खालील संचातील संख्यांप्रमाणेच ज्या संचातील संख्या संबंधित आहेत तो संच निवडा.

(सूचना: संख्यांचे घटक अंकांमध्ये खंडित न करता, संपूर्ण संख्यांवर ऑपरेशन्स केल्या पाहिजेत. उदा., 13 - 13 वरील गणितीय क्रिया जसे की 13 ला बेरीज/वजाबाकी/गुणाकार करणे इत्यादी. 3 आणि नंतर 1 आणि 3 वर गणिती क्रिया करण्यास परवानगी नाही).

(4, 5, 83)

(5, 5, 102)

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 17 Jul 2023 Shift 2)
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  1. (8, 9, 330)
  2. (3, 3, 11)
  3. (7, 6, 170)
  4. (8, 3, 123)

Answer (Detailed Solution Below)

Option 4 : (8, 3, 123)
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Detailed Solution

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तर्क: (पहिली संख्या + दुसरी संख्या)2 + 2 = तिसरी संख्या

दिलेले आहे:

(i) (4, 5, 83)

⇒ (4 + 5)2 + 2 = 83

⇒ (9)2 + 2 = 83

⇒ 81 + 2 = 83

⇒ 83 = 83 (डावी बाजू = उजवी बाजू)

(ii) (5, 5, 102)

⇒ (5 + 5)2 + 2 = 102

⇒ (10)2 + 2 = 102

⇒ 100 + 2 = 102

⇒102 = 102 (डावी बाजू = उजवी बाजू)

पर्याय (1):

​(8, 9, 330)

⇒ (8 + 9)+ 2 = 330

⇒ 289 + 2 = 330

⇒ 291 ≠ 330 (डावी बाजू  उजवी बाजू)

पर्याय (2):

(3, 3, 11)

⇒ (3 + 3)2 + 2 = 11

⇒ (6)2 + 2 = 11

⇒ 36 + 2 = 11

⇒ 38 ≠ 11 (डावी बाजू  उजवी बाजू)

पर्याय (3):

(7, 6, 170)

⇒ (7 + 6)2 + 2 = 170

⇒ (13)2 + 2 = 170

⇒ 169 + 2 = 170

⇒ 171 ≠ 170 (डावी बाजू ≠ उजवी बाजू)

पर्याय (4):

​(8, 3, 123)

⇒ (8 + 3)2 + 2 = 123

⇒112 + 2 = 123

⇒ 121 + 2 = 123

⇒ 123 = 123 (डावी बाजू = उजवी बाजू)

म्हणून, "पर्याय (4)" हे योग्य उत्तर आहे.

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