Question
One’s digit of the number $(22)^23$ is
Answer: Option C
Answer: (c)Unit’s digit in the expansion of $(22)^23$= Unit’s digit in the expansion of $(2)^23$ Now, $2^1 = 2, 2^2 = 4, 2^3 = 8, 2^4 = 16, 2^5 = 32$i.e. 2 repeats itself after the index 4. On dividing 23 by 4, remainder = 3∴ Unit’s digit in $(2)^23$ = Unit’s digit in $(2)^3$ = 8
Was this answer helpful ?
Answer: (c)Unit’s digit in the expansion of $(22)^23$= Unit’s digit in the expansion of $(2)^23$ Now, $2^1 = 2, 2^2 = 4, 2^3 = 8, 2^4 = 16, 2^5 = 32$i.e. 2 repeats itself after the index 4. On dividing 23 by 4, remainder = 3∴ Unit’s digit in $(2)^23$ = Unit’s digit in $(2)^3$ = 8
Was this answer helpful ?
More Questions on This Topic :
Question 1. The last digit of $(1001)^2008$ + 1002 is....
Question 5. The unit digit in 3 × 38 × 537 × 1256 is....
Question 9. The last digit of $3^40$ is....
Latest Videos
Latest Test Papers
Submit Solution