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In a psychology school the grade of the students is

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In a psychology school the grade of the students is [#permalink] New post 14 Aug 2005, 20:43
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In a psychology school the grade of the students is determined by the following method: At the end of the first year the grade equals to twice the age of the student. From then on, the grade is determined by twice the age of the student plus half of his grade from the previous year. If Joey’s grade at the end of the first year is 40, what will be his grade at the end of the third year?

(a) 44.
(b) 56.
(c) 62.
(d) 75.
(e) 80.
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 [#permalink] New post 15 Aug 2005, 00:12
Let a and g be the age and the grade of the student at the end of the first year. From the stem we have

g = 2a = 40 => a = 20

At the end of the second year

g(2) = 2*(a+1) + g/2 = 42+20 = 62

At the end of the third year

g(3) = 2*(a+2) + g(2)/2 = 44+31 = 75

=> (D) is the correct answer
  [#permalink] 15 Aug 2005, 00:12
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