Number Work - Even, Odd numbers, prime, twin prime numbers, co-prime numbers, composite numbers
Consider the following statements: (i) Two consecutive odd numbers are always co-prime. (ii) The product of two prime numbers is always a composite number. (iii) There are a total of 6 pairs of twin prime numbers between 1 and 50. Which of the above statements are true?
a :
Only (ii) and (iii)
b :
Only (ii) and (iii)
c :
Only (i) and (ii)
d :
All (i), (ii), and (iii)
Explanation :
The common factor of two consecutive odd numbers is only 1. When two prime numbers are multiplied, the resulting number has at least 3 factors (1, itself, and the two prime numbers), making it a composite number.