Given: p is an integer and p* = p^2 + 2,
Find: k
(1) When k + 2 is divided by 5 the remainder is 2.
so basically (k+2) = 5a +2 => k=5a
basically says k can be any value -> 0,5,10,15 .. etc
Not sufficient
(2) 18 < k* < 35
given p* =p^2+2
k* = k^2 +2
=> 18 <k* <35
=> 18<k^2+2<35
=> 16<k^2<33
As here k is an integer (for p* given p is an integer), only possible value of k = 5
Sufficient
Answer: B
Find: k
(1) When k + 2 is divided by 5 the remainder is 2.
so basically (k+2) = 5a +2 => k=5a
basically says k can be any value -> 0,5,10,15 .. etc
Not sufficient
(2) 18 < k* < 35
given p* =p^2+2
k* = k^2 +2
=> 18 <k* <35
=> 18<k^2+2<35
=> 16<k^2<33
As here k is an integer (for p* given p is an integer), only possible value of k = 5
Sufficient
Answer: B
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