What is the remainder when 39^42 is divided by 10?

Asked by Last Modified  

2 Answers

Follow 2
Answer

Please enter your answer

Tutor

39^42 = 39*39*39*39.......till 42 times. 39/10 rem=9. 39^42 => 9^42 is the remainder for the whole part.
Comments
Dislike Bookmark

As the whole number is divided by 10 so we need to look only at the units digit of the number i.e. 9^42. As powers of 9 has a cyclicity of 2 meaning odd power of 9 will give 9 as the units digit while even power will give 1. As 9 is raised to power 42 which is even means that the units digit of the...
read more
As the whole number is divided by 10 so we need to look only at the units digit of the number i.e. 9^42. As powers of 9 has a cyclicity of 2 meaning odd power of 9 will give 9 as the units digit while even power will give 1. As 9 is raised to power 42 which is even means that the units digit of the number will be 1. And 1 ÷ 10 =1 So (39^42)÷10 gives '1' as remainder, which us the desired answer. read less
Comments
Dislike Bookmark

Related Questions

A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, in how many days they can complete the work?
22.5 days
Learn Unwired
Dear all, I am looking for tutor who can teach SSC CGL aptitude topics. Kindly drop your details. I ma staying in Banagluru near whitefield.
I would request you to visit sai vidya edcation in viman nagar... Go through it. It'll help you understand all concepts and everything about SSC CGL.
Subbareddy
0 0
9
HCF of 13 & 7 = ?
10+4=14
Pavnesh Sharma
I am currently as a professional. And lately I realized the importance of learning quantitative aptitude. How can I begin? My mathematics concepts is unclear from 8th standard. Please help…
SIR-UGC NET Exam for Science stream is conducted by CSIR in the following areas.
Naresh
What are the Best Books for preparing to IAS Preliminary?
NCERT Books with CSAT1 & CSAT2 by TMH
Chetan

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Permutation Challenge: Exactly 4 Friends Without Their Bags | Must Know CAT Level Problem

Rajnikant Mishra

0 0
0
3 Car Speed Puzzle | TSD for CAT

Rajnikant Mishra

1 0
0
Installment Problem on Compound Interest | Solve without formula

Rajnikant Mishra

0 0
0
Greek words used in English Language
Dogma (noun) (established belief or set of principles held by a religion, ideology or by any organization) Eureka (interjection) (I have found!) (Archimedes) While taking a bath, he suddenly realized...
V

Vidussi S.

0 0
0
Aptitude Puzzle
When the price of wheat was increased by 32%, a family reduced its consumption in such a way that the expenditure on wheat was only 10% more than before. If 30kg were consumed per month before, find the...

Surendra Reddy Ankireddypalli

0 0
0

Recommended Articles

Hurry up! Apply for Government Jobs before...

There are a number of exciting upcoming government jobs in India for you. Just check out the links and apply for relevant jobs. Open Positions: Position Name Dept./Org. Vacancies Last Date Info. Link LDC, Steno, Driver, MTS, Ayah, Cook IAF 140 30-03-2015 http://bit.ly/1C1zjAM Technician,...

Read full article >

Bank P.O Exam Guide

Bank P.O is one of the most talked about examination for bank recruitment in India. P.O stands for Probationary Officer which is an entry level position in banks, which are especially for fresh graduates or a person without any prior experience. The probation period for Bank P.Os is generally 2 years in which they’re trained...

Read full article >

8 Exam Stress Busters That You Can Count On

When exams knock at the door, it is common to go paranoid. First, the constant worry on how you will perform and whether you are preparing right is a major concern. Next, the limited time span and the vast syllabus that you have to complete. Irrespective of the kind of exam you are appearing for, stress is common and happens. If...

Read full article >

Exam Tips for Students

So, Children your exams are fast approaching & you are facing the jitters? correct? But there is nothing to worry. If you plan your studies well, you can definitely pass your examinations with flying colours. Here are a few simple tips that you can follow: 1. Your school has issued a time table for the exams....

Read full article >

Find Quantitative Aptitude Coaching near you
Quantitative Aptitude Coaching in Hyderabad
Quantitative Aptitude Coaching in Bangalore
Quantitative Aptitude Coaching in Delhi
Quantitative Aptitude Coaching in Chennai
Quantitative Aptitude Coaching in Pune
Quantitative Aptitude Coaching in Mumbai
Quantitative Aptitude Coaching in Gurgaon
Quantitative Aptitude Coaching in Kolkata
Quantitative Aptitude Coaching in Noida
Quantitative Aptitude Coaching in Coimbatore

Looking for Quantitative Aptitude Coaching?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you