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JEEMAIN and NEET
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Mathematics
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Class11
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Sets
If the set $S={1,2,3...........12}$ is to be partitioned into 3 sets A,B,C of equal size so that $A\cup\:\:B\cup\:C=S\:and\:A\cap\:B=B\cap\:C=C\cap\: A=\phi$, then the number of ways the partition can be done is equal to: \[\] $(A)\:\:\:\large \frac{12!}{3!(3!)^4}\quad$ $(B)\:\:\:\large \frac{12!}{(4!)^3}\quad$ $(C)\:\:\:\ \large \frac{12!}{(3!)^3}\quad$ $(D)\:\:\: \large \frac{12!}{3!(4!)^3}\quad$
answered
Dec 28, 2018
by
ravindrayadav78795
1
answer
If the set $S={1,2,3...........12}$ is to be partitioned into $3$ sets $A,B,C$ of equal size so that $A\cup B\cup C=S$ and $A\cap B=B\cap C=C\cap A=\phi$, then the no. of ways the partition can be done is
jeemain
math
class11
ch1
sets
venn
diagram
operation
on
difficult
answered
Nov 6, 2013
by
balaji.thirumalai
1
answer
If $P=\{x:sinx-cosx=\sqrt2 cosx\}$ and $Q=\{x:sinx+cosx=\sqrt 2 sinx\}$ then which of the following is true ?
jeemain
math
class11
ch1
set
venn
diagrams
and
operations
on
sets
easy
answered
May 30, 2013
by
rvidyagovindarajan_1
1
answer
What type of set is "The set of poor students of a class"?
jeemain
math
class11
modelpaper
ch1
sets
types
of
easy
answered
May 30, 2013
by
rvidyagovindarajan_1
1
answer
Find the value of $\phi'$
jeemain
math
class11
ch1
sets
subsets
powersets
and
universal
set
easy
answered
May 30, 2013
by
rvidyagovindarajan_1
1
answer
If $n(A\times B)=8, $ then how many possible values are there for $n(A)?$
jeemain
math
class11
ch1
sets
subsets
powersets
and
universalsets
easy
answered
May 30, 2013
by
rvidyagovindarajan_1
1
answer
What type of set is "The collection of novels written by Munshi Premchand" ?
jeemain
math
class11
ch1
sets
types of sets
easy
answered
May 30, 2013
by
rvidyagovindarajan_1
1
answer
$A\cap (A\cup B)$ = ?
jeemain
math
class11
ch1
sets
operation-on-functions
functions
easy
answered
May 21, 2013
by
rvidyagovindarajan_1
1
answer
If $S_1=\{1,2,...................20\}$, $S_2=\{a,b,c,d,e\}$, $S_3=\{a,c,e,f\}$, then no. of elements of $(S_1\times S_2)\cap (S_1\times S_3)$ is ?
jeemain
math
class11
ch1
sets
powersets
subsets
and
universal
easy
answered
May 18, 2013
by
rvidyagovindarajan_1
1
answer
The set that cannot be represented by roster form is:
jeemain
math
class11
ch1
sets
types
of
easy
answered
May 17, 2013
by
rvidyagovindarajan_1
1
answer
How is Null set represented in set builder form ?
jeemain
math
class11
ch1
sets
types
of
easy
answered
May 17, 2013
by
rvidyagovindarajan_1
1
answer
If $A\cap B=B$ then what can you say about $A$ and $B $?
jeemain
math
class11
ch1
sets
operation
on
easy
answered
May 17, 2013
by
rvidyagovindarajan_1
1
answer
If $A\cup B=A,\:\:$ then what can you say about $A$ and $B$?
jeemain
math
class11
ch1
sets
operation
on
easy
answered
May 17, 2013
by
rvidyagovindarajan_1
1
answer
If $A,B\:and\: C$ are three finite sets, then $[(A\cup B)\cap C]' $ = ?
jeemain
math
class11
ch1
sets
sec-a
easy
answered
May 15, 2013
by
rvidyagovindarajan_1
1
answer
How many proper subsets are there for a set having 5 elements ?
jeemain
math
class11
ch1
sets
sec-a
easy
answered
May 15, 2013
by
rvidyagovindarajan_1
1
answer
If $V=\{x:\:x+2=0\}$, $\:R=\{x:\:x^2+2x=0\}$ and $\:\:S=\{x:\:x^2+x-2=0\}$, then for what value of $x$, $V=R=S$ ?
jeemain
math
class11
ch1
sets
sec-a
easy
answered
May 15, 2013
by
rvidyagovindarajan_1
1
answer
If $A\:and\:B$ are two sets such that $(A-B)\cup B=A$, then what can you say about $A\:and\:B$?
jeemain
math
class11
ch1
sets
venn
diagram
and
operations
on
easy
answered
May 4, 2013
by
rvidyagovindarajan_1
1
answer
The no. of subsets of a finite set A is 56 more than the no. of subsets of another finite set B. What is the no. of elements of A?
jeemain
math
class11
ch1
sets
subsets-universal-sets-and-power-sets
medium
answered
May 1, 2013
by
rvidyagovindarajan_1
1
answer
If $ A=\{x\;/\;x\in\:N, \: $ and $\:x$ is a multiple of $3$ $\leq100\}$ and $B=\{x/x\in\:N\:$ and $\:x$ is multiple of $5$ $\leq\:100\}$, then no. of elements in $(A\times\:B)\cap\:(B\times\:A)\:is$
jeemain
math
class11
ch1
sets
venn-diagram-and-operations
easy
answered
Apr 29, 2013
by
rvidyagovindarajan_1
1
answer
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