3. Using divisibility test determine which of the
following is divisible by 6:
(a) 291444 (b) 30678 (c) 921654
(d) 128675 (e) 23486 (f) 70986
g) 80988 (h) 75626
4. Using divisibility test determine which of the
following is divisible by 11 :
(a) 504042 (b) 10824 (c) 7138965
(d) 70169400 (e) 70005001 (f) 92104164
Answers
3) Numbers are said to be divisible by 6, iff they add up to a multiple of 3, and is even
(a) Sum of digits = 2+9+1+4+4+4=24
Since 24 is a multiple of 3, and the no. is an even no., it is divisible by 6.
(b) Sum of digits = 3+0+6+7+8=21
21 is not a multiple of 3, and the no. is even.
So, 30678 is divisible by 6.
Repeat the same for all and u will get...
(c) divisible
(d) not divisible
(e)not divisible
(f)divisible
(g)divisible
4) A number is said to be divisible by 11, iff the sum/difference of its alternate digits is a multiple of 11, or the difference of the sum of alternate digits is 0.
(a)Sum of alternate digits = 5+4+4=13
0+0+2=2
Now, 13-2=11
Since the required criterion has been satisfied, we can say that the no. is divisible by 11.
Repeat the same for all, and u will get:
(b) divisible
(c) not divisible
(d)not divisible
(e)divisible
(f)divisible
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Co-prime number is a set of numbers or integers which have only 1 as their common factor i.e. their highest common factor (HCF) will be 1.
Co-prime numbers are also known as relatively prime or mutually prime numbers.