100 TCS Sanple questions part 5



401) Same model as 4th question. But it is on flat surface. Formula is same 2xy/(x+y).
402) Six friends go to pizza corner there r 2 types of pizzas. And six different flavors r there they have to select 2 flavors from 6 flavors. In how many ways we can select?
Ans: 6C2

403) 3, 15, x, 51, 53,159,161. Find X
Ans: 17

404) 3 friends A, B, C went for week end party to McDonald’s restaurant and there they measure there weights in some order IN 7 rounds. A;B;C;AB;BC;AC;ABC. Final round measure is 155 kg then find the average weight of all the 7 rounds?
Ans: 4(155)/7=31
405) 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 )?
Answer: 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32
406) (There was a long story, I'll cut short it). There are 5 materials to make a perfume: Lilac, Balsamic, Lemon, and Woody and MI mosaic. To make a perfume that is in demand the following conditions are to be followed: Lilac and Balsamic go together. Woody and MI mosaic go together; Woody and Balsamic never go together. Lemon can be added with any material. (Actually they had also mentioned how much amount of one can be added with how much quantity of the other; but that's not needed for the question.) All of the following combinations are possible to make a perfume except:
1) Balsamic and Lilac
2) Woody and Lemon
3) MI mosaic and Woody
4) MI mosaic and Lilac

407) A triangle is made from a rope. The sides of the triangle are A cm, B cm and C cm (I do not remember the numerical value). What will be the area of the square made from the same rope?
Ans: ((A+B+C)/4)2

408) What is the distance of the z-intercept from the x-intercept in the equation ax+by+cz=d (I do not remember the values of a, b, c, d).
Ans: sqrt ((d/a) 2+ (d/c) 2)

409) A scientist in Antarctic region conducts research on bears came to know that bears changes according to the location .once he moves 1 mile towards north, then he moves 2 miles towards east, then 1 mile towards south. Now the color of bear he found will be in:
Ans: white
410) (1/3) of a number is 3 times more than the (1/6) of the same number? 
Ans is 18

411) There are 11 boys in a family. Youngest child is a boy. What is the probability of all are boys?
a) 2      b) 2!     C) 2048           d) 1024

412) A boy bought a roll A of 56 inches wide and 141 yards long. He also bought B of 77 inches wide of length 333yards. We don’t want any details of B. Some irrelevant matter. Final question is Time taken for cutting A into 1 yard piece is 2 seconds. Time taken to cut into 141 pieces of 1 yard each is?
Ans is 2(141) =242

413) A Person buys a horse for 15 ponds, after one year he sells it for 20 pounds. After one year, again he buys the same horse at 30 pounds and sells it for 40 pounds. What is the profit for that person?
Ans is 15 pounds

414) John buys a cycle for 31 dollars and given a cheque of amount 35 dollars. Shop Keeper exchanged the cheque with his neighbor and gave change to John. After 2 days, it is known that cheque is bounced. Shop keeper paid the amount to his neighbor. The cost price of cycle is 19 dollars. What is the profit/loss for shop keeper?
Ans is 23(cost price + change given).

415) In a family there are some boys and girls. All boys told that they are having equal no of brothers and sisters and girls told that they are having twice the no. of brothers than sisters. How many boys and girls present in a family?
Ans is 4 boys and 3 girls
416) There are certain number of hats and gloves in a box. They are of 41 red, 23 green, 11 orange. Power gone. But a woman can differentiate between hats and gloves.How many draws are required to obtain a pair of each color.
417) There is a die with 10 faces. It is not known that fair or not. 2 captains want to toss die for batting selection. What is the possible solution among the following?
a) If no. is odd it is head, if no. is even it is tail
b) If no. is odd it is tail, if no. is even it is head
c) Toss a die until all the 10 digits appear on top face. And if first no. in the sequence is odd then consider it as tail. If it is even consider it as head.
I didn’t remembered last option and I don’t know answer.

418) 2 years ago of A is x times that of B. 3 Years hence the age of A is 4/3 times of B. What is the present age of B in binary form?
I didn’t remember the exact values of x and y. You can solve easily.

419) metal strip of width ‘x’ cm. 2 metal strips are placed one over the other, then the combine length of 2 strips is ‘y’. If ‘z’ strips are placed in that manner. What is the final width of that arrangement?
Ans is (z-1) (y-x) +x.

420) 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

421) A game is played between 2 players and one player is declared as winner. All the winners from first round are played in second round. All the winners from second round are played in third round and so on. If 8 rounds are played to declare only one player as winner, how many players are played in first round
Ans is 28.

422) There are 3 boys A, B, C and 2 Girls D, E. D always sit right to A. Girls never sit in extreme positions and in the middle position. C always sits in the extreme positions. Who is sitting immediate right to E?
Ans is B or C

423) 49 members attended the party. In that 22 are males, 17 are females. The shake hands between males, females, male and female. Total 12 people given shake hands. How many such kinds of such shake hands are possible?
Ans is 12C2

424) There are 1000 pillars for a temple. 3 friends Linda, Chelsey, Juli visited that temple. (Some unrelated stuff) Linda is taller than Chelsea and taller than 2 of 1000 pillars. Julia is shorter than Linda. Find the correct sentence?
a) Linda is shorter among them
b) Chelsea is taller than Julia
c) Chelsea is shorter than Julia
d) Cannot determine who is taller among Chelsea and Julia
Ans: d
425) Entry ticket to an exhibition ranges from 1p to 31p. You need to provide exact change at the counter. You have 31p coin. In how many parts will u divide 31p so that u will provide the exact change required and carry as less coins as possible?
a) 22   b) 31   c) 6   d) 32
Ans is 6
426) There are 2 friends Peter and Paul. Peter age is twice as old as Paul when peter was as old as Paul is now. Sum of the present ages of Peter and Paul is 35.What is the present age of Peter?
Ans is 20

427) 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? 
428) 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

429) The three sides of a triangle are given. 16, 14, 21 cms and this triangle is conveted into a square. So what will be the area of the square generated?
Ans:(14+16+21)/4. Then you will get the 1 side of a square and now find the area of a square.ie, side^2
430) An equation of the form 4x+6y-2z=32 . Find the difference between x intercept and z intercept?Ans: x/a+y/b+z/c=
431) 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

432) 20men and 20 women are there, they dance with each other, is there possibilty that 2 men are dancing with same women and vice versa.
Ans: Never

433) 10 people are there, they are shaking hands together, how many hand shakes possible, if they are in  no pair of cyclic sequence.
Ans-9 

434) 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.

435) A father has 7 penny’s with him and 1 water melon is for 1p, 2 chickoos for 1p, 3 grapes foe 1p. He has three sons. How can he share the friuts equally?
Ans: 1 watermelon, 2chickoos, 1grape

436)  A piza shop made pizzas with to flavours. In home there are ‘9’ different flavors, in that ‘2’ flavors are taken to made piza   in  how many ways they can arrange?
(Logic: NcM, N= 9, M=2 ) 

437) 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).
438) 4 years before Paul’s age is 3times the Alice age and the present age of Paul is 6times the Alice. What is the presents Paul’s age?
Ans: x-4 = 3(y-4); x=6y: Solve you will get it.
439) 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
440)  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
441) Passage joe is taller than jerry and 3 pillers. kistern  is shorter than joe and 2 pillers is jerry shorter/taller than kistern ?
442) a volume of A are having in a container of sphere. how many semi hemispheres of  B volume each will be required to transfer all the A in to semi hemispheres?
Ans: A= x B

443) Question based on V=I*R but in dis question most of data given are ridiculas like volume, density, length, height similar long story are given
444) Peter and Paul are two friends. The sum of their ages is 42 years. Peter is twice as old as Paul was when Peter was as old as Paul is now. What is the present age of Peter?
445) A horse chases a pony 2 hours after the pony runs. Horse takes 4 hours to reach the pony. If the average speed of the horse is 81 kmph, what s the average speed of the pony? (This question was really long with loads of irrelevant statement)
446) Difference between two numbers is 4 and their product is 17. Then find the sum of their squers?
447)  A, B, C, D, E are there among A, B, C are boys and D, E are girls D is to the left of A and no girl sits at the middle and at the extemes. Then what is the order of their sittings.
448) Some ages problem, then asked the answer in binary
449) (Some chetta chikkati solutions) unwanted data folowed by  a formula diameter d = 10*(t-14), t>14 then what id diameter after t=40?
450) Some denominations question like you have 31 paise, and ticket cost is between 1 to 31, you have to give the exact denominations for the ticket. Find all the no. of possible denominations you may prdict and you must be left wid atleast few paise?
451) Direction problems. A man goes 50 km North, then turned left walked 40 km, then turned right? In which direction is he in?
Ans: North 
   **************************
__________ALL_THE_BEST___________


 Q1) 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

 Q2) Paul the octopus who has been forecasting the outcome of FIFA world cup matches with tremendous accuracy has now been invited to predict ICC world cup matches in 2011. We will assume that the world cup contenders have been divided into 2 groups of 9 teams each. Each team in a group plays the other teams in the group. The top two teams from each group enter the semi finals ( after which the winner is decided by knockout).

        However, Paul has a soft spot for India and when India plays any team, Paul always backs India. Alas, his predictions on matches involving India are right only 2 out of 3 times. In order to qualify for the semi finals, it is sufficient for India to win 7 of its group matches. What is the probability that India will win the ICC world cup?

             a)    (2/3)^10                                  b) (2/3)^9 + 8/3 * (2/3)^9 
             c)    8/3 * (2/3)^9                           d) (2/3)^10 + 8/3*(2/3)^9

Q3) A toy train produces at least 10 different tunes when it moves around a circular toy track of radius 5 meters at 10 meters per minute. However , the toy train is defective and it now produces only two different tunes at random. What are the odds that the toy train produces 4 consecutive music tunes of the same type?

      a) 1 in 16  b)  1 in 4  c)  1 in 8

Q4) 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) 13                                                          b) cannot be determined

c)      3                                                          d) 42

Q5) Six friends decide to share a big cake. Since all of them like the cake, they begin quarreling who gets to first cut and have a piece of the cake. One friend suggests that they have a blindfold friend choose from well shuffled set of cards numbered one to six. You check and find that this method works as it should simulating a fair throw of a die. You check by performing multiple simultaneous trials of picking the cards blindfold and throwing a die. You note that the number shown by the method of picking up a card and throwing a real world die, sums to a number between 2 and 12. Which total would be likely to appear more often – 8,9 or 10?

            a)   8                                                             b) All are equally likely
    
c)      9                                                             d) 10


  
Q6) One day Alice meets pal and byte in fairyland. She knows that pal  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 Alice – pal. 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)      Monday                                                        d) Sunday

Q7) A car manufacturer produces only red and blue models which come out of the final testing area completely at random. What are the odds that 5 consecutive cars of the same color will come through the test area at any one time?

             a) 1 in 16                                                              b) 1 in 125

c)      1 in 32                                                             d) 1 in 25

Q8) 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 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

Q9) Rearrange the following letters to make a word and choose the category in which it Ms RAPETEKA

  a) Bird   b)  Vegetable   c)  City    d)  Fruit

Q10) 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

Q11) In the reading room of a library, there are23 reading spots. Each reading spot consists of a round table with 9 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 36 readers, how many reading spots do not have even a single  reader?

  a) 8      b)  None        c) 16         d) 15


Q12) Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari , the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Feraari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari . It could go 4 times as fast as Mohan's old Mercedes. If  the speed of Mohan's Mercedes is 46 km/hr and the distance traveled  by the Ferrari is 953 km, find the total time taken for Rohit to drive that distance.

  a) 20.72        b) 5.18     c)  238.25     d)  6.18


Q13) 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.

Q14) Middle – earth  is a fictional land inhabited by Hobbits, Elves, dwarves and men. The Hobbits and the Elves are peaceful creatures who prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows . A tournol is one where out of the two teams that play a match, the one that loses get eliminated. The matches are played in different   rounds where in every round , half of the teams get eliminated from the tournament. If  there are 8 rounds played in a knock-out tournol how many matches were played?

            a) 257   b)  256  c)  72  d) 255

Q15) A research lab in Chennai requires 100 mice and 75 sterilized cages for a certain set of laboratory experiments . To identify the mice, the lab has prepared labels with numbers 1 to 100 , by combining tags numbered 0 to 9. The SPCA  requires that the tags be made of toxin-free material and that the temperature of the cages be maintained at 27 degree Celsius. Also , not more than 2 mice can be caged  together and each cage must be at least 2 sq.ft in area. The 5 experiments to be conducted by lab are to be thoroughly documented and performed only after a round of approval by authorities. The approval procedure takes around 48 hours. How many times is the tag numbered '4' used by the lab in numbering these mice?

          a) 9             b)19         c)  20     d)  21


Q16)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


Q17) Consider two tumblers, the first containing one litre of coffee. Suppose you take one spoon of water out of the first tumbler and pour it into the second tumbler. After moving you take one spoon of the mixture from the second tumbler and pour it back into the first tumbler . Which one of the following statement holds now?

          a)  There is less coffee in the first tumbler than water in the second tumbler.

          b)  There is more coffee in the firs tumbler than water in the second tumbler

          c)  There is as much coffee in the first tumbler as there is water in the second tumbler

          d)  None of the statements holds true.


Q18) Francois Pachet , a researcher at Sony Computer Science laboratories is also a jazz musician. He decided to build a  robot able to improvise like a pro. Named Continuator, the robot can duet with a live musician in real- time. It listens to a musical phrase and then computes  a complementary phrase with the same playing style. If the cost of making the robot is divided between and then computes a complementary phrase with the same playing style. If the cost of making the robot is divided between materials , labour and overheads in the ratio of 4:6:2.If the materials cost $108. the cost of  the robot is


        a) $270     b)  $324   c) $216   d) $ 648

Q19) A lady has fine gloves and hats in her closet- 18 blue- 32 red and 25 yellow. 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?

       a) 50  b) 8  c) 60  d) 42

Q20) A man jogs at 6 mph over a certain journey and walks over the same route at 4 mph. What is his average speed for the journey?

       a) 4 mph  b) 5 mph  c) 2.4 mph  d)  4.8 mph



Q21) Spores of a fungus, called late blight, grow and spread infection rapidly. These pathogens were responsible for the Irish potato famine of the mid-19th century. These seem to have attacked the tomato crops in England this year. The tomato crops have reduced and the price of the crop has risen up . The price has already gone up to $45 a box from $27 a box a month ago. How much more would a vegetable vendor need to pay to buy 27 boxes this month over what he would have paid last month?

   a) $27    b) $ 18   c)  $45    d)  $ 486

Q22) Given a collection of 36 points P in the plane and a point equidistant from all points in P, which of the following are necessarily true?
 
  A. The points in P lie on a circle.

  B. The distance between any pair of points in P is larger than the distance between X and a point in P


   a) A and B    b)  Neither A nor B  c)  B only   d) A only


Q23) In the year 2002, Britain was reported to have had 4.3m closed – circuit television (CCTV) cameras – one for every 14 people in the country . This scrutiny is supposed to deter and detect crime. In one criminal case, the police interrogates two suspects . The ratio between the ages of the two suspects is 6:5 and the sum of their ages is 6:5 and the sum of their ages is 55 years. After how many years will the ratio be 8:7.?

   a) 11                       b) 6                   c)  10             d) 5 


Q24) Susan made a block with small cubes of 8 cubic cm volume to make a block 3 small cubes long, 9 small cubes wide and 5 small cubes deep. She realizes that she has used more small cubes than she really needed. She realized that she could have glued a fewer number of cubes together to lock like a block with same dimensions, if it were made hollow. What is the minimum number of cubes that she needs to make the block?

  a) 114                    b)  135                c)  21            d) 71


Q25) Alok and Bhanu play the following coins in a circle game. 99 coins are arranged in a circle with each coin touching two other coin. Two of the coins are special and the rest are ordinary. Alok starts and the players take turns removing an ordinary coin of their choice from the circle and bringing the other coins closer until they again form a (smaller) circle. The goal is to bring the special coins adjacent
to each other and the first player to do so wins the game. Initially the special coins are separated by two ordinary coins O1 and O2. Which of the following is true ?

  a) In order to win, Alok should remove O1 on his first turn.

  b) In order to win, Alok should remove one of the coins different from O1 and O2 on his first turn.

 
   c) In order to win, Alok should remove O2 on his first turn.

  d)  Alok has no winning strategy.

1)  A school yard contains only bicycles and 4 wheeled wagons. On Tuesday, the total number of  wheels in the schoolyard was 114. What would be the possible number of bicycles?
         18
         17
         16
          8
2)  Determine the distance between x-intercept and 2-intercept of the plane where equation is 6x+8y-32=72.
         3
         26.83
         9
         25.63
3) There are 7 children and the youngest child is a boy. What is the probability that all of them are boys is 1 in
         2!
         64
         128
         2
4) NY public library is one of the world’s greatest repositories of books and journals. It has a beautiful reading room facing Manhattan’s famous 5th Avenue. In the reading room are10 reading spots. Each reading spot consists of a round table with 4 chairs placed around it. There are some readers such that in each occupied reading spot, there are different numbers of readers. If in all there are10 readers, how many spots are empty?
         6
         none
         5
         4
5) A seamstress buys a certain amount of Gingham cloth which comes in rolls that are exactly 56 inches wide. She has also bought a certain length of Seek sucker cloth and 35 inches wide. The seamstress first focuses on the Gingham roll ad discovers that she has 116 yards of Gingham and she wants to divide the gingham into 116 lengths of 1 yard each. She wants to have twice as many pieces of seek sucker as she does of the Gingham. It takes 4 seconds to cut each length of Gingham. Working non-stop, how long (in seconds) will it take her to cut all 116 pieces?
         464
         460
         463
         465
6) 20 people meet and shake hands. The maximum number of hand shakes possible if there is to be no ‘cycle’ of handshakes is( a cycle of handshake is a sequence of people a1,a2,…..ak) such that people(a1,a2),(a2,a3)…..(a(k-1),ak),(a2,a1) shake hand is
         16
         18
         19
         17
7) A pie is to be divided among 20 people. A man eats 3 pieces, a woman eats 2 pieces and a child eats ½ a piece of pie. What is the number of men, women children, so that 20 people in total and everyone get the same pie? There are 20 pieces of pie in all.
         7 women, 1 man, 12 children
         5 women, 1 man, 14 children
         4 women, 2 men, 12 children
8) A toy train produces at least 10 different tunes when it moves around a circular toy track of radius 5m at 10 m/min. However, the toy train is defective and it now produces only 2 different tunes at random. What are the odds that toy train produces 6 consecutive music tunes of the same type.
         32
         64
         36
         6
1)  Bob, Peter, Oliver and 2 girls –Raven and Chelsey are to be seated in a row. Raven often gets sits to left of Bob. No girl sits at extreme positions and middle positions. Peter always sits at the extreme position. Who sits to the right of Chelsey?
         Oliver
         Bob
         Peter/Oliver
         Peter
2) A taxi driver commenced his journey from a point and he drove 10 km towards north and turned to his left and drove another 20 km. After waiting to meet a friend here, he turned to his right and continued to drive another 10 km. In which direction is he now?
         West
         South
         North
         East
3) A hunter walked one kilometer south from his camp. Then he walked one kilometer west. There he shot a bear. Then he walked one kilometer north, and found that he was back at his camp. What color was the bear?
         Black
         White
         Brown
         None of the above



 Q1) 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


 Q2) Paul the octopus who has been forecasting the outcome of FIFA world cup matches with tremendous accuracy has now been invited to predict ICC world cup matches in 2011. We will assume that the world cup contenders have been divided into 2 groups of 9 teams each. Each team in a group plays the other teams in the group. The top two teams from each group enter the semi finals ( after which the winner is decided by knockout).
        However, Paul has a soft spot for India and when India plays any team, Paul always backs India. Alas, his predictions on matches involving India are right only 2 out of 3 times. In order to qualify for the semi finals, it is sufficient for India to win 7 of its group matches. What is the probability that India will win the ICC world cup?

a)      (2/3)^10                                 
b)      (2/3)^9 + 8/3 * (2/3)^9 
c)      8/3 * (2/3)^9                          
d)     (2/3)^10 + 8/3*(2/3)^9


Q3) A toy train produces at least 10 different tunes when it moves around a circular toy track of radius 5 meters at 10 meters per minute. However , the toy train is defective and it now produces only two different tunes at random. What are the odds that the toy train produces 4 consecutive music tunes of the same type?

a)      1 in 16 
b)      1 in 4 
c)      1 in 8


Q4) 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)      13                                                         
b)      cannot be determined
c)      3
d)      42                                                                                                                                (solution:c)




Q5) Six friends decide to share a big cake. Since all of them like the cake, they begin quarreling who gets to first cut and have a piece of the cake. One friend suggests that they have a blindfold friend choose from well shuffled set of cards numbered one to six. You check and find that this method works as it should simulating a fair throw of a die. You check by performing multiple simultaneous trials of picking the cards blindfold and throwing a die. You note that the number shown by the method of picking up a card and throwing a real world die, sums to a number between 2 and 12. Which total would be likely to appear more often – 8,9 or 10?

a)      8                                                            
b)      All are equally likely
c)      9
d)     10


  
Q6) One day Alice meets pal and byte in fairyland. She knows that pal  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 Alice – pal. Yesterday was one of those days when I lie byte. Yesterday was one of those days when I lie too. What day is it ?

  1. Thursday                                                       
  2. Tuesday
  3. Monday
  4. Sunday                                                                                                                   (solution:a)
       


Q7) A car manufacturer produces only red and blue models which come out of the final testing area completely at random. What are the odds that 5 consecutive cars of the same color will come through the test area at any one time?

c)      1 in 16                                                             
ci)    1 in 125
cii)  1 in 32                                                            
ciii)1 in 25

Q8) 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 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

Q9) Rearrange the following letters to make a word and choose the category in which it Ms RAPETEKA

            Bird 
            Vegetable   
            City    
            Fruit


Q10) 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                                                                                                                             (solution:b)


Q11) In the reading room of a library, there are23 reading spots. Each reading spot consists of a round table with 9 chairs placed around it. There are some readers such that in each occupied reading spot there are different numbers of readers. If in all there are 36 readers, how many reading spots do not have even a single  reader?

a)       8 
b)      None       
c)      16       
d)     15                                                                                                                                (solution:d)


Q12) Ferrari S.P.A is an Italian sports car manufacturer based in Maranello, Italy. Founded by Enzo Ferrari in 1928 as Scuderia Ferrari , the company sponsored drivers and manufactured race cars before moving into production of street-legal vehicles in 1947 as Feraari S.P.A. Throughout its history, the company has been noted for its continued participation in racing, especially in Formula One where it has employed great success .Rohit once bought a Ferrari . It could go 4 times as fast as Mohan's old Mercedes. If  the speed of Mohan's Mercedes is 46 km/hr and the distance traveled  by the Ferrari is 953 km, find the total time taken for Rohit to drive that distance.

a)      20.72
b)      5.18
c)      238.25  
d)     6.18                                                                                                                             (solution:b)



Q13) 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.

ci)    The first 35 statements are false and the last 35 are false.

(solution:d)



Q14) Middle – earth  is a fictional land inhabited by Hobbits, Elves, dwarves and men. The Hobbits and the Elves are peaceful creatures who prefer slow, silent lives and appreciate nature and art. The dwarves and the men engage in physical games. The game is as follows . A tournol is one where out of the two teams that play a match, the one that loses get eliminated. The matches are played in different   rounds where in every round , half of the teams get eliminated from the tournament. If  there are 8 rounds played in a knock-out tournol how many matches were played?

a)      257  
b)      256 
c)      72 
d)     255                                                                                                                   (solution:d)


Q15) A research lab in Chennai requires 100 mice and 75 sterilized cages for a certain set of laboratory experiments . To identify the mice, the lab has prepared labels with numbers 1 to 100 , by combining tags numbered 0 to 9. The SPCA  requires that the tags be made of toxin-free material and that the temperature of the cages be maintained at 27 degree Celsius. Also , not more than 2 mice can be caged  together and each cage must be at least 2 sq.ft in area. The 5 experiments to be conducted by lab are to be thoroughly documented and performed only after a round of approval by authorities. The approval procedure takes around 48 hours. How many times is the tag numbered '4' used by the lab in numbering these mice?

a)       9            
b)      19      
c)      20    
d)     21                                                                                                                     (solution:b)





Q16)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                                                                                                                (solution:a)



Q17) Consider two tumblers, the first containing one litre of coffee. Suppose you take one spoon of water out of the first tumbler and pour it into the second tumbler. After moving you take one spoon of the mixture from the second tumbler and pour it back into the first tumbler . Which one of the following statement holds now?

          a)  There is less coffee in the first tumbler than water in the second tumbler.

          b)  There is more coffee in the firs tumbler than water in the second tumbler

          c)  There is as much coffee in the first tumbler as there is water in the second tumbler

d)     None of the statements holds true.


Q18) Francois Pachet , a researcher at Sony Computer Science laboratories is also a jazz musician. He decided to build a  robot able to improvise like a pro. Named Continuator, the robot can duet with a live musician in real- time. It listens to a musical phrase and then computes  a complementary phrase with the same playing style. If the cost of making the robot is divided between and then computes a complementary phrase with the same playing style. If the cost of making the robot is divided between materials , labour and overheads in the ratio of 4:6:2.If the materials cost $108. the cost of  the robot is

a)      $270    
b)      $324  
c)      $216 
d)     $ 648                                                                                                                     (solution:b)


Q19) A lady has fine gloves and hats in her closet- 18 blue- 32 red and 25 yellow. 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?

a)      50 
b)      8 
c)      60 
d)     42                                                                                                                           


Q20) A man jogs at 6 mph over a certain journey and walks over the same route at 4 mph. What is his average speed for the journey?

       a) 2.4 mph  
       b)  4 mph 
       c)  4.8 mph
       d)  5 mph                                                                                                                          (solution:d)





Q21) Spores of a fungus, called late blight, grow and spread infection rapidly. These pathogens were responsible for the Irish potato famine of the mid-19th century. These seem to have attacked the tomato crops in England this year. The tomato crops have reduced and the price of the crop has risen up . The price has already gone up to $45 a box from $27 a box a month ago. How much more would a vegetable vendor need to pay to buy 27 boxes this month over what he would have paid last month?

a)      $27   
b)      $ 18  
c)      $45   
d)     $ 486

Q22) Given a collection of 36 points P in the plane and a point equidistant from all points in P, which of the following are necessarily true?
 
  A. The points in P lie on a circle.

  B. The distance between any pair of points in P is larger than the distance between X and a point in P


a)      A and B  
b)      Neither A nor B 
c)      B only  
d)     A only


Q23) In the year 2002, Britain was reported to have had 4.3m closed – circuit television (CCTV) cameras – one for every 14 people in the country . This scrutiny is supposed to deter and detect crime. In one criminal case, the police interrogates two suspects . The ratio between the ages of the two suspects is 6:5 and the sum of their ages is 6:5 and the sum of their ages is 55 years. After how many years will the ratio be 8:7.?

a)      11                      
b)        6                  
c)      10             
d)       5 


Q24) Susan made a block with small cubes of 8 cubic cm volume to make a block 3 small cubes long, 9 small cubes wide and 5 small cubes deep. She realizes that she has used more small cubes than she really needed. She realized that she could have glued a fewer number of cubes together to lock like a block with same dimensions, if it were made hollow. What is the minimum number of cubes that she needs to make the block?

a)      114                   
b)      135               
c)        21           
d)       71


Q25) Alok and Bhanu play the following coins in a circle game. 99 coins are arranged in a circle with each coin touching two other coin. Two of the coins are special and the rest are ordinary. Alok starts and the players take turns removing an ordinary coin of their choice from the circle and bringing the other coins closer until they again form a (smaller) circle. The goal is to bring the special coins adjacent
to each other and the first player to do so wins the game. Initially the special coins are separated by two ordinary coins O1 and O2. Which of the following is true ?

  a) In order to win, Alok should remove O1 on his first turn.

  b) In order to win, Alok should remove one of the coins different from O1 and O2 on his first turn.

   c) In order to win, Alok should remove O2 on his first turn.

e)      Alok has no winning strategy.

Question 1: 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 )?
Answer: 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 1/32
32 will be the answer. (My friends got similar question with "3 times consecutively"; for that the answer would be 8)

Question 2: Peter and Paul are two friends. The sum of their ages is 35 years. Peter is twice as old as Paul was when Peter was as old as Paul is now. What is the present age of Peter?
Luckily, I had this question twice. Initially I left it because of the confusing statement but when I got the same question second time with different names of the friends (Pooja and Prasad) then I gave a little extra time and solved it.
Answer: 20 years. I simply substituted the answers in the statement to find the best fit, because the statement in the question was pretty confusing.

Question 3: The ages of two friends is in the ratio 6:5. The sum of their ages is 66.After how many years will the ages be in the ratio 8:7?
Answer: 12 years.

Question 4: (There was a long story, I'll cut short it). There are 5 materials to make a perfume: Lilac, Balsalmic, Lemon, Woody and Mimosaic. To make a perfume that is in demand the following conditions are to be followed: Lilac and Balsalmic go together. Woody and Mimosaic go together, Woody and Balsalmic never go together. Lemon can be added with any material. (Actually they had also mentioned how much amount of one can be added with how much quantity of the other; but that's not needed for the question.) All of the following combinations are possible to make a perfume except:
1) Balsalmic and Lilac
2) Woody and Lemon
3) Mimosaic and Woody
4) Mimosaic and Lilac
Answer: Mimosaic and Lilac. I have made the question here really easy to understand. But the actual question was in a twisted language and it was difficult to find the answer. It took me some time to get to the answer.

Question 5: A girl has to make pizza with different toppings. There are 8 different toppings. In how many ways can she make pizzas with 2 different toppings.
Answer: 8 * 7 = 56

Question 6: A triangle is made from a rope. The sides of the triangle are 25 cm, 11 cm and 31 cm. What will be the area of the square made from the same rope?
Answer: 280.5625

Question 7: What is the distance between the z-intercept from the x-intercept in the equation ax+by+cz+d=0. (I do not remember the values of a,b,c,d)

Question 8: An athlete decides to run the same distance in 1/4th less time that she usually took. By how much percent will she have to increase her average speed?
Answer: 33.33%

Question 9: A horse chases a pony 3 hours after the pony runs. Horse takes 4 hours to reach the pony. If the average speed of the horse is 35 kmph, what s the average speed of the pony? (This question was really long with loads of irrelevant statement)

Question 10: There is 7 friends (A1, A2, A3....A7). If A1 have to have shake with all with out repeat. How many hand shakes possible?(I dont know the exact question but like this only)
Question 11:  There are two pipes A and B. If A filled 10 liters in a hour B can fills 20 liters in same time. Likewise B can fill 10, 20, 40, 80,160….if B filled in (1/16) th of a tank in 3 hours, how much time will it take to fill completely?
Answer: 7 hours
Question 12: Keywords: Sports readers, 10 tables, 4chairs per table, each table has different number of people then how many tables will left without at least one person?
Ans: 6


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