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Day 235: JEE Mains Maths

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

  1. Question 1

    Binomial Theorem. Asked once: 13 Apr 2023 (same type asked 7 times) See all 7 of this type

    152
    The coefficient of x5x^{5} in the expansion of (2x3−13x2)5\left( 2x^{3}-\frac{1}{3x^{2}} \right)^{5} is

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  2. Question 2

    Permutations and Combinations. Asked once: 25 Jan 2023 (same type asked 7 times) See all 7 of this type

    178
    Suppose Anil's mother wants to give 5 whole fruits to Anil from a basket of 7 red apples, 5 white apples and 8 oranges. If in the selected 5 fruits, at least 2 oranges, at least one red apple and at least one white apple must be given, then the number of ways, Anil's mother can offer 5 fruits to Anil is

  3. Question 3

    Relations and Functions. Asked once: 9 Apr 2024 (same type asked 7 times) See all 7 of this type

    90
    Let A={2,3,6,7}\mathbf{A = \{ 2,3,6,7\}} and B={4,5,6,8}\mathbf{B = \{ 4,5,6,8\}}. Let RR be a relation defined on A×BA \times B by (a1,b1)R(a2,b2)\left( a_{1},b_{1} \right)R\left( a_{2},b_{2} \right) is and only if a1+a2=b1+b2a_{1}+a_{2}=b_{1}+b_{2}. Then the number of elements in RR is

  4. Question 4

    Three Dimensional Geometry. Asked once: 9 Apr 2024 (same type asked 7 times) See all 7 of this type

    61
    Let the line LL intersect the lines
    x−2=−y=z−1,2(x+1)=2(y−1)=z+1x - 2 = - y = z - 1,2(x + 1) = 2(y - 1) = z + 1
    and be parallel to the line x−23=y−11=z−22\frac{x- 2}{3}=\frac{y- 1}{1}=\frac{z- 2}{2}. Then which of the following points lies on LL ?

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  5. Question 5

    Limits and Continuity. Asked once: 7 Apr 2025 (same type asked 7 times) See all 7 of this type

    71
    The number of points of discontinuity of the function f(x)=[x22]−[x],x∈[0,4]f(x) = \left\lbrack \frac{x^{2}}{2} \right\rbrack - \lbrack\sqrt{x}\rbrack,x \in \lbrack 0,4\rbrack, where denotes the greatest integer function is