Skip to content
Official PYQ · 2018

GATE CS 2018 QGA-5 — General Aptitude

Explain with AI

 What is the missing number in the following sequence?\text{ What is the missing number in the following sequence?}

2, 12, 60, 240, 720, 1440,                 ‾,02,\,12,\,60,\,240,\,720,\,1440,\,\underline{\;\;\;\;\;\;\;\;},0

Choose one option
View worked solution

Answer: B

Let us analyze the relationship between consecutive terms in the given sequence:

2×6=1212×5=6060×4=240240×3=720720×2=1440\begin{align*} 2 \times 6 &= 12 \\ 12 \times 5 &= 60 \\ 60 \times 4 &= 240 \\ 240 \times 3 &= 720 \\ 720 \times 2 &= 1440 \end{align*}

We can observe that each term is multiplied by a decreasing integer (starting from 66 and decreasing by 11 at each step) to get the next term.

Following this pattern:

  • The next multiplier must be 11: Missing term=1440×1=1440\text{Missing term} = 1440 \times 1 = 1440
  • The multiplier after that must be 00: Next term=1440×0=0\text{Next term} = 1440 \times 0 = 0

This perfectly matches the final term 00 in the sequence. Therefore, the missing number is 1440.

Free practice · Your answers on this page are not saved.

Published
Report a correction
Keep exploringMore General Aptitude questions