Home > GMAT Focus Edition QUANTITATIVE QUESTION > Problem Solving Word Problems > Overlapping Sets: Difficulty 500 Level

Overlapping Sets: Difficulty 500 Level

If 75 percent of the employees of a certain company take a winter vacation, 40 percent take a winter and a summer vacation, and 20 percent take neither a winter nor a summer vacation, what percent of the employees take a summer vacation but not a winter vacation?
19 January 2022, by hurtado claudio

GMAT QUANT Problem Solving Level 500, Overlapping Sets
If 75 percent of the employees of a certain company take a winter vacation, 40 percent take a winter and a summer vacation, and 20 percent take neither a winter nor a summer vacation, what percent of the employees take a summer vacation but not a winter vacation?
A) 5%
B) 15%
C) 25%
D) 35%
E) 45%
There are two self-defense techniques used by the monsters on Monster Island: spitting fire balls and blowing freezing wind. Every monster on Monster Island can spit fire balls or can blow freezing wind or can do both. There are 26 monsters on Monster Island. Of the monsters who can spit fire balls, 8 also blow freezing wind. How many of the monsters on Monster Island can use only one of the two self-defense techniques?
19 January 2022, by hurtado claudio

GMAT QUANT Problem Solving Level 500, Overlapping Sets
There are two self-defense techniques used by the monsters on Monster Island: spitting fire balls and blowing freezing wind. Every monster on Monster Island can spit fire balls or can blow freezing wind or can do both. There are 26 monsters on Monster Island. Of the monsters who can spit fire balls, 8 also blow freezing wind. How many of the monsters on Monster Island can use only one of the two self-defense techniques?
A. 4
B. 8 (...)
If 75 percent of a class answered the first question on a certain test correctly, 55 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?
19 January 2022, by hurtado claudio

GMAT QUANT Problem Solving Level 500, Overlapping Sets
If 75 percent of a class answered the first question on a certain test correctly, 55 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?
(A) 10%
(8) 20%
(C) 30%
(D) 50%
(E) 65%
Of the films Empty Set Studios released last year, 60% were comedies and the rest were horror films. 75% of the comedies were profitable, but 75% of the horror moves were unprofitable. If the studio made a total of 40 films, and broke even on none of them, how many of their films were profitable?
19 January 2022, by hurtado claudio

GMAT QUANT Problem Solving Level 500, Overlapping Sets
Of the films Empty Set Studios released last year, 60% were comedies and the rest were horror films. 75% of the comedies were profitable, but 75% of the horror moves were unprofitable. If the studio made a total of 40 films, and broke even on none of them, how many of their films were profitable?
A. 18
B. 19
C. 20
D. 21
E. 22
Each of the 80 writers in a certain club is either exclusively lefthanded or exclusively right-handed. If there are 12 more lefthanded writers in the club than right handed writers, how many of the writers are not left-handed?
19 January 2022, by hurtado claudio

GMAT QUANT Problem Solving Level 500, Overlapping Sets
Each of the 80 writers in a certain club is either exclusively lefthanded or exclusively right-handed. If there are 12 more lefthanded writers in the club than right handed writers, how many of the writers are not left-handed?
A. 28
B. 32
C. 34
D. 46
E. 52