Question

Find a number which being divided by $39$ gives a remainder $16$, and by $56$ a remainder $27$.

• A. $1147$
• B. $1417$
• C. $7114$
• D. $5009$

Answer 1

The correct option is A $1147$

Consider the number $1147$

When $1147$ is divided by $39$ , we get $16$ as remainder and if it is divided by $56$ , we get $27$ as remainder

$1147=39\times 29+16=56\times 20+27$

Therefore option $A$ is correct