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Saturday, 31 October

JEE Main 2023 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 13 April 2023, Shift 2, Maths Q25

Question 25 of 90 in this shift, Maths question 25 of 30, Section B.

Let f(x)=∑k=110k xkf(x)=\sum_{k=1}^{10}k\,x^k, x∈Rx\in\mathbb{R}. If 2f(2)+f′(2)=119(2)n+12f(2)+f'(2)=119(2)^n+1 then nn is equal to ______

Official answer

10

NTA final key.

  1. 3 Apr 2025, Shift 2 · Q8If the probability that the random variable XX takes the value xx is given by P(X=x)=k(x+1)3−x, x=0,1,2,3…P(X = x) = k(x + 1)3^{-x},\ x = 0, 1, 2, 3\ldots, where…MediumSingle correct
  2. 6 Apr 2024, Shift 1 · Q24Let the first term of a series be T1=6T_1=6 and its rthr^{\text{th}} term Tr=3Tr−1+6rT_r=3T_{r-1}+6^r, r=2,3,……,nr=2,3,\ldots\ldots, n. If the sum of the…HardNumerical value
  3. 27 Jan 2024, Shift 1 · Q24If 8=3+14(3+p)+142(3+2p)+143(3+3p)+⋯⋯∞8=3+\dfrac{1}{4}(3+p)+\dfrac{1}{4^2}(3+2p)+\dfrac{1}{4^3}(3+3p)+\cdots\cdots\infty, then the value of p is ________.MediumNumerical value
  4. 6 Apr 2023, Shift 2 · Q23If (20)19+2(21)(20)18+3(21)2(20)17+…+20(21)19=k(20)19(20)^{19}+2(21)(20)^{18}+3(21)^2(20)^{17}+\ldots+20(21)^{19}=k(20)^{19}, then kk is equal to ___________.HardNumerical value
  5. 8 Apr 2023, Shift 2 · Q17If the probability that the random variable XX takes values xx is given by P(X=x)=k(x+1)3−xP(X = x) = k(x + 1)3^{-x}, x=0,1,2,3,…x = 0, 1, 2, 3, \ldots, where…MediumSingle correct
  6. 10 Apr 2023, Shift 2 · Q24Suppose a1,a2,2,a3,a4a_1, a_2, 2, a_3, a_4 be in an arithmetico-geometric progression. If the common ratio of the corresponding geometric progression…MediumNumerical 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 108 of the 174 JEE Main shifts held from 2017 to 2026.