MCA Entrance Previous Year Question Bank

$T_n$ represents the no. of triangles formed from a polygon having $n$ vertices. If $T_{n+1}-T_n=21$, then $n$ is equal to:

12 members were present at a board meeting. Each member shook hands will all of the other memebers before and after the meeting. How many hand shakes were there?

The number of functions $f$ from the set $A=\{0,1,2\}$ into the set $B=\{0,1,2,3,4,5,6,7\}$ such that $f(i)\le f(j)$ for i < j and $i,j\in A$ is:

A switching circuit that produces one in a set of input bits as an output based on the control value of control bits is termed as

Using the digits 1, 5, 2, 8 all possible four digit numbers are formed and the sum of all such numbers is between:

Twelve villages in a district are divided into 3 zones with 4 villages per each zone. The telephones department of the district intends to connect the villages with telephone lines such that every two villages in the same zone are connected with three direct lines and every two villages belonging to different zones are connected with two direct lines. How many direct lines are required?

If $42{(}^n{P}_2)={}^n{P}_4$, then the value of $n$ is:

The number of one-to-one functions from $\{1,2,3\}$ to $\{1,2,3,4,5\}$ is:

The number of different license plates that can be formed in the format 3 English letters ($A,\dots ,Z$) followed by 4 digits ($0,1,\dots ,9$) with repetitions allowed in letters and digits is equal to:

The number of words that can be formed by using the letters of the word 'MATHEMATICS' that start as well as end with $T$ is: