harpritsn wrote:P and q are integers. If p is divided by 2, the remainder is 1, and if q is divided by 6, the remainder is 1, which of the following must be true?
1. p.q+1=even
2. p.q/2= is an integer
3. p.q is multiple of 12??
p is divided by 2, the remainder is 1 => p is an odd number and greater than 2
q is divided by 6, the remainder is 1 => q is a prime number. (Prime numbers are of the form 6k+1 or 6k-1)
Check the conditions:
1. p.q+1=even
This will be true because odd*odd =odd and odd+1 = even
Ex: 3*7 = 21 and 21+1 = 22 (Even)
2. p.q/2= is an integer
This is not true because odd*odd =odd
3. p.q is multiple of 12??
This is also not true
Ex: 3*7 = 21 and 21 is not a multiple od 12.
Answer 1
