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Find the value of ?? in the following equation: 1406083×1849114.28% of 210015=?2179\sqrt[3]{140608} \times \sqrt{1849} - \frac{114.28\% \text{ of } 2100}{15} = ?^2 - 179

Find the value of ?? in the following equation: 1406083×1849114.28% of 210015=?2179\sqrt[3]{140608} \times \sqrt{1849} - \frac{114.28\% \text{ of } 2100}{15} = ?^2 - 179

  1. 4747

  2. 4949

  3. 5151

  4. 4545

  5. None of these

Show answer & explanation

Correct answer

None of these

Explanation

1) 1406083=52\sqrt[3]{140608} = 52. 2) 1849=43\sqrt{1849} = 43. 52×43=223652 \times 43 = 2236. 3) 114.28%=100%+14.28%=1+17=87114.28\% = 100\% + 14.28\% = 1 + \frac{1}{7} = \frac{8}{7}. 87×2100=2400\frac{8}{7} \times 2100 = 2400. 240015=160\frac{2400}{15} = 160. 4) LHS: 2236160=20762236 - 160 = 2076. 2076=?2179    ?2=2076+179=22552076 = ?^2 - 179 \implies ?^2 = 2076 + 179 = 2255, which is not a perfect square integer, hence None of these.

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