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Statement 1: If two numbers are co-primes, at least one of them must be prime.


Statement 2: If a number exactly divides the sum of two numbers, it must exactly divide the two numbers separately. 


Statement 3: If a number exactly divides two numbers, then it must also divide the sum of both numbers.


Options:
A .   True, True, False
B .   False,False,True
C .   False, True, True
D .   True, True, True
Answer: Option B
:
B

Take an example and visualize-


i)9 and 4 are co-prime but none of them are prime.


ii)Now, 14 divides 28, but it does not divide 12 and 16.


 


iii)4 divides 12 and 16 separately


4 also divides 12+16 = 28



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