1
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
Let $$f:N \to Y$$ be a function defined as f(x) = 4x + 3 where
Y = { y $$ \in $$ N, y = 4x + 3 for some x $$ \in $$ N }.
Show that f is invertible and its inverse is
A
$$g\left( y \right) = {{3y + 4} \over 4}$$
B
$$g\left( y \right) = 4 + {{y + 3} \over 4}$$
C
$$g\left( y \right) = {{y + 3} \over 4}$$
D
$$g\left( y \right) = {{y - 3} \over 4}$$
2
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
A die is thrown. Let $$A$$ be the event that the number obtained is greater than $$3.$$ Let $$B$$ be the event that the number obtained is less than $$5.$$ Then $$P\left( {A \cup B} \right)$$ is :
A
$${3 \over 5}$$
B
$$0$$
C
$$1$$
D
$${2 \over 5}$$
3
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
It is given that the events $$A$$ and $$B$$ are such that
$$P\left( A \right) = {1 \over 4},P\left( {A|B} \right) = {1 \over 2}$$ and $$P\left( {B|A} \right) = {2 \over 3}.$$ Then $$P(B)$$ is :
A
$${1 \over 6}$$
B
$${1 \over 3}$$
C
$${2 \over 3}$$
D
$${1 \over 2}$$
4
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
The solution of the differential equation

$${{dy} \over {dx}} = {{x + y} \over x}$$ satisfying the condition $$y(1)=1$$ is :
A
$$y = \ln x + x$$
B
$$y = x\ln x + {x^2}$$
C
$$y = x{e^{\left( {x - 1} \right)}}\,$$
D
$$y = x\,\ln x + x$$
JEE Main Papers
2023
2021
EXAM MAP