MCA Entrance Previous Year Question Bank

The total number of four digit numbers such that each of the first three digits is divisible by the last digit, is equal to ________.

Let $b_1,b_2,b_3,b_4$ be a 4-element permutation with $b_i\in \{1,2,3,\dots ,100\}$ for $1\le i\le 4$ and $b_i\ne b_j$ for $i\ne j$, such that either $b_1,b_2,b_3$ are consecutive integers or $b_2,b_3,b_4$ are consecutive integers. Then the number of such permutations $b_1,b_2,b_3,b_4$ is equal to:

Number of integral solutions to the equation $x+y+z=21$, where $x\ge 1,y\ge 3,z\ge 4$, is equal to:

The total number of six digit numbers, formed using the digits $4,5,9$ only and divisible by $6$, is:

The number of words, with or without meaning, that can be formed using all the letters of the word ASSASSINATION so that the vowels occur together, is:

If ${}^{2n+1}{P}_{n-1}:{}^{2n-1}{P}_n=11:21$, then $n^2+n+15$ is equal to : ________.

Let 5-digit numbers be constructed using the digits $0,2,3,4,7,9$ with repetition allowed, and are arranged in ascending order with serial numbers. Then the serial number of the number 42923 is:

The number of seven digits odd numbers, that can be formed using all the seven digits $1,2,2,2,3,3,5$ is ________.

The number of ways of selecting two numbers $a$ and $b$, $a\in \{2,4,6,\dots ,100\}$ and $b\in \{1,3,5,\dots ,99\}$ such that $2$ is the remainder when $a+b$ is divided by $23$ is:

Number of 4-digit numbers (the repetition of digits is allowed) which are made using the digits 1, 2, 3 and 5 and are divisible by 15 , is equal to