1
WB JEE 2008
+1
-0.25

A mapping f : N $$\to$$ N where N is the set of natural numbers is defined as

f(n) = n2 for n odd

f(n) = 2n + 1 for n even

for n $$\in$$ N. Then f is

A
Surjective but not injective
B
Injective but not surjective
C
Bijective
D
Neither injective nor surjective
2
WB JEE 2008
+1
-0.25

The mapping f : N $$\to$$ N given by f(n) = 1 + n2, n $$\in$$ N where N is the set of natural numbers, is

A
One to one and onto
B
Onto but not one-to-one
C
One-to-one but not onto
D
Neither one-to-one nor onto
3
WB JEE 2008
+1
-0.25

A function f : A $$\to$$ B, where A = {x/$$-$$1 $$\le$$ x $$\le$$ 1} and B = {y/1 $$\le$$ y $$\le$$ 2} is defined by the rule y = f(x) = 1 + x2. Which of the following statement is then true?

A
f is injective but not surjective
B
f is surjective but not injective
C
f is both injective and surjective
D
f is neither injective nor surjective
4
WB JEE 2008
+1
-0.25

Let A = {1, 2, 3} and B = {2, 3, 4}, then which of the following relations is a function from A to B?

A
{(1, 2), (2, 3), (3, 4), (2, 2)}
B
{(1, 2), (2, 3), (1, 3)}
C
{(1, 2), (2, 3), (3, 3)}
D
{(1, 2), (2, 3), (3, 4)}
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Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
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Trigonometry
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Calculus
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