Bunuel wrote:
When the positive integer n is divided by 7, the quotient is q and the remainder is 4. When 2n is divided by 7, the remainder is 1 and the quotient, in terms of q, is
A. q/2
B. q/2 + 1
C. 2q
D. 2q+1
E. 2q+2
A. q/2
B. q/2 + 1
C. 2q
D. 2q+1
E. 2q+2
lets use some no to solve
When the positive integer n is divided by 7, the quotient is q and the remainder is 4.
n=7q+4
n=11
q=1
now
when When 2n is divided by 7, the remainder is 1 and the quotient, in terms of q, is
22=7*3+1
q=3
out of given options
D sufficies relation
IMO D