Question : The simplified value of $\frac{(0.0539 -0.002)×0.4+ 0.56 × 0.07}{0.04×0.25}=?$
Option 1: 59.96
Option 2: 0.5996
Option 3: 5.996
Option 4: 599.6
Correct Answer: 5.996
Solution : $\frac{(0.0539 - 0.002)×0.4+ 0.56 × 0.07}{0.04×0.25}$ = $\frac{0.0519×0.4+ 0.56 × 0.07}{0.0100}$ = $\frac{0.02076+ 0.0392}{0.0100}$ = $\frac{0.05996}{0.0100}$ = 5.996 Hence, the correct answer is 5.996.
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Question : The value of the following expression $\frac{0.2×0.02×0.002×32}{0.4×0.04×0.004×16}$ is:
Option 1: 0.20
Option 2: 0.50
Option 3: 0.4
Option 4: 0.25
Question : If $\sqrt{0.04\times 0.4\times a}=0.004\times 0.4\times \sqrt{b},$ then the value of $\frac{a}{b}$ is:
Option 1: $16\times 10^{-3}$
Option 2: $16\times 10^{-4}$
Option 3: $16\times 10^{-5}$
Option 4: $16 \times 10^{-6}$
Question : The simplified value of (0.2)3 × 400 ÷ 2000 of (0.2)2 is:
Option 1: $\frac{1}{25}$
Option 2: $\frac{3}{25}$
Option 3: $\frac{2}{25}$
Option 4: $\frac{1}{50}$
Question : What is the value of $\small \frac{(0.7)^{3}-(0.4)^{3}}{(0.7)^{2}+0.7\times 0.4+(0.4)^{2}}$?
Option 1: 0.3
Option 2: 0.7
Option 3: 0.9
Option 4: 1.1
Question : What is the simplified value of $\left(1-\frac{1}{4-\frac{2}{1+\frac{1}{\frac{1}{3}+2}}}\right) \times \frac{15}{16} \div \frac{2}{3}$ of $2 \frac{1}{4}-\frac{3+4}{3^3+4^3}$
Option 1: $\frac{5}{13}$
Option 2: $\frac{4}{13}$
Option 3: $\frac{8}{13}$
Option 4: $\frac{6}{13}$
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