APPSC Group-I Prelims 2023 Paper II · Question 42
Question 42 of the APPSC Group-I Prelims 2023 Paper II (8 January 2023). Try it first, then open the answer and explanation.
In the following question, select the number which can replace the question mark (?) from the given alternatives : (Figure: a circle divided into four quarters; each quarter has two outer numbers and one inner number — outer numbers | inner number) Top-left: 3, 9 | 216 Top-right: 14, 3 | 1331 Bottom-right: 9, 4 | 125 Bottom-left: 15, 28 | ?
కింది ప్రశ్నలో, ప్రశ్న గుర్తు (?) లో ఉంచగల సంఖ్య ఇచ్చిన ప్రత్యామ్నాయం నుండి ఎంచుకోండి : 3, 9 | 216 14, 3 | 1331 9, 4 | 125 15, 28 | ?
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Answer: 2197
సమాధానం: 2197
In each quarter the inner number is the cube of the difference of the two outer numbers: (9 − 3)³ = 216, (14 − 3)³ = 1331, (9 − 4)³ = 125, so ? = (28 − 15)³ = 13³ = 2197.