2 questions ...arithmetic and percentage ! thanks :)

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charmaine: Senior | Next Rank: 100 Posts; Posts: 71; Joined: Sun May 18, 2008 11:04 pm; Thanked: 1 times

2 questions ...arithmetic and percentage ! thanks :)

by charmaine » Sun Sep 07, 2008 5:18 pm

if n is the product of the integers from 1 to 20 inclusive, what is the greatest integer k for which 2^k is a factor of n ?

a. 10 b.12 c.15 d.18. e.20

ans. d

how do i get the answer ?

in a corportation , 50 percent of the male employees and 40 percent of the female employees are at least 35 yrs old. if 42 percent of all the employees are at least 35, what fraction of the employees in the corporation are females ?
ans .4/5

thanks;)

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Source: Beat The GMAT — Problem Solving | Sun Sep 07, 2008 5:18 pm

parallel_chase: Legendary Member; Posts: 1153; Joined: Wed Jun 20, 2007 6:21 am; Thanked: 146 times; Followed by:2 members

by parallel_chase » Mon Sep 08, 2008 1:34 am

charmaine wrote:if n is the product of the integers from 1 to 20 inclusive, what is the greatest integer k for which 2^k is a factor of n ?

a. 10 b.12 c.15 d.18. e.20

ans. d

There are 20 integers from 1-20 inclusive.

we simply need to find the factors of 2,4,8,16 from 1-20

20/2 = 10
20/4 = 5
20/8 = 2
20/16 =1

10+5+2+1 = 18

Hence D is the answer.

how do i get the answer ?

in a corportation , 50 percent of the male employees and 40 percent of the female employees are at least 35 yrs old. if 42 percent of all the employees are at least 35, what fraction of the employees in the corporation are females ?
ans .4/5

thanks;)

50%M + 40%F = 42%(M+F)

.5M + .4F = .42(M+F)

.5M + .4F = .42M + .42F

.08M = .02F

M/F = 1/4

F=4
M+F = 1+4 = 5

FEMALE / TOTAL = 4/5

Hope this helps.