Class 5 Exam > Class 5 Questions > The product of two numbers is 2028 and their ...
Start Learning for Free
The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is :
- a)1
- b)2
- c)3
- d)4
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The product of two numbers is 2028 and their H.C.F. is 13. The number ...
Let the numbers 13a and 13b. Then, 13a × 13b = 2028
ab = 12.
Now, the co-primes with product 12 are (1, 12) and (3, 4).
So, the required numbers are (13 × 1, 13 × 12) and (13 × 3, 13 × 4).
Clearly, there are 2 such pairs.
ab = 12.
Now, the co-primes with product 12 are (1, 12) and (3, 4).
So, the required numbers are (13 × 1, 13 × 12) and (13 × 3, 13 × 4).
Clearly, there are 2 such pairs.
Most Upvoted Answer
The product of two numbers is 2028 and their H.C.F. is 13. The number ...
Given Information:
The product of two numbers is 2028 and their H.C.F. is 13.
Solution:
Finding the Prime Factorization of 2028:
- The prime factorization of 2028 is 2 x 2 x 3 x 13 x 13.
Finding the pairs of numbers:
- Since the H.C.F. is 13, the two numbers must have 13 as a factor.
- Therefore, the two numbers can be written as 13a and 13b, where a and b are coprime.
- The product of the two numbers is 2028, so (13a)(13b) = 2028.
- Simplifying, we get ab = 12.
Finding the pairs:
- The pairs of numbers that satisfy ab = 12 are:
- (1, 12) and (12, 1)
- (2, 6) and (6, 2)
- (3, 4) and (4, 3)
Number of such pairs:
- There are 2 pairs of numbers that satisfy the given conditions.
- Therefore, the number of such pairs is 2.
Therefore, the correct answer is option B) 2.
The product of two numbers is 2028 and their H.C.F. is 13.
Solution:
Finding the Prime Factorization of 2028:
- The prime factorization of 2028 is 2 x 2 x 3 x 13 x 13.
Finding the pairs of numbers:
- Since the H.C.F. is 13, the two numbers must have 13 as a factor.
- Therefore, the two numbers can be written as 13a and 13b, where a and b are coprime.
- The product of the two numbers is 2028, so (13a)(13b) = 2028.
- Simplifying, we get ab = 12.
Finding the pairs:
- The pairs of numbers that satisfy ab = 12 are:
- (1, 12) and (12, 1)
- (2, 6) and (6, 2)
- (3, 4) and (4, 3)
Number of such pairs:
- There are 2 pairs of numbers that satisfy the given conditions.
- Therefore, the number of such pairs is 2.
Therefore, the correct answer is option B) 2.
Attention Class 5 Students!
To make sure you are not studying endlessly, EduRev has designed Class 5 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 5.
|
Explore Courses for Class 5 exam
|
|
Top Courses for Class 5View all
The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is :a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer?
Question Description
The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is :a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is :a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is :a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer?.
The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is :a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer? for Class 5 2024 is part of Class 5 preparation. The Question and answers have been prepared according to the Class 5 exam syllabus. Information about The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is :a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 5 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is :a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer?.
Solutions for The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is :a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 5.
Download more important topics, notes, lectures and mock test series for Class 5 Exam by signing up for free.
Here you can find the meaning of The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is :a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is :a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer?, a detailed solution for The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is :a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is :a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is :a)1b)2c)3d)4Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Class 5 tests.
|
|
Explore Courses for Class 5 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