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The number of points having position vector a i + b j + c k where a,b,c ∈ {1,2,3,4,5} such that 2^a + 3^b + 5^c is divisible by 4, is

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The number of points having position vector a i + b j + c k where a,b,c ∈ {1,2,3,4,5} such that 2a + 3b + 5c is divisible by 4, is

(A) 140

(B) 70

(C) 100

(D) 150

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Correct option: (C) 100

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