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MCQ (Single Correct Answer)
GATE CSE 2019
Consider the first order predicate formula:
∀x [( ∀z z|x ((z = x) ∨ (z = 1))) ∃w(w GREATER THAN x) ∧ (∀z z⏐w ((w = z) ∨ (z = 1)))]
Here ‘a⏐b’ denotes that ‘a divides b’, where a and b are integers. Consider the following sets:
S1: {1, 2, 3, …, 100}
S2: Set of all positive integers
S3: Set of all integers
Which of the above sets satisfy φ ?(A) S1 and S3(B) S2 and S3(C) S1, S2 and S3(D) S1 and S2
