Question 77

A is a set of all integers between 1 and 100 ( both included ) that are multiples of 6. B is a set of all integers between 1 and 200( both included ) that are multiples of 8. How many elements are in the set C = B-(A$$\cap$$B)?

Solution

Share

The set A consists of integers between 1 and 100 that are multiples of 6. 

The set B consists of integers between 1 and 200 that are multiples of 8. 

(A$$\cap$$B) is the set of multiples of LCM(6, 8) = 24, between 1 to 100.

(A$$\cap$$B) = {24, 48, 72, 96}

The size of B is 200/8 = 25.

So, the size of C = 25-4 = 21.

Get AI Help

Video Solution

video
View More Questions From Venn Diagram

SRCC Quant Questions | SRCC Quantitative Ability

SRCC DILR Questions | LRDI Questions For SRCC

SRCC Verbal Ability Questions | VARC Questions For SRCC

Free SRCC Quant Questions

Book Free CAT Mentorship

Get personalized CAT strategy from a 99%iler

500+ students mentored
CAT mentor

Join CAT 2026 course by 5-Time CAT 100%iler

Start your IIM journey with the right preparation and crack CAT 2026.

Enroll Now
Ask AI