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Simplification Test 1

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Question : 12 of 40

Marks: +1, -0

45% of

\sqrt{2025} \div 0.01 = x^2 \div 25

3
$(81)^2$
81
9
None of these

Solution: 👈: Video Solution

45\%

of

(\sqrt{2025} \div 0.01 = x^2 \div 25)

\Rightarrow 45\%

of

\frac{45}{0.01} = x^2 + 25

\Rightarrow \left( \frac{45}{100} \right) \times 45 \div 0.01 = x^2 \div 25

\Rightarrow 20.25 \div 0.01 = x^2 \div 25

\Rightarrow 2025 = x^2 \div 25

\Rightarrow 2025 \times 25 = x^2

\Rightarrow x^2 = 50625

x = \pm 225

(OR)

\sqrt{2025} \times \; \frac{45}{100} \div 0.01 = \; \frac{2^2}{25}

\Rightarrow 45 \times \; \frac{45}{100} = \; \frac{?^2}{25}

\Rightarrow ?^2 = 45 \times 45 \times 25 = 5^2 \times 5^2 \times 3^2 \times 3^2

\therefore ? = 5 \times 5 \times 3 \times 3 = 225

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