XAT 2014 Question 58
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XAT
Natural numbers = x, y, (x + y), (x − y)
Statement I : As all the numbers are prime, therefore, either x or y has to be 2 because otherwise (x+y) cannot be prime.
Case 1 : If x = 2, then (x-y) cannot be prime
Case 2 : If y = 2, numbers = (x − 2), x, (x + 2)
These numbers are prime, hence all possibility = 3,5,7
Sum = 2+3+5+7 = 17
Using statement II, we cannot find the required sum, as no specific value of mean is given.