A list contains 5 positive integers. Are all the integers in this list

Hello

Let the integers be a, b, c, d, e.

(1) Lets add all possible pairs once. So we have a+b, a+c, a+d, a+e, b+c, b+d, b+e, c+d, c+e, d+e. And we are given that these 10 resultant numbers are all distinct from each other.
So if say a+b =/= a+c, then cancel a from both sides to get b =/= c.
Similarly a+b =/= a+d, then cancel a again from both sides to get b =/= d. And so on, we can thus conclude that none of the five integers are same.

(2) If you subtract any two integers from this list, positive difference is greater than 1. So obviously NONE of the differences is 0. If difference between none of the two integers is 0, then none of the two integers are equal to each other in this list.

Hence D answer

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