Question ==> What is the value of i?
Each letter is > 0 and < 10 and occur once.
$$Hence,\ 1\le i\le9$$
Statement 1 ==> i is the product of the prime numbers 'd' and 'e'. d and e are prime numbers
$$i=d\cdot e$$
Prime numbers between 1 and 9 include 2,3,5 and 7.
$$2\cdot3=6,\ 2\cdot5=10,\ 2\cdot7=14,\ 3\cdot5=15,\ 3\cdot7=21$$
$$The\ only\ product\ that\ is\ \le9\ is\ 2\ and\ 3$$
Hence, 'd' and 'e' = 2 and 3.
STATEMENT 1 IS SUFFICIENT
Statement 2 ===> i is the sum of two even numbers 'd' and 'f'.
Even numbers between 1 and 9 includes 2, 4, 6 and 8.
$$2+4=6,\ 2+6=8,\ 2+8=10,\ 4+6=10,\ 4+8=12$$
This means that i can either be =8 or =6.
The information given is not enough to arrive at a specific answer for the value of i. Hence, STATEMENT 2 IS NOT SUFFICIENT.
Therefore, state 1 alone is SUFFICIENT. Answer is option A
