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Day 162: JEE Mains Maths

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

  1. Question 1

    Permutations and Combinations. Asked once: 23 Jan 2025 (same type asked 4 times) See all 4 of this type

    146
    The number of ways, 5 boys and 4 girls can sit in a row so that either all the boys sit together or no two boys sit together, is

  2. Question 2

    Relations and Functions. Asked once: 23 Jan 2026 S2 (same type asked 4 times) See all 4 of this type

    55
    Consider two sets A={x∈Z:∣∣x−3∣−3∣≤1}A=\{x\in Z:||x-3|-3|\le 1\} and B={x∈R−{1,2}:(x−2)(x−4)x−1log⁡e(∣x−2∣)=0}B=\left\{x\in R-\{1,2\}:\frac{(x-2)(x-4)}{x-1}\log_{e}(|x-2|)=0\right\}. Then the number of onto functions f:A→Bf:A\rightarrow B is equal to:

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  3. Question 3

    Statistics. Asked once: 9 Apr 2024 (same type asked 4 times) See all 4 of this type

    76
    The frequency distribution of the age of students in a class of 40 students is given below.
    Age151617181920
    No. of Students58512xxyy
    If the mean deviation about the median is 1.25, then 4x+5y4x+ 5y is equal to:

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  4. Question 4

    Complex Numbers. Asked once: 23 Jan 2026 S1 (same type asked 4 times) See all 4 of this type

    67
    Let S={z:3≤∣2z−3(1+i)∣≤7}\mathbf{S = \{ z:3 \leq |2z - 3(1 + i)| \leq 7\}} be a set of complex numbers. Then Minz∈s∣(z+12(5+3i))∣\underset{z \in s}{Min}\left| \left( z +\frac{1}{2}(5 + 3i) \right) \right| is equal to :

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  5. Question 5

    Relations and Functions. Asked once: 24 Jan 2026 S1 (same type asked 4 times) See all 4 of this type

    56
    If the domain of the function f(x)=log⁡(10x2−17x+7)(18x2−11x+1)f(x) =\log_{\left( 10x^{2}- 17x + 7 \right)}\left( 18x^{2}- 11x + 1 \right) is (−∞,a)∪(b,c)∪(d,∞)−{e}\mathbf{( - \infty,a) \cup (b,c) \cup (d,\infty) - \{ e\}}, then 90(a+b+c+d+e)90(a + b + c + d + e) equals:

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