P Value

This topic has expert replies
Senior | Next Rank: 100 Posts
Posts: 49
Joined: Sun May 08, 2011 4:33 pm

P Value

by Ashetty » Sun Sep 18, 2011 5:16 pm
For every positive even integer n, the function h(n) is defined to be the product of all the even integer from 2 to n , inclusive, if P is the smallest prime factor of h(100)+1, then P is.

a)Between 2 and 10
b)Between 10 and 20
c)Between 20 and 30
d)Between 30 and 40
e)Greater than 40

Ans: E

User avatar
Legendary Member
Posts: 1309
Joined: Mon Apr 04, 2011 5:34 am
Location: India
Thanked: 310 times
Followed by:123 members
GMAT Score:750

by cans » Sun Sep 18, 2011 9:54 pm
h(n)=2*4*6...*n
h(100)+ 1=2*4*6*8*...100 = 2^50(1*2*3*..*50) +1
p is prime factor and thus p divides h(100)+1.
thus p>50..
IMO E
If my post helped you- let me know by pushing the thanks button ;)

Contact me about long distance tutoring!
[email protected]

Cans!!