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Power Prep Test [#permalink] New post 15 Mar 2007, 11:05
Hi Guys,

I just joined the group couple of days ago and I must confess, I've learned alot within a couple of days. You guys ROCK!

I decided to take my first practice test and I didn't do well at all.Its very obvious, I have alot of studying to catch up on. I've attached some of the questions I have wrong. Any help to resolve these questions will be greatly appreciated. I have 6wks before I take the test.

1) FOr every positive even integer n, the function h(n) is defined to be the product of all even integersfrom 2 to n, inclusive. If the smallest prime number of h(100) + 1, then p is
Answer
a)between 2 and 10
b) between 10 and 20
c) between 20 and 30
d) between 30 and 40
e) greater than 40

2)Are x and y both positive?

1) 2x - 2y = 1
2) x/y > 1

3)In a stack board at a lumber yard, the 20th board counting from the top of the stack is immediately below the 16th board counting from the bottom of the stack. How many boards are in the stack?
Answer

a)38
b)36
c)35
d)34
e)32

4) When a certain tree was planted, it was 4ft tall, and the height of the tree increased by a constant amount each year for the next 6yeards. At the end of the 6th year,the tree was 1/5 taller than it was at the end of the 4th year. By how many feet did the height of the tree increase each year?

Answer

a)3/10
b)2/5
c)1/2
d)2/3
e)6/5
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 [#permalink] New post 15 Mar 2007, 14:24
1. h(100)=2*4*6*8*...*100 = 2*(1*2*3*4...*50) or 2*50!...therefore, h(100) is divisible by every integer <= 50...so if we add 1 to the total, p will have to be greater than 50...which is greater than 40...
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 [#permalink] New post 15 Mar 2007, 15:50
Oh, and by the way NigerMan...I know how you feel about having a lot of studying to do. Hang in there...
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 [#permalink] New post 16 Mar 2007, 10:44
Yeap. Its a lot of work ahead. I wish I had focus on GMAT right after college.
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 [#permalink] New post 24 Mar 2007, 16:55
Quote:
h(100)=2*4*6*8*...*100 = 2*(1*2*3*4...*50) or 2*50!


Mavery, I guess it is NOT TRUE because I tried the same with this calculation:

2*4*6*8 = 384

as per your calculation method:

2*4*6*8 = 2*(1*2*3*4) = 2*4! = 2*24 = 48

Logically, your method looks correct but I don't know why I am not able to get both equations equal.

Am I missing something? :(
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GMAT Tests User
 [#permalink] New post 24 Mar 2007, 16:58
I suddenly realize that

2*4*6*8 can not be equal to 2*(1*2*3*4) because it is not plus or minus sign in the bracket...it is * sign and 2*(1*2*3*4) = 2*1*2*3*4

So we are back to the question......Still need some solution :(
  [#permalink] 24 Mar 2007, 16:58
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