यदि x > y = x+ y3 है और x @ y = x3 - yहै, तब 3 > (2 @ 1) का मान क्या है?

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UP Police Constable Re-Exam 2024 Official Paper (Held On: 30 Aug 2024 Shift 1)
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  1. 370
  2. 400
  3. 420
  4. 280G

Answer (Detailed Solution Below)

Option 1 : 370
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दिया गया है:

यदि x > y = x+ y3 है और x @ y = x3 - yहै, तब 3 > (2 @ 1) = ?

प्रयुक्त सूत्र:

x > y = x3 + y3

x @ y = x3 - y3

गणना:

2 @ 1 = 23 - 13

⇒ 2 @ 1 = 8 - 1

⇒ 2 @ 1 = 7

3 > 7 = 33 + 73

⇒ 3 > 7 = 27 + 343

⇒ 3 > 7 = 370

इसलिए, सही उत्तर 370 है।

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