*#Q Alchemy is an occult tradition that arose in the ancient Persian empire. Zosimos of Panopolis was an early alchemist. Zara, reads about Zosimos and decides to try some experiments. One day, she collects two buckets, the first containing one litre of ink and the second containing one litre of cola. Suppose she takes one cup of ink out of the first bucket and pours it into the second bucket. After mixing she takes one cup of the mixture from the second bucket and pours it back into the first bucket. Which one of the following statements holds now?*

*a.There is more cola in the first bucket than ink in the second bucket.*

*b.There is as much cola in the first bucket as there is ink in the second bucket.*

*c.There is less cola in the first bucket than ink in the second bucket.*

*ANS:c*

*#Q*

*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*

*a.10*

*b.9*

*c.3*

*d.5*

*#Q*

*15 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 rightmost person is not questioned. Which of the following possibilities are true?*

*a. All the suspects are lying.*

*b. The leftmost suspect is guilty.*

*ANS : b*

*#Q*

*Alchemy is an occult tradition that arose in the ancient Persian empire. Zosimos of Panopolis was an early alchemist. Zara, reads about Zosimos and decides to try some experiments. One day, she collects two buckets, the first containing one litre of ink and the second containing one litre of cola. Suppose she takes one cup of ink out of the first bucket and pours it into the second bucket. After mixing she takes one cup of the mixture from the second bucket and pours it back into the first bucket. Which one of the following statements holds now?*

*a.There is more cola in the first bucket than ink in the second bucket.*

*b.There is as much cola in the first bucket as there is ink in the second bucket.*

*c.There is less cola in the first bucket than ink in the second bucket.*

*ANS: c*

*#Q*

*Both A and B Alice and Bob play the following chip-off-the-table game. Given a pile of 58 chips, Alice first picks at least one chip but not all the chips. In subsequent turns, a player picks at least one chip but no more than the number picked on the previous turn by the opponent. The player to pick the last chip wins. Which of the following is true?*

*a.In order to win, Alice should pick 14 chips on her first turn.*

*b.In order to win, Alice should pick two chips on her first turn.*

*c.In order to win, Alice should pick one chip on her first turn.*

*#Q*

*30 teams enter a hockey tournament. A team is out of the tournament if it loses 2 games. What is the maximum number of games to be played to decide one winner?*

*a.60*

*b.59*

*c.61*

*d.30*

*e.34*

*ANS: b*

*#Q*

*Suppose 12 monkeys take 12 minutes to eat 12 bananas. How many monkeys would it take to eat 72 bananas in 72 minutes?*

*a.6*

*b.72*

*c.12*

*ANS: c*

*#Q*

*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*

*womankind) 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.625*

*b.375*

*c.230*

*d.500*

*ANS: a*

*#Q*

*A and B play a game of dice between them. The dice consist of colors on their faces (instead of numbers). When the dice are thrown, A wins if both show the same color; otherwise B wins. One die has 4 red face and 2 blue faces. How many red and blue faces should the other die have if the both players have the same chances of winning?*

*a.3 red and 3 blue faces*

*b.2 red and remaining blue*

*c.6 red and 0 blue*

*d.4 red and remaining blue*

*ANS: a*

*#Q*

*A sheet of paper has statements numbered from 1 to 45. For all values of n from 1 to 45, statement n says “At most n of the statements on this sheet are false”. Which statements are true and which are false?*

*a.The odd numbered statements are true and the even numbered are false.*

*b.The even numbered statements are true and the odd numbered are false.*

*c.All statements are false.*

*#Q*

*All statemeThere are two containers A and B. A is half filled with wine whereas B which is 3 times the size of A contains one quarter portion wine. If both containers are filled with water and the contents are poured into container C, what portion of container C is wine?*

*a. .30*

*b. .31*

*c. .42*

*d. .25*

*#Q*

*A and B play a game of dice between them. The dice consist of colors on their faces (instead of numbers). 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 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*

*#Q*

*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.0.5*

*d.0.25*

*Ans:.25*

*Here the data about the distance is of no use.*

*For radius of 1 m if dart is inside the circle of 1/2 m radius the dart is closer to center than periphery*

*so area of 1/2 m circle is pie/4*

*area of board is pie*

*So probability = 0.25*

*#Q*

*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.6*

*b.18*

*c.72*

*d.12*

*Ans:12*

*#Q*

*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 many lines of code can be written by 72 programmers in 72 minutes?*

*ANS::*

*12 such programmers take 12 minutes to write 12 lines of code*

*means*

*1 programmer take 12 minutes to write 1line*

*72 programmer take 12 minutes to write 72line in total*

*72 programmer take 72 minutes to write 432(72*6)line in total*

*because the time increased into 6 factor(72/6)*

*or*

*432*

*we can by this formula*

*man*days=work*

*#Q*

*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.4/9*

*b.2/3*

*c.1/9*

*d.5/9*

*ANS::*

*(2/3)*(2/3)+(1/3)*(1/3)=5/9*

*#Q*

*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 * v (t – 8 ) for t = 8*

*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 8mm. How many years back did the solar blast occur?*

*a.24*

*b.12*

*c.8*

*d.16*

*ANS::*

*d= 4 * v (t – 8 )*

*in this equation v represents an square root.*

*d = 4 * sqrt(t-8)*

*d = 16 as r= 8 given*

*thus 16 = 4 * sqrt(t-8)*

*4 = sqrt (t-8)*

*t-8 = 16*

*t = 24*

*#Q*

*The difference between the ages of two of my three grandchildren is 3. My eldest grandchild is three times older than the age of my youngest grandchild and my eldest grandchild’s age is two years more than the ages of my two youngest grandchildren added together. How old is my eldest grandchild?*

*a.13*

*b.10*

*c.15*

*d.12*

*Ans::*

*15*

*#Q*

*A hunter leaves his cabin early in the morning and walks one mile due south. Here he sees a bear and starts chasing it for one mile due east before he is able to shoot the bear. After shooting the bear, he drags it one mile due north back to his cabin where he started that morning. What color is the bear?*

*a.Brown*

*b.Black*

*c.Grey*

*d.White*

*Ans::*

*From North Pole, there are an infinite number of points about 1 mile away , where you can walk 1 mile south, walk one mile east (all the way around the earth back to the same spot), and then back north again,*

*This is only possible if the cabin of man is at North Pole.*

*He can walk one mile due south, then one mile due east and finally one mile due north where he finds his cabin again. This means that his cabin can only be at the north pole, and for that reason the bear will be white.*

*#Q*

*One day Rapunzel meets Dwarf and Byte in the Forest of forgetfulness. She knows that Dwarf lies on Mondays, Tuesdays and Wednesdays, and tells the truth on the other days of the week. Byte, on the other hand, lies on Thursdays, Fridays and Saturdays, but tells the truth on the other days of the week. Now they make the following statements to Rapunzel – Dwarf: Yesterday was one of those days when I lie. Byte: Yesterday was one of those days when I lie too. What day is it?*

*a.Thursday*

*b.Tuesday*

*c.Sunday*

*d.Monday*

*ANS::*

*Thursday*

*Explanation :*

*On Thursday, Dwarf says truth. i.e Yesterday(Wednesday) was one of those days when I lies. Its true.*

*On the other hand, On Thursday, Byte lies. i.e Yesterday(Wednesday) was one of those days when I lie too. Its a lie.... So both satisfied. Hence its Thursday.*

*#Q:*

*The teacher is testing a student’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?*

*a.12*

*b.18*

*c.6*

*d.21*

*ANS::*

*x/3=3+x/6*

*so,x=18*

*#Q*

*A greengrocer was selling apple at a penny each, chickoos at 2 for a penny and peanuts at 3 for a penny. A father spent 7p and got the same amount of each type of fruit for each of his three children. What did each child get?*

*a.1 apple, 1 chickoo, 1 peanut*

*b.1 apple, 2 chickoos, 2 peanuts*

*c.1 apple, 2 chickoos, 1 peanut*

*d.1 apple, 3 chickoos, 2 peanuts*

*ANS::*

*Go from options*

*1 apple , 2 chickoos , 1 peanut :::::::::::: 3 children are there so he have to buy 3 apples for dat 3 penny’s. similarly for 2 chickoos each child he have to buy 6 chickoos for dat 3 penny’s and 1 peanut for each child he have to buy 3 peanuts for that 1 penny. So total 7*

*#Q*

*Here 10 programers, type 10 lines with in 10 minutes then 60lines can type within 60 minutes. How many programmers are needed?*

*a. 16*

*b. 6*

*c. 10*

*d. 60*

*ANS::*

*c.10*

*#Q*

*The citizens of planet nigiet are 8 fingered and have thus developed their decimal system in base 8. A certain street in nigiet contains 1000 (in base 8) buildings numbered 1 to 1000. How many 3s are used in numbering these buildings?*

*a. 54*

*b. 64*

*c. 265*

*d. 192*

*ANS: d*

*#Q*

*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.1*

*#Q*

*A Hare and a tortoise have a racing 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 leisurely3. A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the. 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 to tie the race?*

*a. 37.80*

*b.8*

*c. 40*

*d. 5*

*#Q*

*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. Then*

*a. In order to win, Alice's first move should be a 1-move.*

*b. In order to win, Alice's first move should be a 0-move.*

*c. In order to win, Alice's first move can be a 0-move or a 1-move.*

*d. Alice has no winning strategy.*

*#Q*

*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*

*ANS::*

*d.18*

*#Q*

*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.1/12*

*b.0*

*c.12/212*

*d.11/12*

*ANS:::*

*b)*

*Becoz atleast two letter will be inserted in the improper envelop number*

*QUESTION NO::43*

*#Q*

*There is a toy train that can make 10 musical sounds. It makes 2 musical sounds after being defective. What is the probability that same musical sound would be produced 5 times consecutively? (1 of )?*

*QUESTION NO::44*

*By using 1,2,3,4,5, how many 12 digit no. can be formed which is divisible by 4, repetation of no. is allowed?*

*#Q*

*A hollow cube of size 5cm is taken, with a thickness of 1cm. It is made of smaller cubes of size 1 cm. If 4 faces of the outer surface of the cube are painted, totally how many faces of the smaller cubes remain unpainted?*

*a.488*

*b.500*

*c.900*

*d.800*

*#Q*

*Planet Fourfi resides in 4-Dimensional space and thus the currency used by its residents are 3-dimensional objects. The rupee notes are cubical in shape while their coins are spherical. However the coin minting machinery lays out some stipulations on the size of the coins.*

*The diameter of the coins should be at least 64mm and not exceed 512 mm.**Given a coin, the diameter of the next larger coin is at least 50% greater.**The diameter of the coin must always be an integer.*

*You are asked to design a set of coins of different diameters with these requirements and your goal is to design as many coins as possible. How many coins can you design?*

*a.5*

*b.8*

*c.6*

*d.9*

*#Q*

*The pacelength P is the distance between the rear of the two consecutive footprints. For men, the formula, n/P=144 gives an approximate relationship between n and P where n=number of steps per minute and P=pacelength in meters. Bernard knows his pacelength is 164cm. The formula applies to Bernard's walking. Calculate Bernard's walking speed in kmph.*

*a.11.39*

*b.8.78*

*c.23.62*

*d.236.16*

*#Q*

*There are two boxes, one containing 10 red balls and the other containing 10 green balls. You are allowed to move the balls between the boxes so that when you choose a box at random and a ball at random from the chosen box, the probability of getting a red ball is maximized. This maximum probability is*

*a.14/19*

*b.37/38*

*c.1/2*

*d.3/4*
## 6 Response to TCS Openseesame (Open Seesame) : More questions (2)