Three of the six vertices of a regular hexagon are chosen at random. The probability that the triangle formed is equilateral is equal to

1

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

2

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

3

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

Topic: JAMIA MCA 2017

4

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

5

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

Topic: JAMIA MCA 2017

6

Let $\vec{A} = \hat{i} - \hat{j} + \hat{k}$ and $\vec{C} = -\hat{i} - \hat{j}$ be two vectors. Which of the following…

Topic: JAMIA MCA 2017

7

If $A = \left[\begin{array}{cc} x & 2 \\ 2 & x \end{array}\right]$ and $|A^2| = 0$, then $x$ is equal to

Topic: JAMIA MCA 2017

8

If $\omega$ is a cube root of unity, then $\left|\begin{array}{ccc} 1 & \omega & \omega^2 \\ 1 & \omega^2 & 1 \\ \omeg…

Topic: JAMIA MCA 2017

9

The sum of $(n+1)$ terms of the series $\dfrac{C_0}{2} - \dfrac{C_1}{3} + \dfrac{C_2}{4} - \dfrac{C_3}{5} + \dots$ is

Topic: JAMIA MCA 2017

10

The number of arrangements of the letters of the word BANANA in which the two N’s do not appear adjacently is

Topic: JAMIA MCA 2017

1

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

2

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

Topic: JAMIA MCA 2017

3

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

Topic: JAMIA MCA 2017

4

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

5

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)^{…

Topic: JAMIA MCA 2017

6

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

7

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

8

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

9

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

Topic: JAMIA MCA 2017

10

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