MCQMediumJEE Main 2026 · 28 January, Shift 2Complex Numbers Basics

Mathematics Question from JEE Main 2026 · 28 January, Shift 2

Given below are two statements:

Statement I: 2513+2013+813+31325^{13}+20^{13}+8^{13}+3^{13} is divisible by 77

Statement II: The integral part of (7+43)25\left(7+4\sqrt3\right)^{25} is an odd number.

In the light of the above statements, choose the correct answer:

  • A

    Statement I is false but Statement II is true

  • B

    Statement I is true but Statement II is false

  • C

    Both Statement I and Statement II are false

  • D

    Both Statement I and Statement II are true

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