Let $f:\mathbb{R}\to\mathbb{R},\; g:\mathbb{R}\to\mathbb{R}$ be given by $f(x)=2x-3$ and $g(x)=x/2$. Then $(f\circ g)^{-1}(x)$ is equal to

1

Let cardinality of set A and B are 2 and 5 respectively. The number of relations from A to B is

Topic: JAMIA MCA 2017

2

Let n be a positive decimal integer. The number of digits in n is equal to

Topic: JAMIA MCA 2017

3

Let 10 is the cardinality of set A. The number of bijective mappings from set A to itself is

Topic: JAMIA MCA 2017

4

If the roots of equation $(b-c)x^2 + (c-a)x + (a-b) = 0$ be equal, then $a,b,c$ are in

Topic: JAMIA MCA 2017

5

Three of the six vertices of a regular hexagon are chosen at random. The probability that the triangle formed is equi…

Topic: JAMIA MCA 2017

6

The area of the triangle with vertices $A(a, b+c)$, $B(b, c+a)$ and $C(c, a+b)$ is equal to

Topic: JAMIA MCA 2017

7

A point $P$ on the $y$-axis is equidistant from the points $A(-5,4)$ and $B(3,-2)$. Its coordinate is

Topic: JAMIA MCA 2017

8

$(A - B) - A$ is equal to

Topic: JAMIA MCA 2017

9

Let $A$ and $B$ be two disjoint subsets of a universal set $E$. Then $(A \cup B)\cap B'$ is equal to

Topic: JAMIA MCA 2017

10

Two dice are thrown simultaneously. The probability of obtaining a total score of $5$ is

Topic: JAMIA MCA 2017

1

Let $f:\mathbb{R}\to\mathbb{R}$ be defined by $f(x)=x^{2}+5$. Then the value of $f^{-1}(4)$ is

Topic: JAMIA MCA 2017

2

If $g:\mathbb{R}\to\mathbb{R}$ is defined by $g(x)=x^{2}-2$, then the value of $g^{-1}(23)$ is

Topic: JAMIA MCA 2017

3

Let cardinality of A and B are 3 and 10 respectively. The number of one-to-one functions from A to B is

Topic: JAMIA MCA 2017

4

Let $A=\{1,2,3,4\}$ and $B=\{a,b\}$. The number of surjective mappings from A to B is

Topic: JAMIA MCA 2017

5

Let $z=\sqrt{3}+i$ be a complex number and $\bar z$ its conjugate. The $|\arg z|+|\arg \bar z|$ is equal to

Topic: JAMIA MCA 2017

6

The $\dfrac{(\sqrt3+i)^{17}}{(1-i)^{50}}$ is equal to …

Topic: JAMIA MCA 2017

7

For which value of $x$, $\left(\dfrac{1+i}{1-i}\right)^{x}=1$ ?

Topic: JAMIA MCA 2017

8

If $\omega$ is a cube root of unity, the value of $(1-\omega-\omega^{2})(1+\omega^{3})$ is …

Topic: JAMIA MCA 2017

9

Let $z$ be a complex number. Which of the following is a solution of $|z|-z=1+2i$?

Topic: JAMIA MCA 2017

10

If $\sin\theta+\csc\theta=2$, then $\sin^{n}\theta+\csc^{n}\theta$ equals …

Topic: JAMIA MCA 2017