List of top Quantitative Aptitude Questions on Divisibility and Factors asked in CAT

Find the minimum integral value of $n$ such that the division $55n/124$ leaves no remainder.

A positive integer is said to be a prime number if it is not divisible by any positive integer other than itself and 1. Let $p$ be a prime number greater than 5. Then $(p^2 - 1)$ is:

To decide whether an $n$-digit number is divisible by 7, a process is defined by using weights of powers of 3 from the right: i.e., for number $abc$, compute $a \cdot 3^2 + b \cdot 3^1 + c \cdot 3^0$ Given: $259 \Rightarrow 2 \cdot 9 + 5 \cdot 3 + 9 = 18 + 15 + 9 = 42$ Now for number 203, how many such stages are needed to reduce it to 7?

A man walks one km east, two km north, one km east, one km north, one km east, one km north. What is the shortest distance from the starting point to the destination?

If $x$ is a positive integer such that $2x + 12$ is divisible by $x$, then the number of possible values of $x$ is: