11, 10, ?, 100, 1001, 1000, 1001 | vedclass

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Question

(C) The series consists of two alternating sub-series.The $1st, 3rd, 5th, 7th$ terms are: $11, ?, 1001, 10001$.The $2nd, 4th, 6th$ terms are: $10, 100

Vedclass · Accepted Answer

$101$

Vedclass · Answer

(C) The series consists of two alternating sub-series.The $1st, 3rd, 5th, 7th$ terms are: $11, ?, 1001, 10001$.The $2nd, 4th, 6th$ terms are: $10, 100, 1000$.Analyzing the first sub-series $(11, ?, 1001, 10001)$:- The $1st$ term is $11$ (zero zeros between $1s$).- The $3rd$ term should follow the pattern of increasing the number of zeros between the $1s$.- The $5th$ term is $1001$ (two zeros between $1s$).- The $7th$ term is $10001$ (three zeros between $1s$).Following this pattern,the $3rd$ term $(?)$ must have one zero between the $1s$,which is $101$.Therefore,the missing number is $101$.

$11, 10, ?, 100, 1001, 1000, 1001$

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