Gamma Question Bank for Engineering Mathematics>Chapter 1 - Basics of Mathematics>Assignment>Q 3

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If $X$ and $Y$ are two subsets of the universal set $U$ and $X^{'}$ denotes the complement of $X$ , then $X \cup {(X \cap Y)}^{'}$ is equal to

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Important Questions on Basics of Mathematics

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Gamma Question Bank for Engineering Mathematics>Chapter 1 - Basics of Mathematics>Assignment>Q 4

If

A = \{(x, y) : y = 3^{x}, x, y \in R\}

and

B = \{(x, y) : y = x, x, y \in R\}

, then which of the following is true?

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Gamma Question Bank for Engineering Mathematics>Chapter 1 - Basics of Mathematics>Assignment>Q 5

A = \{ϕ, \{ϕ\}\}

, then

P (A)

is

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Gamma Question Bank for Engineering Mathematics>Chapter 1 - Basics of Mathematics>Assignment>Q 6

If

A = ϕ, P (A)

denotes power set of

A

, then number of elements in

P (P (P (P (P (A)))))

is

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Gamma Question Bank for Engineering Mathematics>Chapter 1 - Basics of Mathematics>Assignment>Q 7

If

A

and

B

be two sets such that

n (A) = 15

,

n (B) = 25

, then number of possible values of

n (A Δ B)

(symmetric difference of

A

and

B

) is

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Gamma Question Bank for Engineering Mathematics>Chapter 1 - Basics of Mathematics>Assignment>Q 8

$A = \{(x, y) : x, y \in I, x \geq 0, y \geq 0 and 4 x + 5 y \leq 40}\}$

$B = \{(x, y) : x, y \in I, x \geq 0, y \geq 0 and 5 x + 4 y \leq 40\}$

where $I$ denotes set of integers, then $n (A \cap B) =$

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Gamma Question Bank for Engineering Mathematics>Chapter 1 - Basics of Mathematics>Assignment>Q 9

In a battle,

70 %

of the combatants lost one eye,

80 %

lost one leg,

85 %

lost ear,

90 %

an arm. If

x %

lost all the four organs, then minimum value of

x

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Gamma Question Bank for Engineering Mathematics>Chapter 1 - Basics of Mathematics>Assignment>Q 10

The largest interval for which

x^{12} - x^{9} + x^{4} - x + 1 > 0

is

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Gamma Question Bank for Engineering Mathematics>Chapter 1 - Basics of Mathematics>Assignment>Q 1

|X|

represent number of elements in region

X

. Now the following conditions are given

|U| = 14, |{(A - B)}^{C}| = 12, |A \cup B| = 9

and

|A Δ B| = 7

, where

A

and

B

are two subsets of the universal set

U

and

A^{C}

represents complement of

set A

, then