College students, Length of intergers

This topic has expert replies
Source: — Problem Solving |

Legendary Member
Posts: 1448
Joined: Tue May 17, 2011 9:55 am
Location: India
Thanked: 375 times
Followed by:53 members

by Frankenstein » Thu Jun 16, 2011 9:05 pm
Hi,
Q1)If y students are accepted, only 0.8y will attend the college
So, if 0.8y = x, then y = 1.25x

Hence, D

Q2)n is two-digit number. So, n<100
smallest prime factor is 2
So, numbers with length 6 can be:
2^6 = 64
2^5*3= 96
Every other number with length 6 will be greater than 100

Hence, C
Cheers!

Things are not what they appear to be... nor are they otherwise

User avatar
Master | Next Rank: 500 Posts
Posts: 143
Joined: Sat Nov 06, 2010 9:06 pm
Thanked: 10 times
Followed by:1 members

by edvhou812 » Sat Jun 18, 2011 5:09 pm
7)

2^6 = 64
Used trial and error until I found that 2^4+3^1 96

Two numbers - C

8)

Picked the number 100 as my target enrollment

x - .2x = 100
x = 125

We will want to accept 125% of our target enrollment. - D