If 1³ + 2³ + ..... + 10³ = 3025, then 4 +

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If 1³ + 2³ + ..... + 10³ = 3025, then 4 + 32 + 108 + ..... + 4000 is equal to :

1. 12000
2. 12100
3. 12200
4. 12400

Correct Option: B

Here, 1³ + 2³ + .... + 10³ = 3025 ...( 1 )
Now, 4 + 32 + 108 + .... + 4000 = 4 (1 + 8 + 27 + .... + 4000)
Required answer = 4 (13 + 23 + 33 + .... + 103)
Using equation ( 1 ) , we get
∴ Required answer = 4 × 3025 = 12100