JEE PYQ Pattern Questions

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Try the first 5 questions

1.
The coefficient of x^{53} in sum_{m=0}^{100} C(100,m)*(x-3)^{100-m}*2^m is:
2.
The sum 1 + C(n,1) + C(n,2) + ... + C(n,n) equals:
3.
If sum_{r=0}^{n} (2r+1)*C(n,r) = A*2^n, then A equals:
4.
The term independent of x in (x + 1/(x^2))^{12} is:
5.
If (1+x)^n = C_0 + C_1*x + ... + C_n*x^n, then C_0 - C_2 + C_4 - C_6 + ... equals:

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