BITSAT 2024 Shift 1 Paper

Given that f(x)=[x] represents the greatest integer less than or equal to x, and g(x)=|x|, let's solve the expression f(g(‌

8

5

))−g(f(−‌

8

5

)).
First, calculate the individual components:
Calculate f(−‌

8

5

) :
f(−‌

8

5

)=[−‌

8

5

]=−2
Calculate g(‌

8

5

) :
g(‌

8

5

)=|‌

8

5

|=‌

8

5

Now, substitute these values into the expression:
Evaluate f(g(‌

8

5

)) :
f(g(‌

8

5

))=f(‌

8

5

)=[‌

8

5

]=1
Evaluate g(f(−‌

8

5

)) :
g(f(−‌

8

5

))=g(−2)=|−2|=2
Finally, calculate the expression:
f(g(‌

8

5

))−g(f(−‌

8

5

))=1−2=−1
Hence, the value of the expression is -1 .