Aspire Faculty ID #15036 · Topic: UGC NET Computer Science 26 June 2025 (Paper II) · Just now
UGC NET Computer Science 26 June 2025 (Paper II)

Let m and n be positive integers.
(A) If n ≠ 1, then m < mn.
(B) If k is composite, then k = mn where 1 < m, n > k.
(C) If mn = 1, then m = 1 and n = 1.
(D) If k is composite, then k = mn where 1 < m, n < k.

Solution

(B) is false (for composite k, both factors are < k). (A), (C), (D) are true for positive integers.

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