3 Views

Question : What will be the remainder when $252^{126}+244^{152}$ is divided by 10?

Option 1: 4

Option 2: 6

Option 3: 0

Option 4: 8


Team Careers360 18th Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: 0


Solution : To find the remainder when $252^{126}+244^{152}$ is divided by 10, we only need to consider the unit digit of each term in the sum.
The unit digit of $252^{126}$ is the same as the unit digit of 2 126 .
Divide 126 by 4 and get remainder = 2
So, the unit digit of $252^{126}$ is $2^2$ = 4
The unit digit of $244^{152}$ is the same as the unit digit of 4 152 .
If the power of 4 is even, the unit digit is 6.
So, the unit digit of $244^{152}$ is 6.
The sum of the unit digits = 4 + 6 = 10
The remainder when $252^{126}+244^{152}$ is divided by 10 = Remainder when 10 is divided by 10 = 0
So, the remainder is 0.
Hence, the correct answer is 0.

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books