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:

(B) Both Statement I and Statement II are true

(A) Statement I is true but Statement II is false

(C) Statement I is false but Statement II is true

(D) Both Statement I and Statement II are false

Binomial Theorem and Its Simple Applications: JEE Main 2026 Mathematics question

JEE Main 2026 · 28 Jan, Evening shift · Q4

JEE Main 202628 Jan, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

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 :

JEE Main 2026 Binomial Theorem and Its Simple Applications Question with Solution (28 Jan Evening shift, Q4) | JEE Arc

JEE Main 2026 · 28 Jan, Evening shift · Q4

JEE Main 202628 Jan, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

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 :