Aspire Faculty ID #16362 · Topic: NIMCET 2010 · Just now
NIMCET 2010

A, B, C, D and E are five integers. When written in ascending order of values the difference between any two adjacent integers is 4. D is the greatest and A is the least. B is greater than E but less than C. The sum of the integers is equal to E. What is the product of integers?

Solution

Let A = x E = x + 4 B = x + 8 C = x + 12 D = x + 16 Sum = A + E + B + C + D = 5x + 40 Given sum = E = x + 4 So, 5x + 40 = x + 4 4x = –36 x = –9 So integers are –9, –5, –1, 3, 7 Product = –9 × –5 × –1 × 3 × 7 = –945 Correct answer: –945

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