Given below are two statemen ... | Binomial Theorem

JEE MAIN 2026

28-01-2026 S2

Question

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 $(7+4 \sqrt{3})^{23}$ is an odd number. In the light of the above statements, choose the correct answer from the options given below :

Select the correct option:

Both Statement I and Statement II are false

Statement I is false but Statement II is true

Statement I is true but Statement II is false

Both Statement I and Statement II are true

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution