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The remainder, if 1+2+2^2++2^(1999) is d...

The remainder, if `1+2+2^2++2^(1999)` is divided by 5 is.

A

0

B

1

C

2

D

5

Text Solution

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The correct Answer is:
A
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VMC MODULES ENGLISH-BINOMIAL THEOREM-LEVEL 1
  1. If n is an even natural number , find the value of sum(r=0)^(n) ((...

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  2. sum(r=0)^n(-2)^r*(nCr)/((r+2)Cr) is equal to

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  3. If (1+2x+3x^2)^(10)=a0+a1x+a2x^2++a(20)x^(20),t h e na1 equals 10 b. 2...

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  4. The remainder, if 1+2+2^2++2^(1999) is divided by 5 is.

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  5. The value of ((""^(50)C(0))/(1)+(""^(50)C(2))/(3)+(""^(50)C(4))/(5)+…....

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  6. In the expansion of (1+x+x^3+x^4)^10, the coefficient of x^4 is ^40C4 ...

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  7. Let S1=sum(j=1)^(10)j(j-1)^(10)Cj ,""S2=sum(j=1)^(10)j""^(10)Ci "andS"...

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  8. Find underset(r=0) overset(10)sumr^ (10)C(r).3^(r).(-2)^(10-r)

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  9. Prove that ^100 C0^(100)C2+^(100)C2^(100)C4+^(100)C4^(100)C6++^(100)C(...

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  10. Find the coefficients of x^(50) in the expression (1+x)^(1000)+2x(1+x)...

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  11. The digit at the unit place in the number 19^(2005)+11^(2005)-9^(2005)...

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  12. If (1!)^(2) + (2!)^(2) + (3!)^(2) + "…….." + (99!)^(2) is divided by 1...

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  13. In the expansion of (1+3x+2x^2)^6 , the coefficient of x^(11) is a. 14...

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  14. The value of underset(r=0)overset(40)sumr.^(40)C(r).^(30)C(r) is

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  15. The value of ( .^7C0 + ^7C1)+( .^7C1+ ^7C2)+....+(.^7C6+ ^7C7) is (A...

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  16. The fractional part of 2^(4n)/15 is (n in N) (a) 1/15 (b) 2/15 (c...

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  17. If (1+x)^(n) = C(0) + C(1) xm + C(2)x^(2) + "……" + C(n)x^(n), then ...

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  18. Statement 1: Remainder w h e n3456^2222 is divided by 7 is 4. Statemen...

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  19. If R is remainder when 6^(83)+8^(83) is divided by 49, then the value ...

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  20. The remainder when 2^(2003) is divided by 17 is:

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