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JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

If

5\{x\}=x+[x]

and

[x]-\{x\}=\frac{1}{2}

when

\{x\}

and [

x

] are fractional and integral part of

x

then

x

is

View answer and explanation

Correct option: B

\frac{3}{2}

Option B (

\frac{3}{2}

) is correct because solving the given equations

[x] - \{x\} = \frac{1}{2}

and

5\{x\} = x + [x]

leads to

x = \frac{3}{2}

.

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