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The number of three-digit number n such ...

The number of three-digit number n such that greatest common divisor `(n,36)=2` are

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2022-Question
  1. Let a1 , a2, a3 . . . are in GP such that a2+a4=2a3+1 , a2+a3=2a4 then...

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  2. If slope of common tangent of circle x^2+y^2=12 and ellipse x^2/9+y^2/...

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  3. The number of three-digit number n such that greatest common divisor (...

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  4. If the probability that 6 digit number formed using 8 and 1 which is d...

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  5. int-2^2 abs(x^3+x)/(1+e^(xabsx))dx

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  6. The value of cos ((2pi)/7)cos ((4pi)/7)cos ((6pi)/7)

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  7. Find the number of real roots of the equation x^4-4x+1=0

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  8. In a binomial distribution , n=7 and P(X=3)=5P(X=4) then find the sum ...

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  9. 1/5+2/65+3/325+4/1025+ . . . is of the form m/n where m & n are copri...

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  10. f(x)=(2e^(2x))/(e^(2x)+e) then f(1/100)+f(2/100)+. . .+f(99/100)=?

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  11. The lengths of sides of a triangle are 10+x^2 , 10+x^2 and 20-2x^2 . I...

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  12. Find the value of sin^-1(sin ((2pi)/3))+cos^-1(cos((7pi)/6))+tan^-1(ta...

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  13. The area of the polygon , whose vertices are non-real roots of the equ...

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  14. X=sum(n=0)^oo a^n ,Y=sum(n=0)^oo b^n and Z=sum(n=0)^oo c^n where a,b,c...

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  15. If x1 , x2 , x3 , x4 , x5 are numbers from 1 to 18 such that x1 lt x2 ...

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  16. If lim(x to 7) (18-[1-x])/[[x-3a]] exists, where [.] represents greate...

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  17. If a differential equation , dy/dx+(2^(x-y)(2^y-1))/(2^x-1)=0 & y(1)=1...

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  18. If an ellipse x^2/a^2+y^2/b^2=1 passes through (-4sqrt(3/5),3) & its e...

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  19. A(6,1) is the vertex of triangle ABC , BC : 2x+y-4=0 & C moves on x+3y...

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  20. int ((x^2+1)e^x)/(x+1)^2=f(x)e^x. Find (d^3f)/(dx^3) at x=1

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