Question

# If 3p+2q=r , where p,q,r are prime numbers, then which of the following statements is (are) possible

A
p can be an odd number
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
p can be an even number
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
q can be an odd number
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
q can be an even number
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

## The correct options are A p can be an odd number C q can be an odd number D q can be an even number3p+2q=r Here, r is definitely an odd number. So, there are two cases Case :1 3p is odd and 2q is even Now, here p will be odd and q can be odd or even. Case :2 3p is even and 2q is odd Since, 2q can not be odd. So, case 2 is not possible. Therefore, p will be an odd number and q can be an odd or even number.

Suggest Corrections
0
Join BYJU'S Learning Program
Select...
Explore more
Join BYJU'S Learning Program
Select...