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

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Joined: 13 Mar 2007
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I need help with some Math questions!!!!!!! [#permalink]  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 trayâ€™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 VP Joined: 28 Mar 2006 Posts: 1384 Followers: 2 Kudos [?]: 19 [0], given: 0 [#permalink] 04 Apr 2007, 15:57 Never feel ashamed to ask questions. Thats the first step to success. 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 Director Joined: 14 Jan 2007 Posts: 780 Followers: 2 Kudos [?]: 71 [0], given: 0 [#permalink] 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' Intern Joined: 04 May 2004 Posts: 48 Location: India Followers: 0 Kudos [?]: 20 [0], given: 0 Re: I need help with some Math questions!!!!!!! [#permalink] 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 trayâ€™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
Joined: 28 Mar 2006
Posts: 1384
Followers: 2

Kudos [?]: 19 [0], given: 0

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.

yikes...overlooked that
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