Which of the following statement(s) is/are TRUE? I. 3/71 < 3/91 < 3/99 II. 13/135 > 12/135 > 11/135
Which of the following statement(s) is/are TRUE? I. 3/71 < 3/91 < 3/99 II. 13/135 > 12/135 > 11/135 Correct Answer Only II
Solving for statement I,
3/71 < 3/91 < 3/99
As the numerator is the same, an increase in the value of the denominator results in a small value of the fraction.
So, the given statement is false.
Solving for statement II,
13/135 > 12/135 > 11/135
⇒ As the denominator is the same, an increase in the value of the numerator results in the larger value of the fraction.
∴ Statements II is TRUE.
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Feb 20, 2025