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3^(51) when divided by 8 leaves the rema...

`3^(51)` when divided by 8 leaves the remainder 2 2. 6 3. 3 4. 5 5. 1

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2^60 when divided by 7 leaves the remainder

Using principle of mathematical induction, prove that 5^(n+1)+4.6^(n) when divided by 20 leaves the remainder 9, for all n in N

the polynomial p(x)=x^(4)-2x^(3)+3x^(2)-ax+3a -7 when divided by x+1 leaves the remainder 19. find the values of A , also find the remainder when p(x) is divided by x+2.

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The polynomials P(x)=kx^(3)+3x^2-3and Q(x)=2x^(3)-5x+k, when divided by (x-4) leave the same remainder. The value of k is

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. In a bag there are 4 Red, 3 Black, 2 Green Balls are drawn one by o...

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  2. Which of the following is not equivalent to (p^^~ q)->r (a) ~(q v ~ ...

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  3. 3^(51) when divided by 8 leaves the remainder 2 2. 6 3. 3 4. 5 5. 1

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  4. If a and b are two numbers belonging to the set {1,2,….100}, then the ...

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  5. The A.M of two given positive numbers is 2.If the larger number is in...

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  7. Solve the equation log4 (2x^2 + x + 1) - log2 (2x - 1) = 1.

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  9. If (x1, y1) be the centroid of the triangle formed by a line L and coo...

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  10. If Aa n dB are symmetric and commute, then which of the following is/a...

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  11. A man with pure blue eyes and pure black hair marries a woman with bla...

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  12. An integer is chosen at random from the first two hundred positive in...

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  13. The value of ("lim")(xvec2)(sqrt(1+sqrt(2+x))-sqrt(3))/(x-2)i s (a) 1...

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  14. The number of ways in which 6 red roses and 3 white roses (all roses d...

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  15. A set contains (2n+1) elements. If the number of subsets of this set w...

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  16. If g(x)=(lim)(mvecoo)(x^mf(x)+h(x)+3)/(2x^m+4x+1) when x!=1a n dg(1)=e...

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  19. Number of points where the function f(x)=1/(|x|-1)+tanx, x in (-3,3) i...

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  20. Let vec a= hat j- hat k and vec c= hat i- hat j- hat k . Then vector...

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