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
P Value
This topic has expert replies
- cans
- Legendary Member
- Posts: 1309
- Joined: Mon Apr 04, 2011 5:34 am
- Location: India
- Thanked: 310 times
- Followed by:123 members
- GMAT Score:750
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
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!!
Contact me about long distance tutoring!
[email protected]
Cans!!