The most basic compound in aqueous solution is:

{N H}_{3}

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{C H}_{3} {N H}_{2}

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H N {({C H}_{3})}_{2}

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N {({C H}_{3})}_{3}

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Solution

The correct option is D $H N {({C H}_{3})}_{2}$
The combined effect of the pushing effect of the alkyl group (+I effect), steric hindrance and the solvation of amines causes the basicity order to be:
$N H_{3} < t e r t i a r y a m i n e < p r i m a r y a m i n e < s e c o n d a r y a m i n e$ .

$H N (C H_{3})_{2}$ is secondary amine. So it is most basic.

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{N H}_{3}

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{C H}_{3} {N H}_{2}, {({C H}_{3})}_{2} N H, {({C H}_{3})}_{3} N

R is C H_{3}

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