1. Alok is attending a workshop ‘How to do more with less’ and today’s theme is Working with Fewer digits. The speaker discuss how a lot of miraculous can be achieved if mankind (as well womankind) had only worked with fewer digits. The problem posed at the end of the workshop is ‘How many 7 digit numbers can be formed using the digits 1, 2, 3, 4, 5 (but with repetitions) that are divisible by 4?’ Can you help Alok find the answers?
1. 15625
2. 19531
3. 19532
4. 6250
2. 3 years ago I was 5 times as old as my eldest son. Today I am 3 times his age. How old I am now?
1. 6:00
2. 8:00
3. 19:00
4. 18:00
3. A greengrocer was selling melon at a penny each, plums at 2 for a penny and pears at 3 for a penny. A father spent 7p and got the same amount of each type of fruit for each of three children Jane, Joe and Jill. Jane is three years older than Jill and Joe is exactly half the age of Jane and Jill together. What did each child get?
1. 1 melon, 1 plum, 1 pear
2. 1 melon, 2 plums, 1 pear
3. 1 melon, 3 plum, 2 pear
4. 1 melon, 2 plum, 2 pear
4. 3 years ago Jacob’s age was twice John’s age. 3 years hence Jacob’s age will be 4/3 times the age of John’s. Find Jacob’s present age in binary numbers.
1. 100
2. 1001
3. 110
4. 11
5. A lady has some fine gloves and hats in her closet 19 Blue, 46 Red and 35 Yellows the lights are out and it is totally dark. Inspite of the darkness she can make the difference between a hat and a glove. She takes out and item out of the closet only if she is sure that it is a glove. How many gloves must she take out to make sure she has a pair of each color?
1. 65
2. 83
3. 54
4. 56
6. The New York public library is one of the world’s greatest repositories of books and journals. It has a beautiful reading room facing Manhattan Fifth avenue
5. 5
6. 3
7. 6
8. 4
7. A rope of given length is used to form a triangle of sides 19,15 and 23 cms. If the same rope is used to form a square, what would be the area of such a square?
1. 361.00 sq. cm
2. 14.25 sq. cm
3. 110.25 sq. cm
4. 203.06 sq. cm
8. Some animals show visible behavioral changes that are related to changes in the local whether patterns. A scientist interested in the behaviour of bears, travels one mile due north from his research lab. Here he sees a bear and starts following it for one mile due east before he is able to radio-collar it. After tagging the bear, hear walks one mile due South to return to his research station. What color was the bear?
1. Black
2. Grey
3. Red
4. Blue
9. The IT giant Tirnop has recently crossed a head count of 150000 and earnings of $7 billions. As one of the forerunners in the technology front, Tirnop continues to leasd the way in product and services in India
- 8
- 704
- 11
- 88
10. A group of friends Tom, Teena, Dick, Tiana and Harry and Harriot, go out to a fair 300 meters from the Mc Donalds which is 5 Km away. They see a weighing machine and decide to have some fun. However, the girl refused to step on the weighing machine. So Tom, Dick and Harry way themselves in a particular order. First Tom, Dick and Harry wheigh themselves individually and then Tom and Dick, Dick and Harry, Tom and Harry and then Tom, Dick and Harry together respectively. The recorded weight for the last measure is 197 Kgs. The average of all the 7 measures is.
- 253.29
- 112.57
- 140.71
- 65.67
11. The dynamics of crowd behavior are hard to study because people are not reliable witnesses of their own behavior. Now consider 6 people standing in a que of a super market. You want to predict where behavior based on their age group. You get to know from the super market record that there average age 2 years ago was 41 years. After a while another person joins the queue and the present average age of all the 7 is 39 years. The present age of the last person in queue is.
- 25
- 15
- 27
- 29
12. A thank giving banquet at no. 2 Rictor Street has 49 guests which consisted of 6 statesmen 26 relatives and their families. At the end of the banquet 14 people shake hands with each other, some of which were between the statesmen alone, some between relatives alone and some were between the statesmen and relatives. How many hands shakes were there in total.
- 84.50
- 91.00
- 98.00
- 182.00
13. Middle earth is 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 men engage in physical games. The game is as follows a tournoi is one where out of the two teams that play a match, the one that loses gets eliminated. The matches are played in different round, where every round half of the team get eliminated from tournament. If the there are 7 rounds played, in knock out turnoi, how many matches were played?
- 128
- 56
- 129
- 127
14. In China
- 111
- 11
- 100
- 110
15. 45 people (a1, a2…….a45) meet and shake hands in a circular fashion. In other words there totally 45 handshakes involving the pairs (a1, a2), (a2, a3)……(a44, a45), (a45, a1). Then the size of the smallest set of people such that the rest have shaken hands with atleast one person in the set is.
- 16
- 15
- 14
- 22
16. There are 3 totem poles from timbektube in the metropolitan museum of art. Totem poles are symbolic object carved beautifully from either mahagani or African redwood tree trunks not smaller than two meters. Totem pole Arvind is taller than richy and Jitesh is shorter than Arvind. Which of the following is most accurate?
- Jitesh is as tall as Richy
- Richy is shorter than Jitesh
- It is impossible to tell
- Richy is taller than Ritesh
17. Earl can stuff advertising circulars in to envelopes at the rate of 66 envelopes per minutes and Allen requires a minute and half to stuff the same no. of envelopes. Working together, how long will it take Earl and Allen to stuff 660 envelopes?
- 6 minutes
- 3 minutes
- 5 minutes
- 7 minutes
18. Archi was the son of the Nymph Thetis and Peleus the king of Myrmidons. Zeous and Poseidon had been rivals for the hand Thetis until from Prometheus, the fire bringer warned Zeous of a prophecy that Thetis would bear a son greater than his father. For this reason the 2 Gods withdrew their pursuit and had her wet Peleus. The following statement is another interesting prophecy about the ages of 2 children of Zeous that would hold true at some time during the life time of the children. 3 years ago Ethina age was twice Hellen’s age. 3 years hence Ethina’s age will be 4/3 times the age of Hellen’s. Find Ethina’s present age in binary numbers during the time that statements holds true?
- 11
- 110
- 100
- 1001
- Franky Pachet a researcher at Sony Computer Science Laboratory who is also a a Jazz musician. He decided to built a robot able to improvise like a pronamed continuator, the robot can duet with a live musician in real time. It listens to musical phrase and then computes a complimentary phrase with the same playing style. If the cost of making the robot is divided between materials, labour and overheads in the ratio of 5:6:2. if the material costs $115, the cost of the robot is.
- 253.00
- 747.50
- 299.00
- 249.17
20. In 1911 a French Physicist Paul devised a thought experiment based on Einstien’s Special Relativity. In the experiment, a person makes a journey into space at nearly speed of light and comes back to earth. He finds that he has aged five times less than his twin who stays back on earth for 40 years. This is popularly known as the twins paradox. Now consider the case of Hansel and Gretel, who are not twins five years ago. Hansel was twice as old as was Gretel. If they journey in to space, and automatic clock assists in logging the start time of their journey accurately. If the do not journey in to space, 5 years hence Hansel age will be 4/3 times the age of Gretel. Find Hansel’s age today in binary numbers.
- 101
- 1111
- 1100
- 110
21. 4 years ago Andromeda’s age was twice Achille’s age. 4 years hence Andromeda’s age will be 4/3 times the age of Archlle’s. Find Andromeda’s age in binary numbers.
- 100
- 101
- 1001
- 1100
22. Alice and Bob play the following coins-on-a-stack game. 50 coins are stacked one above the other. One of them is special (gold) and the rest are ordinary coins. The goal is to bring the gold coin to the top by repeatedly moving the topmost coin to the another position in the stack. Alice
- In order to win,
- In order to win,
- In order to win
23. Mr Bean visited a magic shop and bought some magical marbles of different colors along with the other magical items. While returning home whenever he saw a colored light he took out marbles of similar color and counted them so he counted the pink colored marbles and found that he has bought 25 of them. Then counted 11 green marbles and then 36 yellow marbles. He later counted 30 purple colored marbles with him. But when he reached a crossing, he looked at red light and started counting red marbles and found that he had bought 43 red marbles. As soon as he finish counting started raining heavily by the time he reached home he was drenched. After reaching home he found that the Red, Green and Yellow marbles had magically changed color and became white. While other marbles were remain unchanged. It will take one day to regain its color, but be needs to give atleast pair of marbles to his wife now. So how many white marbles he must choose and give his wife to ensure that there is atleast one pair of Red, Yellow and Green marbles?
- 47
- 83
- 44
- 81
24. A race horse starts chasing a wild pony 3 hours after the pony bolts the stable. The pony runs through the entire country of Alberton . Texas jumping over three streams and crossing four 10 meter roads. The race horse finally catches up with the pony after 5 hours by which time the sun had set and the moon was up in the sky for 4 hours. If the average speed of the race horse is 78 kmph. Then the average speed of the wild pony is --------------- kmph.
o 29.25
o 49.75
o 48.75
o 46.80
25. A Greengrocer was selling melon at a penny each. Dates at 2 for a penny and bananas 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. Jane, Joe and Jill. Jane is three years older then Jill and Joe is exactly half of Jane and Jill together. What did each child get?
o 1 melon, 2 date’s,2 banana’s
o 1 melon,3 date’s.2 banana’s
o 1 melon,2 date’s,1 banana’s
o 1 melon,1 date’s,1 banana’s
26. Earl can stuff advertising circulars into envelops at the rate of 39 envelops per minute and Ellen requires a minute and a half to stuff the same number of envelops. Working together. How long will it take earl and Ellen to stuff 325 envelops.
o 2 Minutes
o 6 minutes
o 4 minutes
o 5 minutes
27. 3 years ago I was five times as old as my eldest son. Today I am 3 times his age. How old am I now? Express my age in binary number.
- 10010
- 1000
- 10011
- 110
28. A rope of given length is used to from a triangle of sides 23,11 and 31 cms. If the same rope is used to from a squire, What would be the area of such a squire?
- 469.44 sq.cm
- 182.25 sq.cm
- 16.25 sq.cm
- 264.06 sq.cm
29. Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 and 18, the number of points equidistant from all the 3 lines is
- 1
- 4
- 0
- 3
30. 9 years ago I was five times as old as my eldest son. Today I am 3 times his age. How old am I now?
- 18.00
- 55.00
- 20.00
- 54.00
31. 9 years ago, Andromeda’s age was twice Achilles’ age. 9 years hence, Andromeda’s age will be 4/3 times the age of Achilles’. Find Andromeda’s present age in binary numbers.
- 11000
- 1010
- 11011
- 1001
32. A man has some socks in his drawer – 17 identical blue, 49 identical black. The lights are out and it is totally dark. How many socks must he take out to make out to make sure he has a pair of each colour?
o 66
o 72
o 57
o 59
33. Given 3 lines in the plane such that the points of intersection form a triangle with sides of length 20, 20 & 7, the no. of points equidistant from all the 3 lines is
- 3
- 0
- 4
- 1
34. 4 years ago I was five times as old a my eldest son, Today I am 3 times his age. How old am I now?
- 8
- 25
- 10
- 24
35. Fill dirt or fill soil is usually the sus soil removed from an exudation site and is used to level a place or create cutificial mounds. The average density is 3gm/sq.cm of sus soil removed from a site and if it ways 600 kgs. How many Hemispherical pits each of volume 130 Cubic centimeter. Can this sus soil fill?
o 1539
o 1537
o 769
o 1538
36. A Man has some socks in his drawer – 15 identical blue, 29 identical red, and 42 identical black, The lights are out and it is totally dark. How many socks must he take out to make sure he has a pair of each colour?
- 73
- 39
- 44
- 37
37. In the reading room of a library, there are 10 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 are 10 readers, how many reading spots there are different numbers of readers. If in all there are 10 readers. How many reading spots do not have even a single reader?
- 4
- 5
- 6
- 3
38. Some animals show visible behavioral changes that are related to change in the local weather patterns. A scientist, interested in the behavior of bears, travels one mile due North from his research laboratory. Here he see a bear and starts following it for one mile due east before he is able to radio – collar it. After tagging the bear. He walks one mile due South to return to his research station. What color was the bear?
- White
- Brown
- Black
- Grey
39. There are two boxes, one containing 10 red balls and the other containing 31 yellow balls. You are allowed to move the balls Between the boxes so that when you choose a box at random from the chosen box. The probability of getting a red ball is maximized. This maximum probability is
- 61
- 24
- 12
- 50
40. 51 people (a1,a2,…….,a51) meet and shake hands in a circular fashion. In other words, there are totally 51 handshakes involving the pair, (a1, a2), (a2, a3),…………….., (a50, a51), (a51, a1). Then the size of the smallest set of people such that the rest have shaken hands with at least one person in the set is
- 16
- 25
- 17
- 18
41. Doller stores, the stores which sell all of their merchandise for $1, have long had a reputation for being down – at- the – heels places to buy cheap, generic goods. While keeping their low prices, they are revamping their image and climbing the respectability ladder, in some cases to the fortune 500. One such dollar store which recently made an entry in the fortune list which has 2500 stores all over the United States. Said that they had a 2 percent increase in the number of transaction in 2008. Compared with the previous year to 37 million. The company made a profit of $20 million this year. What is the average profit per store?
o 80 thousand $
o 8.00 thousand $
o 24.00 thousand $
o 14.80 Thousand
42. The thousand Pillar Temple of Hyderabad was built by the Kakatiyans of Chalukyan dynasty in the 12th century. Each pillar has carvings made og black monolithic rocks of basalt which are polished to give it a brilliant look. One sunny morning, three tourists visit the temple. Sandeep is taller than Riche and taller than two of the thousand pillars, and Deepam is shoter than Sandeep and three pillars. Which of the following statements would be most accurate?
- Riche is shorter than Deepam
- It’s impossible to tell
- Riche is taller than Deepam
- Deepam is as tall as Riche
43. 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 remors to be true and that in a match between Ghana and Boliva. Ghana the stronger team has a probability of 10/11 of winning the game. What is the probability that paul will correctly pick the winner of the Ghana – Bolivia game?
- .91
- .01
- .83
- .17
44. Given 3 lines in the plain such that points that point of intersection forms a triangle of sides length 20,20 & 16. The no of points equidistant from all the 3 plane is 1,3,0,4
45. There are two boxes one containing 26 red balls and other containing 24 green balls. You are allowed to move the balls between the boxes so that you choose at a box random from he chosen box the probability of getting red ball is maximized. The maximnum probability is
.26, .76, .50, .52
46. A man has some soxes in his drawer 18 identicak blue, 47 identical red, 40 identical black. The lights are out and it is totally dark. Hw many socks he takes out to make sure that he has a pair of each colour?
55, 89, 57, 65
47. 7yrs ago Andro age was twice as Achillies age. 7 Andro’s age is 4/3 times the age of Achillies. Find the Andor’s age in binary nos
10010, 1000, 10101, 111
48. The New Yourk Public Library is the one of the oldest repocitories of books and journals.It has a beautiful reading room facing Manhauttan’s famous fifth Avanue. In the reading room there are 10 reading spots. Each spot is consist of a round table with 4 chairs placed around it. There are some readers suc h that occupied reading spots and there are different no of readers. If in all are there 10 readers how many reading spots are empty?
3,5,4,6
49. Given a collection of points P in the Plane, a 1-set is a point in P that can be seperated from the list from the line i.e the point lie each side of the line while the other lie on the othe side of the line.the no of 1-sets P is denoted by n1(P). The maximum value of n1(p) over all configarations of P of the 10 points in the P is 9,10,11,5
50. On a plannet Oz there are 8 days in a week, Sunday – Saturday and another day is called Oz day. There are 36 hrs in a day and each day has 90 mts while each minute has 60 sec. As on earth the hour hand covers the dial twice every day. Find the approximate angle between the hands on clock on Oz when the time is 11:40am 69 degrees, 86 degrees, 231 degrees, 51 degrees
51. A raise horse starts chazing a wild pony after 2hrs aftere the pony bolts and stable. The pony runs through the entire country of Albetron, Texas jumping over 3 streams and crossing 4 mtrs roads. The race hourse finally catches up with the pony after 4hrs by which the sun had set and moon was up in the sky for 4hrs. if the average speed of the race hourse is 77kmph, then the average spped of the wild pony is ---------- Kmph 25.67, 51.33, 52.33, 38.50
52. 17 people ( a1,a2------ a17) are invited to a party. The host & hostess shake hand with an invitee & also with each other. The invitee shake hands in a circular fassion i.e pairs ( a1,a2)(a2, a3)------(a16,a17)(a17,a1) shake hand and total of 52 shake hands. Let S be the people such that every pair in S shake hands. The size of the S is 4,1,2,3
53. A lady has some fine gloves & hats in her closet 18blue, 36 red & 43 yellow. Ther lightrs are oput and it is totally dark.in spite of darkness , she can make out the difference between the hat and a glove. She take out an item from the closet only of she is sure that it is a glove.How many gloves she take out to make sur that she has a pair each clour?
54 B. 44 C. 46 D 81
54. 8yrs ago I was five times as old as my elder son. Today I am 3times his age. How old am I today? Express my age in Binary nos?
110001, 110000, 10010, 10000
55. The difference between the ages of my two granchildren are 3. My eldest grandchild is 3times older than my youngest grand child and my younest grandchild’d age is 2 times more than the ages of my two youngest grand children added together. My old is my youngest grandchild?
10, 13, 15, 12
56. A toy trainproduces 10 different tunes wn it moves around a circular track of radius 5mtrs, at 10mtrs per mter per minute.However the toy train is defective and it nw produces only two different tunes at random. What are the odds that the toy train produces 6 concecutive mucic of the same typr(1 in ----)? 64, 6, 36, 32
57. 51 people ( A1, A2-----A51) meet and in a shake hand in a circulat fassion. In another words totally 51 shake hands involving in the pairs (a1,a2), (a2,a3)-----(a50,A51), (a51, a1).The size of the smallest set of people such that the rest of the people shaken hand at least one person in the set is
16, 17, 25, 18
58. A green groces was selling mellon a penny each, date for 2 at a penny and for pear 3 at a penny each. A father spend 7p and got same amount ofeach fruit for each of his three children Jane, Joe and Jill. Jan is three yrs older than Jill and Joe is exactly half age of Jill. Jan is three yrs older than Jill and Joe is exactly half of the age of Jan and Jill together. What did each child get?
1. 1melon, 1 date, 1pear
2. 1melon, 1date, 2 pear
3. 1melon, 3 date, 2pears
4. 1melon, 2date, 1pear
59. One day Snowwhite meets Pal and Rat in the Wonderland. She knows that Pal lies on Monday, Tuesday, Wednesday & tells the truth on other days of week. Now, they make following statements to Snowwhite – Pal, yesterday wwasone of those days when I lie. Rat- yesterday was one of those days when I lie too. What day is it? Thursay, Sunday, Monday, Tuesday
60. A cyclist buys a cycle for 43 pounds paying with a 54 Pound cheque. The seller changes the cheque next door and gives the cyclist change. The cheque bounces so the seller paid his neighbor back. The cycle cost the seller 19 Pound. How much did the seller loose.
· 54 Pounds
· 19 Pounds
· 62 Pounds
· 30 Pounds
