Aptitude Question ID : 92864

The next term of the sequence \frac{1}{2}, 3\frac{1}{4}, 6, 8\frac{3}{4}, ... is :
[A]10\frac{3}{4}
[B]11\frac{1}{2}
[C]10\frac{1}{4}
[D]11\frac{1}{4}

\mathbf{11\frac{1}{2}}
Given sequence,
\frac{1}{2}, 3\frac{1}{4}, 6, 8\frac{3}{4}, ...
= 0.5\xrightarrow{+2.75}3.25\xrightarrow{+2.75}6\xrightarrow{+2.75}8.75\xrightarrow{+2.75}\underline{11.5}
∴ Next term of the sequence = 8.75 + 2.75 = 11.5 = 11\frac{1}{2}
Hence option [B] is the right answer.

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