Question : What should be the value in place of (?) in $7 \frac{5}{8}+\frac{5}{8}$ of $184 × 15 ÷ 5 - (?) = 0$.
Option 1: $-352 \frac{5}{8}$
Option 2: $152 \frac{1}{8}$
Option 3: $-152 \frac{1}{8}$
Option 4: $352 \frac{5}{8}$
Correct Answer: $352 \frac{5}{8}$
Solution : $7 \frac{5}{8}+\frac{5}{8}$ of $184 × 15 ÷ 5 - (?) = 0$ ⇒ $\frac{61}{8}+\frac{5}{8}\times{184} \times 15 \div 5 - (?) = 0$ ⇒ $\frac{61}{8}+\frac{5}{8}\times{184} \times 3 - (?) = 0$ ⇒ $\frac{61}{8}+345 - (?) = 0$ ⇒ $\frac{61+2760}{8} - (?) = 0$ ⇒ $\frac{2821}{8} - (?) = 0$ ⇒ $\frac{2821}{8} = (?)$ ⇒ $352\frac{5}{8} = (?)$ Hence, the correct answer is $352 \frac{5}{8}$.
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Question : The value of 7 ÷ [5 + 1 ÷ 2 - {4 + (4 of 2 ÷ 4) + (5 ÷ 5 of 2)}] is:
Option 1: $7$
Option 2: $\frac{7}{2}$
Option 3: $-7$
Option 4: $-\frac{7}{2}$
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 : The value of $\frac{5-2 \div 4 \times[5-(3-4)]+5 \times 4 \div 2 \text { of } 4}{4+4 \div 8 \text { of } 2 \times(8-5) \times 2 \div 3-8 \div 2 \text { of } 8}$ is:
Option 1: $\frac{9}{8}$
Option 2: $\frac{9}{4}$
Option 3: $\frac{15}{32}$
Option 4: $\frac{89}{4}$
Question : If $x^2+\frac{1}{x^2}=\frac{7}{4}$ for $x>0$, what is the value of $(x^3+\frac{1}{x^3})$?
Option 1: $\frac{3\sqrt{3}}{5}$
Option 2: $\frac{3\sqrt{15}}{5}$
Option 3: $\frac{3\sqrt{15}}{8}$
Option 4: $\frac{3\sqrt{5}}{8}$
Question : The value of 5 ÷ [5 + 8 – {4 + (4 of 2 ÷ 4) – (2 ÷ 4 of 2)}] is:
Option 1: $\frac{20}{23}$
Option 2: $\frac{5}{8}$
Option 3: $\frac{5}{7}$
Option 4: $\frac{20}{29}$
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