M 2 6. 20 - M-37 Find the value of 7 + 0 and 0 + 7. 2. Determine which of the following are divisible by '3'. (i) 4689 (ii) 726352 + 6 +879 - 27 32 Section - II Note: 1) Answer all the questions. 3) 52 (17 . 21 C-L What is the capacity of the largest vessel which can empty the oil from three vessels containing 10-litres, 15 litres and 25 litres an exact number of times.) 110,11,21
Answers
Step-by-step explanation:
Ncert solutions

Our top 5% students will be awarded a special scholarship to Lido.
Book a free class now
Set your child up for success with Lido, book a class today!
Book a free class now
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