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GATE 2020 CE (CE1) – Question 9

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 2 marks · Multiple choice

Find the units digit of $26591749^{110016}$.

  1. 1
  2. 3
  3. 6
  4. 9

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Show answer and explanation

Correct answer: (A) 1

Explanation

Only the last digit matters. Powers of9 alternate9,1 for odd and even exponents. Since110016 is even,the units digit is **1,A**. No large-power calculation is needed.