Question

(13. In each of the following numbers, replace by the smallest number to make it divisible
(til) 6702
(11) 8672
(iv) 62.35
(v)
12. In each of the following numbers, replace by the smallest ni
(1) 65*5
(11) 2-135
(iv) 91-67
(v) 6678.1
(v1) 835-86
by 11:
(1) 26-5
(11) 39.43
(iv) 467-91
(v) 17234
(vi) 9.8071
14. Test the divisibility of:
(1) 10000001 by 11
(11) 19083625 by 11 (11) 2134563 by 9
(iv) 1000 1001 by 3
(v) 10203574 by 4 (vi) 12030624 by 8
15. Which of the following are prime numbers?
(1) 103
(11) 137
(Ill) 161
(iv) 179
(v) 217
(vi) 277
(vii) 331
(viii) 397
16. Give an example of a number
(1) which is divisible by 2 but not by 4.
(ii) which is divisible by 4 but not by 8.
(111) which is divisible by both 2 and 8 but not by 16.
(iv) which is divisible by both 3 and 6 but not by 18.
17. Write (T) for true and (F) for false against each of the following statements:
(1) If a number is divisible by 4, it must be divisible by 8.
(ii) If a number is divisible by 8, it must be divisible by 4.
(iii) If a number divides the sum of two numbers exactly, it must exactly divide the nu
bers separately.
(iv) If a number is divisible by both 9 and 10. it must be divisible by 90.
Hint. 9 and 10 are co-primes.
(v) A number is divisible by 18 if it is divisible by both 3 and 6.
Hint. 3 and 6 are not co-primes. Consider 186.​

Answer 1

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