Question : The value of $(1018)^2-1019 \times 1017+1015 \times 1012-1016 \times 1011$ is:
Option 1: 1
Option 2: 4
Option 3: 3
Option 4: 5
Correct Answer: 5
Solution : Given expression, $(1018)^2-1019 × 1017+1015 × 1012-1016 × 1011$ $= (1018)^2-(1018+1)(1018-1)+1015×1012-(1015+1)(1012-1)$ $= (1018)^2-(1018)^2+(1)^2+(1015×1012)-(1015×1012)+1015-1012+1$ $= 1+3+1$ $=5$ Hence, the correct answer is 5.
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Question : The value of $\frac{5-[2+3(2-2 \times 2+5)-5] \div 5}{4 \times 4 \div 4 \text { of }(4+4 \div 4 \text { of } 4)}$ is:
Option 1: $3 \frac{3}{16}$
Option 2: $4 \frac{3}{80}$
Option 3: $\frac{2}{5}$
Option 4: $7 \frac{3}{5}$
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 : What is the positive value of the following expression? $\sqrt{36 \div 15 \text { of } 2 \text { of }[25 \times 4 \div 4 \text { of }\{29-(8-11) \div(9 \times 5 \div 5 \text { of } 3)\}]}$
Option 1: $1 \frac{5}{6}$
Option 2: $1 \frac{1}{5}$
Option 3: $2 \frac{4}{5}$
Option 4: $2 \frac{3}{5}$
Question : The value of $\frac{\frac{5}{2}-\frac{3}{7} \times 1 \frac{4}{5} \div 3 \frac{6}{7}}{\frac{3}{2}+1 \frac{2}{5} \div 3 \frac{1}{2} \times 1 \frac{1}{4}}$ is:
Option 1: $2 \frac{3}{20}$
Option 2: $1\frac{2}{20}$
Option 3: $1 \frac{3}{20}$
Option 4: $1 \frac{7}{20}$
Question : The value of $\frac{1 \frac{1}{2} \div 3 \frac{1}{4}+\frac{1}{2} \div \frac{13}{14}+\frac{1}{5}}{\frac{1}{5} \times 3 \frac{1}{2}-\frac{1}{3} \div 1 \frac{3}{4} \times 3 \frac{1}{2}}$ is:
Option 1: 33
Option 2: 36
Option 3: 38
Option 4: 40
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