How many four digit numbers can be formed using the digits 1, 2, 3, 4, 5 (but with repetition) that are divisible by 4? Can you help Alok find the answer? a) 100 b) 125 c) 75 d) 85

10) On planet korba, a solar blast has melted the ice caps on its equator. 9 years after the ice melts, tiny planetoids called echina start growing on the rocks. Echina grows in the form of circle, and the relationship between the diameter of this circle and the age of echina is given by the formula d = 4*√ (t-9) for t ≥ 9 Where d represents the diameter in mm and t the number of years since the solar blast. Jagan recorded the radius of some echina at a particular spot as 7mm. How many years back did the solar blast occur? a) 17 b) 21.25 c) 12.25 d) 12.06 Ans: b

Alice and Bob play the following coins-on-a-stack game. 20 coins are stacked one above the other. One of them is a special (gold) coin and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to another position in the stack. Alice starts and the players take turns. A turn consists of moving the coin on the top to a position i below the top coin (0 = i = 20). We will call this an i-move (thus a 0- move implies doing nothing). The proviso is that an i-move cannot be repeated; for example once a player makes a 2- move, on subsequent turns neither player can make a 2-move. If the gold coin happens to be on top when it's a player's turn then the player wins the game. Initially, the gold coinis the third coin from the top

36 people {a1, a2, ..., a36} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, ..., {a35, a36}, {a36, a1}. Then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is a)12 b)11 c)13 d)18

Person who dicided to go to weekend trip should not exceed 8 hrs driving in a day. Average speed of forward journey is 40 miles/hour . Due to traffic in sundays ,in return journey average speed is 30mph . How far he can select a picnic spot ?

Given a collection of points P in the plane , a 1-set is a point in P that can be separated from the rest by a line, .i.e the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The MINIMUM value of n1(P) over all configurations P of 5 points in the plane in general position (.i.e no three points in P lie on a line) is a) 3 b)5 c)2 d)8

Given a collection of points P in the plane, a 1-set is a point in P that can be separated from the rest by a line; i.e. the point lies on one side of the line while the others lie on the other side. The number of 1-sets of P is denoted by n1(P). The maximum value of n1(P) over all configurations P of 19 points in the plane is 18 9 3

2. The school committee of a small town wanted to determine the average children per household of the town. They divided the total no. of children in the town by total no. of households. Total no. of households = 50. Which of the following statements must be true if the average children per household are 2.2?

Alok and Bhanu play the following min-max game. Given the expression N = 9 + X + Y - Z Where X, Y and Z are variables representing single digits (0 to 9), Alok would like to maximize N while Bhanu would like to minimize it. Towards this end, Alok chooses a single digit number and Bhanu substitutes this for a variable of her choice (X, Y or Z). Alok then chooses the next value and Bhanu, the variable to substitute the value. Finally Alok proposes the value for the remaining variable. Assuming both play to their optimal strategies, the value of N at the end of the game would be 27 0.0 20 18

10men and 10 women are there, they dance with each other, is there possibility that 2 men are dancing with same women and vice versa?

There are 100 men and 100 women on the dance floor. They want to dance with each other. Then which of the following statements is always true: a) There are 2 men who danced with equal no. of women’s b) There are 2 women who danced with equal no. of men a) both a and b b)only a c)only b d)none

Total number of wheels of bicycles & 4 wheeled vechicles is 38. How many bicycles are there?

Q16. A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: 'Exactly n of the statements on this sheet are false.' Which statements are true and which are false?

A number when divided by D leaves a remainder of 8 and when divided by 3D leaves a remainder of 21 . What is the remainder left, when twice the number is divided by 3D?

A man travels from A to B at 4 mph over a certain journey and returns over the same route to A, at 5 mph. What is his average speed for the journey?