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If 12 + 22 + 32 + ....... + 102 = 385 then 22 + 42 + 62 + ...... + 202 is

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If 12 + 22 + 32 + ....... + 102 = 385 then 22 + 42 + 62 + ...... + 202 is
1. 770
2. 1150
3. 1540
4. 385 × 385
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Correct Answer - Option 3 : 1540

Given :

1² + 2² + 3²-------10² = 385

Calculations:

Let, 2² + 4² + 6²------------- 20² = x

x = 2² + 4² + 6²--------------20²

⇒ 4(1²+2²+3²-----------10²)

⇒ 4(385)

⇒ 1540

∴ The correct choice will be option 3.

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