Next term of the following series is :
(AG/d)⁶, (CK/g)²¹, (EO/j)⁴⁵, (GS/m)⁷⁸, ?निम्न श्रेणी का अगला पद है :
(AG/d)⁶, (CK/g)²¹, (EO/j)⁴⁵, (GS/m)⁷⁸, ?

1. A(IX/p)¹²⁷
2. B(IV/q)¹³³
3. C(IW/p)¹²⁰
4. D(IX/q)¹²⁷

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Correct answer: C. (IW/p)¹²⁰

Explanation

Four patterns run together. First capital: A, C, E, G (+2) → I. Second capital: G, K, O, S (+4) → W. Small letter: d, g, j, m (+3) → p. Exponents 6, 21, 45, 78 rise by 15, 24, 33, so the next rise is 42 and 78 + 42 = 120. The next term is (IW/p)¹²⁰.चार पैटर्न साथ-साथ चलते हैं। पहला बड़ा अक्षर : A, C, E, G (+2) → I। दूसरा बड़ा अक्षर : G, K, O, S (+4) → W। छोटा अक्षर : d, g, j, m (+3) → p। घातांक 6, 21, 45, 78 क्रमशः 15, 24, 33 से बढ़ते हैं, अतः अगली वृद्धि 42 होगी और 78 + 42 = 120। अतः अगला पद (IW/p)¹²⁰ है।