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Day 292: JEE Mains Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Statistics. Asked once: 2 Apr 2025 (same type asked 13 times) See all 13 of this type

    136
    If the mean and the variance of 6,4,a,8,b,12,106,4,a,8,b,12,10, 13 are 9 and 9.25 respectively, then a+b+aba+b+ab is equal to :

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  2. Question 2

    Vector Algebra. Asked once: 6 Apr 2024 (same type asked 13 times) See all 13 of this type

    90
    Let a→=2i^−3j^+4k^,b→=3i^+4j^−5k^\overrightarrow{a}= 2\widehat{i}- 3\widehat{j}+ 4\widehat{k},\overrightarrow{b}= 3\widehat{i}+ 4\widehat{j}- 5\widehat{k}, and a vector c→\overrightarrow{c} be such that a→×(b→+c→)+b→×c→=i^+8j^+13k^\overrightarrow{a}\times\left( \overrightarrow{b}+\overrightarrow{c} \right)+\overrightarrow{b}\times\overrightarrow{c}=\widehat{i}+ 8\widehat{j}+ 13\widehat{k}If a→⋅c→=13\overrightarrow{a}\cdot\overrightarrow{c}= 13, then (24−b→⋅c→)(24 -\overrightarrow{b}\cdot\overrightarrow{c}) is equal to

  3. Question 3

    Differential Equations. Asked once: 23 Jan 2025 (same type asked 13 times) See all 13 of this type

    55
    Let a curve y=f(x)y = f(x) pass through the points (0,5)(0,5) and (log⁡e2,k)\left( \log_{e}2,k \right). If the curve satisfies the differential equation 2(3+y)e2xdx−(7+e2x)dy=02(3 + y)e^{2x}dx -\left( 7 +e^{2x} \right)dy = 0, then kk is equal to

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  4. Question 4

    Statistics. Asked once: 6 Apr 2024 (same type asked 13 times) See all 13 of this type

    64
    The mean and standard deviation of 20 observations are found to be 10 and 2, respectively. On rechecking, it was found that an observation by mistake was taken 8 instead of 12. The correct standard deviation is

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  5. Question 5

    Relations and Functions. Asked once: 8 Apr 2023 (same type asked 13 times) See all 13 of this type

    170
    Let A={1,2,3,4,5,6,7}\mathbf{A = \{ 1,2,3,4,5,6,7\}}. Then the relation R=R = {(x,y)∈A×A:x+y=7}\mathbf{\{(x,y) \in A \times A:x + y = 7\}} is

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