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।
In English (Question & Model Answer)
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).