Question

In division algorithm \( a = bq + r \), \( b = 43 \), \( q = 31 \) and \( r = 32 \), the value of \( a \) will be:

• A. 1365
• B. 1356
• C. 1360
• D. 1350

Hint:

To find \( a \) in the division algorithm, multiply \( b \) and \( q \), then add \( r \).

Answer 1

The Correct Option is C

We are given the division algorithm formula: \[ a = bq + r. \] Substitute the given values \( b = 43 \), \( q = 31 \), and \( r = 32 \) into the formula: \[ a = 43 \times 31 + 32. \] First, calculate \( 43 \times 31 \): \[ 43 \times 31 = 1333. \] Now, add \( r = 32 \): \[ a = 1333 + 32 = 1360. \] Thus, the value of \( a \) is \( \boxed{1360} \).