You are given two identical sequences in two rows :
Sequence-I : 8, 4, 6, 15, 52.5, 236.25
Sequence-II : 5, A, B, C, D, E
What is the entry in the place of C for the Sequence-II ?

Correct Option: (c) 9.375
We are given Sequence-I: 8, 4, 6, 15, 52.5, 236.25 and Sequence-II: 5, A, B, C, D, E. Let us find the multiplicative pattern in Sequence-I: Term 1 to Term 2: 8 × 0.5 = 4. Term 2 to Term 3: 4 × 1.5 = 6. Term 3 to Term 4: 6 × 2.5 = 15. Term 4 to Term 5: 15 × 3.5 = 52.5. Term 5 to Term 6: 52.5 × 4.5 = 236.25. Thus, the multipliers are 0.5, 1.5, 2.5, 3.5, 4.5 successively. Applying the exact same multipliers to Sequence-II starting with 5: A = 5 × 0.5 = 2.5. B = A × 1.5 = 2.5 × 1.5 = 3.75. C = B × 2.5 = 3.75 × 2.5 = 9.375. D = C × 3.5 = 9.375 × 3.5 = 32.8125. E = D × 4.5. The question asks for the entry at C, which is 9.375. This corresponds to option (c).
हिंदी में प्रश्न एवं आदर्श उत्तर
नीचे दो पंक्तियों में दो सर्वसम अनुक्रम दिए गए हैं :
अनुक्रम-I : 8, 4, 6, 15, 52.5, 236.25
अनुक्रम-II : 5, A, B, C, D, E
अनुक्रम-II के लिए C के स्थान पर क्या प्रविष्टि है ?

सही उत्तर: (c) 9.375
दिए गए अनुक्रम-I (8, 4, 6, 15, 52.5, 236.25) में गुणात्मक पैटर्न इस प्रकार है: 8 × 0.5 = 4, 4 × 1.5 = 6, 6 × 2.5 = 15, 15 × 3.5 = 52.5, 52.5 × 4.5 = 236.25। यहाँ गुणक 0.5, 1.5, 2.5, 3.5, 4.5 हैं। इसी पैटर्न को अनुक्रम-II (5, A, B, C, D, E) पर लागू करते हैं: A = 5 × 0.5 = 2.5, B = 2.5 × 1.5 = 3.75, C = 3.75 × 2.5 = 9.375। अतः C के स्थान पर 9.375 प्रविष्टि है, जो विकल्प (c) है।