In a college of 300 studen ts ever y student r eads 5 newspapers and every newspaper is read by 60 students.The number of newpapers is (1998  2 Marks)
(c) Let n be the number of newspapers which are read.
Then 60 n = (300) (5) ⇒ n = 25
Let S_{1}, S_{2}, ...... be squares such that for each n ≥ 1, the length of a side of S_{n} equals the length of a diagonal of S_{n+1}. If the length of a side of S_{1} is 10 cm, then for which of the following values of n is the area of S_{n} less than 1 sq. cm? (1999  3 Marks)
Given side of square S_{1} = 10 cm As it is same as diagonal of S_{2}.
∴ Side of square S_{2 }=
Similarly, side of square S_{3} =
In the same manner, side of square S_{n }=
∴ Area of square of side S_{n }=
⇒ 100 < (2) n–1 ⇒ 2n–1 > 100 ⇒ n – 1 ∈ 7 ⇒ n ∈ 8
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