Question

What least number must be subtracted from $1294$ so that the remainder when divided by $9,11,13$ will leave in each case the remainder $6?$

• A. $0$
• B. $1$
• C. $2$
• D. $3$

Answer 1

The correct option is B $1$

The LCM of $9,11$ and $13$ is $1287.$

The number which will leave a remainder $6$ is $1287+6=1293.$

The difference between $1294$ and $1293$ is $1$ which is the least number must be subtracted from $1294$ so that the remainder when divided by $9,11,13$ will leave in each case the remainder $6.$