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If 1³ + 2³ + .... + 9³ = 2025, then the value of (0.11)³ + (0.22)³ + .... + (0.99)³ is close to
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- 0.2695
- 2.695
- 3.695
- 0.3695
- 0.2695
Correct Option: B
Given , 1³ + 2³ + ..... + 9³ = 2025 ....( 1 )
Now, (0.11)³ + (0.22)³ + .... + (0.99)³ = | ³ | + | ³ | +........+ | ³ | |||||||||
100 | 100 | 100 |
Required answer = | ³ | (1³ + 2³ +......+ 9³) | |||
100 |
Required answer = | × 2025 { Using ( 1 ) } | |
1000000 |
Required answer = | = 2.695275 ≈ 2.695 | |
1000000 |