1 2 × ( 1 + 1 4 ) × ( 1 + 2 4 ) × ( 1 + 3 4 ) × ( 1 + 5 4 ) is equal to: Options: A . &nbsp 44 256 B . &nbsp 948 255 C . &nbsp 1890 512 D . &nbsp 945 256

Answer: Option C : C and D 1 2 × ( 1 + 1 4 ) × ( 1 + 2 4 ) × ( 1 + 3 4 ) × ( 1 + 5 4 ) = 1 2 × 5 4 × 6 4 × 7 4 × 9 4 = 945 256

12×(1+14)×(1+24)×(1+34)×(1+54) is equal to:

Question

$\frac{1}{2} \times (1 + \frac{1}{4}) \times (1 + \frac{2}{4}) \times (1 + \frac{3}{4}) \times (1 + \frac{5}{4}$ ) is equal to:

Options:

A .

\frac{44}{256}

B .

\frac{948}{255}

C .

\frac{1890}{512}

D .

\frac{945}{256}

Answer: Option C
:
C and D

$\frac{1}{2} \times (1 + \frac{1}{4}) \times (1 + \frac{2}{4}) \times (1 + \frac{3}{4}) \times (1 + \frac{5}{4}$ )

= $\frac{1}{2} \times \frac{5}{4} \times \frac{6}{4} \times \frac{7}{4} \times \frac{9}{4} = \frac{945}{256}$

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