List of top General Aptitude Questions on Analytical Reasoning (pattern-based sequences) asked in GATE EE

Consider a linear arrangement of seven bulbs, each of which can be in the ON or OFF state. The initial configuration of the bulbs is shown below. In every step, the states of the bulbs change based on the following rules:
  • Any OFF bulb with exactly one ON neighbor at the end of the previous step is turned ON.
  • Any ON bulb with both neighbors ON at the end of the previous step is turned OFF.
  • The state of any bulb not meeting the conditions above is left unchanged.
The states of the bulbs at the end of Step 1 and Step 2 are also shown below.
StageBulb 1Bulb 2Bulb 3Bulb 4Bulb 5Bulb 6Bulb 7
InitialOFFOFFOFFONOFFOFFOFF
Step 1OFFOFFONONONOFFOFF
Step 2OFFONONOFFONONOFF
The number of bulbs which are ON at the end of Step 8 is ______
Based on the relationship between each polygon and the number inside it, the value of 'X' is ______. A triangle contains the number 6, a rectangle contains 24, a pentagon contains 120, and a hexagon contains X.