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The least number to be substracted from ...

The least number to be substracted from 220 so that it become a perfect cube is

A

4

B

10

C

16

D

20

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The correct Answer is:
To find the least number to be subtracted from 220 so that it becomes a perfect cube, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the nearest perfect cubes**: First, we need to find the perfect cubes around the number 220. The perfect cubes are: - \( 1^3 = 1 \) - \( 2^3 = 8 \) - \( 3^3 = 27 \) - \( 4^3 = 64 \) - \( 5^3 = 125 \) - \( 6^3 = 216 \) - \( 7^3 = 343 \) 2. **Determine the nearest perfect cube less than 220**: From the list, we see that \( 6^3 = 216 \) is the nearest perfect cube less than 220. 3. **Calculate the difference**: Now, we need to subtract this perfect cube from 220 to find the least number to be subtracted: \[ 220 - 216 = 4 \] 4. **Conclusion**: Therefore, the least number that needs to be subtracted from 220 to make it a perfect cube is **4**. ### Final Answer: The least number to be subtracted from 220 so that it becomes a perfect cube is **4**. ---

To find the least number to be subtracted from 220 so that it becomes a perfect cube, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the nearest perfect cubes**: First, we need to find the perfect cubes around the number 220. The perfect cubes are: - \( 1^3 = 1 \) - \( 2^3 = 8 \) ...
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PEARSON IIT JEE FOUNDATION-SQUARES AND SQUARE ROOTS AND CUBES AND CUBE ROOTS -Level1
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