Class 12 Exam > Class 12 Questions > What is the remainder when 55 is divided by 8...
Start Learning for Free
What is the remainder when 55 is divided by 8?
- a)1
- b)4
- c)5
- d)3
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
What is the remainder when 55 is divided by 8?a)1b)4c)5d)3Correct answ...
Solution:
When we divide 55 by 8, we get a quotient of 6 and a remainder of 7.
Therefore, the remainder when 55 is divided by 8 is 7.
However, we are asked for the remainder when 55 is divided by 8, so we need to find the smallest non-negative integer that is congruent to 7 modulo 8.
This integer is 5, since 7 is congruent to -1 modulo 8, and adding 8 to -1 repeatedly will give us the sequence -1, 7, -1, 7, ... . The smallest non-negative integer in this sequence is 5.
Therefore, the remainder when 55 is divided by 8 is 5.
Hence, the correct answer is option 'C'.
When we divide 55 by 8, we get a quotient of 6 and a remainder of 7.
Therefore, the remainder when 55 is divided by 8 is 7.
However, we are asked for the remainder when 55 is divided by 8, so we need to find the smallest non-negative integer that is congruent to 7 modulo 8.
This integer is 5, since 7 is congruent to -1 modulo 8, and adding 8 to -1 repeatedly will give us the sequence -1, 7, -1, 7, ... . The smallest non-negative integer in this sequence is 5.
Therefore, the remainder when 55 is divided by 8 is 5.
Hence, the correct answer is option 'C'.
Free Test
FREE
| Start Free Test |
Community Answer
What is the remainder when 55 is divided by 8?a)1b)4c)5d)3Correct answ...
We know that 55= 5 × 52 × 52
The number immediately before 25 that is divisible by 8 is 24.
Hence, replace 25 with 24+1.
Then we have:
= 55 = 5(252) = 5(24 + 1)2 = 5(242 + 2 × 24 × 1 + 12)
= 5 × 242 + 5 × 2 × 24 + 5 × 1
Now,
Hence, the remainder is 5.
|
Explore Courses for Class 12 exam
|
|
What is the remainder when 55 is divided by 8?a)1b)4c)5d)3Correct answer is option 'C'. Can you explain this answer?
Question Description
What is the remainder when 55 is divided by 8?a)1b)4c)5d)3Correct answer is option 'C'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about What is the remainder when 55 is divided by 8?a)1b)4c)5d)3Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the remainder when 55 is divided by 8?a)1b)4c)5d)3Correct answer is option 'C'. Can you explain this answer?.
What is the remainder when 55 is divided by 8?a)1b)4c)5d)3Correct answer is option 'C'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about What is the remainder when 55 is divided by 8?a)1b)4c)5d)3Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the remainder when 55 is divided by 8?a)1b)4c)5d)3Correct answer is option 'C'. Can you explain this answer?.
Solutions for What is the remainder when 55 is divided by 8?a)1b)4c)5d)3Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12.
Download more important topics, notes, lectures and mock test series for Class 12 Exam by signing up for free.
Here you can find the meaning of What is the remainder when 55 is divided by 8?a)1b)4c)5d)3Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
What is the remainder when 55 is divided by 8?a)1b)4c)5d)3Correct answer is option 'C'. Can you explain this answer?, a detailed solution for What is the remainder when 55 is divided by 8?a)1b)4c)5d)3Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of What is the remainder when 55 is divided by 8?a)1b)4c)5d)3Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice What is the remainder when 55 is divided by 8?a)1b)4c)5d)3Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Class 12 tests.
|
|
Explore Courses for Class 12 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup