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CAT 2021 Exam Question Papers Slot 1 | CAT Quants

CAT Quantitative Aptitude | CAT 2021 Question Papers

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All CAT 2021 Quantitative aptitude questions have detailed answer keys and solutions provided by our experts. Watch the videos below to learn the fastest ways to answer the questions:

7).

The amount Neeta and Geeta together earn in a day equals what Sita alone earns in 6 days. The amount Sita and Neeta together earn in a day equals what Geeta alone earns in 2 days. The ratio of the daily earnings of the one who earns the most to that of the one who earns the least is

  1. 7 : 3

  2. 11 : 3

  3. 11 : 7

  4. 3:2


Explanation

If daily earnings of Neeta, Geeta, and Sita be N, G, and S respectively,

         N + G = 6 S     …..(1)

         S + N = 2 G     …..(2)

         Subtracting  equation  (2) from (1),

         G – S = 6 S – 2 G           =>  3 G = 7 S     =>  S = (3/7) G   …(3)

         Substituting for S in (1),

         N + G = (18/7) G           => N = (11/7) G                           ….(4)

         Comparing  (3) and (4), it is clear that Neeta earns the most and Seeta  earns the least

         Required ratio = fraction numerator begin display style bevelled 11 over 7 end style over denominator begin display style bevelled 3 over 7 end style end fraction  = 11: 3

Ans:(2)

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