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Day 90: JEE Mains Maths

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

  1. Question 1

    Permutations and Combinations. Asked 2 times: 1 Feb 2023*, 8 Apr 2023 (* = numbers or wording changed that year) See all 2 times it was asked

    69
    The number of arrangements of the letter of the word "INDEPENDENCE" in which all the vowels always occur together is

    Tap an option to check your answer.

  2. Question 2

    Binomial Theorem. Asked 2 times: 29 Jul 2022*, 6 Apr 2023 (* = numbers or wording changed that year) See all 2 times it was asked

    64
    If the ratio of the fifth term from the begining to the fifth term from the end in the expansion of (24+134)n\left( \sqrt[4]{2}+\frac{1}{\sqrt[4]{3}} \right)^{n} is 6:1\sqrt{6}:1, then the third term from the beginning is:

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  3. Question 3

    Permutations and Combinations. Asked 2 times: 29 Jan 2023*, 1 Feb 2023 (* = numbers or wording changed that year) See all 2 times it was asked

    84
    The number of 3-digit numbers, that are divisible by either 2 or 3 but not divisible by 7, is

  4. Question 4

    Sequences and Series. Asked 2 times: 2021 Paper 26*, 1 Feb 2023 (* = numbers or wording changed that year) See all 2 times it was asked

    152
    The sum ∑n=1∞2n2+3n+4(2n)!\sum_{n = 1}^{\infty} \frac{2n^{2}+ 3n + 4}{(2n)!} is equal to:

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  5. Question 5

    Permutations and Combinations. Asked 2 times: 29 Jan 2023*, 31 Jan 2023 (* = numbers or wording changed that year) See all 2 times it was asked

    86
    Let 5-digit numbers be constructed using the digits 0,2,3,4,7,90,2,3,4,7,9 with repetition allowed, and are arranged in ascending order with serial numbers. Then the serial number of the number 42923 is