Question : What is the value of the given expression? $\frac{1}{12}+\frac{1}{16}+\frac{1}{8}$
Option 1: $\frac{13}{48}$
Option 2: $\frac{10}{72}$
Option 3: $\frac{3}{48}$
Option 4: $\frac{13}{18}$
Correct Answer: $\frac{13}{48}$
Solution : $\frac{1}{12}+\frac{1}{16}+\frac{1}{8}$ = $\frac{4+3+6}{48}$ = $\frac{13}{48}$ Hence, the correct answer is $\frac{13}{48}$.
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Question : What is the simplified value of $\left(1-\frac{1}{4-\frac{2}{1+\frac{1}{\frac{1}{3}+2}}}\right) \times \frac{15}{16} \div \frac{2}{3}$ of $2 \frac{1}{4}-\frac{3+4}{3^3+4^3}$
Option 1: $\frac{5}{13}$
Option 2: $\frac{4}{13}$
Option 3: $\frac{8}{13}$
Option 4: $\frac{6}{13}$
Question : What is the simplified value of $(3+1)(3^{2}+1)(3^{4}+1)(3^{8}+1)(3^{16}+1)$?
Option 1: $\frac{(3^{32}-1)}{2}$
Option 2: $\frac{(3^{16}-1)}{2}$
Option 3: $\frac{(3^{64}-1)}{2}$
Option 4: $\frac{(3^{128}-1)}{2}$
Question : The value of $6 \frac{8}{15}÷\frac{7}{9}$ of $\left(1 \frac{1}{10}+5 \frac{1}{5}\right)+\frac{2}{5}÷7 \frac{1}{5}$ is:
Option 1: $\frac{25}{16}$
Option 2: $\frac{5}{14}$
Option 3: $\frac{25}{18}$
Option 4: $\frac{5}{18}$
Question : What is the simplified value of: $7 \frac{1}{3} \div 2 \frac{1}{2}$ of $1 \frac{3}{5}-\left(\frac{3}{8}+\frac{1}{7} \times 1 \frac{3}{4}\right)-\frac{5}{24}$
Option 1: $1$
Option 2: $2$
Option 3: $\frac{1}{24}$
Option 4: $\frac{1}{12}$
Question : Find the value of the following expression. $\frac{\left[\frac{5}{8}-\left\{\frac{3}{8}-\left(\frac{5}{8}-\frac{3}{8}\right)\right\}\right] \text { of } 8.8-1.2}{4 \frac{1}{6} \div 2.5 \times 2 \div \frac{1}{6} \text { of } 60+\left(\frac{3}{4}-\frac{3}{8}\right)}$
Option 1: $5 \frac{22}{43}$
Option 2: $3 \frac{23}{67}$
Option 3: $4 \frac{44}{85}$
Option 4: $4 \frac{4}{5}$
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