2021 · Q82
Which one of the following is the remainder when 74100 is divided by 9?
General Mental Ability, Quantitative Aptitude and StatisticsNumber system and arithmetic
- A2
- B5
- C3
- D7
Explanation
Apply remainder theorem, => 74100/9 Dividing 74 by 9, the remainder will be 2, => 2100/9 => [(23)33 × 2]/9 => [(8)33 × 2]/9 Dividing 8 by 9, the remainder will be -1, => [(-1)33 × 2]/9 => -2/9 Since remainder will never be a negative number. Therefore the remainder = -2 + 9 = 7