# QA – Placement Quizzes | Numbers, LCM and HCF | Question 3

What is the unit’s digit in the product (267)^{153} x (66666)^{72} ?**(A)** 7**(B)** 6**(C)** 1**(D)** 2**Answer:** **(D)****Explanation:** We have to find the unit digit only.

In 267 unit digit is 7 and cyclicity of 7 is 4.

So, (267)^{153}can be written as (267)^{Rem(153)/4}= (267)^{1}

Unit digit of (267)^{1}= 7.

similarly for 66666 unit digit is 6 and cyclicity for 6 is 1.

Unit digit for (66666)^{72}= 6.Therefore , Unit digit of the resultant is 7 * 6 = 2

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