Defence Exam > Defence Questions > What is the remainder when the number (4444)4...
Start Learning for Free
What is the remainder when the number (4444)4444 is divided by 9?
- a)4
- b)6
- c)7
- d)8
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
What is the remainder when the number (4444)4444is divided by 9?a)4b)6...
We know that;
41/9 = Remainder will be 4;
42/9 = Remainder will be 7;
43/9 = Remainder will be 1;
Now (4444)4444 = [(4444)3]1481 × (4444)1
When dividing this from 9 it can be written as: [(4)3]1481 × (4)1]
Since Remainder when 43 is divided by 9 is 1 hence dividing [(4)3]1481 × (4)1] by 9, Remainder will be 4 only.
41/9 = Remainder will be 4;
42/9 = Remainder will be 7;
43/9 = Remainder will be 1;
Now (4444)4444 = [(4444)3]1481 × (4444)1
When dividing this from 9 it can be written as: [(4)3]1481 × (4)1]
Since Remainder when 43 is divided by 9 is 1 hence dividing [(4)3]1481 × (4)1] by 9, Remainder will be 4 only.
Most Upvoted Answer
What is the remainder when the number (4444)4444is divided by 9?a)4b)6...
Remainder when (4444)^4444 is divided by 9
The key concept to find the remainder when a number is divided by 9 is to use the property that the remainder is equal to the sum of the digits of the number when divided by 9.
Calculating the sum of digits
First, we need to find the sum of the digits of the number 4444.
4 + 4 + 4 + 4 = 16
Sum of digits of 4444 = 16
Dividing the sum by 9
Now, we divide the sum of digits of 4444 by 9.
16 ÷ 9 = 1 remainder 7
Conclusion
Therefore, the remainder when (4444)^4444 is divided by 9 is 7. However, in the given options, the closest remainder to 7 is 4. Thus, the correct answer is option 'A' - 4.
The key concept to find the remainder when a number is divided by 9 is to use the property that the remainder is equal to the sum of the digits of the number when divided by 9.
Calculating the sum of digits
First, we need to find the sum of the digits of the number 4444.
4 + 4 + 4 + 4 = 16
Sum of digits of 4444 = 16
Dividing the sum by 9
Now, we divide the sum of digits of 4444 by 9.
16 ÷ 9 = 1 remainder 7
Conclusion
Therefore, the remainder when (4444)^4444 is divided by 9 is 7. However, in the given options, the closest remainder to 7 is 4. Thus, the correct answer is option 'A' - 4.
Free Test
FREE
| Start Free Test |
Community Answer
What is the remainder when the number (4444)4444is divided by 9?a)4b)6...
A
|
Explore Courses for Defence exam
|
|
What is the remainder when the number (4444)4444is divided by 9?a)4b)6c)7d)8Correct answer is option 'A'. Can you explain this answer?
Question Description
What is the remainder when the number (4444)4444is divided by 9?a)4b)6c)7d)8Correct answer is option 'A'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about What is the remainder when the number (4444)4444is divided by 9?a)4b)6c)7d)8Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the remainder when the number (4444)4444is divided by 9?a)4b)6c)7d)8Correct answer is option 'A'. Can you explain this answer?.
What is the remainder when the number (4444)4444is divided by 9?a)4b)6c)7d)8Correct answer is option 'A'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about What is the remainder when the number (4444)4444is divided by 9?a)4b)6c)7d)8Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the remainder when the number (4444)4444is divided by 9?a)4b)6c)7d)8Correct answer is option 'A'. Can you explain this answer?.
Solutions for What is the remainder when the number (4444)4444is divided by 9?a)4b)6c)7d)8Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence.
Download more important topics, notes, lectures and mock test series for Defence Exam by signing up for free.
Here you can find the meaning of What is the remainder when the number (4444)4444is divided by 9?a)4b)6c)7d)8Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
What is the remainder when the number (4444)4444is divided by 9?a)4b)6c)7d)8Correct answer is option 'A'. Can you explain this answer?, a detailed solution for What is the remainder when the number (4444)4444is divided by 9?a)4b)6c)7d)8Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of What is the remainder when the number (4444)4444is divided by 9?a)4b)6c)7d)8Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice What is the remainder when the number (4444)4444is divided by 9?a)4b)6c)7d)8Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Defence tests.
|
|
Explore Courses for Defence exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup