Multiple choice

A series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series. एक अनुक्रम दिया गया है, जिसमें एक संख्या लुप्त है। दिए गए विकल्पों में से वह सही विकल्प चुनिए जो अनुक्रम को पूरा करें। 15, 39, 74, 122, ?, 265

  1. 171

  2. 185

  3. 151

  4. 165
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B Correct answer
Explanation

Pattern of differences: 39 - 15 = 24, 74 - 39 = 35, 122 - 74 = 48. Second differences: 35 - 24 = 11, 48 - 35 = 13. The second differences increase by 2 (11, 13, 15, 17). Next second difference = 15, so next first difference = 48 + 15 = 63. Missing term = 122 + 63 = 185. Verification: 265 - 185 = 80, matches pattern.

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