The remainder obtained when any prime number greater than 6 is divided by 6 must be :
A. either 1 or 2
B. either 1 or 3
C. either 1 or 5
D. either 3 or 5
Answer: Option C
Solution(By Examveda Team)
Let the required prime number be p.Let p when divided by 6 give n as quotient and r as remainder. Then p = 6n + r, where 0 $$ \leqslant $$ r < 6
Now, r = 0, r = 2, r = 3 and r = 4 do not give p as prime.
∴ r $$ \ne $$ 0, r $$ \ne $$ 2, r $$ \ne $$ 3, and r $$ \ne $$ 4
Hence, r = 1 or r = 5
Related Questions on Number System
Three numbers are in ratio 1 : 2 : 3 and HCF is 12. The numbers are:
A. 12, 24, 36
B. 11, 22, 33
C. 12, 24, 32
D. 5, 10, 15
Join The Discussion