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Delhi Police Constable Exam Model Paper 5

Question : 82 of 100

Marks: +1, -0

\text{I. } \left(\frac{4}{9}\right) > \left(\frac{4}{7}\right)

\text{II. } \left(\frac{5}{7}\right) > \left(\frac{4}{9}\right)

Solution:

Case I:

As, numerator is same and denumerator of 4/9 is greater than 4/7,

Hence, (4/9) < (4/7)

∴ Statement I is false.

Case II:

\frac{5}{7} = \left(\frac{5}{7}\right) \times \left(\frac{9}{9}\right) = \frac{45}{63}

\frac{4}{9} = \left(\frac{4}{9}\right) \times \left(\frac{7}{7}\right) = \frac{28}{63}

As, denumerator is same and numerator of 45/63 is greater than 28/63

Hence,

\frac{45}{63} > \frac{28}{63} \text{ i.e. } \frac{5}{7} > \frac{4}{9}

∴ Statement II true.

Hence, only Statement II is true.

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