GRE blog, Strategy for 99th percentile score

Tuesday, September 3, 2013

Difficult miscellaneous quantitative problems drill

1. Company x produces two kinds of tv: LCD and CRT. Of the tvs produced by Company x last month, 2/3 were LCD and the rest were CRT. If it takes 7/5 as many hours to produce a CRT as it does to produce a LCD, then the number of hours it took to produce the CRT last month was what fraction of the total number of hours it took to produce all the tv?
A.7/17
B.14/31
C. 7/15
D.17/35
E.1/2

2. Working together, Amy and Rodes can type 20 pages in one hour. They will be able to type 22 pages in one hour if Rodes increases his typing speed by 25%. What is the ratio of Rodes normal typing speed to that of Amy?
1/3
2/5
1/2
2/3
3/5

3. If Jim earns x dollars per hour, it will take him 4 hours to earn exactly enough money to purchase a particular jacket which costs 55.75 dollar. If Tom earns y dollars per hour, it will take him exactly 5 hours to earn enough money to purchase the same jacket.

Quantity A                                                   Quantity B
20x                                                                     25y


4. If n is multiple of 5 , and n=x²y where x and y are prime, which of the following must be a multiple of 25 ?
A x²
B. y²
C. xy
D. x²y²
E. x³y

5. 3/8 of all students at X school are in all three of the following clubs: Madrid, Barca, and Chelsea. 1/2 of all students are in Madrid, 5/8 are in Barca, and 3/4 are in Chelsea. If every student is in at least one club, what fraction of the student body is in exactly 2 clubs?
A. 1/8
B. 1/4
C. 3/8
D. 1/2
E. 5/8