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Number System · Question 44 of 71

Question 44

EasyOriginal question

What is the unit digit of 9429^{42}?

Options for question 44

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Powers of 9 end in 9, 1, 9, 1, … — odd powers end in 9, even powers in 1.

  2. 42 is even, so the unit digit is 1.

Worth noting

9 has a cycle of just 2, so only the parity of the power matters.

Concept
Cyclicity of unit digits of powers of 9
Typical time
35 s
Your time
—
The rule this testsRemainders and unit digits
Practise this chapter →

Ten questions from Number System, at your own pace.

Practise this chapter →

Ten questions from Number System, at your own pace.