Question : $\frac{1}{7}$+(999$\frac{692}{693})$×99 is equal to ___.
Option 1: 1
Option 2: 99000
Option 3: 99800
Option 4: 99900
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Correct Answer: 99000
Solution : $\frac{1}{7}$ + (999$\frac{692}{693})$×99 = $\frac{1}{7}$ + $(\frac{692999}{693})$×99 = $\frac{1}{7}$ + $(\frac{692999}{7})$ = $\frac{693000}{7}$ = 99000 Hence, the correct answer is 99000.
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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: $2 \frac{3}{7}$
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 : What is the value of $x$? $\frac{3}{2}× \frac{7}{3} ÷ \frac{7}{6}+\frac{1}{4}=\frac{1}{x}$
Option 1: $\frac{7}{12}$
Option 2: $\frac{4}{13}$
Option 3: $\frac{13}{4}$
Option 4: $\frac{6}{7}$
Question : What is the value of $\frac{7 \times 4 \div 8}{5 \times 25 \div 125}+\frac{5 \times 4 \div 8}{8 \times 4 \div 16}-\frac{7 \times 4 \div 2}{8 \times 7 \div 4}$?
Option 1: $4$
Option 2: $\frac{13}{4}$
Option 3: $\frac{15}{4}$
Option 4: $\frac{9}{2}$
Question : Find the sum of the first five terms of the following series: $\frac{1}{1×4} + \frac{1}{4×7}+\frac{1}{7×10}+...$
Option 1: $\frac{9}{32}$
Option 2: $\frac{7}{16}$
Option 3: $\frac{5}{16}$
Option 4: $\frac{1}{210}$
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