Math questions and topics from the Official Guide and Quantitative Review books. Please try to follow the posting pattern (e.g. OG - DS - #142) to allow for easier searches. Questions posted in the GMAT Math section regarding the OG have been moved here.
mww7786
 
 

OG - PS - #128

by mww7786 Tue May 08, 2007 9:37 am

#128

If money is invested at r percent, compounded annually, the amount of the investment will double approximately (70/r) years. If Pat's parents invested $5000 in a long-term bond that pays 8%interest, compounded annually, what will be the approximate total amount of the investment 18 years later, when Pat is ready for college?


a. 20000
b 15000
c 12000
d 10000
e 9000

d is correct
Guest
 
 

by Guest Wed May 09, 2007 2:03 am

'a' is actually the correct answer, $20,000
dbernst
ManhattanGMAT Staff
 
Posts: 300
Joined: Mon May 09, 2005 9:03 am
 

by dbernst Wed May 09, 2007 10:57 pm

Though this problem is well-explained in the OG guide, it does highlight an important word: "approximate." On the GMAT, whenever the test writers use the words "approximate" or "approximately" they are in essence telling you NOT to solve explicitly. Instead, you will be able to ballpark and still always arrive at the correct answer. In this case, the $$$ doubles in approximately 70/8 years (i.e. every 9 years). Thus, the 5 Grand will turn to 10 Grand in 9 years, and then the 10 G's will double to 20 over the following 9 years.

The correct answer is A.