If for $\alpha \in N, \alpha N=\{a x: x

CUET Preparation Today

Start Free Mocks

Home Questions ZCWDHQHU8X

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

If for $\alpha \in N, \alpha N=\{a x: x \in N\}$, then the set $6 N \cap 8 N$ is equal to

Options:

8 N

48 N

12 N

24 N

Correct Answer:

24 N

Explanation:

$6 N \cap 8 N =\{6,12,18,24,30, ...) \cap\{8,16,24,32 ...\}$

= {24, 48, ....} = 24 N

Alternatively, L.C.M. of 6 and 8 = 24

∴ $6 N \cap 8 N = 24 N$

Hence (4) is the correct answer