JEE Main 2026 — Binomial Theorem Question with Solution
JEE Main 2026 (28 January Shift 2)
Question
Given below are two statements :
Statement I: is divisible by 7.
Statement II: The integral part of is an odd number.
In the light of the above statements, choose the correct answer from the options given below :
Statement I: is divisible by 7.
Statement II: The integral part of is an odd number.
In the light of the above statements, choose the correct answer from the options given below :
Choose an option
Show full solutionCorrect option: B
Correct answer
BBoth Statement I and Statement II are true
Step-by-step explanation
Statement I:
→ divisible by
→ divisible by
divisible by . TRUE
Statement II:
For , let and (conjugate).
Then and .
Since , we have is an integer.
The fractional part of is , making the integral part odd. TRUE.
Both Statement I and Statement II are true.
→ divisible by
→ divisible by
divisible by . TRUE
Statement II:
For , let and (conjugate).
Then and .
Since , we have is an integer.
The fractional part of is , making the integral part odd. TRUE.
Both Statement I and Statement II are true.
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This is a previous-year question from JEE Main 2026, covering the Binomial Theorem chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.