NIMCET 2024 Paper

Section: Mathematics

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Question : 8 of 120

Marks: +1, -0

Let

C

denote the set of all tuples

(x, y)

which satisfy

x^2-2^y=0

, where

x

and

y

are natural numbers. What is the cardinality of

C

?

0
1
2
None of these

Solution:

Given that

x

and

y

are natural numbers, there are many solutions to the equation

x^2-2^y=0

. Some of them are

(2,2),(4,4),(8,6),(16,8)

etc. This question was wrong.

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