Multiple choice

Directions: Study the given information and answer the following question. The table below shows the distribution of students in an institution in three grades - Average, Good and Outstanding - across three levels - Primary, Secondary and Higher Secondary - on the basis of their performance in the final examination over a period of six years beginning 2012. Level Primary Secondary Higher Secondary Grade Average Good Outstanding Average Good Outstanding Average Good Outstanding 2012 120 75 35 100 68 24 98 82 29 2013 115 68 34 98 75 22 89 78 37 2014 132 54 30 105 60 25 95 90 29 2015 145 64 25 110 70 28 102 75 34 2016 128 60 28 125 78 18 99 88 28 2017 110 80 32 120 56 21 110 90 32 The ratio of the number of Average students in the year 2012 to the number of Above Average students in the year 2016 is:

  1. 21 : 20

  2. 53 : 50

  3. 40 : 21

  4. 31 : 30

  5. 11 : 10
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B Correct answer
Explanation

The number of Average students in 2012 is 120 (Primary) + 100 (Secondary) + 98 (Higher Secondary) = 318. The number of 'Above Average' students in 2016 is the sum of Good and Outstanding students: (60+28) + (78+18) + (88+28) = 88 + 96 + 116 = 300. The ratio is 318:300, which simplifies to 53:50.

AI explanation

We first calculate the total number of Average students in 2012 by adding the Average students across all three levels: 120 plus 100 plus 98, which equals 318. Next, we find the total number of Above Average students in 2016 by adding the Good and Outstanding grades across all three levels: (60 plus 28) plus (78 plus 18) plus (88 plus 28), which totals 300. The ratio of these two totals is 318 to 300, and dividing both sides by their greatest common divisor of 6 simplifies this ratio to 53 to 50.

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