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Saturday, 31 October

Same idea in other shifts

Asked 22× in all
  1. 6 Apr 2026, Shift 2 · Q8Let the mean and the variance of seven observations 2,4,α,8,β,12,142, 4, \alpha, 8, \beta, 12, 14, α<β\alpha<\beta, be 8 and 16 respectively. Then the…MediumSingle correct
  2. 2 Apr 2025, Shift 2 · Q8If the mean and the variance of 6, 4, a, 8, b, 12, 10, 13 are 9 and 9.25 respectively, then a+b+aba+b+ab is equal to :MediumSingle correct
  3. 3 Apr 2025, Shift 2 · Q9Let the Mean and Variance of five observations x1=1,x2=3,x3=a,x4=7x_1 = 1, x_2 = 3, x_3 = a, x_4 = 7 and x5=b, a>bx_5 = b,\ a > b, be 5 and 10 respectively. Then…MediumSingle correct
  4. 4 Apr 2025, Shift 2 · Q8Let the mean and the standard deviation of the observation 2, 3, 3, 4, 5, 7, a, b be 4 and 2\sqrt{2} respectively. Then the mean…MediumSingle correct
  5. 4 Apr 2024, Shift 1 · Q20Let α,β∈R\alpha, \beta \in \mathbf{R}. Let the mean and the variance of 6 observations −3,4,7,−6,α,β-3, 4, 7, -6, \alpha, \beta be 2 and 23,…MediumSingle correct
  6. 8 Apr 2024, Shift 2 · Q30Let a,b,c∈Na, b, c \in \mathbb{N} and a<b<ca < b < c. Let the mean, the mean deviation about the mean and the variance of the 5 observations…HardNumerical value
  7. 29 Jan 2024, Shift 1 · Q30If the mean and variance of the data 65,68,58,44,48,45,60,α,β,6065, 68, 58, 44, 48, 45, 60, \alpha, \beta, 60 where α>β\alpha>\beta, are 56 and 66.2 respectively,…MediumNumerical value
  8. 31 Jan 2024, Shift 2 · Q18Let the mean and the variance of 6 observations a,b,68,44,48,60a, b, 68, 44, 48, 60 be 55 and 194, respectively. If a>ba>b, then a+3ba+3b isMediumSingle correct

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.