MCA Entrance Previous Year Question Bank

The equation of the tangent to the hyperbola $\frac{x^2}{9}-\frac{y^2}{4}=1$ parallel to the line $3x-2y+5=0$ is:

The mean deviation about mean of $x-2,x,x+2$ is:

If the universal set:

$S=\{x\mid -1\le x\le 150\}$

$A=\{\text{multiples of }6\}$

$B=\{\text{multiples of }10\}$

Then how many elements are there in $(A\cup B)-(A\cap B)$?

How can I solve limit $\frac{\sin (\sin x)}{x}$ as $x$ approaches to 0?

If $P(A)=0.4$, $P(B)=p$ and $P(A\cup B)=0.6$ and $A$ and $B$ are independent events, then find the value of $p$.

Let $A,B$ be $n\times n$ matrices such that $BA+B^2=I-B{A}^2$, where $I$ is the $n\times n$ identity matrix. Which of the following is always true?

Three cards are chosen at random from a deck of 52 cards without replacement. What is the probability of getting an ace, a king and a queen in that order?

Consider the following statements:

1. $P(\bar{A}\cup B)=P(\bar{A})+P(B)-P(\bar{A}\cap B)$

2. $P(A\cup \bar{B})=P(B)-P(A\cap B)$

3. $P(A\cap B)=P(B)P(A|B)$

Which of the above statement are correct?

Find the equations of the tangents of the circle $x^2+y^2=9$, which:

(i) are parallel to the line $3x+4y-5=0$

(ii) are perpendicular to the line $2x+3y+7=0$

(iii) make an angle of $60^{\circ }$ with the X-axis

If 6th and 11th terms of an H.P. are $1/11$ and $1/19$, find the 1st term.