
The last digit of the number is
Answer
540k+ views
Hint- last digit means we need to check the unit digit in .For finding the unit digit number we must know the concept of cyclicity of power to a number.
For finding the last digit of the number, we will have to check unit digit in
So, check the unit digit in
So, the unit digit is 7.
So, the unit digit is 9.
So, the unit digit is 3.
So, the unit digit is 1.
So, the unit digit is 7.
So, the unit digit is 9.
Now we can see that after 4 steps the unit digits are repeating.
Now in the given number the power of 7 is 886.
So divide 886 by 4
Now we are generalizing the number of form and the corresponding unit digit can be written as
Now as we see from equation (1) that the power of 7 which is 886 is of form
Hence the unit digit would be 9.
So, the correct answer is option (a).
Note- In such types of questions if we asked to find out the last digit of some number, first we have to check the unit digit and find after how many steps it gets repeated, then divide the power of number with the number of steps after which the unit digit is repeating then generalize the number as above we will get the required last digit of the given number.
For finding the last digit of the number, we will have to check unit digit in
So, check the unit digit in
So, the unit digit is 7.
So, the unit digit is 9.
So, the unit digit is 3.
So, the unit digit is 1.
So, the unit digit is 7.
So, the unit digit is 9.
Now we can see that after 4 steps the unit digits are repeating.
Now in the given number the power of 7 is 886.
So divide 886 by 4
Now we are generalizing the number of form and the corresponding unit digit can be written as
Now as we see from equation (1) that the power of 7 which is 886 is of form
Hence the unit digit would be 9.
So, the correct answer is option (a).
Note- In such types of questions if we asked to find out the last digit of some
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
School Full course for CBSE students
₹41,848 per year
Recently Updated Pages
Master Class 8 Science: Engaging Questions & Answers for Success

Master Class 8 English: Engaging Questions & Answers for Success

Master Class 8 Social Science: Engaging Questions & Answers for Success

Master Class 8 Maths: Engaging Questions & Answers for Success

Class 8 Question and Answer - Your Ultimate Solutions Guide

Master Class 10 General Knowledge: Engaging Questions & Answers for Success

Trending doubts
What is the southernmost point of the Indian Union class 8 social science CBSE

Write five sentences about Earth class 8 biology CBSE

Name the states through which the Tropic of Cancer class 8 social science CBSE

List some examples of Rabi and Kharif crops class 8 biology CBSE

In a school there are two sections of class X section class 8 maths CBSE

What is the difference between a diamond and a rho class 8 maths CBSE
