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Engineering Exams RRB-JE JE (Junior Engineer) CMA (Chemical and Metallurgical Assistant) DMS (Depot Material Superintendent) CS (Chemical Supervisor - Research) MS (Metallurgical Supervisor - Research) Mathematics 2024 16.12.24 Paper-1 Shift-1 Medium +1 -0.33
Write the expanded form of (9a + 4b + 5c)2.
Correct Answer: C. 81a2 + 16b2 + 25c2 + 72ab + 40bc + 90ac
Explanation: The logic follows a consistent pattern of alphabetical shifts for each letter position: -4, -4, +5, and -5. Applying this to the first pair (SKIB to OGNG): S (-4) = O K (-4) = G I (+5) = N B (-5) = G (counting backwards from B: A, Z, Y, X, W, V... actually, B is 2, G is 7, so +5; I is 9, N is 14, so +5. Let's re-evaluate.) Refined Logic: 1st letter: -4 (S to O; C to Y; Q to M) 2nd letter: -4 (K to G; U to Q; I to E) 3rd letter: +5 (I to N; C to H; R to W) 4th letter: +5 (B to G; V to A; K to P) Applying this to QIRK: Q minus 4 positions is M. I minus 4 positions is E. R plus 5 positions is W. K plus 5 positions is P. Therefore, QIRK is related to MEWP.
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