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Home
Limits, Continuity and Differentiability Test - 96
Limits, Continuity and Differentiability Test - 96
Result
Limits, Continuity and Differentiability Test - 96
/
Score
-
Rank
Time Taken:
-
Question
1/10
4 / -1
The funtion f : R → R is given by f(x) = x
3
– 1 is
Correct
Wrong
Skipped
A
A one-one function
Correct
Wrong
Skipped
B
An onto function
Correct
Wrong
Skipped
C
A bijection
Correct
Wrong
Skipped
D
Neither one-one nor onto
Solutions
Question
2/10
4 / -1
The function which map [-1, 1] to [0,2] are
Correct
Wrong
Skipped
A
One linear function
Correct
Wrong
Skipped
B
Two linear function
Correct
Wrong
Skipped
C
Circular function
Correct
Wrong
Skipped
D
None of these
Question
3/10
4 / -1
Correct
Wrong
Skipped
A
A rational function
Correct
Wrong
Skipped
B
A trigonometric function
Correct
Wrong
Skipped
C
A step function
Correct
Wrong
Skipped
D
An exponential function
Solutions
Question
4/10
4 / -1
The funtion f : R → R defined as f(x) = (x – 1) (x – 2)(x – 3) is
Correct
Wrong
Skipped
A
One-one but not onto
Correct
Wrong
Skipped
B
Onto but not one-one
Correct
Wrong
Skipped
C
Both one-one and onto
Correct
Wrong
Skipped
D
Neither one-one nor onto
Solutions
Question
5/10
4 / -1
Let R and C denote the set of real numbers and complex numbers respectively. The function f : C → R defined by f(z) = |z| is
Correct
Wrong
Skipped
A
One to one
Correct
Wrong
Skipped
B
Onto
Correct
Wrong
Skipped
C
Bijective
Correct
Wrong
Skipped
D
Neither one to one nor onto
Solutions
Question
6/10
4 / -1
For real x, let f(x) = x
3
+ 5x + 1, then
Correct
Wrong
Skipped
A
f is one-one but not onto R
Correct
Wrong
Skipped
B
f is onto R but not one-one
Correct
Wrong
Skipped
C
f is one-one and onto R
Correct
Wrong
Skipped
D
f is neither one-one nor onto R
Solutions
Question
7/10
4 / -1
Let X and Y be subsets of R, the set of all real numbers. The function f : X → Y defined by f(x) = x
2
for x ∈ X is one-one but not onto if (Here R
+
is the set of all positive real numbers)
Correct
Wrong
Skipped
A
X = Y = R
+
Correct
Wrong
Skipped
B
X = R, Y = R
+
Correct
Wrong
Skipped
C
X = R
+
, Y = R
Correct
Wrong
Skipped
D
X = Y = R
Solutions
Question
8/10
4 / -1
Correct
Wrong
Skipped
A
f is one-one onto
Correct
Wrong
Skipped
B
f is one-one into
Correct
Wrong
Skipped
C
f is many one onto
Correct
Wrong
Skipped
D
f is many one into
Solutions
Question
9/10
4 / -1
Correct
Wrong
Skipped
A
One-one into
Correct
Wrong
Skipped
B
One-one onto
Correct
Wrong
Skipped
C
Many one into
Correct
Wrong
Skipped
D
Many one onto
Solutions
Question
10/10
4 / -1
Let the function f : R → R be defined by f(x) = 2x + sin x, x ∈ R. Then f is
Correct
Wrong
Skipped
A
One-to-one and onto
Correct
Wrong
Skipped
B
One -to-one but not onto
Correct
Wrong
Skipped
C
Onto but not one-to-one
Correct
Wrong
Skipped
D
Neither one-to-one nor onto
Re-attempt
-
Correct (
-
)
Wrong (
-
)
Skipped (
-
)
1
2
3
4
5
6
7
8
9
10
Re-attempt
-
Correct (
-
)
Wrong (
-
)
Skipped (
-
)
1
2
3
4
5
6
7
8
9
10
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