Defence Exam > Defence Questions > What is the largest value of n such that 10n ...
Start Learning for Free
What is the largest value of n such that 10n divides the product
25 × 33 × 48 × 43 × 67 × 76 × 812 × 99 × 106 × 1512 × 2014 × 2211 × 2515?
25 × 33 × 48 × 43 × 67 × 76 × 812 × 99 × 106 × 1512 × 2014 × 2211 × 2515?
- a)65
- b)55
- c)50
- d)45
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
What is the largest value of n such that 10n divides the product25 &ti...
For the number to be divisible by 10n , it must contain the same powers for 2 and 5
Power of 2 = 25+2.8+7+3.12+6+2.14 + 11 = 25+16+7+36+6+28+11 = 2109
Power of 5 = 53+6+12+14+2.15 = 565
Hence maximum possible power of 10 can be 65 only.
Power of 2 = 25+2.8+7+3.12+6+2.14 + 11 = 25+16+7+36+6+28+11 = 2109
Power of 5 = 53+6+12+14+2.15 = 565
Hence maximum possible power of 10 can be 65 only.
Most Upvoted Answer
What is the largest value of n such that 10n divides the product25 &ti...
To find the largest value of n such that 10n divides the product 25, we need to find the prime factorization of 25.
The prime factorization of 25 is 5^2, because 5*5=25.
To divide 10n, we need to have at least two factors of 5. Since 5^2 has two factors of 5, the largest value of n such that 10n divides the product 25 is n=2.
The prime factorization of 25 is 5^2, because 5*5=25.
To divide 10n, we need to have at least two factors of 5. Since 5^2 has two factors of 5, the largest value of n such that 10n divides the product 25 is n=2.
|
Explore Courses for Defence exam
|
|
Similar Defence Doubts
What is the largest value of n such that 10n divides the product25 × 33 × 48 × 43 × 67 × 76 × 812 × 99 × 106 × 1512 × 2014 × 2211 × 2515?a)65b)55c)50d)45Correct answer is option 'A'. Can you explain this answer?
Question Description
What is the largest value of n such that 10n divides the product25 × 33 × 48 × 43 × 67 × 76 × 812 × 99 × 106 × 1512 × 2014 × 2211 × 2515?a)65b)55c)50d)45Correct answer is option 'A'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about What is the largest value of n such that 10n divides the product25 × 33 × 48 × 43 × 67 × 76 × 812 × 99 × 106 × 1512 × 2014 × 2211 × 2515?a)65b)55c)50d)45Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the largest value of n such that 10n divides the product25 × 33 × 48 × 43 × 67 × 76 × 812 × 99 × 106 × 1512 × 2014 × 2211 × 2515?a)65b)55c)50d)45Correct answer is option 'A'. Can you explain this answer?.
What is the largest value of n such that 10n divides the product25 × 33 × 48 × 43 × 67 × 76 × 812 × 99 × 106 × 1512 × 2014 × 2211 × 2515?a)65b)55c)50d)45Correct answer is option 'A'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about What is the largest value of n such that 10n divides the product25 × 33 × 48 × 43 × 67 × 76 × 812 × 99 × 106 × 1512 × 2014 × 2211 × 2515?a)65b)55c)50d)45Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the largest value of n such that 10n divides the product25 × 33 × 48 × 43 × 67 × 76 × 812 × 99 × 106 × 1512 × 2014 × 2211 × 2515?a)65b)55c)50d)45Correct answer is option 'A'. Can you explain this answer?.
Solutions for What is the largest value of n such that 10n divides the product25 × 33 × 48 × 43 × 67 × 76 × 812 × 99 × 106 × 1512 × 2014 × 2211 × 2515?a)65b)55c)50d)45Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence.
Download more important topics, notes, lectures and mock test series for Defence Exam by signing up for free.
Here you can find the meaning of What is the largest value of n such that 10n divides the product25 × 33 × 48 × 43 × 67 × 76 × 812 × 99 × 106 × 1512 × 2014 × 2211 × 2515?a)65b)55c)50d)45Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
What is the largest value of n such that 10n divides the product25 × 33 × 48 × 43 × 67 × 76 × 812 × 99 × 106 × 1512 × 2014 × 2211 × 2515?a)65b)55c)50d)45Correct answer is option 'A'. Can you explain this answer?, a detailed solution for What is the largest value of n such that 10n divides the product25 × 33 × 48 × 43 × 67 × 76 × 812 × 99 × 106 × 1512 × 2014 × 2211 × 2515?a)65b)55c)50d)45Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of What is the largest value of n such that 10n divides the product25 × 33 × 48 × 43 × 67 × 76 × 812 × 99 × 106 × 1512 × 2014 × 2211 × 2515?a)65b)55c)50d)45Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice What is the largest value of n such that 10n divides the product25 × 33 × 48 × 43 × 67 × 76 × 812 × 99 × 106 × 1512 × 2014 × 2211 × 2515?a)65b)55c)50d)45Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Defence tests.
|
|
Explore Courses for Defence 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