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Fundamental Principle of Counting

There is a ce...

Question

There is a certain relation between two given number on one side of : : and one number is given on another side of : : while another number is to be found from the given alternatives, having the same relation with this number as the numbers of the given pair bear. Choose the best alternative.
9 : 79 : : 100 : ?

A

901

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B

1009

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C

9889

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D

9998

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Solution

The correct option is D 9998
$79 = 9^{2} - 2,$ so $100^{2} - 2 = 9998$

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