Is the sum of 7 different positive integers greater than 99?

Analyzing Statement 2 first:
For range =10, consider a set where lowest integer is 1 and highest is 11 = { 1, 2, 3, 4, 5, 6, 11}
Sum = 32 < 99 ; This gives answer to the question stem as NO.
For range =10, consider another set where lowest integer is 100 and highest integer is 110 = {100, 101,102, 103, 104, 105, 110}
Sum is definitely > 99; which gives to the question stem as YES.
Therefore, statement 2 alone is not sufficient.

Analyzing statement 1:
We have a set with 7 distinct +ve integers and as per statement 1 largest number is 16.
If we try to maximize each integer in the set to satisfy these conditions we get set = {16, 15, 14, 13, 12, 11, 10}
Sum of these integers = 16*17/2 - 9*10/2 (using the formula for sum of first n +ve integers is n(n+1)/2 )= 136 - 45 = 91
Even with maximum value for all integers we get a value that is less than 99, a definite YES to the question stem.
Hence, statement 1 alone is sufficient.

Answer: A