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If (27)^999 is divided by 7, then the r...

If `(27)^999` is divided by 7, then the remainder is .

A

1

B

2

C

3

D

6

Text Solution

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The correct Answer is:
D
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DISHA PUBLICATION-BINOMIAL THEOREM -EXERCISE-2 (CONCEPT APPLICATOR)
  1. If (27)^999 is divided by 7, then the remainder is .

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  2. If a(n) = ( log(e ) 3)^(n) sum(k!(n-k)!)^(k^(2)) then a(1) + a(2) +a(...

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  3. The greatest term in the expansion of (3+2x)^(51), where x=(1)/(5), is

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  4. The expansion of 1/(4 - 3x)^(1/2) by binomial theowill be valid, if

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  5. The value of {3^2003/28}is

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  6. In the binomial expansion (a+bx)^(-3) = ( 1)/( 8 ) + (9)/( 8)x +"…….."...

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  7. What is the last digit of 3^(3^(4n)) +1, where n is a natural number?

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  8. Find the coefficient of x^5 in (1+2x+3x^2...........)^(-3/2)

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  9. If f(x)=(x-1)(x-2)(x-3).......(x-50) find coeff. of x^50 and x^49

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  10. If n is a positive integer, then (sqrt3 +i)^n+(sqrt3 -i)^n is

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  11. Prove that (C0+C1)(C1+C2)(C2+C3)(C(n-1)+Cn)=(n+1)^n/(n!).c0.C1.C2........

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  12. If (1 + ax)^n= 1 +8x+ 24x^2 +..... then the value of a and n is

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  13. The sum of the series (2)/(1!) + (4)/(3!) + (6)/(5!) + ……. "to" oo ...

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  14. If coefficient of a^2b^3c^4in(a+b+c)^m(w h e r em in N)i sL(L!=0) , t...

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  15. The number of dissimilar terms in the expansion of (a+b)^(n) is n+1, ...

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  16. The sum of rational term in (sqrt(2)+3 3+5 6)^(10) is equal to 12632 b...

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  17. If the 7th tern in the binomial expansion of (3/((84)^(1/3)) +sqrt(3) ...

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  18. If (+x)^n=sum(r=0)^n ar x^r&br=1+(ar)/(a(r-1))&prod(r=1)^n br=((101)^...

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  19. The coefficients of x^(13) in the expansion of (1 - x)^(5) (1 + x...

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  20. If x is so small that x^3 and higher powers of x may be neglectd, then...

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  21. If (r+1)^(th) term is (3.5...(2r-1))/(r!) (1/5)^(r), then this is th...

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