Statement I: An orchard has a total area of 1000 m2. Given that 200 m2 of the orchard has been used for mango trees, 500 m2 has been used for apple trees and the remaining area is unused. The fraction of the orchard that is unused is . Statement II: All natural numbers can be written as improper fractions. 1. Statement I is true but statement II is false. 2. Statement I is false but statement II is true. 3. Both Statement I and statement II are true. 4. Both Statement I and statement II are false.

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KnowledgeBoat · Accepted Answer

According to Statement I, Total area = 1000 m2 Area used = 200 + 500 = 700 m2 Unused area = 1000 - 700 = 300 m2 Fraction of unused area = . ∴ Statement I is true. According to Statement II, every natural number can be written with denominator 1. For example, , , etc., which are improper fractions (numerator ≥ denominator). ∴ Statement II is true. Both Statement I and Statement II are true. Hence, option 3 is the correct option.

Mathematics

Fractions

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