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KVPY2017MathematicsBasics of Mathematics

Let a, b, c, d, e , be real numbers such that a+b < c+d, b+c < d+e, c+d < e+a d + e < a + b . Then

Options

  1. AThe largest is a and the smallest is b
  2. BThe largest is a and the smallest is c
  3. CThe largest is c and the smallest is e
  4. DThe largest is c and the smallest is b

Correct answer

A. The largest is a and the smallest is b

Step-by-step solution

(i) a+b e (i) -(i v)(a-e)+(b-d) b (i) +( iii) -( ii) c>d

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