You asked for it, and now you’ve got it. Our friends over at Target Test Prep have sent this year’s GMATTers two more juicy quant problems to chew on. Here’s to your 680-750+ next GMAT attempt!
Here’s bath #2!
PRACTICE PROBLEM 2A
Jamshid can paint a fence in 50 percent less time than Taimour can when each works alone. When they work together, they can paint the fence in 8 hours. How long would it take Taimour to paint the fence alone?
(A) 6 hours (B) 8 hours (C) 14 hours (D) 24 hours (E) 32 hours
Solution:
We have a relative comparison between Jamshid’s work time and Taimour’s work time. Jamshid takes 50 percent less time to paint the fence. If we let Taimour’s time equal t hours, Jamshid’s time would be 0.5t hours. This means that the men’s respective rates would be
The two men working together take 8 hours to finish a fence; we can use this figure to determine the contribution of each to a particular job:
Rate |
Time |
Work |
|
Taimour |
|
8 hours |
|
Jamshid |
|
8 hours |
Now we can calculate the work contributed by each:
Rate |
Time |
Work |
|
Taimour |
|
8 hours |
|
Jamshid |
|
8 hours |
|
It must be true that the work completed by Jamshid plus the work completed by Taimour equals the total work done (1 fence).
Thus it would take Taimour 24 hours to paint the fence alone.
Answer: D
PRACTICE PROBLEM 2B
A pack of baseball cards consists of 12 outfielder cards and 8 infielder cards. What is the lowest number of outfielder cards that would have to be removed from the pack so that no more than 40 percent of the pack would be outfielder cards?
(A) 4 (B) 5 (C) 6 (D) 7 (E) 8
Solution:
The information provided by the problem is the number of infielder cards = 8, the number of outfielder cards = 12, and, by extension, the total number of cards = 8 + 12 = 20. We can let x represent the number of cards that will be removed from the deck. With this information, we can set up an equation to determine the lowest number of outfielder cards that need to be removed from the deck. Remember that any outfielder cards removed are also removed from the total, so x needs to be subtracted from both the number of outfielder cards in the pack and the total number of cards. It is very important to see that in this problem, the part-to-total ratio is being altered
Since x must be an integer and be greater than or equal to , the smallest value of x is 7.
Answer: D
June 1, 2013 at 8:36 AM
Hi,
I have couple questions, can i have your email address?
Thanks
June 2, 2013 at 7:38 AM
GMAT questions or admissions questions?
June 2, 2013 at 8:14 PM
Admissions…
June 2, 2013 at 10:44 PM
Sure just email mbaover30@gmail.com
June 2, 2013 at 11:26 PM
couldn’t solve any but learnt something…. thanks!
June 3, 2013 at 10:55 AM
you’re welcome! More to come.
June 20, 2013 at 2:09 AM
can u provide me more GMAT Papers.
June 20, 2013 at 8:07 AM
More are coming Rahul…