Home›UPSC Prelims›Paper 2: General Studies II (CSAT)›Civil Services Aptitude Test (CSAT)›Basic Numeracy & Data Interpretation›You are given two identical sequences in two rows : Sequence-I : 8,

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 ?

Question diagram
20213Mprelimsupscyear-2021p2quantitative-aptitude
A.(a) 2.5
B.(b) 5
C.(c) 9.375Correct
D.(d) 32.8125
Explanation & Solution

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 ?

प्रश्न का चित्र
A.(a) 2.5
B.(b) 5
C.(c) 9.375सही
D.(d) 32.8125

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।

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