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Sum of all the numbers between 1 and 1000 which are divisible by 3 is

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The sum of all odd numbers between 1 and 1000 which are divisible by 3 is

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RESONANCE DPP-JEE MAINS-All Questions
  1. Let vectors vec a , vec b , vec c ,a n d vec d be such that ( vec ax...

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  2. A normal is drawn at point P(a ,a^n) on the curve =x^n in the first qu...

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  3. Sum of all the numbers between 1 and 1000 which are divisible by 3 i...

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  4. int(cos^3x)/(sqrt(sin^7x))dx= 2/5dotcos e c^(7/2)x+2sqrt(cose c x)+c...

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  5. Given an A.P. whose terms are all positive integers. The sum of its fi...

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  6. If a, b, c are in A.P. and b-a, c-b, a are in G.P. then a:b:c=?

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  7. Evaluate: int(x+1)/(x(1+xe^x)^2)dx

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  8. Let the sequence a1,a2,a3, ,an from an A.P. Then the value of a1 2-a2 ...

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  9. If int0^a(dx)/(sqrt(x+a)+sqrt(x))=int0^(pi/8)(2tantheta)/(sin2theta)dt...

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  10. The sum of the first three terms of an A.P. is 9 and the sum of their ...

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  11. int("sin"2"x")/(s in5x s in3x)dx 1/3ln|sin3x|+1/5ln|sin5x|+c b. 1/3l...

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  12. A postman delivered daily for 42 days 4 more latters each day than on ...

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  13. If int0^1tan^(-1)xdx=alpha,t h e nint0^(pi/4)tan^(-1)((2cos^2theta)/(...

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  14. If in a triangle A B C , right angle at B ,s-a=3a n ds-c=2, then a=2,c...

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  15. The number of distinct real roots of |(sinx,cosx,cosx),(cosx,sinx,cosx...

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  16. In a triangle A B C , right angled at B , the inradius is (A B+B C-A C...

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  17. Let vec V=2 hat i+ hat j- hat ka n d vec W= hat i+3 hat kdot If vec ...

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  18. If in a A B C ,(cos A)/a=(cos B)/b=(cos C)/c , then the triangle is: ...

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  19. Vectors aa n db make an angle theta=(2pi)/3dot If | vec a|=1,| vec b|=...

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  20. Evaluate the following inte^x(1-cot x+cot^2x)dx

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