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Day 136: JEE Mains Maths

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

  1. Question 1

    Sequences and Series. Asked once: 24 Jan 2025 (same type asked 8 times) See all 8 of this type

    54
    Let Sn=12+16+112+120+…S_{n}=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+ \ldots upto n terms. If the sum of the first six terms of an A.P. with first term -p and common difference p is 2026 S2025\sqrt{2026{\text{ }S}_{2025}}, then the absolute difference between 20th 20^{\text{th~}} and 15th 15^{\text{th~}} terms of the A.P. is

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  2. Question 2

    Application of Integrals. Asked once: 9 Apr 2024 (same type asked 8 times) See all 8 of this type

    62
    The parabola y2=4xy^{2}= 4x divides the area of the circle x2+y2=5x^{2}+y^{2}= 5 in two parts. The area of the smaller part is equal to :

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  3. Question 3

    Binomial Theorem. Asked once: 9 Apr 2024 (same type asked 7 times) See all 7 of this type

    162
    The sum of the coefficient of x2/3x^{2/3} and x−2/5x^{- 2/5} in the binomial expansion of (x2/3+12x−2/5)9\left( x^{2/3}+\frac{1}{2}x^{- 2/5} \right)^{9} is :

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  4. Question 4

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

    57
    From a group of 7 batsmen and 6 bowlers, 10 players are to be chosen for a team, which should include atleast 4 batsmen and atleast 4 bowlers. One batsmen and one bowler who are captain and vice-captain respectively of the team should be included. Then the total number of ways such a selection can be made, is.

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  5. Question 5

    Relations and Functions. Asked once: 2 Apr 2026 S2 (same type asked 7 times) See all 7 of this type

    71
    Let A={2,3,4,5,6}A = \{ 2,3,4,5,6\}. Let R be a relation on the set A×AA \times A given by (x,y)R(z,w)(x,y)R(z,w) if and only if x divides z and y≤wy \leq w. Then the number of elements in RR is ____\_\_\_\_ .