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PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
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- The remainder when 9^(103) is divided by 25 is equal to
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- If (3+x^(2008)+x^(2009))^(2010)=a0+a1x^2+....+anx^n, a0-1/2 a1-1/2 a2+...
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- The coefficient of x^ny^n in the expansion of {(1+x)(1+y)(x+y)}^n is
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- The remainder when x=5^(5^(5^(......))) (23 times 5) is divided by 24 ...
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- For integer n gt 1, the digit at units place in the number sum(r=0)^(1...
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- In the expansion of (1+x+x^2+x^3)^6, the coefficient of x^(14) is
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- The coefficient of x^(3l+2) in the expression (a+x)^l(b+x)^(l+1)(c+x)^...
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- The interval in which x must lie so that greatest term in the expansio...
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- The digit in the unit place in the number (19)^(2005)+(11)^(2005)-(9)^...
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- If n lt p lt 2n and p is prime and N = .^(2n)Cn, then
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- If absx lt 2/3 then the 4^(th) term in the expansion of (1+3/2x)^(1/2)...
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- The sum of rational in (sqrt2+root(3)(3)+root(6)(5))^10 is equal to
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- Let f(x)=a0+a1x+a2x^2+.....+anx^n+....and f(x)/(1-x)=b0+b1x+b2x^2+.......
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- If (1-x^2)^n=sum(r=0)^narx^r(1-x)^(2n-r), then ar is equal to
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- The largest term in the expansion of (3+2x)^50, where x=1/5, is
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- The sixth term in the expansion of {2^(log2root(5)(9^(x-1)+7))+1/2^(1/...
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- The value of sum(r=0)^(20)r(20-r)(^(20)Cr)^2 is equal to ?
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- The value of sum(r=1)^(n+1)(sum(k=1)^n^kC(r-1)) (where r, k, n in N) i...
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