If $(33)^{3}$ is subtracted from the square of a number, the answer so obtained is 5272. What is the number?

223

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193

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213

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203

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Solution

The correct option is D
203

Let the number be x.

From the question $x^{2} - (33)^{3} = 5272$

Or $x^{2} - 35937 = 5272$

Or $x^{2} = 35937 + 5272 = 41209$

$∴ \sqrt{41209} = 203$

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If (33)3 is subtracted from the square of a number, the answer so obtained is 5272. What is the number?

The correct option is D 203 Let the number be x. From the question x2−(33)3=5272 Or x2−35937=5272 Or x2=35937+5272=41209 ∴√41209=203

If $(33)^{3}$ is subtracted from the square of a number, the answer so obtained is 5272. What is the number?

The correct option is D
203

Let the number be x.

From the question $x^{2} - (33)^{3} = 5272$

Or $x^{2} - 35937 = 5272$

Or $x^{2} = 35937 + 5272 = 41209$

$∴ \sqrt{41209} = 203$