In the given series state the value that will replace the two ? signs- 53, 53,…

2024

In the given series state the value that will replace the two ? signs-

53, 53, 40, 40, 27, 27, ?, ?

  1. A.

    12

  2. B.

    14

  3. C.

    13

  4. D.

    20

Attempted by 1 students.

Show answer & explanation

Correct answer: B

Concept: In a paired-repetition number series, each distinct value appears twice in a row, and the sequence of distinct values itself follows its own simple rule — here, a constant arithmetic step. To find a missing pair, strip out the repetition to get the sequence of distinct terms, identify the constant step between consecutive distinct terms, and apply that same step once more.

Application: Removing the repetition from 53, 53, 40, 40, 27, 27 gives the distinct terms 53, 40, 27.

  1. 53 to 40 is a decrease of 13.

  2. 40 to 27 is also a decrease of 13, confirming a constant step of 13.

  3. Applying the same step to the last distinct term: 27 − 13 = 14.

  4. Since every distinct term repeats twice, 14 replaces both ? signs.

Cross-check: The three steps — 53 to 40, 40 to 27, and the implied next step — are all equal at 13, so the pattern is consistent throughout the series, confirming 14 as the term that continues it.

Hence, the correct option is the one showing 14.

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