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Q.

How many perfect cube numbers are present between 1 and 1001.


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a

9 perfect cubes

b

12 perfect cubes

c

15 perfect cubes

d

18 perfect cubes 

answer is A.

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Detailed Solution

Concept- We locate the closest cube number to 1 and the closest cube number to 1001 from which we may get the total number of perfect cube numbers between 1 and 1001.
The two numbers we are given are 1 and 1001.
The number of perfect cube numbers that exist between them must be determined. We are aware that 1 is the ideal cube number.
Question ImageThen the nearest cube number of 1001 is 1000 as
Question ImageHence, we can see that the cube numbers between 1 and 1001
Question ImageThis demonstrates that there are nine perfect cube numbers between 1 and 1001.
Hence, the correct answer is option 1.
 
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