Mathematics
If X = {x : x is a multiple of 5} and Y = {x : x is a multiple of 7}, then X ∩ Y is
- Φ
- {x : x is a multiple of 2}
- {5, 7}
- {x : x is a multiple of 35}
Sets
1 Like
Answer
The intersection of multiples of two numbers is the set of multiples of their Least Common Multiple (LCM). Since 5 and 7 are co-prime, their LCM is 35.
Hence, option 4 is the correct option.
Answered By
3 Likes
Related Questions
A = {x : x is a prime number} and B = {x : x is an even natural number}. Then A ∩ B is
- an empty set
- a singleton set
- an infinite set
- equal to A
If A = {x : x ∈ N, 5 ≤ x < 10} and B = {1, 2, 3, 4, 5}, then n(A - B) is equal to
- 1
- 2
- 4
- 5
{Φ} is a / an
- empty set
- infinite set
- singleton set
- universal set
If A is any set and U is the universal set, then the complement of A is
- Φ
- A
- U - A
- U