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The identity element with respect to the multiplication shown in the diagram below is (begin{array}{c|c} otimes &…

The identity element with respect to the multiplication shown in the diagram below is (begin{array}{c|c} otimes & p & p & r & s \ hline p & r & p & r & p
\ q & p & q & r & s\ r & r & r & r & r\ s & q & s & r & qend{array})

  • A.
    p
  • B.
    q
  • C.
    r
  • D.
    s
Correct Answer: Option B
Explanation

The identity element (e) under an operation, say (otimes), is the element such that for any given element under the operation, say a,

(a otimes e = e otimes a = a)

From the table, q is the identity element.

(p otimes q = q otimes p = p)

Same as all through.