Given below are two statements : Statement I : 25^{13}+20^{13}+8^{13}+3^{13} is divisible by 7. Statement II : The integral part of (7+4 \sqrt{3})^{25} is an odd number. In the light of the above statements, choose the correct answer from the options given below : [28 Jan 2026 Shift 2]

Correct Answer is : Both Statement I and Statement II are true

Statement I is false but Statement II is true

Both Statement I and Statement II are false

Both Statement I and Statement II are true

Statement I is true but Statement II is false

Binomial Theorem Part 3

Section: Mathematics

Question : 1 of 45

Marks: +1, -0

Given below are two statements :
Statement I :
2513+2013+813+313 is divisible by 7.
Statement II :
The integral part of (7+4√3)25 is an odd number.
In the light of the above statements, choose the correct answer from the options given below :

[28 Jan 2026 Shift 2]

Statement I is false but Statement II is true
Both Statement I and Statement II are false
Both Statement I and Statement II are true
Statement I is true but Statement II is false

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