UPSC Prelims 2020·CSAT·Quantitative Aptitude·Arithmetic

Which one of the following will have minimum change in its value if 5 is added to both numerator and the denominator of the fractions 2/3, 3/4, 4/5 and 5/6?

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Last updated 23 May 2026, 3:31 pm IST
  1. A2/3
  2. B3/4
  3. C4/5
  4. D5/6Correct

Explanation

When a positive number 's' is added to both the numerator and the denominator of a proper fraction (where the numerator is less than the denominator), the value of the fraction increases, moving it closer to 1. The closer the original fraction is to 1, the smaller the absolute change in its value will be after 's' is added. Let's compare the values of the given fractions: A) 2/3 = 0.666... B) 3/4 = 0.75 C) 4/5 = 0.8 D) 5/6 = 0.833... Among these fractions, 5/6 is the largest value, meaning it is already closest to 1. Therefore, adding 's' to both its numerator and denominator will cause the minimum change in its value.
Quantitative Aptitude: Which one of the following will have minimum change in its value if 5 is added to both numerator and the denominator of
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