Question

A gym class can be divided into $8$ teams with an equal number of students on each team or into $12$ teams with an equal number of students on each team. What is the lowest possible number of students in the class?

• A. $20$
• B. $24$
• C. $36$
• D. $48$
• E. $56$

Answer 1

Answer: (B)

$24$

The lowest possible number of students in the class will be LCM of $8$ and $12$

Now, prime factirising,

$8=2\times 2\times 2$

$12=2\times 2\times 3$

$LCM(8,12)=2\times 2\times 2\times 3=24$

So, correct answer is $Op-B$.