Question:medium

Complete the series: \(285,\,253,\,221,\,189,\, ?\)

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In number series questions, first check simple patterns such as constant difference, constant ratio, or alternating operations before looking for more complex rules.
Updated On: May 1, 2026
  • \(165\)
  • \(157\)
  • \(169\)
  • \(145\)
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The Correct Option is B

Solution and Explanation

Step 1: Understanding the Question:
The problem is a numerical sequence where we need to identify the pattern of change between consecutive terms to find the next value.
Step 2: Detailed Explanation:
Let's find the difference between consecutive terms in the series:
\[ 285 - 253 = 32 \]
\[ 253 - 221 = 32 \]
\[ 221 - 189 = 32 \]
We observe a constant decrease of 32 between each term. This is an Arithmetic Progression (AP).
To find the next term, subtract 32 from the last given term:
\[ 189 - 32 = 157 \]
Step 3: Final Answer:
The missing number in the series is \( 157 \).
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