Mathematics · Number System
Let m be a perfect square less than 50, and n be a perfect cube greater than 50 but less than 100. The difference between m2 and n2 is 1695. Another number, o, is a perfect square smaller than m and greater than 20, but the difference between m and o is greater than the difference between m and n. Also, p is a two-digit perfect square less than o. Quantity I: Value of m + n + 2p Quantity II: Value of m + 2n + o Compare the magnitudes of Quantity I and Quantity II.
- 1Quantity I = Quantity II
- 2Quantity I ≥ Quantity II
- 3Quantity I < Quantity II✓
- 4Quantity I > Quantity II
Correct answer
Quantity I < Quantity II
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