List of top General Aptitude Questions on Sequence and Series

The sum of the following infinite series is: \[ 1 + \frac{1}{1!} + \frac{1}{2!} + \frac{1}{3!} + \frac{1}{4!} + \frac{1}{5!} + \dots \]

The figures I, II, and III are parts of a sequence. Which one of the following options comes next in the sequence at IV?


 

Which one of the given options is a possible value of $x$ in the following sequence? \[ 3,\; 7,\; 15,\; x,\; 63,\; 127,\; 255 \]
In a locality, the houses are numbered in the following way: The house-numbers on one side of a road are consecutive odd integers starting from 301, while the house-numbers on the other side of the road are consecutive even numbers starting from 302. The total number of houses is the same on both sides of the road. If the difference of the sum of the house-numbers between the two sides of the road is 27, then the number of houses on each side of the road is