2017 · Q110
Suppose, the remainder obtained while dividing x by 61 is 2. What is the remainder obtained while dividing x7 by 61?
General Mental Ability, Quantitative Aptitude and StatisticsNumber system and arithmetic
- A2
- B4
- C5
- D6
Explanation
Since x leaves remainder 2 on division by 61, x^7 leaves the same remainder as 2^7 = 128. Dividing 128 by 61 gives 128 - 122 = 6. Hence D.