Correct option is (a) Zero
Sum of digits = 1 + 2 + 3 + 4 + 5 = 15 and 15 is divisible by 3. Thus all 5 digits numbers obtained by the digits 1, 2, 3, 4 and 5 will be divisible by 3.
All 5 digits numbers obtained by using all the digits 1, 2, 3, 4 and 5 without repetition of digits, will be divisible by 3.
Hence, no. 5 digits prime number can be obtained by the digits 1, 2, 3, 4 and 5.
