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:

• A. 44/256
• B. 948/255
• C. 255/948
• D. 945/256

Answer 1

Answer: (C), (D)

The correct options are
C

255/948

D

945/256

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

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