Class 10 Exam > Class 10 Questions > Find the sum of 3-digit numbers which leave r...
Start Learning for Free
Find the sum of 3-digit numbers which leave remainder 1, when divided by 2. Can do anyone!?
Most Upvoted Answer
Find the sum of 3-digit numbers which leave remainder 1, when divided ...
Solution:
Step 1: Finding the 3-digit numbers which leave remainder 1 when divided by 2
- Every even number leaves no remainder when divided by 2
- Every odd number leaves remainder 1 when divided by 2
- Therefore, the 3-digit numbers which leave remainder 1 when divided by 2 are the odd numbers between 100 and 999
Step 2: Finding the sum of odd numbers between 100 and 999
- The sum of odd numbers between 1 and n is given by the formula: n^2
- To find the sum of odd numbers between 100 and 999, we need to find the sum of odd numbers between 1 and 999 and subtract the sum of odd numbers between 1 and 99
- The sum of odd numbers between 1 and 999 is 499^2 = 249001
- The sum of odd numbers between 1 and 99 is 50^2 = 2500
- Therefore, the sum of odd numbers between 100 and 999 is 249001 - 2500 = 246501
Step 3: Conclusion
- The sum of 3-digit numbers which leave remainder 1 when divided by 2 is 246501.
Step 1: Finding the 3-digit numbers which leave remainder 1 when divided by 2
- Every even number leaves no remainder when divided by 2
- Every odd number leaves remainder 1 when divided by 2
- Therefore, the 3-digit numbers which leave remainder 1 when divided by 2 are the odd numbers between 100 and 999
Step 2: Finding the sum of odd numbers between 100 and 999
- The sum of odd numbers between 1 and n is given by the formula: n^2
- To find the sum of odd numbers between 100 and 999, we need to find the sum of odd numbers between 1 and 999 and subtract the sum of odd numbers between 1 and 99
- The sum of odd numbers between 1 and 999 is 499^2 = 249001
- The sum of odd numbers between 1 and 99 is 50^2 = 2500
- Therefore, the sum of odd numbers between 100 and 999 is 249001 - 2500 = 246501
Step 3: Conclusion
- The sum of 3-digit numbers which leave remainder 1 when divided by 2 is 246501.
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
Find the sum of 3-digit numbers which leave remainder 1, when divided by 2. Can do anyone!?
Question Description
Find the sum of 3-digit numbers which leave remainder 1, when divided by 2. Can do anyone!? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Find the sum of 3-digit numbers which leave remainder 1, when divided by 2. Can do anyone!? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the sum of 3-digit numbers which leave remainder 1, when divided by 2. Can do anyone!?.
Find the sum of 3-digit numbers which leave remainder 1, when divided by 2. Can do anyone!? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Find the sum of 3-digit numbers which leave remainder 1, when divided by 2. Can do anyone!? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the sum of 3-digit numbers which leave remainder 1, when divided by 2. Can do anyone!?.
Solutions for Find the sum of 3-digit numbers which leave remainder 1, when divided by 2. Can do anyone!? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of Find the sum of 3-digit numbers which leave remainder 1, when divided by 2. Can do anyone!? defined & explained in the simplest way possible. Besides giving the explanation of
Find the sum of 3-digit numbers which leave remainder 1, when divided by 2. Can do anyone!?, a detailed solution for Find the sum of 3-digit numbers which leave remainder 1, when divided by 2. Can do anyone!? has been provided alongside types of Find the sum of 3-digit numbers which leave remainder 1, when divided by 2. Can do anyone!? theory, EduRev gives you an
ample number of questions to practice Find the sum of 3-digit numbers which leave remainder 1, when divided by 2. Can do anyone!? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
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