:50
Kudos
Bookmarks
8000 = 2^6 * 5^3
for a multiple of 10 we are getting 2^1 and 5^1 from either A or B. Since we need at least 6 2s - A^6 B^6 is the only option that satisfies that.
E
for a multiple of 10 we are getting 2^1 and 5^1 from either A or B. Since we need at least 6 2s - A^6 B^6 is the only option that satisfies that.
E
12 Jan 2026, 10:16
Kudos
Bookmarks
ExpertsGlobal5
A and B are greater than 1.
A^3 x B is a multiple of 10 = 2*5*K
case 1: A=2 and B=5
case 2: A=5 and B=2.
Multiple of 8,000 = 2^3 * 100*10 = 2^3 * 5^2 * 2^2 * 2*5 = 2^6 * 5^3
Must be a multiple of 8000.
2^6 * 5^3 = A^6 * B^3
A. A*B^3.
This cannot be the answer.
B. A^3 * B^3.
But, we have a power of 6. Hence, wrong.
C. A^3 * B^6.
B can be 2 or 5. Hence, Wrong.
D. A^6 * B^3.
A can be 2 or 5. Hence, Wrong.
E. A^6 * B^6
Even with A or B being either of 2 or 5, will definitely be a multiple of 8000.
Hence, Option E
