If 1³ + 2³ + 3³ + .... + 10³ = 3025,

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If 1³ + 2³ + 3³ + .... + 10³ = 3025, then find the value of 2³ + 4³ + 6³ + .... + 20³

1. 6050
2. 9075
3. 12100
4. 24200

Correct Option: D

Given in question ,
∵ 1³ + 2³ + 3³ + .... + 10³ = 3025 .....( 1 )
∴ 2³ + 4³ + 6³ + .... + 20³ = (2 × 1)³ + (2 × 2)³ + (2 × 3)³ + ..... + (2 × 10)³
Required answer = 8 × 1³ + 8 × 2³ + 8 × 3³ .... + 8 × 10³
Required answer = 8 × [1³ + 2³ + 3³ + 4³ + ... + 10³]
Required answer = 8 × 3025 = 24200 { ∴
From ( 1 ) }