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Friday, 9 October

JEE Main Maths · Binomial Theorem

Sum of Even and Odd Coefficients

Sum of Even and Odd Coefficients (Binomial Theorem) was asked 2 times in 2 JEE Main shifts, 2021–2025, out of the 42 shifts Lumi analysed. 1 of the 2 had a numerical answer.

Times asked
2
in 2 shifts
Years
2021–2025
Usual format
Numerical value
Calculation
Pattern
Occasional
repeats across shifts

How it is asked

  • Odd-coefficient sum in trinomial expansion
  • Sum of odd-indexed coefficients of expansion

Difficulty

Easy 0Medium 0Hard 2

Where it sits

Chapter: Binomial Theorem. Topic: Binomial Coefficients, 26 questions over 18 ideas.

Other repeat ideas in this topic

Every time it came

All 2 questions

Newest first, each with its options and official answer.

  1. 3 Apr 2025, Shift 2 · Q21Let (1+x+x2)10=a0+a1x+a2x2+…+a20x20(1 + x + x^2)^{10} = a_0 + a_1 x + a_2 x^2 + \ldots + a_{20} x^{20}. If (a1+a3+a5+…+a19)−11a2=121k(a_1 + a_3 + a_5 + \ldots + a_{19}) - 11a_2 = 121k, then…HardNumerical value
  2. 18 Mar 2021, Shift 1 · Q66Let (1+x+2x2)20=a0+a1x+a2x2+…+a40x40(1+x+2x^2)^{20} = a_0 + a_1x + a_2x^2 + \ldots + a_{40}x^{40}. Then, a1+a3+a5+…+a37a_1 + a_3 + a_5 + \ldots + a_{37} is equal to :HardSingle correct