Question

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

• A. \(165\)
• B. \(157\)
• C. \(169\)
• D. \(145\)

Hint:

In number series questions, first check simple patterns such as constant difference, constant ratio, or alternating operations before looking for more complex rules.

Answer 1

The Correct Option is B

Concept: A number series often follows a specific pattern such as a constant difference, constant ratio, or another arithmetic rule. Here we check the difference between consecutive terms.

Step 1: Find the difference between consecutive terms. \[ 285 - 253 = 32 \] \[ 253 - 221 = 32 \] \[ 221 - 189 = 32 \] Thus, the difference between each term is constant.

Step 2: Identify the pattern. Since each term decreases by \(32\), the series follows an arithmetic progression with common difference \[ d = -32 \]

Step 3: Find the next term. \[ 189 - 32 = 157 \] \[ \boxed{157} \]