PYQ Vault

Day 398: JEE Mains Maths

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

  1. Question 1

    Differential Equations. Asked once: 27 Jan 2024 (same type asked 13 times) See all 13 of this type

    167
    If y=y(x)y = y(x) is the solution curve of the differential equation (x2−4)dy−(y2−3y)dx=0\left( x^{2}- 4 \right)dy -\left( y^{2}- 3y \right)dx = 0, x>2,y(4)=32x > 2,y(4) =\frac{3}{2} and the slope of the curve is never zero, then the value of y(10)y(10) equals:

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  2. Question 2

    Statistics. Asked once: 25 Jan 2023 (same type asked 13 times) See all 13 of this type

    66
    The mean and variance of the marks obtained by the students in a test are 10 and 4 respectively. Later, the marks of one of the students is increased from 8 to 12 . If the new mean of the marks is 10.2, then their new variance is equal to:

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  3. Question 3

    Relations and Functions. Asked once: 28 Jul 2022 (same type asked 13 times) See all 13 of this type

    68
    For α∈N\alpha \in N, consider a relation RR on NN given by R={(x,y):3x+αy is a multiple of 7}R = \{(x,y):3x + \alpha y\text{ is a multiple of }7\}. The relation RR is an equivalence relation if and only if:

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  4. Question 4

    Probability. Asked once: 8 Apr 2023 (same type asked 12 times) See all 12 of this type

    68
    In a bolt factory, machines A,BA,B and CC manufacture respectively 20%,30%20\%,30\% and 50%50\% of the total bolts. Of their output 3, 4 and 2 percent are respectively defective bolts. A bolt is drawn at random from the product. If the bolt drawn is found the defective, then the probability that it is manufactured by the machine CC is

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  5. Question 5

    Permutations and Combinations. Asked once: 26 Jul 2022 (same type asked 12 times) See all 12 of this type

    173
    Numbers are to be formed between 1000 and 3000, which are divisible by 4 , using the digits 1,2,3,4,51,2,3,4,5 and 6 without repetition of digits. Then the total number of such numbers is