2019 · Q24
When N is divided by 17, the quotient is equal to 182. The difference between the quotient and the remainder is 175. What is the value of N?
Elementary MathematicsNumber System
- A2975
- B3094
- C3101
- D3269
Explanation
By the division algorithm, N = 17·182 + r = 3094 + r, where r is the remainder. The difference between quotient and remainder is 182 − r = 175, so r = 7. Hence N = 3094 + 7 = 3101. The answer is (C).