If relation R is defined as “x is divisor of y” then from the foll

1.	If relation R is defined as “x is divisor of y” then from the following subset of N. Which is a total ordered set ?(A) {36, 3, 9}(B) {7, 77, 11}(C) {3, 6, 9, 12, 24}(D) {1, 2, 3, 4, …}
Answer» Answer is (A) Given : N = set of natural numbers = (1, 2, 3, 4, …} A relation R is N is defined as xRy ⇒ “x is divisor of y” ∀ x, y ∈ N ⇒ y/x = k ∈ N where N is a set of natural numbers ∀ x, y ∈ N From option ‘A’, 36/9, 36/3 , 9/3 all are natural numbers From option ‘B’, 11/7 ∉ N, from option ‘C’, 9/6 ∉ N From option ‘D’, 3/2 ∉ N,

If relation R is defined as “x is divisor of y” then from the following subset of N. Which is a total ordered set ?(A) {36, 3, 9}(B) {7, 77, 11}(C) {3, 6, 9, 12, 24}(D) {1, 2, 3, 4, …}

Answer»

Answer is (A)

Given : N = set of natural numbers = (1, 2, 3, 4, …}

A relation R is N is defined as

xRy ⇒ “x is divisor of y” ∀ x, y ∈ N

⇒ y/x = k ∈ N

where N is a set of natural numbers ∀ x, y ∈ N

From option ‘A’, 36/9, 36/3 , 9/3 all are natural numbers

From option ‘B’, 11/7 ∉ N, from option ‘C’, 9/6 ∉ N

From option ‘D’, 3/2 ∉ N,