BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

number

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Legendary Member
Posts: 1022
Joined: Mon Jul 20, 2009 11:49 pm
Location: Gandhinagar
Thanked: 41 times
Followed by:2 members

number

by shashank.ism » Tue Feb 09, 2010 1:14 pm
An 'n' digit number is formed using the digits 3, 4, 5 and 6 where repetition of the digits is allowed. If the number of all such possible 'n' digits numbers exceeds 10000, then what is the minimum value of n?


5
6
7
8
9
My Websites:
www.mba.webmaggu.com - India's social Network for MBA Aspirants

www.deal.webmaggu.com -India's online discount, coupon, free stuff informer.

www.dictionary.webmaggu.com - A compact free online dictionary with images.

Nothing is Impossible, even Impossible says I'm possible.
Top
Source: — Problem Solving |
User avatar
Junior | Next Rank: 30 Posts
Posts: 26
Joined: Sat Oct 31, 2009 10:52 am
Location: rourkela
Thanked: 1 times

by sanjayism » Thu Feb 11, 2010 3:04 am
4^n > 10000

minimum value of n =7

C
kumar sanjay
Top
User avatar
Legendary Member
Posts: 1022
Joined: Mon Jul 20, 2009 11:49 pm
Location: Gandhinagar
Thanked: 41 times
Followed by:2 members

by shashank.ism » Mon Feb 15, 2010 12:14 pm
sanjayism wrote:4^n > 10000

minimum value of n =7

C
Yeah that is correct...
My Websites:
www.mba.webmaggu.com - India's social Network for MBA Aspirants

www.deal.webmaggu.com -India's online discount, coupon, free stuff informer.

www.dictionary.webmaggu.com - A compact free online dictionary with images.

Nothing is Impossible, even Impossible says I'm possible.
Top
User avatar
Legendary Member
Posts: 777
Joined: Fri Jan 01, 2010 4:02 am
Location: Mumbai, India
Thanked: 117 times
Followed by:47 members

by komal » Wed Feb 17, 2010 11:09 am
shashank.ism wrote:An 'n' digit number is formed using the digits 3, 4, 5 and 6 where repetition of the digits is allowed. If the number of all such possible 'n' digits numbers exceeds 10000, then what is the minimum value of n?


5
6
7
8
9
Since repetition of digits is allowed the total number of n digit numbers that can be formed is 4n.
46 = 212
= 4096 < 10000
47 = 214 = 16384 > 10000
∴ n = 7, is the minimum value for which 4n is greater than 10000.
Top
Post new topic Post Reply
• Page 1 of 1