TCS Company Numerical Ability Algebra

If [x] denotes greatest integer less than equal to x,the value of ∑[log2n] ,n ranging from 1 to 1024 is
a)2048 b)8204 c)1024 d)10120

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TCS Other Question

4 men throw a die each simultaneously. Find the probability that at least 2 people get the same number
a. 5/18
b. 13/18
c. 1/36
d. 1/2
A sequence u1,u2……….is defined by u1=√2,u2=π,un=un-1-un-2 for n>=3.What is u1000?
a)1000(√2-1000π) b)-√2 c)π d)1000√2 –π