There were 3 rounds:
1) Written Test
2) Technical & managerial round
3) HR round
(Written Test: 35 questions 80 mins)
1) 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
5) A sheet of paper has statements numbered from 1 to 70. For all values of n from 1 to 70. Statement n says 'At least n of the statements on this sheet are false.' Which statements are true and which are false?
a) The even numbered statements are true and the odd numbered are false. b) The odd numbered statements are true and the even numbered are false. c) The first 35 statements are true and the last 35 are false. d) The first 35 statements are false and the last 35 are false.Ans: c
6) There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one litre every hour in A, it gets filled up like 10, 20, 40, 80, 160 in tank B. (At the end of first hour, B has 10 litres, second hour it has 20, and so on). If tank B is 1/32 filled after 21 hours, what is the total duration required to fill it completely?
a) 26 hrs b) 25 hrs c) 5 hrs d) 27 hrs
Ans: a
7) There are two water tanks A and B, A is much smaller than B. While water fills at the rate of one litre every hour in A, it gets filled up like 10, 20, 40, 80, 160... in tank B. (At the end of first hour, B has 10 litres , second hour it has 20, and so on). If tank B is 1/16 filled after 4 hours, what is the total duration required to fill it completely?
8) Unnecessary data. A lady has fine gloves and hats in her closet- 18 blue- 32 red , 10 white , 25 yellow, 55 purple, 30 orange. The lights are out and it is totally dark inspite of the darkness. She can make out the difference between a hat and a glove. She takes out an item out of the closet only if she is sure that if it is a glove. How many gloves must she take out to make sure she has a pair of each colour of blue, red, yellow?
a) 59 b) 8 c) 50 d) 42
Ans: a(32+25+2)
11) 12 people {a1, a2, Â…, a12} meet and shake hands in a circular fashion. In other words, there are totally 36 handshakes involving the pairs, {a1, a2}, {a2, a3}, Â…, {a11, a12}, {a12, 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) 4 c) 18 d) 11
Ans: B
12 ) Alice and Bob play the following coins-on-a-stack game. 100 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 = 100). 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 itÂ’s a playerÂ’s turn then the player wins the game.
13) A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: Â‘Exactly n of the statements on this sheet are false.Â’ Which statements are true and which are false?
A. The even numbered statements are true and the odd numbered statements are false. B. The last second statement is true and the rest are false.14) 10 people meet and shake hands. The maximum number of handshakes possible if there is to be no Â“cycleÂ” of handshakes is (A cycle of handshakes is a sequence of k people a1, a2, Â…Â…, ak (k > 2) such that the pairs {a1, a2}, {a2, a3}, Â…Â…, {ak-1, ak}, {ak, a1} shake hands).
a)7 b) 6 c) 9 d) 8
Ans: c
15) After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?
a) 0 b) 12/212 c) 11/12 d) 1/12
17) Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is
a) 4 b) 3 c) 0 d) 1
Ans: a 3 lines are given so ans is 4 one incenter and 3 excenters. If it is 3 line segments then ans would be 1
18) Alok and Bhanu play the following min-max game. Given the expression
N = 15 + X*(Y Â– 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
Ans: 15+18 =33
19) A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as the win the race?(for this values are changed)
a) 8 b) 5 c) 37 d) 80
Ans: c
20) A sheet of paper has statements numbered from 1 to 45. For all values of n from 1 to 45, statement n says Â“At most n of the statements on this sheet are falseÂ”. Which statements are true and which are false?
23) The teacher is testing a studentÂ’s proficiency in arithmetic and poses the following question. 1/3 of a number is 3 more than 1/6 of the same number. What is the number? Can you help the student find the answer?
24) 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
a) 2 b) 4 c) 9 d) -18
25) Horse started to chase dog as it relieved stable two hrs ago. And horse started to ran with average speed 22km/hr, horse crossed 10 mts road and two small pounds with depth 3m, and it crossed two small street with 200 mts length. After traveling 6 hrs, 2hrs after sunset it got dog. compute the speed of dog?
Ans: As we have speed and travel time of horse, we can get distance travelled by it.
Hence d = 22*6 = 132km,
Exactly this 132km was travelled by dog in 8 hours (as it started two hours earlier).
Hence speed of dog = 132/8 = 16.5km/hr
Ans: 16.5km/hr.
26) A and B play a game between them. The dice consist of colors on their faces(instead of number). When the dice are thrown, A wins if both show the same color, otherwise B wins. One die has 3 red faces and 3 blue faces. How many red and blue faces should the other die have if the both players have if the both players have the same chances of winning?
a) 5 red and 1 blue faces.
b) 1 red and 5 blue faces.
c) 3 red and 3 blue faces.
Ans: c
27) In planet OZ planet there are 8 days, sunday to saturday and 8th day is Oz day. There is 36 hours in a day. What is angle between 12.40?
a) 80 b) 81 c) 87 d) 89
Ans: 89
1. Alok is attending a workshop "How to do more with less" and today's theme is Working with fewer digits. The speakers discuss how a lot of miraculous mathematics can be achieved if mankind (as well as woman kind) had only worked with fewer digits. The problem posed at the end of the workshop is how many 5 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) 375 b) 3125 c) 500 d) 625
Ans: d
2) A circular dartboard of radius 1 foot is at a distance of 20 feet from you. You throw a dart at it and it hits the dartboard at some point Q in the circle. What is the probability that Q is closer to the center of the circle than the periphery?
a) 0.75 b) 1 c) 0.25 d) 0.5
Ans: 0.25
3) 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) 13 b) 18 c) 11 d) 12
Ans: 12
4) The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billion. As one of the forerunners in the technology front, Tirnop continues to lead the way in products and services in India. At Tirnop, all programmers are equal in every respect. They receive identical salaries ans also write code at the same rate. Suppose 12 such programmers take 12 minutes to write 12 lines of code in total. How long will it take 72 programmers to write 72 lines of code in total?
a) 18 b) 72 c) 6 d) 12
Ans: 12
5) After the typist writes 12 letters and addresses 12 envelopes, she inserts the letters randomly into the envelopes (1 letter per envelope). What is the probability that exactly 1 letter is inserted in an improper envelope?
a) 0 b) 1/12 c) 11/12 d) 12/212
Ans: 0
6) A sheet of paper has statements numbered from 1 to 40. For all values of n from 1 to 40, statement n says: 'Exactly and of the statements on this sheet are false.' Which statements are true and which are false?
a) The 39th statement is true and the rest are false. All the statements are false.
b) The odd numbered statements are true and the even numbered statements are false.
c) The even numbered statements are true and the odd numbered statements are false
Ans: A
7) A sheet of paper has statements numbered from 1 to 40. For each value of n from 1 to 40, statement and says "At least n of the statements on this sheet are true." Which statements are true and which are false?
a) The odd numbered statements are true and the even numbered are false.
b) The first 26 statements are false and the rest are true.
c) The even numbered statements are true and the odd numbered are false.
d) The first 13 statements are true and the rest are false.
Ans: D
8) 10 suspects are rounded by the police and questioned about a bank robbery. Only one of them is guilty.
The suspects are made to stand in a line and each person declares that the person next to him on his right is guilty. The right most person is not questioned. Which of the following possibilities are true?
A. All suspects are lying or the leftmost suspect is innocent.
B. All suspects are lying and the leftmost suspect is innocent .
Neither A nor B
Both A and B
B only
A only
Ans:D
9) Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 30, the number of points equidistant from all the 3 lines is
a) 4 b) 3 c) 1 d) 0
Ans: 4
12) For the FIFA world cup, Paul the octopus has been predicting the winner of each match with amazing success. It is rumored that in a match between 2 teams A and B, Paul picks A with the same probability as A's chances of winning.
Let's assume such rumors to be true and that in a match between Ghana and Bolivia, Ghana the stronger team has a probability of 2/3 of winning the game. What is the probability that Paul will correctly pick the winner of the Ghana-Bolivia game?
a) 5/9 b) 1/9 c) 2/3 d) 4/9
Ans: 5/9
13) On planet zorba, a solar blast has melted the ice caps on its equator. 8 years after the ice melts, tiny plantoids called echina start growing on the rocks. echina grows in the form of a circle and the relationship between the diameter of this circle and the age of echina is given by the formula
d = 4 * √ (t - 8) for t ≥ 8
Where the 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 8mm. How many years back did the solar blast occur?
a) 12
b) 16
c) 8
d) 24
Just substitute values then you get ans
14) 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 be16) Two tanks A and B. A fills 1 ltr/1 hour B fills 10, 20, 30 per hour. If this is (passage unnecessary). If 1/4th tank of B takes 15 hours to fill how much it time will to take to fill complete tank?
Ans:17
17) Out of 7 children the youngest is boy then find the probability that all the remaining children are boys
Ans: 1/2^6 = 1/64
18) A Toy train can make 10 sounds sound changes after every 4 mins, now train is defective and can make only 2 sounds. Find probability that same sound is repeated 5 times consecutively (1 out of)?
Ans: 1/32
20) In school there are some bicycles and 4wheeler wagons. One Tuesday there are 234 wheels in the campus. How many bicycles are there?
Ans: Go with options. Multiply each option with 2 and subtact the obtained no from 234. If it is exactly divisible by 4, that is the answer.22) A piza shop made pizzas with to flavours. In home there are Â‘9Â’ different flavors, in that Â‘2Â’ flavors are taken to made piza in how many ways they can arrange?
(Logic: NcM, N= 9, M=2 )
23) One organization, material, labor and maintenance are in the ratio of 4:6:7, if the material cost is: 272, what is the total cost?
Ans: 4x=272 => x=68; now total cost = 272 + 6(68)+7(68).
24) 4 years before PaulÂ’s age is 3times the Alice age and the present age of Paul is 6times the Alice. What is the presents PaulÂ’s age?
Ans: x-4 = 3(y-4); x=6y: Solve you will get it.
25) In a question, last part has, the ages of two people has the ratio of 6:5 and by adding the numbers we get 55, after how many years the ratio would be 8:7?
Ans: Easy you can do it, simple equtions
26) In a room (unwanted stuff) Sports readers, 10 tables, 4 chairs per table, each table has different number of people then how many tables will left without at least one person?
Ans : 6