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GMATPrep Questions that I Need Help With

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Manager
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GMATPrep Questions that I Need Help With [#permalink] New post 17 Apr 2007, 17:53
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Hi everyone,
First of all, I want to thank everyone who have been answering all of my math questions. Most of your answers are very helpful for me.
Now, I post 3 questions that I could not solve and one question that I solved(question 1), but I would like to know if my approach to solve this question is correct.

-------------------------Questions------------------------------------

1)For a finite sequence of nonzero numbers, the number of variations in sign is defined as the number of pairs of consecutive terms of the sequence of which the product of the two consecutive terms is negative. What is the number of variations in sing for the sequence 1, -3, 2, 5, -4, -6?

a)One
b)Two
c)Three
d)Four
e)Five

Here is what I did:
A. (1, -3) -> Negative
B. (2, 5) -> Positive
C. (-4, -5) ->Positive
Then, (A, B) – >Negative
Then (B, C) – >Negative
The answer is Three. Does my solution make sense?


2)According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12-ounce cans of the concentrate are required to prepare 200 6-ounce servings of orange juice?

a)25
b)34
c)50
d)67
e)100


3)If n is multiple of 5 and n = (p^2)*q, where p and q are prime numbers, which of the following must be a multiple of 25?

a)p^2
b)q^2
c)pq
d)(p^2)*(q^2)
e)(p^3)*q

4) An investment of d dollar at k percent simple annual interest yields $600 interest over a 2-year period. In terms of d, what dollar amount invested at the same rate will yield $2400 interest over a 3-year period?

a) 2d/ 3
b) 3d/4
c)4d/3
d)3d/2
e)8d/3
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Director
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Re: GMATPrep Questions that I Need Help With [#permalink] New post 17 Apr 2007, 20:38
GMAT_700 wrote:
1)For a finite sequence of nonzero numbers, the number of variations in sign is defined as the number of pairs of consecutive terms of the sequence of which the product of the two consecutive terms is negative. What is the number of variations in sing for the sequence 1, -3, 2, 5, -4, -6?

a)One
b)Two
c)Three
d)Four
e)Five


integers: 1, 2, -3, -4, 5, -6.

-ve sign consecutive pairs: 2, -3; -4, 5; and 5, -6.
Senior Manager
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 [#permalink] New post 17 Apr 2007, 23:54
2)According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12-ounce cans of the concentrate are required to prepare 200 6-ounce servings of orange juice?

a)25
b)34
c)50
d)67
e)100

2006*12/36*12 = 55 approx. So answere is C. I am not sure about the answere though.

Javed.

Cheers!
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 [#permalink] New post 18 Apr 2007, 00:01
3)If n is multiple of 5 and n = (p^2)*q, where p and q are prime numbers, which of the following must be a multiple of 25?

a)p^2
b)q^2
c)pq
d)(p^2)*(q^2)
e)(p^3)*q


We know that n is a multiple of 5 and n=(p^2)*q. there fore(p^2)*q is also a multiple of 5 and hence either p or q must be 5. and hence (p^2)(q^2) will be the number that is a multiple of 25. Hence the answere is D.

Javed.

Cheers!
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 [#permalink] New post 18 Apr 2007, 00:08
4) An investment of d dollar at k percent simple annual interest yields $600 interest over a 2-year period. In terms of d, what dollar amount invested at the same rate will yield $2400 interest over a 3-year period?

a) 2d/ 3
b) 3d/4
c)4d/3
d)3d/2
e)8d/3

2kd=600 therefore k=300/d is the interest rate per year.
Now let $x be the amount of investment require to yield $ 2400. Therefre 2400=3kx.
x=800/k
sub k=300/d
therefore x= 8d/3. Therefore the answere is E.

Javed.

Cheers!
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Re: GMATPrep Questions that I Need Help With [#permalink] New post 29 Apr 2007, 15:15
Himalayan wrote:
GMAT_700 wrote:
1)For a finite sequence of nonzero numbers, the number of variations in sign is defined as the number of pairs of consecutive terms of the sequence of which the product of the two consecutive terms is negative. What is the number of variations in sing for the sequence 1, -3, 2, 5, -4, -6?

a)One
b)Two
c)Three
d)Four
e)Five


integers: 1, 2, -3, -4, 5, -6.

-ve sign consecutive pairs: 2, -3; -4, 5; and 5, -6.


How did you get this?

I don't understand why the sequence is 1, 2, -3, -4, 5, -6

I got 3 but I just looked at the sequence given:

1, -3, 2, 5, -4, -6

so (1, -3); (-3, 2); (5, -4)
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 [#permalink] New post 30 Apr 2007, 01:49
Q4

(1) d*2k = 600 ====> k=300/d

(2) d1*3k = 2400, inserting k=300/d into equation ===>

d1*3*(300/d) =2400

d1 = 8d/3
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 [#permalink] New post 30 Apr 2007, 06:39
Q2: Ans = 25

ratio is 1:4
  [#permalink] 30 Apr 2007, 06:39
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