Fill in the boxes with Yes or No. One is done for you. Number Divisible Divisible Divisible Divisible Divisible Divisible Divisible by 2 by 3 by4 by 5 by 6 byg by 10 Yes No Yes No No No No 56 512 257 1006 2809 1464 5134 5175 3080 98186
Answers
Answer:
Ncert solutions
Our top 5% students will be awarded a special scholarship to Lido.
Set your child up for success with Lido, book a class today!
Mathematics
Chapters in NCERT Solutions - Mathematics, Class 6
Exercises in Playing With Numbers
Question 4
Q4) Using divisibility tests, determine which of the following numbers are divisible by 11:
(a) 5445 (b) 10824 (c) 7138965 (d) 70169308 (e) 10000001
(f) 901153
Solution
Transcript
SOLUTION: divisibility by 11: if the difference between the sum of the digits at odd places and the sum of digits on even places of the number is either 0 or 11 it is divisible by 11
i) 5445
the sum of the odd places 5+4=9
the sum of the even places 4+5=9
9-9=0
since the difference between the sum of the odd places and the sum of even places is 0
it is divisible by 11.
ii) 10824
the sum of the odd places 1+8+4=13
the sum of the even places 0+2=2
13-2=11
since the difference between the sum of the odd places and the sum of even places is 11
it is divisible by 11.
iii) 7138965
the sum of the odd places 7+3+9+5=24
the sum of the even places 1+8+6=15
24-15=9
since the difference between the sum of the odd places and the sum of even places is 19
it is not divisible by 11.
iv) 70169308
the sum of the odd places 7+1+9+0=17
the sum of the even places 0+6+3+8=17
17-17=0
since the difference between the sum of the odd places and the sum of even places is 0
it is divisible by 11.
v) 10000001
the sum of the odd places 1+0+0+0=1
the sum of the even places 0+0+0+1=1
1-1=0
since the difference between the sum of the odd places and the sum of even places is 0
it is divisible by 11.
vi) 901153
the sum of the odd places 9+1+5=15
the sum of the even places 0+1+3=4
15-4=11
since the difference between the sum of the odd places and the sum of even places is 11
it is divisible by 11.
Our top 5% students will be awarded a special scholarship to Lido.
Lido
Home
Young Leaders Scholarship
Pricing
Testimonials
Careers
Contact Us
Try a Class
Join class
Courses
Coding
English
Maths
Science
Headstart
Teachers
Teaching At Lido
Meet The Teachers
Apply Now
Book a Demo with us
Maths
Science
English
Coding
Headstart
Syllabus
Maths
Grade 4
Grade 5
Grade 6
Grade 7
Grade 8
Grade 9
All Stars
Grade 9
Scholars
Grade 10
Lido Headstart
Kindergarten
Grade 1
Grade 2
Grade 3
Science
Grade 4
Grade 5
Grade 6
Grade 7
Grade 8
Grade 9
All Stars
Grade 9
Scholars
Grade 10
English
Grade 4
Grade 5
Grade 6
Grade 7
Grade 8
Grade 9
Grade 10
Coding
Grade 4
Grade 5
Grade 6
Grade 7
Grade 8
Grade 9
Quick Links
Login
Book a free class now
Test My System
Terms & Policies
Privacy Policy
Terms of Services
Payments and Refunds
EMI Terms and Conditions
Sitemap
NCERT Question Bank
Maths
Class 6
Class 7
Class 8
Science
Class 6
Class 7
Class 8
Selina Question Bank
Maths
Class 6
Class 7
Class 8
Physics
Class 6
Class 7
Class 8
Biology
Class 6
Class 7
Class 8
Allied Question Bank
Chemistry
Class 6
Class 7
Class 8
Connect with us on social media!
2021 © Quality Tutorials Pvt Ltd All rights reserved
`