CAT 2020 Question Paper | Quants Slot 1

CAT Previous Year Paper | CAT Quants Questions | Question 23

This question is from Percentages. CAT exam is known to test on basics rather than high funda ideas. CAT exam has historically tested Percentages. With every passing year, the importance of topics such as Percentages has increased in the CAT exam. Make sure you get a good hold on this topic by practising a lot of questions from CAT previous year question paper.

Question 23 : In a group of people, 28% of the members are young while the rest are old. If 65% of the members are literates, and 25% of the literates are young, then the percentage of old people among the illiterates is nearest to

  1. 59
  2. 62
  3. 66
  4. 55

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Explanatory Answer

In a group 28% are young, 72% are old
In the same group 65% are literates and 35% are illiterates
Young literates = \\frac{1}{4}) (65%) = 16.25%, So remaining 11.75% are young illiterates
Out of 35% illiterates = 11.75% is young and remaining 23.25% are old illiterates
So, \\frac{23.25}{35}) × 100 ≅ 66

The answer is, "66"

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