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Question

If f and g two function defined on N such that f(x)={2n1if n isven2n+2if is odd and g(n)=f(n)+f(n+1).)
Then range of g is

A
{mϵN:m= multiple of 4}
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B
setofevennaturalnumber
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C
{mϵN:m=4k+3,kisa natural number}
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D
mϵN:m=multiple of 3 or multiple of 4
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Solution

The correct option is A {mϵN:m= multiple of 4}
(15)20÷(15)15=(15)5x
on L.H.S. bases are same the operation is division, so powers are subtracted, i.e
(15)2015=(15)5x
(15)5=(15)5x
bases are same , so powers are equated,
5=5x
x=1 Answer.


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