Question

Ram divides a number by 1209 and gets remainder 62. If Shyam divides the same number by 31, then what is the remainder?

• A. $3$
• B. $4$
• C. $0$
• D. $7$

Answer 1

The correct option is C $0$

Let x be the number and y be the quotient. Then,
$x=1209\times y+62$
$=(31\times 39\times y)+(31\times 2)+0$
$=31\times ((39y+2)+0)$
$\therefore Requiredremainder=0$.