SSC CGL Exam > SSC CGL Videos > Quantitative Aptitude for SSC CGL > Zeroes in a Factorial - Number Theory
Zeroes in a Factorial - Number Theory Video Lecture | Quantitative Aptitude for SSC CGL
|
314 videos|170 docs|185 tests
|
FAQs on Zeroes in a Factorial - Number Theory Video Lecture - Quantitative Aptitude for SSC CGL
| 1. How do you calculate the number of trailing zeroes in a factorial? |  |
Ans.To calculate the number of trailing zeroes in a factorial, you can use the formula:
\[ \text{Number of trailing zeroes} = \left\lfloor \frac{n}{5} \right\rfloor + \left\lfloor \frac{n}{25} \right\rfloor + \left\lfloor \frac{n}{125} \right\rfloor + \ldots \]
This formula sums the integer division of \( n \) by powers of 5 until the result is zero. Each term counts how many times 5 is a factor in the numbers from 1 to \( n \).
| 2. Why do trailing zeroes in a factorial come from the factor 10? | |
Ans.Trailing zeroes in a factorial come from the factor 10, which is the product of 2 and 5. In factorials, there are generally more factors of 2 than factors of 5, so the number of trailing zeroes is determined by the number of times 5 is a factor in the numbers leading up to \( n \).
| 3. What is the maximum number of trailing zeroes in \( 100! \)? | |
Ans.To find the maximum number of trailing zeroes in \( 100! \), we apply the formula:
\[ \left\lfloor \frac{100}{5} \right\rfloor + \left\lfloor \frac{100}{25} \right\rfloor = 20 + 4 = 24 \]
Therefore, \( 100! \) has 24 trailing zeroes.
| 4. Does the number of trailing zeroes in a factorial increase with larger \( n \)? | |
Ans.Yes, the number of trailing zeroes in a factorial generally increases with larger \( n \). This is because as \( n \) increases, there are more multiples of 5, which contribute additional factors of 5 to the factorial, thus increasing the number of trailing zeroes.
| 5. Can you provide an example of calculating trailing zeroes in \( 50! \)? | |
Ans.To calculate the number of trailing zeroes in \( 50! \), we use the formula:
\[ \left\lfloor \frac{50}{5} \right\rfloor + \left\lfloor \frac{50}{25} \right\rfloor = 10 + 2 = 12 \]
Thus, \( 50! \) has 12 trailing zeroes.
Related Exams
About this Video
|
15.2K Views |
|
4.86/5 Rating |
|
Nov 24, 2024 Last updated |
Video Description: Zeroes in a Factorial - Number Theory for SSC CGL 2024 is part of Quantitative Aptitude for SSC CGL preparation.
The notes and questions for Zeroes in a Factorial - Number Theory have been prepared according to the SSC CGL exam syllabus.
Information about Zeroes in a Factorial - Number Theory covers all important topics for SSC CGL 2024 Exam.
Find important definitions, questions, notes, meanings, examples, exercises and tests below for Zeroes in a Factorial - Number Theory.
Introduction of Zeroes in a Factorial - Number Theory in English is available as part of our Quantitative Aptitude for SSC CGL for SSC CGL & Zeroes in a Factorial - Number Theory in
Hindi for Quantitative Aptitude for SSC CGL course. Download more important topics related with notes, lectures and mock test series for
SSC CGL Exam by signing up for free.
Description
Video Lecture & Questions for Zeroes in a Factorial - Number Theory Video Lecture | Quantitative Aptitude for SSC CGL - SSC CGL full syllabus preparation | Free video for SSC CGL exam to prepare for Quantitative Aptitude for SSC CGL.
Information about Zeroes in a Factorial - Number Theory
Here you can find the meaning of Zeroes in a Factorial - Number Theory defined & explained in the simplest way possible.
Besides explaining types of Zeroes in a Factorial - Number Theory theory, EduRev gives you an ample number of questions to practice Zeroes in a Factorial - Number Theory tests,
examples and also practice SSC CGL tests.
|
314 videos|170 docs|185 tests
|
|
Explore Courses for SSC CGL exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
Extra Questions
,MCQs
,Important questions
,Exam
,Free
,Zeroes in a Factorial - Number Theory Video Lecture | Quantitative Aptitude for SSC CGL
,study material
,practice quizzes
,Summary
,Semester Notes
,Sample Paper
,Viva Questions
,Objective type Questions
,mock tests for examination
,shortcuts and tricks
,Zeroes in a Factorial - Number Theory Video Lecture | Quantitative Aptitude for SSC CGL
,video lectures
,Previous Year Questions with Solutions
,past year papers
,Zeroes in a Factorial - Number Theory Video Lecture | Quantitative Aptitude for SSC CGL
,ppt
;
Study Zeroes in a Factorial - Number Theory on the App
Students of SSC CGL can study Zeroes in a Factorial - Number Theory alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Zeroes in a Factorial - Number Theory,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of Zeroes in a Factorial - Number Theory is prepared as per the latest SSC CGL syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up
within 7 days!
within 7 days!
Takes less than 10 seconds to signup