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.
Sep 2107:00 PM EDT
-10:00 PM EDT
Boost your GMAT score in less than one month in a live online class + 6 months access to TTP OnDemand video courses included!
16 Sep 2014, 01:07
Kudos
Bookmarks
Which of the following numbers is equal to \(8!\) ?
A. 38,910
B. 39,340
C. 39,980
D. 40,320
E. 40,450
A. 38,910
B. 39,340
C. 39,980
D. 40,320
E. 40,450
16 Sep 2014, 01:07
Kudos
Bookmarks
Official Solution:
Which of the following numbers is equal to \(8!\) ?
A. 38,910
B. 39,340
C. 39,980
D. 40,320
E. 40,450
There are several ways to approach this problem.
One method is to note that \(6! = 720\). Therefore, \(8! = 720*7*8 = 720*56\). This results in a number with the last two digits of 20. Among the options, only D has these last two digits.
Another approach involves the divisibility rule for 8: a number is divisible by 8 if its last three digits are also divisible by 8. Once again, only option D satisfies this condition.
Yet another approach. \(8!\) is divisible by both 3 and 4. Of the options, only A and D are divisible by 3. However, only D is divisible by 4, since a number is divisible by 4 if its last two digits are divisible by 4.
Answer: D
Which of the following numbers is equal to \(8!\) ?
A. 38,910
B. 39,340
C. 39,980
D. 40,320
E. 40,450
There are several ways to approach this problem.
One method is to note that \(6! = 720\). Therefore, \(8! = 720*7*8 = 720*56\). This results in a number with the last two digits of 20. Among the options, only D has these last two digits.
Another approach involves the divisibility rule for 8: a number is divisible by 8 if its last three digits are also divisible by 8. Once again, only option D satisfies this condition.
Yet another approach. \(8!\) is divisible by both 3 and 4. Of the options, only A and D are divisible by 3. However, only D is divisible by 4, since a number is divisible by 4 if its last two digits are divisible by 4.
Answer: D
aashishagarwal2
Joined: 04 Jul 2017
Last visit: 12 May 2023
Posts: 44
Own Kudos:
Given Kudos: 104
Location: India
Concentration: Marketing, General Management
Schools: CBS '20 Sloan '20 Johnson '20 ISB '19 Insead Sept'18 Stanford '20 Tuck '20 Yale '20 Wharton '20 HBS '20 INSEAD Jan '19
GPA: 1
WE:Analyst (Consulting)
Schools: CBS '20 Sloan '20 Johnson '20 ISB '19 Insead Sept'18 Stanford '20 Tuck '20 Yale '20 Wharton '20 HBS '20 INSEAD Jan '19
Posts: 44
Kudos:
63
30 Sep 2017, 03:07
Kudos
Bookmarks
Hi Bunuel, Does this work with all numbers? Like is a number divisible 4 if its last 3 digits are divisible by 4? Is it a rule? Thanks.
