Which one of the following is the difference of the sum of cubes of first ten natural numbers and the sum of squares of first ten natural numbers?

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Q: 1 (CAPF/2022)

Which one of the following is the difference of the sum of cubes of first ten natural numbers and the sum of squares of first ten natural numbers?

question_subject: 

Maths

question_exam: 

CAPF

stats: 

0,38,16,6,38,8,2

The question asks for the difference between the sum of cubes of the first ten natural numbers and the sum of squares of the first ten natural numbers. To find this difference, we need to calculate each sum separately and then subtract the sum of squares from the sum of cubes.

The sum of cubes of the first ten natural numbers can be calculated by cubing each number from 1 to 10 and then adding them together. The sum of squares of the first ten natural numbers can be calculated by squaring each number from 1 to 10 and then adding them together.

After finding the individual sums, we subtract the sum of squares from the sum of cubes to get the difference.

In this case, option 2 (2640) is the correct answer. It is the difference between the sum of cubes of the first ten natural numbers (3025) and the sum of squares of the first ten natural numbers (3840). Therefore, the correct answer is option 2.