Question : The value of $0.4 \overline{6}+0.7 \overline{23}-0.3 \overline{9} \times 0. \overline{7}$ is:
Option 1: $0.\overline{97}$
Option 2: $0.\overline{57}$
Option 3: $0.\overline{77}$
Option 4: $0.\overline{87}$
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Correct Answer: $0.\overline{87}$
Solution : $0.4 \overline{6}+0.7 \overline{23}-0.3 \overline{9} \times 0. \overline{7}$ = $\frac{46-4}{90} + \frac{723-7}{990} - \frac{39-3}{90} × \frac{7}{9}$ = $\frac{42}{90} + \frac{716}{990} - (\frac{36}{90} × \frac{7}{9})$ = $\frac{42}{90} + \frac{716}{990} - \frac{28}{90}$ = $\frac{14}{90} + \frac{716}{990}$ = $\frac{154+716}{990}$ = $\frac{870}{990}$ = 0.878787.... = $0.\overline{87}$ Hence, the correct answer is $0.\overline{87}$.
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Question : The value of $0. \overline{57}-0.4 \overline{32}+0.3 \overline{5}$ is:
Option 1: $0.4 \overline{98}$
Option 2: $0.4 \overline{94}$
Option 3: $0. \overline{498}$
Option 4: $0. \overline{495}$
Question : The value of $\frac{0.7× 0.7× 0.7+0.3 × 0.3 × 0.3}{0.7 × 0.7-0.7× 0.3+0.3 × 0.3}$ is_____.
Option 1: 2
Option 2: 1
Option 3: 3
Option 4: – 1
Question : The value of $11. \overline{4}+22.5 \overline{67}-33.5 \overline{9}$ is:
Option 1: $40. \overline{12}$
Option 2: $4. \overline{12}$
Option 3: $0.4\overline{12}$
Option 4: $0.04\overline{12}$
Question : If $\mathrm{A}=0.3 \overline{12}, \mathrm{~B}=0.4 \overline{15}$ and $\mathrm{C}=0.30 \overline{9}$, then what is the value of $A + B + C$?
Option 1: $\frac{1141}{1100}$
Option 2: $\frac{1097}{1100}$
Option 3: $\frac{1211}{1100}$
Option 4: $\frac{1043}{1100}$
Question : Directions: By Interchanging the given two numbers which of the following equations will be not correct? 7 and 4
Option 1: 8 ÷ 6 × 9 + 7 – 4 = 12
Option 2: 7 × 8 + 4 – 6 ÷ 3 = 37
Option 3: 9 – 4 × 3 + 6 × 7 ÷ 1 = 12
Option 4: 4 × 8 – 9 ÷ 3 + 7 = 57
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