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Question

How many numbers lie between the squares of the numbers 99 and 100?
[2 marks]

A
200
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B
199
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C
201
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D
198
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Solution

The correct option is D 198
There are 2𝑛 non-square numbers between n2 and (n+1)2.
[1 mark]
Here n = 99,
So, 2×99 = 198 numbers lie between the squares of 99 and 100.
[1 mark]

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