Numbers lying between $42^{2}$ & $43^{2}$ are:

24

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48

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84

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20

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Solution

The correct option is B $84$
There are $2 n$ number of non square numbers between $n^{2}$ and $(n + 1)^{2}$ .
$2 n = 2 \times 42 = 84$
$84$ numbers lie between $42^{2}$ and $43^{2}$ .

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sin 20^{\circ} sin 24^{\circ} sin 48^{\circ} sin 84^{\circ}

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