Number Series, Coding and DecodingMCQMTP June 2023 Series IQuestion 2070 of 217
All Questions

Which number will come next in the following series? 675,623,573,525?\displaystyle 675, 623, 573, 525?

Options

A491\displaystyle 491
B479\displaystyle 479
C423\displaystyle 423
D456\displaystyle 456
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Correct Answer

Option b479\displaystyle 479

All Options:

  • A491\displaystyle 491
  • B479\displaystyle 479
  • C423\displaystyle 423
  • D456\displaystyle 456

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Detailed Solution & Explanation

To find the next term in the series 675,623,573,525,?\displaystyle 675, 623, 573, 525, ?, we analyze the differences between consecutive terms:

- 1st term to 2nd term: 675623=52\displaystyle 675 - 623 = 52
- 2nd term to 3rd term: 623573=50\displaystyle 623 - 573 = 50
- 3rd term to 4th term: 573525=48\displaystyle 573 - 525 = 48

We observe that the difference between terms is decreasing by exactly 2\displaystyle 2 at each step (52,50,48,\displaystyle 52, 50, 48, \dots).
Following this logical pattern, the next difference must be 46\displaystyle 46. We subtract 46\displaystyle 46 from the 4th term (525\displaystyle 525):
52546=479525 - 46 = 479

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 Syllabus

Exam Strategy Tip

This topic carries 5 Marks weightage. Focus on understanding core concepts rather than memorizing.

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