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Is the product of integers \(M\) and \(N\) even?
(1) \(N\) can be expressed as a difference of squares of two consecutive prime numbers at least one of which is odd. \(M\) can be expressed as a product of two natural numbers \(P\) and \(Q,\) where \(2P + 1= Q.\)
(2) \(N\) can be expressed as a difference of squares of two consecutive prime numbers which lie at a distance of \(2\) units. \(M\) is the sum of all the numbers from \(1\) to \(Z\) where \(Z+1\) is a multiple of \(4.\)
Answer: B
Source: e-GMAT
(1) \(N\) can be expressed as a difference of squares of two consecutive prime numbers at least one of which is odd. \(M\) can be expressed as a product of two natural numbers \(P\) and \(Q,\) where \(2P + 1= Q.\)
(2) \(N\) can be expressed as a difference of squares of two consecutive prime numbers which lie at a distance of \(2\) units. \(M\) is the sum of all the numbers from \(1\) to \(Z\) where \(Z+1\) is a multiple of \(4.\)
Answer: B
Source: e-GMAT
