Recent questions in JEEMAIN and NEET

The set that cannot be represented by roster form is:

asked May 17, 2013 by rvidyagovindarajan_1

1 answer

How is Null set represented in set builder form ?

asked May 17, 2013 by rvidyagovindarajan_1

1 answer

If $A\cap B=B$ then what can you say about $A$ and $B$ ?

asked May 17, 2013 by rvidyagovindarajan_1

1 answer

If $A\cup B=A,\:\:$ then what can you say about $A$ and $B$ ?

asked May 17, 2013 by rvidyagovindarajan_1

1 answer

Range of $f(x)=\large\frac{|x|}{x}$ is ?

asked May 17, 2013 by rvidyagovindarajan_1

1 answer

Domain of $y=log(1+x)$ is ?

asked May 17, 2013 by rvidyagovindarajan_1

1 answer

If $A,B\:and\: C$ are three finite sets, then $[(A\cup B)\cap C]'$ = ?

asked May 15, 2013 by rvidyagovindarajan_1

1 answer

How many proper subsets are there for a set having 5 elements ?

asked 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 $x$ , $V=R=S$ ?

asked May 15, 2013 by rvidyagovindarajan_1

1 answer

If $f=\{(1,5),(2,6),(3,4)\}$ and $g=\{(4,7),(5,8),(6,9)\}$ , then $gof$ = ?

asked May 15, 2013 by rvidyagovindarajan_1

1 answer

$f:N\rightarrow Z$ is a function defined as $f(n)=\left\{ \begin {array} {1 1} \large\frac{n-1}{2}, \:\:when\:\: n\:\: is\:\: odd \\ -\large \frac{n}{2},\:\:when\:\: n\:\: is\:\: even \\ \end{array} \right.$ , then $f$ is

asked May 13, 2013 by rvidyagovindarajan_1

1 answer

If $M$ is the set of all $2\times 2$ matrices with real entries and $f :M\rightarrow R$ is defined as $f(A)=|A| \:\forall\:A\in M$ , then $f$ is

asked May 12, 2013 by rvidyagovindarajan_1

1 answer

If $g(x)=1+x-[x]$ where $[x]$ is greatest integer $x$ and $f(x)=\left\{\begin{array}{111}-1,\:\:\:\:x<0\\0,\:\:\:\:\:x=0\\1,\:\:\:\:\:x>0\end{array}\right.$ then $fog(x)=?$

asked May 12, 2013 by rvidyagovindarajan_1

1 answer

If $f(x)=x^2\:\:and\:\:g(x)=2^x$ and $fog(x)=gof(x)$ then $x$ = ?

asked May 12, 2013 by rvidyagovindarajan_1

1 answer

If $f(x)=\large\frac{1}{1-x}$ is a function defined in $R-\{1\}$ then $\;fofof(x)$ = ?

asked May 12, 2013 by rvidyagovindarajan_1

1 answer

If $$ is a binary operation defined as $ab=3a-b$ , then $(23)4=$ ?

asked May 12, 2013 by rvidyagovindarajan_1

1 answer

If * is a binary operation defined by a*b= $\frac{ab}{100}$ in $Q^+$ then the inverse element of 0.1 is:

asked May 12, 2013 by rvidyagovindarajan_1

1 answer

If $[2x-3]=5$ , what are the values of $x$ where $[.]$ is greatest integer function

asked May 8, 2013 by rvidyagovindarajan_1

1 answer

If $f(x)=log\bigg(\large\frac{1+x}{1-x}\bigg)$ , then $f(x)+f(y)$ = ?

asked May 8, 2013 by rvidyagovindarajan_1

1 answer

If $f(x)=x^2$ $g(x)=sinx$ , $\forall x\in R$ , then the set of all $x$ satisfying $fogogof(x)=gogof(x)$ is

asked May 7, 2013 by rvidyagovindarajan_1

1 answer

If $f(x)$ is a real valued function satisfying $f(x+1)+f(x-1)=2f(x)$ $\forall x\in R$ and $f(0)=0$ , then for any $n\in N,\:f(n)$ = ?

asked May 7, 2013 by rvidyagovindarajan_1

1 answer

If $f:R\rightarrow R$ is a function defined as $f(2x+3)+f(2x+7)=2$ $\forall x\in R$ then the period of $f(x)$ is

asked May 7, 2013 by rvidyagovindarajan_1

1 answer

The range of the real valued function $f(x)=\large\frac{x^2+x+2}{x^2+x+1}$ is

asked May 7, 2013 by rvidyagovindarajan_1

1 answer

The domain of $y=sin^{-1}(1+3x+2x^2)$ is

asked May 7, 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 $A\:and\:B$ ?

asked May 4, 2013 by rvidyagovindarajan_1

1 answer

If $f:R\rightarrow S$ defined by $\:f(x)=\sin x-\sqrt3\; \cos x+1\;$ is onto function then $S$ = ?

asked May 4, 2013 by rvidyagovindarajan_1

1 answer

If $f$ is a real values function satisfying $f(x+y)=f(x)\;f(y)$ and $f(1)=a$ where $x,y\in R$ , then $f(x)$ =

asked May 4, 2013 by rvidyagovindarajan_1

1 answer

The value of $\alpha$ for which the function $f(x)=1+\alpha x,\:\:\alpha\neq 0$ is the inverse of itself is:

asked May 4, 2013 by rvidyagovindarajan_1

1 answer

The inverse of $f(x)=x-[x],$ where $[x]$ is greatest integer function is

asked May 2, 2013 by rvidyagovindarajan_1

2 answers

What is the inverse of the function $f(x)=\large\frac{e^x-e^{-x}}{e^x+e^{-x}}$

asked May 2, 2013 by rvidyagovindarajan_1

1 answer

What is the domain of $f(x)=\large\frac{[x]+1}{[x]-1}$ where $[x]$ is greatest integer function

asked May 1, 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?

asked May 1, 2013 by rvidyagovindarajan_1

1 answer

If $A=\{1,2,3\}$ then the no. of relations in $A$ containing $(1,2)$ and $(1,3)$ which are reflexive and symmetric but not transitive is

asked May 1, 2013 by rvidyagovindarajan_1

1 answer

If * is binary operation defined in N as ab= $a^3+b^3$ then is

asked May 1, 2013 by rvidyagovindarajan_1

1 answer

If n(A) = 4, n(B) = 6, then the number of 1-1 functions from A to B is

asked May 1, 2013 by rvidyagovindarajan_1

1 answer

The domain of $sin^{-1}\big[log_3(\large\frac{x}{3})\big]$ is

asked Apr 29, 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 $(A\times\:B)\cap\:(B\times\:A)\:is$

asked Apr 29, 2013 by rvidyagovindarajan_1

1 answer

If $S$ is a set having 10 elements in it and $A$ is a relation in $S$ defined as $A=\{(x,y)$ , where $x,y \in\:S\;$ and $\;x\neq\;y.\}$ , then no. of elements in $A$ is

asked Apr 29, 2013 by rvidyagovindarajan_1

1 answer

If $A=\{1,2,3,4\}$ and $B=\{1,2\}$ , then the number of onto functions from $A$ to $B$ is

asked Apr 28, 2013 by rvidyagovindarajan_1

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 number of ways the partition can be done is equal to: $(A)\:\:\:\large \frac{12!}{3!(3!)^4}\quad$ $(B)\:\:\:\large \frac{12!}{(4!)^3}\quad$ $(C)\:\:\:\ \large \frac{12!}{(3!)^3}\quad$ $(D)\:\:\: \large \frac{12!}{3!(4!)^3}\quad$

asked Apr 26, 2013 by balaji.thirumalai

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

asked Apr 26, 2013 by rvidyagovindarajan_1

1 answer

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