We will start with power plays now. It shall consist of 10 Problems and You are expected to solve them in 25-30 Mins. Each correct answer carries 5 marks. The first two wrong answers carry (-1) marks each, the next two (-2) marks each and so on. Maximum time is 30 mins, but you are expected to solve in 25 mins!
Good Luck !
Please hit the comment button and post your keys, I will post the official keys and solution in 7 days time!
And We will have a better mechanism hopefully, by the next powerplay!
Power Play I
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.
2) How many positive integer multiples of 1001 can be expressed in the form 10^j-10^i where i and j are integers such that 0<=i<j<99?
A) 15 B) 90 C) 64 D) 720 E) 784
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
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
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
6) A semicircle is inscribed in a right triangle so that its diameter lies on the hypotenuse and the centre divides the hypotenuse into segments 15 cm and 20 cm long. FInd the length of the arc of the semicricle included between its points of tangency with the legs.
A) 2π B) 3π C) 4π D) 6π E) none of these
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
8 ) Let P(x) be a polynomial with integer coefficients such that P(17)=10 and P(24)=17 . It is further know that P(n)=n+3 has two distinct integer solutions a and b. Find a.b
A) 10 B) 220 C) 190 D) 48 E) 418
9) Let A and B be two points on the plane. Let S be the set of points P such that PA^2+PB^2 is at most 10. Find the area of S
A) 2π B) π C) 4π D) 6π E) none of these
10) Let T={9^k: k is an ineteger 0<=k<=4000}. Given that 9^4000 has its 3817 digits and its leftmost digit is 9. Find the number of elements in T which also have leftmost digit as 9.
A) 92 B) 93 C) 183 D) 184 E) 185
Good Luck !
Showing posts with label Quant Test. Show all posts
Showing posts with label Quant Test. Show all posts
Saturday, August 30, 2008
Subscribe to:
Comments (Atom)