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GMAT Test Day Practice Problems

Problem Solving — algebra and arithmetic (GMAT Focus Edition)
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GMAT Test Day Practice Problems

by Spike142 » Tue Mar 08, 2011 7:43 pm
It's GMAT Test Day! Post some problems that you find would be a nice addition to "Warm-up" on. Keep them simple; Just to loosen the Brain up and get warmed up for your big test today!

IF you are actually taking the test today.. Good Luck, and remember don't give up don't you ever give up. :D

Be proud of who you are and you will be proud of your score. -Spike142-
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by Spike142 » Tue Mar 08, 2011 7:58 pm
A 40 foot Rope is cut into two pieces. If one piece is 18 feet longer than the other, what is the length, in feet, of the shorter piece?

A) 9
B) 11
C) 18
D) 22
E) 29
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by bajwa2307 » Fri Mar 25, 2011 11:09 am
Let the length of shorter piece be x

as stated in the question, one piece is 18 feet longer that the other, so

length of longer piece = x+18

now the sum of both pieces will equal 40, so the equation will be

x+(x+18) = 40
2x = 22
x = 11

length of shorter piece = 11
length of longer piece = 11+18 = 29

since we need only length of shorter side, the answer is b
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by Spike142 » Thu Mar 31, 2011 11:19 am
If 1 kilometer is approximately 0.6 mile, which of the following best approximates the number of kilometers in 2 miles:

a) 10/3
b) 3
c) 6/5
d) 1/3
e) 3/10

(Question found in OG review)
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by Spike142 » Thu Mar 31, 2011 11:24 am
In the Johnsons' monthly budget, the dollar amounts allocated to household expense, food, and miscellaneous items are in a ratio of 5:2:1, respectively if the total amount allocated to these three categories is $1800, what is the amount allocated to food?

a) $900
b) $720
c) $675
d) $450
e) $225

Problem courtesy of the OG review
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by Spike142 » Thu Mar 31, 2011 12:33 pm
139 view so far and yet I am the only one posting...c'mon BTG members please contribute. All you have to do find your favorite PS or DS problem and post it. Help your friends out and warm their brains up for G-Day!

Courtesy of OG review:

Is the following statement sufficient?

Mary Persuaded (n) friends to donate $500 each to her election campaign, and then each of these (n) friends persuaded (n) more people to donate $500 each to Mary's campaign. If no one donated more than once and if there were no other donations, what was the value of n?

(1) The first (n) people donated 1/16 of the total amount donated

(2) The Total amount donated was $120,000

Seriously this took me only like 5 minutes to write...
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by bajwa2307 » Thu Mar 31, 2011 12:49 pm
Spike142 wrote:If 1 kilometer is approximately 0.6 mile, which of the following best approximates the number of kilometers in 2 miles:

a) 10/3
b) 3
c) 6/5
d) 1/3
e) 3/10

(Question found in OG review)

we can solve by calculation using ratio method

we know that 1km = 0.6 mile

so ? km = 2 miles

let ? km be x for ease of understanding. Now we know that the ratio of the miles to km will remain same, so by ratio

1km/0.6mile = x /2 miles

x = 2/0.6

x = 10/3

so the required answer here is A
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by bajwa2307 » Thu Mar 31, 2011 12:55 pm
Spike142 wrote:In the Johnsons' monthly budget, the dollar amounts allocated to household expense, food, and miscellaneous items are in a ratio of 5:2:1, respectively if the total amount allocated to these three categories is $1800, what is the amount allocated to food?

a) $900
b) $720
c) $675
d) $450
e) $225

Problem courtesy of the OG review
we know that since the 3 items are in a ration, multiplying each one by common number will give us the actual price of the items. Let the common number be x

so the total of the items will be as 5x+2x+x

since the total given is 1800$, we put the values in the equation

5x+2x+x = 1800

8x = 1800

x = 225

the price of the food items is given as 2x, putting value of x, we get

2*225 = 450

so the answer is D
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by Spike142 » Thu Mar 31, 2011 1:02 pm
Thanks bajwa2307 for the replying, I think you understand how I want to help here!
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by bajwa2307 » Thu Mar 31, 2011 2:36 pm
Spike142 wrote:139 view so far and yet I am the only one posting...c'mon BTG members please contribute. All you have to do find your favorite PS or DS problem and post it. Help your friends out and warm their brains up for G-Day!

Courtesy of OG review:

Is the following statement sufficient?

Mary Persuaded (n) friends to donate $500 each to her election campaign, and then each of these (n) friends persuaded (n) more people to donate $500 each to Mary's campaign. If no one donated more than once and if there were no other donations, what was the value of n?

(1) The first (n) people donated 1/16 of the total amount donated

(2) The Total amount donated was $120,000

Seriously this took me only like 5 minutes to write...
Nice question there Spike142. Lemme try

lets try to make a equation of the question first.

if each of the first n friends donated 500$ each then, their total would have been 500n

now if each friend persuaded n friends each, the total people referred would become n*n

so the total contribution would be = 500n + 500n*n

now lets take statement 1,

it states that the first group donated 1/16 of the total but we dont have the total so statement 1 alone is INSUFFICIENT

now take statement 2,

The total is given as 120,000$, if we equate this in the equation, we get

500n + 500n*n = 120,000

n + n*n = 240

n*n + n - 240 = 0 , we have a quadratic equation here, so making factors, we get

n*n + 16n - 15n - 240 = 0

n(n + 16) - 15(n + 16) = 0

(n + 16)(n - 15) = 0

n = -16 or 15, since n cannot be negative, we have n = 15

hence using statement 2 alone we can solve the question.

So by the GMAT data sufficiency options, the answer will be B

hope I am right here :roll:
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by nitin9003 » Mon Apr 04, 2011 2:58 am
Hi ,
The answer to this problem will be D.

Total contribution = 500n(n+1)
Contribution by first n = 500n

according to A The first (n) people donated 1/16 of the total amount donated

so, 500n = 1/16 of 500n(n+1)

16=n+1
so, n=15.
bajwa2307 wrote:
Spike142 wrote:139 view so far and yet I am the only one posting...c'mon BTG members please contribute. All you have to do find your favorite PS or DS problem and post it. Help your friends out and warm their brains up for G-Day!

Courtesy of OG review:

Is the following statement sufficient?

Mary Persuaded (n) friends to donate $500 each to her election campaign, and then each of these (n) friends persuaded (n) more people to donate $500 each to Mary's campaign. If no one donated more than once and if there were no other donations, what was the value of n?

(1) The first (n) people donated 1/16 of the total amount donated

(2) The Total amount donated was $120,000

Seriously this took me only like 5 minutes to write...
Nice question there Spike142. Lemme try

lets try to make a equation of the question first.

if each of the first n friends donated 500$ each then, their total would have been 500n

now if each friend persuaded n friends each, the total people referred would become n*n

so the total contribution would be = 500n + 500n*n

now lets take statement 1,

it states that the first group donated 1/16 of the total but we dont have the total so statement 1 alone is INSUFFICIENT

now take statement 2,

The total is given as 120,000$, if we equate this in the equation, we get

500n + 500n*n = 120,000

n + n*n = 240

n*n + n - 240 = 0 , we have a quadratic equation here, so making factors, we get

n*n + 16n - 15n - 240 = 0

n(n + 16) - 15(n + 16) = 0

(n + 16)(n - 15) = 0

n = -16 or 15, since n cannot be negative, we have n = 15

hence using statement 2 alone we can solve the question.

So by the GMAT data sufficiency options, the answer will be B

hope I am right here :roll:
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