Consider the following statements : 1. n 3 - n is divisible by 6. 2. n 5 - n is divisible by 5. 3. n 5 - 5n 3 + 4n is divisible by 120. Which of the statements given above are correct ?

UPSC CDS 1 2023 Math Paper

Question : 37 of 100

Marks: +1, -0

Consider the following statements :
1. n³ - n is divisible by 6.
2. n⁵- n is divisible by 5.
3. n⁵ - 5n³ + 4n is divisible by 120.
Which of the statements given above are correct ?

1 and 2 only
2 and 3 only
1 and 3 only
1, 2 and 3

Validate

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