UPSC Exam > UPSC Questions > Letters of the word ‘ARRANGEMENT’...
Start Learning for Free
Letters of the word ‘ARRANGEMENT’ are first written in ascending order and then in descending order, and this process is continued. The (812)th letter of the above series is :
- a)A
- b)R
- c)E
- d)N
- e)T
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Letters of the word ‘ARRANGEMENT’ are first written in asc...
Problem Analysis:
In this problem, we are given a word "ARRANGEMENT" and we have to find the (812)th letter in the series that is formed by writing the letters of the word in ascending and then descending order repeatedly.
Solution:
To solve this problem, we will break it down into steps:
1. Determine the pattern of the series.
2. Calculate the number of letters in each repetition of the series.
3. Find the position of the (812)th letter in the series.
4. Identify the letter at that position.
Step 1: Determine the pattern of the series:
To find the pattern of the series, we need to write the letters of the word "ARRANGEMENT" in ascending and then descending order repeatedly.
Ascending order: A A E E G M N N R R R T
Descending order: T R R R N N M G E E A A
By observing the pattern, we can see that the series is formed by arranging the letters of the word in ascending order first, followed by descending order. This pattern continues infinitely.
Step 2: Calculate the number of letters in each repetition of the series:
To calculate the number of letters in each repetition of the series, we need to determine the length of the ascending and descending sequences.
Ascending sequence: A A E E G M N N R R R T (11 letters)
Descending sequence: T R R R N N M G E E A A (11 letters)
The total number of letters in each repetition of the series is 22.
Step 3: Find the position of the (812)th letter in the series:
To find the position of the (812)th letter in the series, we need to divide 812 by the number of letters in each repetition of the series and find the remainder.
812 ÷ 22 = 36 remainder 20
The (812)th letter is in the 36th repetition of the series and has a remainder of 20.
Step 4: Identify the letter at that position:
To identify the letter at the (812)th position, we need to count 20 letters from the beginning of the ascending sequence.
A A E E G M N N R R R T
The 20th letter is 'E'.
Therefore, the (812)th letter in the series is 'E'.
Hence, the correct answer is option 'C'.
In this problem, we are given a word "ARRANGEMENT" and we have to find the (812)th letter in the series that is formed by writing the letters of the word in ascending and then descending order repeatedly.
Solution:
To solve this problem, we will break it down into steps:
1. Determine the pattern of the series.
2. Calculate the number of letters in each repetition of the series.
3. Find the position of the (812)th letter in the series.
4. Identify the letter at that position.
Step 1: Determine the pattern of the series:
To find the pattern of the series, we need to write the letters of the word "ARRANGEMENT" in ascending and then descending order repeatedly.
Ascending order: A A E E G M N N R R R T
Descending order: T R R R N N M G E E A A
By observing the pattern, we can see that the series is formed by arranging the letters of the word in ascending order first, followed by descending order. This pattern continues infinitely.
Step 2: Calculate the number of letters in each repetition of the series:
To calculate the number of letters in each repetition of the series, we need to determine the length of the ascending and descending sequences.
Ascending sequence: A A E E G M N N R R R T (11 letters)
Descending sequence: T R R R N N M G E E A A (11 letters)
The total number of letters in each repetition of the series is 22.
Step 3: Find the position of the (812)th letter in the series:
To find the position of the (812)th letter in the series, we need to divide 812 by the number of letters in each repetition of the series and find the remainder.
812 ÷ 22 = 36 remainder 20
The (812)th letter is in the 36th repetition of the series and has a remainder of 20.
Step 4: Identify the letter at that position:
To identify the letter at the (812)th position, we need to count 20 letters from the beginning of the ascending sequence.
A A E E G M N N R R R T
The 20th letter is 'E'.
Therefore, the (812)th letter in the series is 'E'.
Hence, the correct answer is option 'C'.
Free Test
FREE
| Start Free Test |
Community Answer
Letters of the word ‘ARRANGEMENT’ are first written in asc...
Solution: The word ‘ARRANGEMENT’ has 11 alphabets. Hence in the given series each alphabet will repeat after (22n - 1) terms, where n = 1,2,3......and so on. i.e. A will have the position 22n + 1 for n = 0, 1 , 2 , 3 ...... and so on.
The required term will also follow this pattern.
Therefore, to find the (812)th term of the series, find the remainder when 812 is divided by 22.
Remainder when 812 divided by 22 is,
The required term will also follow this pattern.
Therefore, to find the (812)th term of the series, find the remainder when 812 is divided by 22.
Remainder when 812 divided by 22 is,
Now, the 20th letter of the series is E.
Hence, E will be the (812) th letter of the series. Hence, option 3.
Hence, E will be the (812) th letter of the series. Hence, option 3.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
Letters of the word ‘ARRANGEMENT’ are first written in ascending order and then in descending order, and this process is continued. The (812)th letter of the above series is :a)Ab)Rc)Ed)Ne)TCorrect answer is option 'C'. Can you explain this answer?
Question Description
Letters of the word ‘ARRANGEMENT’ are first written in ascending order and then in descending order, and this process is continued. The (812)th letter of the above series is :a)Ab)Rc)Ed)Ne)TCorrect answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Letters of the word ‘ARRANGEMENT’ are first written in ascending order and then in descending order, and this process is continued. The (812)th letter of the above series is :a)Ab)Rc)Ed)Ne)TCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Letters of the word ‘ARRANGEMENT’ are first written in ascending order and then in descending order, and this process is continued. The (812)th letter of the above series is :a)Ab)Rc)Ed)Ne)TCorrect answer is option 'C'. Can you explain this answer?.
Letters of the word ‘ARRANGEMENT’ are first written in ascending order and then in descending order, and this process is continued. The (812)th letter of the above series is :a)Ab)Rc)Ed)Ne)TCorrect answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Letters of the word ‘ARRANGEMENT’ are first written in ascending order and then in descending order, and this process is continued. The (812)th letter of the above series is :a)Ab)Rc)Ed)Ne)TCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Letters of the word ‘ARRANGEMENT’ are first written in ascending order and then in descending order, and this process is continued. The (812)th letter of the above series is :a)Ab)Rc)Ed)Ne)TCorrect answer is option 'C'. Can you explain this answer?.
Solutions for Letters of the word ‘ARRANGEMENT’ are first written in ascending order and then in descending order, and this process is continued. The (812)th letter of the above series is :a)Ab)Rc)Ed)Ne)TCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of Letters of the word ‘ARRANGEMENT’ are first written in ascending order and then in descending order, and this process is continued. The (812)th letter of the above series is :a)Ab)Rc)Ed)Ne)TCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Letters of the word ‘ARRANGEMENT’ are first written in ascending order and then in descending order, and this process is continued. The (812)th letter of the above series is :a)Ab)Rc)Ed)Ne)TCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for Letters of the word ‘ARRANGEMENT’ are first written in ascending order and then in descending order, and this process is continued. The (812)th letter of the above series is :a)Ab)Rc)Ed)Ne)TCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of Letters of the word ‘ARRANGEMENT’ are first written in ascending order and then in descending order, and this process is continued. The (812)th letter of the above series is :a)Ab)Rc)Ed)Ne)TCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Letters of the word ‘ARRANGEMENT’ are first written in ascending order and then in descending order, and this process is continued. The (812)th letter of the above series is :a)Ab)Rc)Ed)Ne)TCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC 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