WB JEE 2022 | Sets and Relations Question 17 | Mathematics

WB JEE 2022

MCQ (Single Correct Answer)

-0.25

A is a set containing n elements. P and Q are two subsets of A. Then the number of ways of choosing P and Q so that P $$\cap$$ Q = $$\varphi $$ is

$${2^{2n\_2n}}{C_n}$$

$${2^n}$$

$${3^n} - 1$$

$${3^n}$$

WB JEE 2022

MCQ (Single Correct Answer)

-0.25

Let S, T, U be three non-void sets and f : S $$\to$$ T, g : T $$\to$$ U and composed mapping g . f : S $$\to$$ U be defined. Let g . f be injective mapping. Then

f, g both are injective.

neither f nor g is injective.

f is obviously injective.

g is obviously injective.

WB JEE 2022

MCQ (Single Correct Answer)

-0.25

For the mapping $$f:R - \{ 1\} \to R - \{ 2\} $$, given by $$f(x) = {{2x} \over {x - 1}}$$, which of the following is correct?

f is one-one but not onto

f is onto but not one-one

f is neither one-one nor onto

f is both one-one and onto

WB JEE 2021

MCQ (Single Correct Answer)

-0.25

Let A, B, C be three non-void subsets of set S. Let (A $$\cap$$ C) $$\cup$$ (B $$\cap$$ C') = $$\phi$$ where C' denote the complement of set C in S. Then

A $$\cap$$ B = $$\phi$$

A $$\cap$$ B $$\ne$$ $$\phi$$

A $$\cap$$ C = A

A $$\cup$$ C = A

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