Consider the following statements in respect of the sum S = x + y + z, where x, y and z are distinct prime numbers each less than 10:
1. 1. The unit digit of S can be 0.
2. 2. The unit digit of S can be 9.
3. 3. The unit digit of S can be 5.
Which of the statements given above are correct?
A
(a) 1 and 2 only
B
(b) 2 and 3 only
C
(c) 1 and 3 only
D
(d) 1, 2 and 3
Correct Answer: Option C
Explanation
1. First, I identify the 'distinct prime numbers less than 10'. Based on the definition of primes [87], the set is **{2, 3, 5, 7}**.
2. The question asks about the sum S of three of these numbers. Since the s