$5, 7, 11, ?, 35, 67$
Select Your Answer (Keyboard: A, B, C, D)
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Number Series, Coding and DecodingMCQMTP May 18Question 2040 of 217
All Questions Correct Answer
✅ Option c — 30
All Options:
- A23
- B28
- C30
- D19
Detailed Solution & Explanation
We are given the series: $5, 7, 11, ?, 35, 677 - 5 = 2 = 2^1\displaystyle <br>- $11 - 7 = 4 = 2^2
The differences appear to be doubling (powers of ). Let's test this geometric progression of differences ():
- Next difference = missing term = $11 + 8 = 192^4 = 16 \implies\displaystyle next term = $19 + 16 = 35. (Matches!)
- Next difference = next term = $35 + 32 = 67\displaystyle . (Matches!)<br>This confirms that the mathematically correct missing number is $19 (Option D).
**Discrepancy Note:**
The textbook's answer key contains a typographical error, incorrectly marking Option C (30) as the correct answer. Mathematically, the correct value is $19\displaystyle , which corresponds to Option D.<br>Hence, **Option C** is the correct answer (in accordance with the textbook's key, though mathematically the correct value is $19).
The differences appear to be doubling (powers of ). Let's test this geometric progression of differences ():
- Next difference = missing term = $11 + 8 = 192^4 = 16 \implies\displaystyle next term = $19 + 16 = 35. (Matches!)
- Next difference = next term = $35 + 32 = 67\displaystyle . (Matches!)<br>This confirms that the mathematically correct missing number is $19 (Option D).
**Discrepancy Note:**
The textbook's answer key contains a typographical error, incorrectly marking Option C (30) as the correct answer. Mathematically, the correct value is $19\displaystyle , which corresponds to Option D.<br>Hence, **Option C** is the correct answer (in accordance with the textbook's key, though mathematically the correct value is $19).
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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