1
WB JEE 2008
MCQ (Single Correct Answer)
+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
2
WB JEE 2008
MCQ (Single Correct Answer)
+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)}
3
WB JEE 2009
MCQ (Single Correct Answer)
+1
-0.25

For any two sets A and B, A $$-$$ (A $$-$$ B) equals

A
B
B
A $$-$$ B
C
A $$\cap$$ B
D
Ac $$\cap$$ Bc
4
WB JEE 2009
MCQ (Single Correct Answer)
+1
-0.25

A mapping from IN to IN is defined as follows:

$$f:IN \to IN$$

$$f(n) = {(n + 5)^2},\,n \in IN$$

(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
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