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Friday, 9 October

JEE Main 2020 · MathsMultiple choiceSingle correctEasyApplication

JEE Main 8 January 2020, Shift 1, Maths Q55

Question 55 of 75 in this shift, Maths question 5 of 25, Section A.

If a, b and c are the greatest values of 19Cp^{19}C_p, 20Cq^{20}C_q and 21Cr^{21}C_r respectively, then :
  1. (1)a11=b22=c21\frac{a}{11}=\frac{b}{22}=\frac{c}{21}
  2. (2)a10=b11=c42\frac{a}{10}=\frac{b}{11}=\frac{c}{42}
  3. (3)a10=b11=c21\frac{a}{10}=\frac{b}{11}=\frac{c}{21}
  4. (4)a11=b22=c42\frac{a}{11}=\frac{b}{22}=\frac{c}{42}Official answer

Official answer

Option 4

NTA final key (Jan 2020).

Chapter
Binomial Theorem
Topic
Binomial Coefficients
Idea tested
Maximum Binomial Coefficient

Same idea in other shifts

Asked 3× in all
  1. 6 Apr 2026, Shift 1 · Q8If the coefficients of the middle terms in the binomial expansions of (1+αx)26(1+\alpha x)^{26} and (1−αx)28(1-\alpha x)^{28}, α≠0\alpha\neq 0, are…EasySingle correct
  2. 25 Jul 2022, Shift 1 · Q23If the maximum value of the term independent of tt in the expansion of…HardNumerical value

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.