1) Two different positive numbers a and b differ from their reciprocals by 1. Find a+b
A) 1 B) √6 c) √5 D) 3 E) None of these.
A) 1
3) How many subsets of the set {1,2,3…,30} have the property that the sum of all elements is more than 232?
A) 2^30 B) 2^29 C) 2^29 -1 D) 2^29+1 E ) None of these
E ) None of these
4) Let the point P be (4,3). Choose a point Q on y=x line and another point R on the line y=0 such that sum of lengths PQ+QR+
PR is minimum. Find this minimum length.
A) 5√2 B) 3+3√2 C) 5 D) 4 E) 10
c) 5
5) Let f be a function defined on odd natural numbers which return natural numbers such that f(n+2)=f(n)+n
and f(1)=0 . Then f(201)?
A) 10000 B)20000 C) 40000 D) 2500 E) None of these
A) 10000
7) The product of n numbers is n and their sum is 0. Then n is always divisible by
A) 3 B) 4 C) 5 D) 2 E) None of the foregoing
B) 4
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