QUESTIONS RELATED TO REMAINDER THEORAM

On the set N of all natural numbers, a relation R is defined as follows: AA n,m in N, n R m Each of the natural numbers n and m leaves the remainder less than 5.Show that R is an equivalence relation. Also, obtain the pairwise disjoint subsets determined by R.

In the following question, select the related letters from the given alternatives. ACD : ZXW : : PMN : ?

Using the Remainder Theorem find the remainders obtained when x^(3)+(kx+8)x +k is divided by x + 1 and x - 2. Hence, find k if the sum of the two remainders is 1.

Using the Remainder Theorem find the remainders obtained when x^(3)+(kx+8)x+k is divided by x-1andx-2 . Hence find k if the sum of the remainders is 1.

The following question are related to Iron: Name the process by which iron ore is concentrated.

The following question is related to Iron: Name the acid with which iron is rendered passive .

The following question are related to Iron: Name an alloy of iron and carbon.

On the set N of all natural numbers, a relation R is defined as follows: n R m Each of the natural numbers n and m leaves the same remainder less than 5 when divided by 5. Show that R is an equivalence relation. Also, obtain the pairwise disjoint subsets determined by R .

x=20, y=32 and z=12 {:("Quantity A","Quantity B"),("The remainder when x is","The remainder when y is "),("divided by z","divided by z"):}