Number Series, Coding, Odd Man OutMTP 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 b — 479\displaystyle 479

All Options:

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

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: 675−623=52\displaystyle 675 - 623 = 52
- 2nd term to 3rd term: 623−573=50\displaystyle 623 - 573 = 50
- 3rd term to 4th term: 573−525=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):
525−46=479525 - 46 = 479

Hence, **Option B** is the correct answer.

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