Question

A number when divided by $259$ leaves a remainder $139$. What will be the remainder when the same number is divided by $37$?

• A. $28$
• B. $29$
• C. $30$
• D. $31$

Answer 1

Answer: (A)

$28$

Let the number be $x$

$\therefore x=259y+\mathrm{139.....}$ By given condition

$y\le R^{+}$

$\therefore \frac{259y+139}{37}=7y+\frac{139}{37}$

Now Remainder lies on $\frac{129}{37}$

$\therefore \frac{139}{37}=3+\frac{28}{37}$

$\therefore$ Remainder is $28$.