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If 13 + 23 + ... + 103 = 3025, then the value of 23 + 43 + ... + 203 is:
1. 7590
2. 5060
3. 24200
4. 12100

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Correct Answer - Option 3 : 24200

Given:

13 + 23 + ... + 103 = 3025

Calculation:

⇒ 23 + 43 + ... + 20= 23(13 + 23 + ... + 103 )

⇒ 23(13 + 23 + ... + 103 ) = 8 × 3025

⇒ 23 + 43 + ... + 203 = 24200

∴ The required answer is 24200

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