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

(टीप: संख्यांचे घटक अंकांमध्ये विभाजन न करता संपूर्ण संख्यांवर क्रिया केल्या पाहिजेत. उदा.13 – 13 वरील क्रिया जसे की 13 ची बेरीज/वजाबाकी/गुणाकार करणे इ. 13 चे 1 आणि 3 मध्ये विभाजन करणे आणि नंतर 1 आणि 3 वर गणिती क्रिया करण्यास अनुमती नाही)

(36, 24, 65)

(40, 54, 19)

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 4)
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  1. (10, 21, 321)
  2. (20, 18, 16)
  3. (13, 8, 98)
  4. (30, 14, 56)

Answer (Detailed Solution Below)

Option 2 : (20, 18, 16)
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Detailed Solution

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दिलेले आहे:

(36, 24, 65)

(40, 54, 19)

तर्क: तिसरी संख्या = [(पहिली संख्या ÷ 4)2 - (दुसरी संख्या ÷ 6)2]

(36, 24, 65) →

⇒ [(36 ÷ 4)2 - (24 ÷ 6)2]

⇒ [(9)2 - (4)2]

⇒ (81 - 16) = 65

(40, 54, 19) →

⇒ [(40 ÷ 4)2 - (54 ÷ 6)2]

⇒ [(10)2 - (9)2]

⇒ (100 - 81) = 19

दिलेले सर्व पर्याय तपासल्यावर:

1. (10, 21, 321)

⇒ [(10 ÷ 4)2 - (21 ÷ 6)2]

⇒ [(2.5)2 - (3.5)2]

⇒ (6.25 - 12.25) = (-6)

2. (20, 18, 16)

⇒ [(20 ÷ 4)2 - (18 ÷ 6)2]

⇒ [(5)2 - (3)2]

⇒ (25 - 9) = 16

3. (13, 8, 98)

⇒ [(13 ÷ 4)2 - (8 ÷ 6)2]

⇒ [(3.25)2 - (1.33)2]

⇒ (10.56 - 1.77) = 8.78

4. (30, 14, 56)

⇒ [(30 ÷ 4)2 - (14 ÷ 6)2]

⇒ [(7.5)2 - (2.33)2]

⇒ (56.25 - 5.44) = 50.81

येथे, (20, 18, 16) हा संच दिलेल्या संख्यांच्या संचाशी समान संबंध दर्शवतो.

म्हणून, "पर्याय (2)" हे योग्य उत्तर आहे.

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