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

Redeem

digit appears most of the time

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 am
Location: India
Thanked: 267 times
Followed by:80 members
GMAT Score:760

digit appears most of the time

by sanju09 » Sat Apr 28, 2012 2:55 am
What digit appears most of the time between the numbers 1 and 1,000 (inclusive)?
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4

[spoiler]made up by Sanjeev K Saxena for www.avenuesabroad.com[/spoiler]
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
Source: — Problem Solving |
User avatar
Master | Next Rank: 500 Posts
Posts: 134
Joined: Fri Apr 06, 2012 3:11 am
Thanked: 35 times
Followed by:5 members

by Shalabh's Quants » Sat Apr 28, 2012 4:28 am
sanju09 wrote:What digit appears most of the time between the numbers 1 and 1,000 (inclusive)?
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4

[spoiler]made up by Sanjeev K Saxena for www.avenuesabroad.com[/spoiler]
It should be '1'.

As we can see that 1-1000, inclusive contain all 1 digit, 2 digit & 3 digit nos. plus single 4 digit no. 1000.
The answer will be either '1' or '0'. For 1 digit, 2 digit & 3 digit nos., Digits 1-9 have equal chances of occurrence. There is extra '1' in 1000. Lets analyse '0'.

Any 1 digit, 2 digit & 3 digit no. cannot begin with '0' so '0's occurrence is far less vis-a-vis '1-9' digits. Even if we consider 3 '0s' in 1000, it will be too less. So answer is B.
Shalabh Jain,
e-GMAT Instructor
Top
Post new topic Post Reply
• Page 1 of 1