Question

If in the division algorithm \( a = bq + r \), given \( b = 61 \), \( q = 27 \), and \( r = 32 \), then the value of \( a \) is:

• A. \( 1679 \)
• B. \( 1600 \)
• C. \( 1669 \)
• D. \( 1696 \)

Hint:

In the division algorithm \( a = bq + r \), \( r \) must always be smaller than \( b \).

Answer 1

The Correct Option is A

Using the division algorithm:
\[ a = bq + r. \] \[ a = 61 \times 27 + 32. \] \[ a = 1647 + 32 = 1679. \]