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, ?, ?
- A.
12
- B.
14
- C.
13
- 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.
53 to 40 is a decrease of 13.
40 to 27 is also a decrease of 13, confirming a constant step of 13.
Applying the same step to the last distinct term: 27 − 13 = 14.
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.