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Mathematics

Statement I: 120\dfrac{1}{20} is a terminating fraction.

Statement II: The denominator of 120\dfrac{1}{20} is the 20th multiple of its numerator.

  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.

Decimals

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Answer

Statement I: We have 120=1×520×5=5100=0.05\dfrac{1}{20} = \dfrac{1 \times 5}{20 \times 5} = \dfrac{5}{100} = 0.05, which is a terminating decimal. So, Statement I is true.

Statement II: The denominator of 120\dfrac{1}{20} is 20, and 20=20×120 = 20 \times 1, which is the 20th multiple of the numerator 1. So, Statement II is true.

Hence, option 3 is the correct option.

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