Question
How many integers greater than 14 and less than 99 are of the form $2n^2+3$ (n$\epsilon$ N)?
This question was previously asked in
OTET 2026 Social Studies Question Paper (5-Jul-2026)
The correct answer is
4
2n^2+3 > 14 gives n>=3, and 2n^2+3<99 gives n<=6. So n=3,4,5,6 giving values 21,35,53,75 - a total of 4 integers.
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