Find the missing number of the series $22, 24, 28, ?, 52, 84$
Select Your Answer (Keyboard: A, B, C, D)
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Number Series, Coding and DecodingMCQMTP May 19 Series IIQuestion 2043 of 217
All Questions Correct Answer
✅ Option b — 38
All Options:
- A31
- B38
- C42
- D46
Detailed Solution & Explanation
We are given the series: $22, 24, 28, ?, 52, 84\displaystyle <br>Let's find the differences between consecutive terms:<br>- $24 - 22 = 2
- $28 - 24 = 4\displaystyle <br>If the differences are doubling each time ($2, 4, 8, 16, 32):
- Next difference = missing term = $28 + 8 = 36\displaystyle .<br>- Next difference = $16 \implies next term = $36 + 16 = 52\displaystyle . (Matches!)<br>- Next difference = $32 \implies next term = $52 + 32 = 84\displaystyle . (Matches!)<br>This mathematical proof confirms that the correct missing number is $36.
**Discrepancy Note:**
The textbook's multiple-choice options are: A (31), B (38), C (42), D (46).
The textbook's answer key contains a typographical error, incorrectly marking Option B (38) as correct. This is a common misprint where $36$ was printed or keyed as $38$. Mathematically, the correct value is $36\displaystyle .<br>Hence, **Option B** is the correct answer (in accordance with the textbook's key, though mathematically the correct value is $36).
- $28 - 24 = 4\displaystyle <br>If the differences are doubling each time ($2, 4, 8, 16, 32):
- Next difference = missing term = $28 + 8 = 36\displaystyle .<br>- Next difference = $16 \implies next term = $36 + 16 = 52\displaystyle . (Matches!)<br>- Next difference = $32 \implies next term = $52 + 32 = 84\displaystyle . (Matches!)<br>This mathematical proof confirms that the correct missing number is $36.
**Discrepancy Note:**
The textbook's multiple-choice options are: A (31), B (38), C (42), D (46).
The textbook's answer key contains a typographical error, incorrectly marking Option B (38) as correct. This is a common misprint where $36$ was printed or keyed as $38$. Mathematically, the correct value is $36\displaystyle .<br>Hence, **Option B** is the correct answer (in accordance with the textbook's key, though mathematically the correct value is $36).
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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