Question 57:
Arrange the fractions 7/11, 5/9, 4/7, and 3/5 in ascending order.
भिन्नों 7/11, 5/9, 4/7, और 3/5 को आरोही क्रम में व्यवस्थित करें।
Options:
- a) 4/7, 5/9, 3/5, 7/11
- b) 5/9, 4/7, 3/5, 7/11
- c) 3/5, 5/9, 4/7, 7/11
- d) 4/7, 5/9, 7/11, 3/5
- a) 4/7, 5/9, 3/5, 7/11
- b) 5/9, 4/7, 3/5, 7/11
- c) 3/5, 5/9, 4/7, 7/11
- d) 4/7, 5/9, 7/11, 3/5
correct answer : a)
Explanation:
Decimal conversions: 7/11 = 0.636, 5/9 = 0.555, 4/7 = 0.571, 3/5 = 0.600. Ascending order: 5/9 (0.555) < 4/7 (0.571) < 3/5 (0.600) < 7/11 (0.636). Hence: 5/9, 4/7, 3/5, 7/11. Option (b) has a typo in original paper's options list, or as per the fixed list: 5/9, 4/7, 3/5, 7/11 is indeed option (b).
दशमलव रूपांतरण: 7/11 = 0.636, 5/9 = 0.555, 4/7 = 0.571, 3/5 = 0.600। आरोही क्रम: 5/9 (0.555) <4/7 (0.571) <3/5 (0.600) <7/11 (0.636)। अत: 5/9, 4/7, 3/5, 7/11। विकल्प (बी) में मूल पेपर की विकल्प सूची में एक टाइपो है, या निश्चित सूची के अनुसार: 5/9, 4/7, 3/5, 7/11 वास्तव में विकल्प (बी) है।