CTS Company Numerical Ability Algebra

In a class of 50 students, 18 take Chorus, 26 take Band, and 2 take both Chorus and Band. How many
students in the class are not enrolled in either Chorus or Band?

Read Solution (Total 2)

p(a U b)==p(a)+p(b)-p(a intersection b)
a=chorus students
b=band students
so,p(a U b)=42
8 students does not learn anything ...
11 years agoHelpfull: Yes(2) No(3)

18-2=16 only take chorus

26-2=24 only take band

16+24+2=42 take either chorus or band

50-42=8 take neither chorus nor band
so the answer is 8 students
4 years agoHelpfull: Yes(0) No(0)

CTS Other Question

In a school of 320 students, 85 students are in the band, 200 students are on sports teams, and 60 students participate in both activities. How many students are involved in either band or sports? Twenty-four dogs are in a kennel. Twelve of the dogs are black, six of the dogs have short tails, and fifteen of the dogs have long hair. There is only one dog that is black with a short tail and long hair. Two of the dogs are black with short tails and do not have long hair. Two of the dogs have short tails and long hair but are not black. If all of the dogs in the kennel have at least one of the mentioned characteristics, how many dogs are black with long hair but do not have short tails?