Find the missing term in each of the following series : $28, 33, 31, 36, 34, ?$
Select Your Answer (Keyboard: A, B, C, D)
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Number Series, Coding and DecodingMCQMTP Dec 22 - Series II RTP Sep 24Question 2063 of 217
All Questions Correct Answer
✅ Option b — $39$
All Options:
- A$48$
- B$39$
- C$54$
- D$62$
Detailed Solution & Explanation
To find the missing term of the series $28, 33, 31, 36, 34, ?\displaystyle , let us analyze the differences between successive terms:<br><br>- 1st term to 2nd term: $33 - 28 = +5
- 2nd term to 3rd term: $31 - 33 = -2\displaystyle <br>- 3rd term to 4th term: $36 - 31 = +5
- 4th term to 5th term: $34 - 36 = -252+5, -2, +5, -2, \dots5$ to the 5th term ($34$):
This mathematically proves that the correct answer is **Option B** ($39\displaystyle ).<br><br>*Note on Answer Key Discrepancy:* The textbook answer key lists **Option C** ($54) as correct. However, there is no logical mathematical pattern in which $54$ fits as the next number, whereas $39$ perfectly satisfies the alternating pattern . Therefore, the answer key has a typographical error, and the correct option is indeed **Option B**.
Hence, **Option B** is the correct answer.
- 2nd term to 3rd term: $31 - 33 = -2\displaystyle <br>- 3rd term to 4th term: $36 - 31 = +5
- 4th term to 5th term: $34 - 36 = -252+5, -2, +5, -2, \dots5$ to the 5th term ($34$):
This mathematically proves that the correct answer is **Option B** ($39\displaystyle ).<br><br>*Note on Answer Key Discrepancy:* The textbook answer key lists **Option C** ($54) as correct. However, there is no logical mathematical pattern in which $54$ fits as the next number, whereas $39$ perfectly satisfies the alternating pattern . Therefore, the answer key has a typographical error, and the correct option is indeed **Option B**.
Hence, **Option B** is the correct answer.
About This Chapter: Number Series, Coding and Decoding
Paper
Paper 3: Quantitative Aptitude
Weightage
5 Marks
Key Topics
Number series, Coding & Decoding, Odd man out
This chapter covers Number series, Coding & Decoding, Odd man out and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.
View Official ICAI SyllabusExam Strategy Tip
This topic carries 5 Marks weightage. Focus on understanding core concepts rather than memorizing.
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