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Question

If $A equals left curly bracket 1 comma 2 comma 3 right curly bracket comma B left curly bracket 3 comma 4 right curly bracket comma C left curly bracket 4 comma 5 comma 6 right curly bracket$ . Then, $A union left parenthesis B intersection C right parenthesis$ is

${1, 2}$
${ϕ}$
${4, 5}$
${1, 2, 3, 4}$

The correct answer is: $left curly bracket 1 comma 2 comma 3 comma 4 right curly bracket$

$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell B intersection C equals left curly bracket 4 right curly bracket. end cell row cell therefore A union left parenthesis B intersection C right parenthesis equals left curly bracket 1 comma 2 comma 3 comma 4 right curly bracket end cell end table$

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$left curly bracket n left parenthesis n plus 1 right parenthesis left parenthesis 2 n plus 1 right parenthesis colon n element of Z right curly bracket subset of$

$left curly bracket n left parenthesis n plus 1 right parenthesis left parenthesis 2 n plus 1 right parenthesis colon n element of Z right curly bracket subset of$

Let $Y equals left curly bracket 1 comma 2 comma 3 comma 4 comma 5 right curly bracket comma A left curly bracket 1 comma 2 right curly bracket comma B equals left curly bracket 3 comma 4 comma 5 right curly bracket$ and $ϕ$ denotes null set. If $left parenthesis A cross times B right parenthesis$ denotes cartesian product of the sets A and B ; then $left parenthesis Y cross times A right parenthesis intersection left parenthesis Y cross times B right parenthesis$ is

Let $Y equals left curly bracket 1 comma 2 comma 3 comma 4 comma 5 right curly bracket comma A left curly bracket 1 comma 2 right curly bracket comma B equals left curly bracket 3 comma 4 comma 5 right curly bracket$ and $ϕ$ denotes null set. If $left parenthesis A cross times B right parenthesis$ denotes cartesian product of the sets A and B ; then $left parenthesis Y cross times A right parenthesis intersection left parenthesis Y cross times B right parenthesis$ is

If $n left parenthesis A right parenthesis equals 4 comma n left parenthesis B right parenthesis equals 3 comma n left parenthesis A cross times B cross times C right parenthesis equals 240$ , then $n left parenthesis C right parenthesis$ is equal to

If $n left parenthesis A right parenthesis equals 4 comma n left parenthesis B right parenthesis equals 3 comma n left parenthesis A cross times B cross times C right parenthesis equals 240$ , then $n left parenthesis C right parenthesis$ is equal to

parallel

For any two sets A and B, $A minus left parenthesis A minus B right parenthesis$ equals

For any two sets A and B, $A minus left parenthesis A minus B right parenthesis$ equals

If two sets A and B are having 99 elements in common, then the number of elements common to each of the sets , A x B and B x A are

If two sets A and B are having 99 elements in common, then the number of elements common to each of the sets , A x B and B x A are

For any two sets A and B, if $A intersection X equals B intersection X equals ϕ$ and $A union X equals B union X$ for some set X , then

For any two sets A and B, if $A intersection X equals B intersection X equals ϕ$ and $A union X equals B union X$ for some set X , then

parallel

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Let A and B be two sets, then $left parenthesis A union B right parenthesis to the power of straight prime union open parentheses A to the power of straight prime intersection B close parentheses$ is equal to

Let A and B be two sets, then $left parenthesis A union B right parenthesis to the power of straight prime union open parentheses A to the power of straight prime intersection B close parentheses$ is equal to

If $sec invisible function application open parentheses fraction numerator x squared minus y squared over denominator x squared plus y squared end fraction close parentheses equals e to the power of a comma text then end text fraction numerator d y over denominator d x end fraction$ is equal to

If $sec invisible function application open parentheses fraction numerator x squared minus y squared over denominator x squared plus y squared end fraction close parentheses equals e to the power of a comma text then end text fraction numerator d y over denominator d x end fraction$ is equal to

parallel

If $f left parenthesis x right parenthesis$ has a derivative at $x equals a text , then end text lim for x not stretchy rightwards arrow a of fraction numerator x f left parenthesis a right parenthesis minus a f left parenthesis x right parenthesis over denominator x minus a end fraction$ is equal to

If $f left parenthesis x right parenthesis$ has a derivative at $x equals a text , then end text lim for x not stretchy rightwards arrow a of fraction numerator x f left parenthesis a right parenthesis minus a f left parenthesis x right parenthesis over denominator x minus a end fraction$ is equal to

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The derivative of $e to the power of x cubed end exponent$ with respect to log is

The derivative of $e to the power of x cubed end exponent$ with respect to log is

parallel

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The rate of change of $square root of open parentheses x squared plus 16 close parentheses end root$ with respect to $fraction numerator x over denominator x minus 1 end fraction$ at $x equals 3$ is

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If $x equals a cos to the power of 4 invisible function application theta comma y equals a sin to the power of 4 invisible function application theta$ then $dy over dx text at end text theta equals fraction numerator 3 pi over denominator 4 end fraction$ is

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parallel

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