Class 10 Exam > Class 10 Questions > The largest number which divides 70 and 125,l...
Start Learning for Free
The largest number which divides 70 and 125,leaving remainders 5 & 8,respectively?why? a).13 b).65 c).875 d).1750 "THE WRITE OPTION IS (a)".?
Most Upvoted Answer
The largest number which divides 70 and 125,leaving remainders 5 & 8,r...
70-5=65 &
125-8=117
Prime factors of
65=5×13
117=3×3×13
H.C.F.=13
option no.(a)
125-8=117
Prime factors of
65=5×13
117=3×3×13
H.C.F.=13
option no.(a)
Community Answer
The largest number which divides 70 and 125,leaving remainders 5 & 8,r...
Explanation:
The largest number which divides 70 and 125 leaving remainders 5 and 8 respectively can be found using the concept of the Highest Common Factor (HCF) or Greatest Common Divisor (GCD).
Step 1: Finding the Divisors of the Differences
- The difference between 70 and 5 is 65
- The difference between 125 and 8 is 117
Step 2: Finding the Common Factors
- We need to find the common factors of 65 and 117
- The common factors of 65 are 1, 5, 13, and 65
- The common factors of 117 are 1, 3, 9, 13, 39, and 117
Step 3: Determining the Largest Common Factor
- The largest common factor between 65 and 117 is 13
Therefore, the largest number which divides 70 and 125 leaving remainders 5 and 8 respectively is 13. This is why the correct option is (a) 13.
Explanation:
The largest number which divides 70 and 125 leaving remainders 5 and 8 respectively can be found using the concept of the Highest Common Factor (HCF) or Greatest Common Divisor (GCD).
Step 1: Finding the Divisors of the Differences
- The difference between 70 and 5 is 65
- The difference between 125 and 8 is 117
Step 2: Finding the Common Factors
- We need to find the common factors of 65 and 117
- The common factors of 65 are 1, 5, 13, and 65
- The common factors of 117 are 1, 3, 9, 13, 39, and 117
Step 3: Determining the Largest Common Factor
- The largest common factor between 65 and 117 is 13
Therefore, the largest number which divides 70 and 125 leaving remainders 5 and 8 respectively is 13. This is why the correct option is (a) 13.
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
|
|
Top Courses for Class 10View all
The largest number which divides 70 and 125,leaving remainders 5 & 8,respectively?why? a).13 b).65 c).875 d).1750 "THE WRITE OPTION IS (a)".?
Question Description
The largest number which divides 70 and 125,leaving remainders 5 & 8,respectively?why? a).13 b).65 c).875 d).1750 "THE WRITE OPTION IS (a)".? 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 The largest number which divides 70 and 125,leaving remainders 5 & 8,respectively?why? a).13 b).65 c).875 d).1750 "THE WRITE OPTION IS (a)".? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The largest number which divides 70 and 125,leaving remainders 5 & 8,respectively?why? a).13 b).65 c).875 d).1750 "THE WRITE OPTION IS (a)".?.
The largest number which divides 70 and 125,leaving remainders 5 & 8,respectively?why? a).13 b).65 c).875 d).1750 "THE WRITE OPTION IS (a)".? 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 The largest number which divides 70 and 125,leaving remainders 5 & 8,respectively?why? a).13 b).65 c).875 d).1750 "THE WRITE OPTION IS (a)".? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The largest number which divides 70 and 125,leaving remainders 5 & 8,respectively?why? a).13 b).65 c).875 d).1750 "THE WRITE OPTION IS (a)".?.
Solutions for The largest number which divides 70 and 125,leaving remainders 5 & 8,respectively?why? a).13 b).65 c).875 d).1750 "THE WRITE OPTION IS (a)".? 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 The largest number which divides 70 and 125,leaving remainders 5 & 8,respectively?why? a).13 b).65 c).875 d).1750 "THE WRITE OPTION IS (a)".? defined & explained in the simplest way possible. Besides giving the explanation of
The largest number which divides 70 and 125,leaving remainders 5 & 8,respectively?why? a).13 b).65 c).875 d).1750 "THE WRITE OPTION IS (a)".?, a detailed solution for The largest number which divides 70 and 125,leaving remainders 5 & 8,respectively?why? a).13 b).65 c).875 d).1750 "THE WRITE OPTION IS (a)".? has been provided alongside types of The largest number which divides 70 and 125,leaving remainders 5 & 8,respectively?why? a).13 b).65 c).875 d).1750 "THE WRITE OPTION IS (a)".? theory, EduRev gives you an
ample number of questions to practice The largest number which divides 70 and 125,leaving remainders 5 & 8,respectively?why? a).13 b).65 c).875 d).1750 "THE WRITE OPTION IS (a)".? 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