Limits, Continuity and Differentiability Test

Result

Limits, Continuity and Differentiability Test - 97

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Weekly Quiz Competition

Question 1
4 / -1

A function f from the set of natural numbers to integers defined by

A
One-one but not onto

B
Onto but not one-one

C
One-one and onto both

D
Neither one-one nor onto

Solution
Question 2
4 / -1

A
One-one and onto

B
One-one but not onto

C
Onto but not one-one

D
Neither one-one nor onto

Solution
Question 3
4 / -1

A
[–1,3]

B
[1,1]

C
[0,1]

D
[0,–1]

Solution
Question 4
4 / -1

A
Injective

B
Surjective

C
Bijective

D
None of these

Solution
Question 5
4 / -1

A mapping from IN to IN is defined as follows
f : IN → IN, f(n) = (n + 5)² , n ∈ IN(IN is the set of natural numbers). Then

A
f is not one to one

B
f is onto

C
f is both one to one and onto

D
f is one to one but not onto

Solution
Question 6
4 / -1

Domain of function f(x) = sin^-1 5x is

A

B

C
R

D

Solution
Question 7
4 / -1

A

B

C

D

Solution
Question 8
4 / -1

A
[1,9]

B
[–1,9]

C
[–9,1]

D
[–9,–1]

Solution
Question 9
4 / -1

Domain of f(x) = log|log x| is

A
(0,∞)

B
(1, ∞)

C
(0,1) ∪ (1,∞)

D
(–∞,1)

Solution
Question 10
4 / -1

Function f(x) = x – [x], where [.] denotes a greatest integer function.This function is

A
A periodic function

B
A periodic function whose period is 1/2

C
A periodic function whose period is 1

D
Not a periodic function

Solution