IIT Mumbai Question Papers

Hello sir I am here as I want to get Previous Year Question Paper of PhD Admissions Screening Test IIT BOMBAY so will you please provide me the paper???

[sumit]

Hey!!! As per your demand here I am providing you Previous Year Question Paper of PhD Admissions Screening Test IIT BOMBAY


1. Suppose a fair coin is tossed repeatedly and heads appeared in the first 1000 tosses. What is the probability that tail will turn up in the 1001th toss?

(P) 2−1001

(Q) 0.5

(R) 0

(S) 1


2. Consider a square of side 1 metre. A number of ants are dropped on the edges of the square at time t = 0. Once an ant is dropped, it starts walking along the edge (assume that the ants walk only along the edges) with a speed of 1 metre per minute. Once it reaches a corner, it falls off the square. If two ants collide head on, they immediately reverse directions and continue walking with the same speed. The earliest time after which one can be sure that all ants fall off the square is

(P) 1 min

(Q) 3 min

(R) √ 2 min

(S) never


3. Laila and Majnu go to a dinner party with four other couples. Each person there shakes hands with everyone he or she doesn’t know. Later, Majnu does a survey and discovers that every one of the nine other attendees shook hands with a different number of people. How many people did Laila shake hands with?

(P) 8

(Q) 1

(R) 7

(S) 4


4. Five people of different heights go to a restaurant and sit at a round table at random. The probability that they are sitting in the order of their heights is

(P) 1 120

(Q) 1 12

(R) 1 2

(S) 1 10


5. Let f : R → R be a twice-differentiable function. Suppose that x ∗ is a local minimum of f. Which of the following is true always?

(P) f 00(x ∗ ) > 0

(Q) f 0 (x ∗ ) > 0

(R) f 00(x ∗ ) < 0

(S) None of the above


Year Question Paper of PhD Admissions Screening Test IIT BOMBAY