Question
Simplify: (19×30×19×30)÷((2(√900÷2)))²
This question was previously asked in
RPF Constable 2018 Question Paper PDF (16-Feb-2019) (Shift 2)
The correct answer is
361
361 is correct.
Numerator: \(19\times 30\times 19\times 30=(19\times 30)^2=570^2\).
Denominator: \(\sqrt{900}=30\), \(30\div 2=15\), \(2\times 15=30\) and \(30^2=900\).
\(\dfrac{570^2}{30^2}=\left(\dfrac{570}{30}\right)^2=19^2=361\).
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