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Q1. If K is not equal to 0,1,-1, is 1/k > 0 ? (1) 1/(k-1) [#permalink]
09 Dec 2007, 18:35

Q1. If K is not equal to 0,1,-1, is 1/k > 0 ?

(1) 1/(k-1) > 0
(2) 1/(k+1) >0

Q2. Ramesh bought tickets for a concert at a price of $30 for an adult and at a price of $24 for a child. What is the mean of the cost of tickets?
(1) Ramesh purchased twice as many children's tickets as adult's tickets.
(2) Ramesh purchased 4 tickets.

Q3. Is the integer n a multiple of 15?
(1) n is a multiple of 20.
(2) n+6 is a multiple of 3.

Q4. Whenever Joy gets a restaurant bill between $10 and $99, he calculates amount of tip as 2 times of the tens value of the bill. If amount was between $10 and $99, was amount of tip is greater than 15% of the value f the bill?
(1) Amount of bill was between $10 and $50.
(2) Tip calculated was $8.

Re: Questions from paractice test GMATPREP. [#permalink]
09 Dec 2007, 20:47

Q1. If K is not equal to 0,1,-1, is 1/k > 0 ?

(1) 1/(k-1) > 0
(2) 1/(k+1) >0

A.

Q2. Ramesh bought tickets for a concert at a price of $30 for an adult and at a price of $24 for a child. What is the mean of the cost of tickets?

(1) Ramesh purchased twice as many children's tickets as adult's tickets.
(2) Ramesh purchased 4 tickets.

C.

Q3. Is the integer n a multiple of 15?
(1) n is a multiple of 20.
(2) n+6 is a multiple of 3.

C.

Q4. Whenever Joy gets a restaurant bill between $10 and $99, he calculates amount of tip as 2 times of the tens value of the bill. If amount was between $10 and $99, was amount of tip is greater than 15% of the value f the bill?

(1) Amount of bill was between $10 and $50.
(2) Tip calculated was $8.

Q2. Ramesh bought tickets for a concert at a price of $30 for an adult and at a price of $24 for a child. What is the mean of the cost of tickets?

(1) Ramesh purchased twice as many children's tickets as adult's tickets.
(2) Ramesh purchased 4 tickets.

1 Gives us everything we need to know. If we know the ratio of adult:children tickets we can figure out the average price. In this case it's $26.

Plug in numbers to see for yourself:

(2*24) + (1*30) = 78 and (78/3) = 26
(16*24) + (8*30 = 624 and (624/24) = 26

Doesn't matter how many tickets he buys, as long as the ratio is constant you can find the average.

2. The fact that he purchased 4 tickets doesn't tell us anything.

Answer A

Q3. Is the integer n a multiple of 15?
(1) n is a multiple of 20.
(2) n+6 is a multiple of 3.

1. n could be 20, 40, 60, 80, 100, 120, 140, 160, 180, etc
2. n could be 3, 6, 9, 12...60...120

Taken together n could be 60, 120, 180, 240, 300

all of the answers that show up in both statements are multiples of 15, so C takes it.

Answer C

Q4. Whenever Joy gets a restaurant bill between $10 and $99, he calculates amount of tip as 2 times of the tens value of the bill. If amount was between $10 and $99, was amount of tip is greater than 15% of the value f the bill?

(1) Amount of bill was between $10 and $50.
(2) Tip calculated was $8.

1. Let's say the bill was $19. 15% of $19 = $2.85 but the tip would only be $2 (1*2). Now if the bill were $20, a 15% tip would mean $3 and she would give $4. Inconsistency here. Not good on its own.

2. Tip calculated was $8. $8 is 15% tip of (8/.15=$53.33) so if the bill is under $53.33 it's over 15% but if it's more than $53.33 it's less than 15%. All we know here is that it's between $10 and $99 so it's insufficient as well.

Now taken TOGETHER we know the bill is less than $50 and $8 is more than the $7.50 tip that 15% of $50 would be. so together they are sufficient.

That makes sense. I was considering the $8 as an arbitrary number they came up with. In which case you would need Statement 1 to make sure the bill was under $53.33. However, by following the rules in the question an $8 tip would have to come from a bill that was between $40 and $49.99. Since a 15% tip on a $50 bill is $7.5 and an $8 tip must come from a bill less than $49.99 (and more than $40) then B is sufficient on its own.

Sloppy mistake on my part. I like these questions though!

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