JEE MAIN · MATHEMATICS · BINOMIAL THEOREM

JEE Main Binomial Theorem Questions & Solutions

16 solved questions on Binomial Theorem, ranging from easy to JEE-Advanced-flavour hard. Click any to see the full solution.

12Easy
4Medium
0Hard

All 16 questions

  1. Easy TRUE_FALSE +2 / -1

    The sum of coefficients in any binomial expansion equals 2ⁿ.

    View solution →
  2. Medium INTEGER +4 / -1

    The coefficient of x⁸ in (1 - x² + x⁴)^5 is $x$.

    View solution →
  3. Easy MCQ +4 / -1

    (1.01)⁵ approximated using binomial theorem is approximately:

    View solution →
  4. Medium MCQ +4 / -1

    The last digit of 7¹⁰⁰ is:

    View solution →
  5. Easy TRUE_FALSE +2 / -1

    In the expansion of (x + y)^n, coefficients are symmetric: C(n, r) = C(n, n-r).

    View solution →
  6. Easy INTEGER +4 / -1

    The number of terms in (x + y + z)² is $x$.

    View solution →
  7. Easy MCQ +4 / -1

    If the expansion of (a + b)ⁿ has 13 terms, then n =

    View solution →
  8. Easy MCQ +4 / -1

    The middle term in the expansion of (x + 1/x)^(2n) is:

    View solution →
  9. Medium TRUE_FALSE +2 / -1

    The coefficient of the middle term in (1 + x)^(2n) is twice the coefficient of the preceding term.

    View solution →
  10. Easy INTEGER +4 / -1

    The value of C(8, 2) is $x$.

    View solution →
  11. Medium MCQ +4 / -1

    The term independent of x in (x² + 1/x)⁶ is:

    View solution →
  12. Easy MCQ +4 / -1

    In (2x + 3)⁹, the coefficient of x⁶ is:

    View solution →
  13. Easy TRUE_FALSE +2 / -1

    (x + y)ⁿ = Σ C(n, r) x^(n-r) y^r.

    View solution →
  14. Easy INTEGER +4 / -1

    The sum of all binomial coefficients in (a + b)ⁿ is $x$.

    View solution →
  15. Easy MCQ +4 / -1

    (2x - 3y)⁴ = ... The coefficient of x³y is:

    View solution →
  16. Easy MCQ +4 / -1

    The coefficient of x⁵ in (1 + x)¹⁰ is:

    View solution →

Drill 25 more like these. Every day. Free.

PrepWiser turns these solved questions into a daily practice loop. Chapter-wise drills, full mocks, AI doubt chat. No auto-renew.

Start free →