Question : Simplify the given expression. $40 \times 7-2 \times\left(11^3 \div 11\right) \div 22+30$
Option 1: 297
Option 2: 298
Option 3: 300
Option 4: 299
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Correct Answer: 299
Solution : $40 \times 7-2 \times\left(11^3 \div 11\right) \div 22+30$ $=40 \times 7-2 \times(11^2) \div 22+30$ $=40 \times 7-2 \times(\frac{11}{2}) +30$ $=40 \times 7-11 +30$ $=280-11 +30$ $=310-11$ $=299$ Hence, the correct answer is 299.
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Question : Simplify the given expression $\frac{4\left[(17)^3-(7)^3\right]}{(17)^2+(7)^2+119}$
Option 1: 40
Option 2: 50
Option 3: 60
Option 4: 30
Question : The value of $\left(\frac{2+7 \times 7 \div 9 \text { of } 9+6 \div 6 \times 2}{4 \div 4 \text { of } 5+7 \times 7 \div 7-6+4}\right)$ is:
Option 1: $\frac{1734}{2407}$
Option 2: $\frac{1865}{2106}$
Option 3: $\frac{1857}{2507}$
Option 4: $\frac{1664}{2305}$
Question : The value of $2 \frac{3}{5} \div\left[2 \frac{1}{3} \div\left\{4 \frac{1}{3}-\left(2 \frac{1}{2}+\frac{2}{3}\right)\right\}\right]$ is equal to:
Option 1: $1 \frac{3}{10}$
Option 2: $2 \frac{7}{10}$
Option 3: $2 \frac{3}{7}$
Option 4: $1 \frac{3}{7}$
Question : Simplify the expression: $\frac{a+b}{a-b} \div \frac{(a+b)^2}{\left(a^2-b^2\right)}$
Option 1: $–1$
Option 2: $(a + b)$
Option 3: $0$
Option 4: $1$
Question : The value of $\frac{3+8 \times 8 \div 8 \text { of } 8+7 \div 7 \times 2}{5 \div 5 \text { of } 4+3 \times 3 \div 3-3+2}$ is:
Option 1: $1 \frac{3}{5}$
Option 2: $2 \frac{2}{3}$
Option 3: $1 \frac{4}{7}$
Option 4: $2 \frac{3}{7}$
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