[GMAT math practice question]
693 and n have the same prime factors and n is a multiple of 693 that is greater than 693. What is the smallest possible value of n/693?
A. 2
B. 3
C. 5
D. 7
E. 11
Target Test Prep is 20% off right now!
Use code FLASH20
Available with Beat the GMAT members only code
MORE DETAILS
693 and n have the same prime factors and n is a multiple of
This topic has expert replies
-
Max@Math Revolution
- Elite Legendary Member
- Posts: 3991
- Joined: Fri Jul 24, 2015 2:28 am
- Location: Las Vegas, USA
- Thanked: 19 times
- Followed by:37 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
Math Revolution
The World's Most "Complete" GMAT Math Course!
Score an excellent Q49-51 just like 70% of our students.
[Free] Full on-demand course (7 days) - 100 hours of video lessons, 490 lesson topics, and 2,000 questions.
[Course] Starting $79 for on-demand and $60 for tutoring per hour and $390 only for Live Online.
Email to : [email protected]
-
Max@Math Revolution
- Elite Legendary Member
- Posts: 3991
- Joined: Fri Jul 24, 2015 2:28 am
- Location: Las Vegas, USA
- Thanked: 19 times
- Followed by:37 members
=>
Since 693 = 3^2*7*11, the smallest integer multiple of 693 that is greater than 693 with prime factors 3, 7 and 11 only is n = 693*3.
Thus, n / 693 = ( 693 * 3 ) / 693 = 3.
Therefore, the answer is B.
Answer : B
Since 693 = 3^2*7*11, the smallest integer multiple of 693 that is greater than 693 with prime factors 3, 7 and 11 only is n = 693*3.
Thus, n / 693 = ( 693 * 3 ) / 693 = 3.
Therefore, the answer is B.
Answer : B
Math Revolution
The World's Most "Complete" GMAT Math Course!
Score an excellent Q49-51 just like 70% of our students.
[Free] Full on-demand course (7 days) - 100 hours of video lessons, 490 lesson topics, and 2,000 questions.
[Course] Starting $79 for on-demand and $60 for tutoring per hour and $390 only for Live Online.
Email to : [email protected]
GMAT/MBA Expert
-
Jeff@TargetTestPrep
- GMAT Instructor
- Posts: 1462
- Joined: Thu Apr 09, 2015 9:34 am
- Location: New York, NY
- Thanked: 39 times
- Followed by:22 members
Let us express 693 as a product of prime powers: 693 = 9 x 77 = 3^2 x 7 x 11. The prime factors of 693 are 3, 7 and 11. Since n has the same prime factors as 693, n also has prime factors of 3, 7, 11. Since n is a multiple of 693 that is greater than 693, the smallest value that n can be is 3 x 693 and thus the smallest possible value of n/693 is (3 x 693)/693 = 3.
693 and n have the same prime factors and n is a multiple of 693 that is greater than 693. What is the smallest possible value of n/693?
A. 2
B. 3
C. 5
D. 7
E. 11
Answer: B
Jeffrey Miller
Head of GMAT Instruction
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews
