Question
Download Solution PDFनिर्देश: खालील संचातील संख्यांप्रमाणेच संख्या संबंधित असलेल्या संचाची निवड करा.
(2, 7, 57)Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFयेथे अनुसरण केलेला तर्क आहे:
दुसरी संख्या = [पहिली संख्या × (पहिली संख्या + 1)] + 1
तिसरी संख्या = [दुसरी संख्या × (दुसरी संख्या + 1)] + 1
दिलेला संच आहे (2, 7, 57)
दुसरी संख्या = [पहिली संख्या × (पहिली संख्या + 1)] + 1
= [2 × (2 + 1)] + 1
= [2 × 3] + 1
= 6 + 1 = 7
तिसरी संख्या = [दुसरी संख्या × (दुसरी संख्या + 1)] + 1
= [7 × (7 + 1)] + 1
= [7 × 8] + 1
= 56 + 1 = 57
पर्याय तपासून :-
1) (4, 21, 463)
दुसरी संख्या = [पहिली संख्या × (पहिली संख्या + 1)] + 1
= [4 × (4 + 1)] + 1
= [4 × 5] + 1
= 20 + 1 = 21
तिसरी संख्या = [दुसरी संख्या × (दुसरी संख्या + 1)] + 1
= [21 × (21 + 1)] + 1
= [21 × 22] + 1
= 462 + 1 = 463
2) (3, 20, 81)
दुसरी संख्या = [पहिली संख्या × (पहिली संख्या + 1)] + 1
= [3 × (3 + 1)] + 1
= [3 × 4] + 1
= 12 + 1 = 13 ≠ 20
3) (5, 21, 121)
दुसरी संख्या = [पहिली संख्या × (पहिली संख्या + 1)] + 1
= [5 × (5 + 1)] + 1
= [5 × 6] + 1
= 30 + 1 = 31 ≠ 21
4) (3, 27, 729)
दुसरी संख्या = [पहिली संख्या × (पहिली संख्या + 1)] + 1
= [3 × (3 + 1)] + 1
= [3 × 4] + 1
= 12 + 1 = 13 ≠ 27
म्हणून, "(4, 21, 463)" योग्य उत्तर आहे.
Last updated on Jul 19, 2025
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