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I need help with some Math questions!!!!!!!

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I need help with some Math questions!!!!!!! [#permalink] New post 04 Apr 2007, 15:52
Hi everyone,

I feel stupid to ask you too many questions, but I think it is good idea if I ask these questions and others can learn too

1) The y-intercept of a line L is 4. If the slope of L is negative, which of the following could be the x-intercept of L?

I)-1
II)0
III)6

a)I only
b)II only
c)III only
d)I and II
e)I and III


2) A circular cloth with a diameter of 20 inches is placed on a circular tray with a diameter of 24 inches. What fraction of the tray’s surface is NOT covered by the cloth?

a)1 /6
b)1/5
c)11/36
d)25/36
e)5/6



3) For any positive integer n, the length of n is defined as the number of prime factors whose product is n. For example, the length of 75 is 3, since 75 = 3 * 5 * 5. How many two-digit positive integers have length 6?

a)None
b)One
c)Two
d)Three
e)Four

4) Two members of a club are to be selected to represent the club at a national meeting. If there are 190 different possible selections of the 2 members, how many members does the club have?

a)20
b)27
c)40
d)57
e)95


5) Bobby bought two shares of stock, which he sold for $96 each. If he had a profit of 20 percent on the sale of one of the shares but a loss of 20 percent on the sale of the other share, then on the sale of both shares combined Bobby had

a)a profit of $10
b)a profit of $8
c)a loss of $8
d)a loss of $10
e)neither a profit nor a loss
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 [#permalink] New post 04 Apr 2007, 15:57
Never feel ashamed to ask questions. Thats the first step to success.
:-D

1) Since y-intercept is 4 the cordiantes are (0,4) and the other point is (x,0)

Since slope is -ve 4-0/(0-x) should be -ve so x should be +ve

C should be it

2) radius are 10 and 12 respectively so areas are 100PI and 144PI

so 44PI/144Pi = 11/36

C

3) I think only 2^6 is only one so ONE

B

4) nC2 = 190 ==> n(n-1) = 380 = 20*19

So n=20

5) for any 2 aarticles of same price x and one is sold at p% proft and other at p% loss then overall transaction is a LOSS of p^2/100 %

here it is 4% loss so should be C
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 [#permalink] New post 05 Apr 2007, 17:43
trivikram wrote:

3) I think only 2^6 is only one so ONE

B



There will be one more number 96 = 2 *2*2*2*2*3 which has 6 factors.
Answer should be 'C'
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Re: I need help with some Math questions!!!!!!! [#permalink] New post 05 Apr 2007, 20:55
GMAT_700 wrote:
1) The y-intercept of a line L is 4. If the slope of L is negative, which of the following could be the x-intercept of L?

I)-1
II)0
III)6

a)I only
b)II only
c)III only
d)I and II
e)I and III


A ... ? quick visualization .. ?


GMAT_700 wrote:
2) A circular cloth with a diameter of 20 inches is placed on a circular tray with a diameter of 24 inches. What fraction of the tray’s surface is NOT covered by the cloth?

a)1 /6
b)1/5
c)11/36
d)25/36
e)5/6


simple !
area = pie.r^2

not covered = pie.12^2 - pie.10^2
total=pie.12^2

fraction = 44/(12*12) = 11/36
C

GMAT_700 wrote:
3) For any positive integer n, the length of n is defined as the number of prime factors whose product is n. For example, the length of 75 is 3, since 75 = 3 * 5 * 5. How many two-digit positive integers have length 6?

a)None
b)One
c)Two
d)Three
e)Four


Start with 2 to check the lowest number with length 6,
2*2*2*2*2*2 = 64

substitute one two with 3, and product becomes 96

substitute two 1s with two 3s, prod becomes more than 2 digits

answer = 2 numbers (64 and 96) C

GMAT_700 wrote:
4) Two members of a club are to be selected to represent the club at a national meeting. If there are 190 different possible selections of the 2 members, how many members does the club have?

a)20
b)27
c)40
d)57
e)95

Dont know pom and com :( but I think answer should be xC2 = 190.

GMAT_700 wrote:
5) Bobby bought two shares of stock, which he sold for $96 each. If he had a profit of 20 percent on the sale of one of the shares but a loss of 20 percent on the sale of the other share, then on the sale of both shares combined Bobby had

a)a profit of $10
b)a profit of $8
c)a loss of $8
d)a loss of $10
e)neither a profit nor a loss
VP
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Posts: 1390
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GMAT Tests User
 [#permalink] New post 06 Apr 2007, 04:13
vshaunak@gmail.com wrote:
trivikram wrote:

3) I think only 2^6 is only one so ONE

B



There will be one more number 96 = 2 *2*2*2*2*3 which has 6 factors.
Answer should be 'C'


yikes...overlooked that :oops:
  [#permalink] 06 Apr 2007, 04:13
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