Important aptitude questions which are asked in the Infosys Placement Quantitative aptitude logical reasoning data interpretations data sufficiency

1. QA/LR
Direction for Question 1-5: The problems below contain a question and’ two statements giving
certain data. You have to decide whether the data given in the statements are sufficient for
answering the questions. The answer is correct.
(1) If Statement I alone is sufficient but Statement II alone is not sufficient.
(2) If Statement II alone is sufficient but Statement I alone is not sufficient.
(3) If both statements I and II together are sufficient but neither of statements alone is sufficient.
(4) If each statement alone is sufficient.
(5) If Statement I and II together are not sufficient.
1. Ten children are sitting at a table. What is the average age of 10 children?
I. The average age of 6 youngest children is 12 years.
II. The average age of 4 older children is 16 years.
2. What are the speeds of two trains 80 yards and 85 yards long respectively? Assume that former is faster
than later.
I They take 7.5 seconds to pass each other when running in the opposite direction.
II They take 37.5 seconds to pass each other when running in the same direction.
3. What is the probability that 2 men and one woman chosen to form a committee are all Indians?
I. There are 4 men and 3 women in all.
II. There are 3 Indians in all.
4. How many right circular cylinders of equal size can be made from a metal of volume 200 cm3 .
I The height of each cylinder is equal to its diameter.
II The slant surface area of each cylinder is 45 sq.cm.
5. A certain 4-litre solution of vinegar and water consists of x litre of vinegar and y liters of water. How man
liters of vinegar do the solution contain?
I. x/4=3/8
II. y/4=5/8 '
6. Every day a cyclist meets a train at a particular crossing. The road is straignt before the crossing and both are travelling
in the same direction. Cyclist travels with a speed of 10 Kmph. One day the cyclist comes late by 25 min. and meets the
train 5km before the crossing. What is the speed of the train.
7. On a certain assembly line, the rejection rate for Hyundai i10s production was 4 percent, for Hyundai i20s
production 8 percent and for the cars combined 7 percent. What was the ratio of Hyundai i10 production?
a. 3: 1 b. 2: 1 c. 1: 1 d. 1: 2

2. 8. X takes 4 days to complete one-third of a job, Y takes 3 days to complete one-sixth of the same work and Z
takes 5 days to complete half the job. If all of them work together for 3 days and X and Z quit. How long will it
take for Y to complete the remaining work done?
a. 6 days b. 7 days c. 5.1 days d. 8.1 days
9. One day, Esha started 30 minutes late from home and reached her office 50 minutes late, while driving 25%
slower than her usual speed. How much time in minutes does Esha usually take to reach her office from home?
a. 20 b. 40 c. 60 d. 80
10. Three containers A, B and C are having mixtures of milk and water of 1:5, 3:5, 5:7 respectively. If the
capacities of the containers are in the ratio 5: 4: 5, find the ratio of milk and water, if all the three containers
are mixed together.
a. 53: 115 b. 53: 113 c. 54: 115 d. 54: 113
11. A conical tent is to accommodate 10 persons. Each person must have 6 sq meter space to sit and 30 cubic
meter of air to breathe. What will be the height of the cone?
a. 150 m b. 37.5 m c. 15 m d. 75 m
12. George and Mark can paint 720 boxes in 20 days, Mark and Harry in 24 days and Harry and George in 15
days. George works 4 days, Mark for 8 days and Harry for 8 days. The total number of boxes pained by them is
a. 252 b. 516 c. 348 d. 492
13. When Usha was thrice as old as Nisha, her sister Asha was 25. When Nisha was half as old as Asha, then
sister Usha was 34. Their ages add to 100. How old is Usha?
a. 37 b. 44 c. 45 d. 40
14. In 4 years, Raj’s father age twice as Raj, two years ago, Raj’s mother’s age twice as Raj. If Raj is 32yrs old in
eight yrs from now, what is the age of Raj’s mother and father?
a. 46, 50 b. 44, 50 c. 46, 52 d. 44, 52
15. A man has job, which requires him to work 8 straight days and rest on the ninth day. If he started wirk on
Monday, find the day of the week on which he gets his 12th rest day.
a. Thursday b. Wednesday c. Tuesday d. Friday
16. The average of the temperature of Tuesday, Wednesday and Thursday was 37 C. The average temperature
of Wednesday and Thursday and Friday was 38 C. If the temperature on Friday was 39 C find the temperature
on Tuesday.

3. a. 37.33 b. 38.33 c. 36 d. None of these
17. Joke is faster than Paul. Joke and Paul each walk 24 Km. The sum of their speed is 7 km per hour. And the
sum of times taken by them is 14 hours. Then, Joke speed is
a. 3 km/hr b. 4 km/hr c. 5 km/hr d. 7 km/hr
18. Arun makes a popular brand of ice cream in a rectangular shaped bar 6 cm long, 5 cm wide and 2 cm thick.
To cut costs, the company had decided to reduce the volume of the bar by 19%. The thickness will remain
same, but the length and width will be decreased by some percentage. The new width will be:
a. 5.5 b. 4.5 c. 7.5 d. 6.5
19. There are 100 wine glasses. I offered my servant to 3 paise for every glass to be delivered safely and forfeit
9 paise for every glass broken. At the end of day he received Rs. 2.40. How many glass did he break.
a. 20 b. 73 c. 5 d. 8
20. The average mark obtained by 22 candidates in an examination is 45. The average of the first 10 is 55 while
the last eleven is 40. The marks obtained by the 11th candidate are:
a. 0 b. 5 c. 10 d. 15
Directions: read the following information and answer the questions that follow:
i) Eight persons A, B, C, D ,E, F, G & H are seated around a circular table facing the centre.
ii) C and E are not adjacent to each other.
iii) B is on the left of E.
iv) H is on right of D.
v) There are three persons between B & H.
vi) A is adjacent to F.
vii) F is on the left of C.
Questions:
21. Assuming A to be at the first position and moving clockwise, who occupies the sixth position?
a) B b) G c) C d) Can’t be determined e) None of these
22. Which of the following statements is true?
a) C is second to the right of E.
b) A is on the immediate right of F.
c) E is on the immediate left of D.
d) B is on the immediate right of C.
e) None of these.
23. Which of the following is an incorrect pair of persons seated opposite each other?
a) EA b) DC c) BA d) Can’t be determined e) None of these

4. 24. If each person interchanges his or her position with the person seated opposite, who will be on the right of
D?
a) E b) F c) G d) D e) None of these
25. If A interchanges his position with D, and so do H & C, which of the following is true?
a) H is second to the left of E
b) B & A are opposite to each other
c) F is on the immediate left of C
d) A is on the immediate left of H
e) None of these
Directions: Study the following information carefully and answer the questions given below:
Six girls A, B, K, D , E and P are standing in a row. B is between D and P. A does not stand next to either P or D. K
does not stand next to D. E stands between A and K.
26. P stands between
a) B and K
b) E and A
c) D and B
d) A and K
e) Can’t be determined
27. Who occupy the extreme ends of the row?
a) D and E
b) D and A
c) A and P
d) B and E
e) None of these
28. K stands between
a) P and B
b) P and D
c) P and E
d) E and A
e) None of these
Answers the question in which conclusion follows on the basis of the statement:
29. Statements: Some hills are rivers. Some rivers are deserts. All deserts are roads.
Conclusions:
1. Some roads are rivers.
2. Some roads are hills.
3. Some deserts are hills.

5. a. None follows
b. Only I follows
c. Only I and II follow
d. Only II and III follow
e. All follow
Directions (Question 30-32) : Read the following information carefully and answer the questions given
below it. IV.
i) There are six friends A,B,C,D,E and F
ii) Each one is proficient in one of the games, namely Badminton, Vollyball, Cricket, Hockey, Tennis and Polo
iii) Each owns a different coloured car, namely yellow, green, black, white, blue and red.
iv) D plays Polo and owns a yellow coloured car
v) C does not play either Tennis or Hockey and owns neither blue nor yellow coloured car
vi) E owns a white car and plays Badminton vii) B does not play Tennis, he owns a red coloured car.
viii) A plays Cricket and owns a black car
30. Who plays Volleyball ?
A) B B) C C) F D) Data inadequate E) None of these
31. Which coloured car F owns ?
A) Green B) Blue C) Either Green or Blue D) Data inadequate E) None of these
32. Which of the following combinations of colour of car and game played is not correct ?
A) Yellow - Polo
B) Green - Tennis
C) Black - Cricket
D) Red- Hockey
E) None of these
33. P, Q, R and S are playing a game of carrom. P, R, and S, Q are partners. S is to the right of R who is
facing west. Then Q is facing ?
(A) North (B) South (C) East (D) West (E) None of these
34. A clock is so placed that at 12 noon its minute hand points towards north-east. In which direction does its
hour hand point at 1.30 p.m?
(A) North (B) South (C) East (D) West (E) None of these
35. A man walks 30 metres towards South. Then , turning to his right, he walks 30 metres . Then turning to
his left, he walks 20 metres. again he turns to his left and walks 30 metres . How far is he from his initial
position?
A. 20 metres
B. 30 metres
C.60 metres
D. 80 metres
E None of these

6. 36. By what percentage is average price per hanky in 2004 more or less than average price per hanky in
2003
(a) 5% (b) 2.5 % (c) 8% (d) Cannot be Determined
37. The difference between total number of items lost and found in both the years is
(a) 1435 (b) 1937 (c) 1235 (d) 1538
38. Which of the following articles can be considered to be most expensive in the year 2003?
(a) Handbag (b) Perfume (c) Make-up Kit (d) talcum Powder
39. How many Lost and Found articles are showing a decreasing trend both number wise and value-wise
from year 2003 to year 2004 in the above table?
(a) 3 (b) 4 (c) 5 (d) Cannot be Determined
Directions for questions 40-41:
A survey on a sample of 25 new cars being sold at a local auto dealer was conducted to see which
of the three popular options – air conditioning, radio and power windows – were already installed.
The survey found:
♦ 15 had air conditioning
♦ 2 had air conditioning and power windows but no radios

7. ♦ 12 had radio
♦ 6 had air conditioning and radio but no power windows
♦ 11 had power windows
♦ 1 had radio and power windows but no air conditioning
♦ 3 had all three options. 40. What is the number of cars that had none of the options?
(a) 4 (b) 3 (c) 1 (d) 2
41. How many cars have exactly one of the three options?
(a) 8 (b) 7 (c) 11 (d) None of these
42. If you were born on 24th May 1997, which was a Sunday, then on which day of the week does your birthday fall in
1993?
1) Monday
2) Wednesday
3) Thursday
4) Saturday
5) Can’t say
43. If 1st April, 2003 was Monday, then which day of the week will 25th December of the same year be?
1) Tuesday
2) Wednesday
3) Thursday
4) Friday
5) Sunday
44. Which year will have the same calendar as that of 2005?
1) 2007 2) 2011 3) 2016 4) 2021 5) 2024
45. Which of the following cannot be the last day of a century?
1) Monday
2) Wednesday
3) Thursday
4) Friday
5) Sunday
46. Which day of the week was 18th May’ 1976?
1) Monday
2) Tuesday
3) Wednesday
4) Saturday
5) Sunday
47. On which dates of October, 1994 did Monday fall?
1) 4, 11, 18, 25
2) 2, 9, 16, 23
3) 1, 8, 15, 22
4) 3, 10, 17, 24, 31
5) 5, 12, 19, 26
48. What will come in place of question mark (?) in the following equation? of

8. 168 ? 15 ÷ 5 +? = 549 ÷ 9 + 235
1) 189
2) 107
3) 174
4) 296
5) None of these
49. Four of the following five parts numbered (1), (2), (3), (4), and (5) are exactly equal.
Which part is not equal to the other four parts? The number of that part is your answer.
1) 2x (x + 5) + 12
2) 2x (x + 3) + 3 (x + 4) + x
3) (x + 3)^2 + (x + 1) (x + 3)
4) (x + 1 ) (2x + 3) + 2 (x + 3)
5) 2 (x + 1) (x + 3) + 2 (x + 3)
50. 12 men can complete a piece of work in 4 days, while 15 women can
complete the same work in 4 days. 6 men start working on the job and after
working for two days, all of them stop working. How many women should be
put on the job to complete the remaining work, if it is to be completed in 3
days?
1) 15 2) 22 3) 18 4) Data inadequate 5) None of these
51. A shopkeeper sells milk which contains 5% water. What quantity of pure
milk should be added to 2 liters of milk (containing 5% water) so that
proportion of water becomes 4%?
1) 100 ml 2) 250 ml 3) 400 ml 4) 350 ml 5) None of these
52. 'A' and 'B' started a business in partnership investing Rs 20000/- and Rs
15000/- respectively. After six months 'C' jointed them with Rs 20000/-.
What will beB's share in the total profit of Rs 25000/- earned at the end of
two years from the starting of the business?
1) Rs 9000/-
2) Rs 10000/-
3) Rs 7500/-
4) Rs 9500/-
5) Rs None of these

10. 57. Which of the following will come in place of (d)?
1) 36.25 2) 33.25 3) 26.75 4) 32.75 5) None of these
58. Which value of 'x' satisfies the inequality
6x^2 - 5x > 2x^2 - 4x + 5?
1) x > 1.25; x < -1
2) -1.25 < x < 1
3) x = 1.25 or 1
4) -1.25 < x < 1
5) None of these
59. Arrange the letters of word AUCTION in such a way that the vowels always occur together. Find
the number of ways.
1) 576 2) 48 3) 144 4) 30 5) None of these
60. 2 metres broad pathway is to be constructed around a rectangular plot. The area of the plot is 96
sq.m. The cost of construction is Rs 50 per sq. metre. Then find the total cost of construction
1) Rs 4,800 2) Rs 4,000 3) Rs 2400 4) Rs Data inadequate 5) None of these
61.Mr. A lends 40% of a sum at 15% pa, 50% of the rest sum at 10% pa and the rest at 18% pa rate
of interest. What would be the rate of interest if the interest is calculated on the whole sum?
1) 13.4% pa 2) 14.33% pa 3) 14.4% pa 4) 13.33% pa 5) None of these

11. 62. A sum of Rs 5000/- amounts to Rs 6050/- in two years at compound interest. What is the rate of
interest?
1) 15% pa 2) 13% pa 3) 11% pa 4) 21% pa 5) None of these
Directions (Q. 63-67): Three statements follow below the question asked. How many statement (s) would
be required to answer the question from the options given below?
63. By selling an article what is the profit percent gained?
(A) 5% discount is given on list price.
(B) If discount is not given 20% profit would be gained. `
(C) The cost price of the article is Rs 5000/-
1) Only A and B
2) Only A and C
3) Only B and C
4) All A, B and C together
5) None of these
64. What is the present age of father?
(A) Difference in ages of father and son is 24 years.
(B) Present age of son is of present age of father.
(C) After 6 years from now, the age of son will be of father's age.
1) Only A and B
2) Only B and C
3) Only A and C
4) All A, B and C are together required
5) Any two of the statements are required to answer the question.
65. What is the cost of fencing a rectangular plot?
(A) Length of the plot is twice its breadth.
(B) Area of the plot is 288 square metres.
(C) Cost of fencing is Rs 4/- per metre.
1) B and C only
2) A and C only
3) A and B only
4) All the three statements A, B and C are required to answer the question
5) Question cannot be answered even with all the three statements together
66. What is the length of the train?
(A) The train crosses a signal pole in 18 seconds.
(B) Train crosses a 200 m platform in 30 seconds.
(C) Speed of the train is 60 kmph.
1) A and C only
2) B and C only

12. 3) C and A or B only
4) A or B only
5) None of these
67. What will be the compound interest earned on an amount of Rs 5000/- in two years?
(A) The simple interest on the same amount at the same rate of interest in five years is Rs 2000/-
(B) The compound interest and the simple interest earned in one year are the same.
(C) The amount becomes more than double on compound interest in 10 years.
1) A and B only
2) A only
3) B and C only
4) A and C only
5) None of these
DI

13. Directions : Refer to the pie-chart and the table given below and answer the questions that follow.
1. The expenditure on which of the following advertising categories was equal to one-fourth of that on
magazines (approximately) for the year 2000?
a. Newspapers
b. Local Radio
c. Network
d. Local TV
2. What was the average advertising expenditure (in $ mn) for the years in which the expenditure was less than
that seen during 1992?
a. 5455
b. 5215
c. 5363
d. 5520
3. From 1993 to 2000, the advertising expenditure increased by
a. 108% b. 74% c. 85% d. 65%
4. For how many of the seven advertising categories was the amount spent in 2000 more than one-third of the
total advertising expenditure in 1995?

14. a. One b. Two c. Three d. Four
5. For the given period, the advertising expenditure increased by more than 10% over the previous year in case
of how many years?
a. One b. Two c. Three d. Four
6. What was the amount spent on radio advertising (in $ mn) in 2000?
a. 6.7 b. 672 c. 5.4 d. 540
7. If the advertising expenditure on newspapers increases by $ 1.5 mn, then what percentage would it be of the
annual expenditure in 2001?
a. 20% b. 24% c. 16% d. Data Insufficient
8. For how many years was the annual expenditure less than the average annual expenditure?
a. 3 b. 4 c. 7 d. 8
Directions: Read the information given below and answer the questions that follow
A survey of 200 people in a community who watched at least one of the three channels – BBC, CNN and DD
showed that 80% of the people watched DD, 22% watched BBC and 15% watched CNN.
9. What is the maximum percentage of people who can watch all the three channels?
a. 12.5% b. 8.5% c. 15% d. Data insufficient
10. If 5% of people watched DD and CNN, 10% watched DD and BBC, then what percentages of people watched
BBC and CNN only?
a. 2% b. 5% c. 8.5% d. Cannot be determined
Directions: Read the information given below and answer the questions that follow
A Company sold 1, 20,000 trucks in 1993, a 20% increase over 1992. Its average price per truck was Rs. 3 lakhs
in 1993, whereas total sale in 1992 were Rs. 27,00 crores (100 lakhs = 1 crore). Its market share however
declined to 60% in 1993, almost a 10% decline from its market share of 1992. In 1994, the company expected
the market to grow by 25% and its market share to remain steady at 60%. It hoped to increase total sales to Rs.
4,500 crores in 1994. (All answers are to be approximated)

15. 11. In 1992, the total market (number of trucks) was
a. 1,00,000 b. 1,75,000 c. 1,80,000 d. 1,50,000
12. The average price per truck (Rs. lakhs) in 1994 was (expected)
a. 2.7 b. 2.9 c. 3.3 d. 3
13. In 1994, the total market is expected to be
a. 2,17,000 b. 2,25,000 c. 2,50,000 d. 2,70,000
14. The expected change in price in 1994 over 1992 is
a. 12.33% increase
b. 11.5% decrease
c. 11.11% increase
d. 12.5% increase

16. Note: Assume that Rupee Earned = Rupee Spent, i. e., expenditure is equal to income.

17. 15. If debt service ratio = (debt servicing cost) / (national income), then by what % should national income rise
so as to bring the debt service ratio to 7.5%?
a. 6.7% b. 29.67% c. 11.2% d. 25.32%
16. If it is known that out of total external borrowings, 65% is spent on industry, 28% in defence, and the rest is
debt servicing, then what is the component of foreign in industrial development?
a. 74% b. 53% c. 42% d. 27%
17. If the total collection by way of direct taxes in 1999-2000 was estimated at Rs. 123,000 million, then how
much extra money was pumped into the agricultural sector during 1999-2000 (in Rs. million)?
a. 20,000 b. 47,000 c. 61,500 d. 72,000
18. If in the year 2000-01, earning and expenditure remain the same and internal borrowings are reduced by
50%, then by how much percent should other resources increase collectively?
a. 10.2% b. 8.5% c. 13% d. 18%
19. If income earned by ‘customs’ increase by 70% and income spent on the ‘others’ decreases by 30%, then
find the different between the new percentages of the two categories?
a. 15% b. 40% c. 33% d. 12%
Data Sufficiency
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
20. In a group of 150 students, what is the number of girls?
1) Each girl was given 50 paise. Each boy was given 25 paise to purchase goods totaling Rs. 49
2) Girls and boys were given 30 paise each to buy goods totaling Rs. 45
21. In a football match, at the half-time, Club A was trailing by three goals. Did it win the match?
1) In the second half Club A scored 4 goals
2) The opponent scored 4 goals in the match.
22. If vmt ≠ 0, is v2m3t-4 > 0?
(1) m > v2
(2) m > t-4
23. Tom, Jane, and Sue each purchased a new house. The average (arithmetic mean) price of the three houses
was $120,000. What was the median price of the three houses?
(1) The price of Tom’s house was $110,000.
(2) The price of Jane’s house was $120,000.

18. 24. If the units digit of the three-digit positive integer k is nonzero, what is the tens digit of k?
(1) The tens digit of k + 9 is 3.
(2) The tens digit of k + 4 is 2.
Directions: Read the information given below and answer the questions that follow
25. Of every dollar received by the federal government, how much (in cents) is from coporate
sources?
1. 32 2. 70 3. 30 4. 35 5. 29
26. what percentage of the federal revenue is derived from borrowings?
1. 0.2% 2. 0.02% 3. 2.7% 4. 1.2% 5. 2.5%
Directions: Read the information given below and answer the questions that follow
DIRECTIONS: The following question are based on the bellow table, which shows per capita Mean
Expenditure, Per capita Food expenditure, Number of Households and Per capita cereal
consumption, in both quantity and value, for different expenditure classes of rural India. The
sampled 41597 households are divided into 12 expenditure classes, starting from less than Rs.65
per month per capita and ending at more than Rs.385 per capita per month.

19. 27. According to the results of this sample survey, what is the proportion of total expenditure on
food to total expenditure for all the sampled households taken together?
1. 58% 2. 36.7% 3. 63.3% 4. 71% 5. Cannot be determined
28. What is the difference, approximately, between the gross expenditure of the sampled
households in the Rs.95-110 expenditure class and in the Rs.180-215 expenditure class?
1. 372000 2. 448000 3. 496000 4. 93.8 5. 52.3
Directions: There are six steps that lead from the first to the second floor. No two people can be on the same
step. Mr. A is two steps below Mr. C and Mr. B is a step next to Mr. D. Only one step is vacant ( No one
standing on that step). Denote the first step by step 1 and second step by step 2 etc.
29. If Mr. A is on the first step, Which of the following is true?
(a) Mr. B is on the second step
(b) Mr. C is on the fourth step.
(c) A person Mr. E, could be on the third step
(d) Mr. D is on higher step than Mr. C.
30. If Mr. E was on the third step & Mr. B was on a higher step than Mr. E which step must be vacant (a) step 1
(b) step 2
(c) step 4
(d) step 5
(e) step 6
31. If Mr. B was on step 1, which step could A be on?

20. (a) 2&e only
(b) 3&5 only
(c) 3&4 only
(d) 4&5 only
(e) 2&4 only
32. If there were two steps between the step that A was standing and the step that B was standing on, and A was
on a higher step than D , A must be on step
(a) 2 (b) 3 (c) 4 (d) 5 (e) 6
33. Which of the following is false?
i. B&D can be both on odd-numbered steps in one configuration
ii. In a particular configuration A and C must either both an odd numbered steps or both an even-numbered steps
iii. A person E can be on a step next to the vacant step.
(a) i only (b) ii only (c) iii only (d) both i and iii
34:

22. SECTION: A
1. A bird keeper has got P pigeon, M mynas and S sparrows. The keeper goes for lunch leaving his assistant to watch the
birds. Suppose p=10, m=5, s=8.
a.) When the bird keeper comes back, the assistant informs that x birds have escaped. The bird keeper exclaims oh no! all
my sparrows are gone. How many birds flew away?
b.) when the bird keeper come back, the assistant told him that x birds have escaped. The keeper realised that atleast 2
sparrows have escaped.
What is minimum no of birds that can escape?
2. Three boys and three girls brought up together. Jim, Jane, Tom, Virgina, Dorthy, XXX. They marry among themselves to
form three couples. Conditions are:-
i) Sum of their ages would be the same.
ii) Virgina was the oldest.
iii) Jim was dorthy's brother.
iv) Sum of ages Jane+Jim and Tom+dorthy is same.
Give the three couples.
3. If the digits of my present age are reversed then I get the age of my son. If 1 year ago my age was twice as that of my son.
Find my present age.
4. There are 6561 balls out of them 1 is heavy. Find the min. no. of times the balls have to be weighed for finding out the
heavy ball.
5. If I walk with 30 miles/hr I reach 1 hour before and if I walk with 20 miles/hr I reach 1 hour late. Find the distance
between 2 points and the exact time of reaching destination is 11 am then find the speed with which it walks.
6. On the Island of imperfection there is a special road, Logic Lane, on which the houses are usually reserved for the more
mathematical inhabitants. Add, Divide and Even live in three different houses on this road (which has houses numbered
from 1-50).One of them is a member of the Pukka Tribe, who always tell the truth. Another is a member of the Wotta Tribe,
who never tell the truth and the third is a member of the Shalla Tribe, who make statements which are alternately true and
false, or false and true. They make statements as follows:-
ADD:
1. The number of my house is greater than that of Divide's.
2. My number is divisible by 4.
3. Even's number differs by 13 from that of one of the others.
DIVIDE :
1. Add's number is divisible by 12.
2. My number is 37.
3. Even's number is even.
EVEN :
1. No one's number is divisible by 10.
2. My number is 30.
3. Add's number is divisible by 3.
Find to which tribe each of them belongs, and the number of each of their houses.
7. A family I know has several children. Each boy in this family has as many sisters as brothers but each girl
has twice as many brothers as sisters. How many brothers and sisters are there?

23. 8. If A,B,C,D,E are 5 members of a family.4 of them give true statements : 1. E is my mother in law 2. C is my son in law's
brother 3. B is my father's brother 4. A is my brother's wife
Who made the statement and what are the relations among them.
9. The product of 5 different temperatures is 12. If all of them are integers then find all the temperatures.
10. There are 9 cities numbered 1 to 9. From how many cities the flight can start so as to reach the city 8 either directly or
indirectly such the path formed is divisible by 3. eg. 1368-Flights goes through 1-3-6-8.
11. Replace each letter by a digit. Each letter must be represented by the same digit and no beginning letter of a word can be
0.
O N E
O N E
O N E
O N E
-------
T E N
-------
12. Ann, Boobie, Cathy and Dave are at their monthly business meeting. Their occupations are author, biologist, chemist
and doctor, but not necessarily in that order. Dave just told the biologist that Cathy was on her way with doughnuts. Ann is
sitting across from the doctor and next to the chemist. The doctor was thinking that Boobie was a goofy name for parent's to
choose,but didn't say anything. What is each person's occupation?
13. Sometime after 10:00 PM a murder took place. A witness claimed that the clock must have stopped at the time of the
shooting. It was later found that the postion of both the hands were the same but their positions had interchanged. Tell the
time of the shooting (both actual and claimed).
14. Next number in the series is 1 , 2 , 4 , 13 , 31 , 112 , ?
15. Shahrukh speaks truth only in the morning and lies in the afternoon, whereas Salman speaks truth only in the afternoon.
A says that B is Shahrukh. Is it morning or afternoon and who is A - Shahrukh or Salman?
16. Two trains starting at same time, one from Bangalore to Mysore and other in opposite direction arrive at their destination
1 hr and 4 hours respectively after passing each other. How nuch faster is one train from other?
17. There are 6 volumes of books on a rack kept in order ( ie vol.1, vol. 2 and so on ). Give the position after the following
changes were noticed. All books have been changed Vol.5 was directly to the right of Vol.2 Vol.4 has Vol.6 to its left and
both weren't at Vol.3's place.Vol.1 has Vol.3 on right and Vol.5 on left. An even numbered volume is at Vol.5's place Find
the order in which the books are kept now.
18. I bought a car with a peculiar 5 digit numbered licence plate which on reversing could still be read. On reversing value is
increased by 78633.Whats the original number if all digits were different?
19. Salay walked 10 m towards West from his house. Then he walked 5 m turning to his left. After this he
walked 10 m turning to his left and in the end he walked 10 m turning to his left. In what direction is he now
from his starting point?
(A) South
(B) North
(C) East
(D) West
(E) None of these
20. Manish goes 7 km towards South-East from his house, then he goes 14 km turning to West. After this he
goes 7 km towards North West and in the end he goes 9 km towards East. How far is he from his house?
(A) 5 km (B) 7 km (C) 2 km (D) 14 km (E) None of these

24. 21) There are two balls touching each other circumferentially. The radius of the big ball is 4 times the diameter of the small
all. The outer small ball rotates in anticlockwise direction circumferentially over the bigger one at the rate of 16 rev/sec. The
bigger wheel also rotates anticlockwise at N rev/sec. What is 'N' for the horizontal line from the centre of small wheel
always is horizontal.
22) There is a safe with a 5 digit No. The 4th digit is 4 greater thansecond digit, while 3rd digit is 3 less than 2nd digit. The
1st digit is thrice the last digit. There are 3 pairs whose sum is 11. Find the number.
23. 13 kigs and 6 libs can produce 510 tors in 10 hrs, 8 kigs and 14 libs can produce 484 tors in 12 hrs. Find the rate of
production of tors for kigs and libs. Express the answer in tors/hr.
24. In 4 years, Raj’s father age twice as Raj. Two years ago, Raj’s mother’s age is twice as Raj. If Raj is 32 years old in
eight years from now, what is the age of Raj’s mother and father?
25. Persons say these statements. A says either Democratic or liberal wins the elections. B says Democratic wins. C says
neither democratic nor liberal wins the election. Of these only one is wrong. Who wins the election?
26) Ramesh sit around a round table with some other men. He has one rupee more than his right person and this person in
turn has 1 rupee more than the person to his right and so on, Ramesh decided to give 1 rupee to his right & he in turn 2
rupees to his right and 3 rupees to his right & so on. This process went on till a person has 'no money' to give to his right. At
this time he has 4 times the money to his right person. How many men are there along with Ramesh and what is the money
with poorest fellow.
27) The number of multiples of 10 which are less than 1000, which can be written as a sum of four consecutive integers is
a. 50 b. 100 c. 150 d. 216
28) Venkat has 1boy & 2daughters.The product of these children age is 72.The sum of their ages give the door number of
Venkat. Boy is elder of three. Can you tell the ages of all the three?
29) L:says all of my other 4 friends have money M:says that P said that exact one has money N:says that L said that
precisely two have money O:says that M said that 3 of others have money. P:Land N said that they have money. All are
liers. Who has money & who doesn't have?
30) A person has to go both Northwards & Southwards in search of a job. He decides to go by the first train he encounters.
There are trains for every 15 min both southwards and northwards. First train towards south is at 6:00 A.M. and that towards
North is at 6:10. If the person arrives at any random time, what is the probability that he gets into a train towards North.
31) A person has his own coach & whenever he goes to railway station he takes his coach. One day he was supposed to
reach the railway station at 5 O'clock. But he finished his work early and reached at 3 O'clock. Then he rung up his
residence and asked to send the coach immediately. He came to know that the coach has left just now to the railway station.
He thought that the coach has left just now to the railway station. He thought that he should not waste his time and started
moving towards his residence at the speed of 3 miles/hr. On the way, he gets the coach and reaches home at 6 o'clock. How
far is his residence from railway station?
32) Radha,Geeta & Revathi went for a picnic. After a few days they forgot the date, day and month on which they went to
picnic. Radha said that it was on Thursday, May 8 and Geeta said that it was Thursday May 10. Revathi said Friday Jun 8.
Now one of them told all things wrongly, others one thing wrong and the last two things wrongly. If April 1st is Tuesday,
what is the right day, date and month?
33). There is 66x33m rectangular area. Ram is 11/8 times faster than Krishna. Both of them started walking at opposite ends
and they met at some point then, Ram said "See you in the other end" Then they continued walking. After some time Ram
thought he will have tea so he turned back walked back 15 meters then he changed his mind again and continued walking.
How much Krishna has traveled by the time they meet?
34. X Z Y+X Y Z = Y Z X. Find the three digits.
35. All members belonging to D are members of A. All members belonging to E are members of D. All members belonging
to C are members of both A & D. Some members of A does not belong to D. All members belonging to D are members of
E. 5 questions are there.

25. 36. There are twelve consecutive flags at an equal interval of distance. A man passes the 8th flag in 8 seconds. How many
more seconds will he take to pass the remaining 4 flags?
37. A person has to cover the fixed distance through his horses. There are five horses in the cart. They ran at the full
potential for the 24 hours continuously at constant speed and then two of the horses ran away to some other direction. So he
reached the destination 48 hours behind the schedule. If the five horses would have run 50 miles more, then the person
would have been only 24 hours late. Find the distance of the destination.
38. A boat M leaves shore A and at the same time boat B leaves shore B. They move across the river. They met at 500 yards
away from A and after that they met 300 yards away from shore B without halting at shores. Find the distance between the
shore A & B.
39. The Master says to his grandmaster that I and my three cousins have ages in prime nos. only. Summation of our ages is
50. Grandmaster who knows the age of the master instantly tells the ages of the three cousins. Tell the ages of three cousins.
40. Food grains are to be sent to city from godown. Owner wants to reach the food grains at 11 O' Clock in the city. If a
truck travels at a speed of 30km/hr then he will reach the city one hour earlier. If the truck travels at a speed of 20km/h then
he will reach the city one hour late. Find the distance between the godown to city. Also with which speed the truck should
travel in order to reach at exactly 11 'O clock.
41. There are five persons A,B,C,D,E whose birthdays occur at the consecutive days. Birthday of A is some days or day
before C & birthday of B is exactly the same days or day after E. D is two days older than E. If birth day of C is on
Wednesday then find out the birthdays of other.
42) A fly is there 1 feet below the ceiling right across a wall length is 30m at equal distance from both the ends. There is a
spider 1 feet above floor right across the long wall eqidistant from both the ends. If the width of the room is 12m and 12m,
what distance is to be travelled by the spider to catch the fly, if it takes the shortest path.
43. Six persons A,B,C,D,E &F went to soldier cinema. There are six consecutive seats. A sits in the first seat followed by B,
followed by C and so on. If A taken on of the six seats, then B should sit adjacent to A. C should sit adjacent to A or B. D
should sit adjacent to A, B or C and so on. How many possibilities are there ?
44. Suppose there are four grades A, B, C, D. (A is the best and D is the worst) 4 persons Jack, Jean, Poul and Lucy wrote
the final exam and made the statements like this:- 1. Jack: If I will get A then Lucy will get D. 2. Lucy: If I will get C then
Jack will get D. Jack grade is better than Poul grade. 3. Jean: If Jean doesn't get A then Jack will not get A. 4. Poul: If Jack
get A, then Jean will not get B, Lucy will get C, I won't either A or B. If all the above statements are true, then which person
will get which grade?
45. Each man dances with 3 women, Each women dances with 3 men. Among each pair of men they have exactly two
women in common. Find the no. of men and women.
46. A survey was taken among 100 people to find their preference of watching t.v. programs. There are 3 channels. Given
no of people who watch at least channel 1, at least channel 2,at least channel 3, no channels at all, at least channels 1 and 3,
at least channels 1 and 2, at least channels 2 and 3. Find the no of people who watched all three.
47. There is an escalator and 2 persons move down it. A takes 50 steps and B takes 75 steps while the escalator is moving
down. Given that the time taken by A to take 1 step is equal to time taken by B to take 3 steps. Find the no. of steps in the
escalator while it is stationary.
48. There are N coins on a table. There are two players A&B. You can take 1or 2 coins at a time. The person who takes the
last coin is the loser. A always starts first.
1. If N=7, then
a) A can always win by taking two coins in his first chance.
b) B can win only if A takes two coins in his first chance.
c) B can always win by proper play.
d) none of the above.

26. 2. A can win by proper play if N is equal to
a) 13
b) 37
c) 22
d) 34
e) 48
3. B can win by proper play if N is equal to
a) 25
b)26
c) 32
d) 41
e) none
4. if N<4, can A win by proper play always?
49. There are 4 parties A,B,C,D. There are 3 people x,y,z. X-says A or D will win. Y-says A will not win. Z-says B or D
will not win. Only one of them is true. Which party won?
50. 5 persons R,S,T,U,V are contesting for a medal. Evaluation is over English, Maths, Physics, Chemistry and Hindi. Toper
will get 5 marks, least will get 1 mark. No ties anywhere. R got 24 and won the overall medal. V got first in Chemistry and
third in Hindi, T got consistent scores in 4 subjects. Their final standings are in the alphabetical order. What was the score of
S in Chemistry?
51. There are five persons A,B,C,D,E whose birthdays occur at the consecutive days. Birthday of A is some days or day
before C & birthday of B is exactly the same days or day after E. D is two days older than E. If birth day of C is on
Wednesday then find out the birthdays of other.
52. When Arthur is as old as his father Hailey is now, he shall be 5 times as old as his son Clarke is now. By then, Clarke
will be 8 times older than Arthur is now. The combined ages of Hailey and Arthur are 100 years. How old is Clarke?
53. If 5/2 artists make 5/2 paintings using 5/2 canvases in 5/2 days then how many artists are required to make 25 paintings
using 25 canvases in 25 days?
54. There are 5 burglars and once went to a bakery to rob it obviously. The first guy ate 1/2 of the total bread and 1/2 of the
bread. The second guy ate 1/2 of the remaining and 1/2 of the bread. The third guy, fourth guy and fifth guy did the same.
After fifth guy there is no bread left out. How many bread are there?
55. Two boats start from opposite banks of river perpendicular to the shore. One is faster than the other. They meet at 720
yards from one of the ends. After reaching opposite ends they rest for 10mins each. After that they start back. This time on
the return journey they meet at 400yards from the other end of the river. Calculate the width of the river.
56. Basketball Tournament organizers decided that two consecutive defeats will knock out the team. There are 51 teams
participating. What is the maximum no. of matches that can be played?
57. A person was going through train from Bombay to Pune. After every five minutes he finds a train coming from opposite
direction. Velocity of trains is equal of either direction. If the person reached Pune in one hour then how many trains he saw
in the journey?
58. There are two families Alens and smiths. They have two children each. Their names are A,B,C,D whose ages are
different and ages are less than or equal to 11. The following conditions are given:- i) A's age is three years less than his
brother's age . ii) B is eldest among the four. iii) C is half the age of the eldest in Alens family. iv) The difference in sum of
the ages of Alens children and Smith’s children is same as that of five years ago. Find the ages of all the children.
59. There are six cards in which it has two king cards. All cards are turned down and two cards are opened. a) What is the
possibility to get at least one king? b) What is the possibility to get two kings?

27. 60. There are 5 persons a,b,c,d,e and each is wearing a black or white cap on his head. A person can see the caps of the
remaining four but can't see his own cap. A person wearing white says true and who wears block says false.
i) a says i see 3 whites and 1 block.
ii) b says i see 4 blocks.
iii) e says i see 4 whites.
iv) c says i see 3 blocks and 1 white.
Now find the caps weared by a,b,c,d and e.
61. There are two women, Kavitha and Shamili and two males Shyam, Arvind who are musicians. Out of these four one is a
pianist, one flutist, violinist and drummer.
i) Across Arvind beats pianist.
ii) Across Shyam is not a flutist.
iii) Kavitha's left is a pianist.
iv) Shamili's left is not a drummer.
v) Flutist and drummer are married.
62. Persons A and B. Person A picks a random no. from 1 to 1000. Then person B picks a random no. from 1 to 1000. What
is the probability of B getting no. greater then what A has picked?
63. The seven digits in this subtraction problem are 0, 1, 2, 3, 4, 5 and 6. Each letter represents the same digit whenever it
occurs.
D A D C B
- E B E G
--------------------
B F E G
--------------------
What digit is represented by each letter?
64. The Jones have named their four boys after favorite relatives; their friends, the Smiths, have done the same thing with
their three boys. One of the families has twin boys. From the following clues, can you determine the families of all seven
children and their ages?
i) Valentine is 4 years older than his twin brothers.
ii) Winston, who is 8, and Benedict are not brothers. They are each named after a grandfather.
iii) Briscoe is two years younger than his brother Hamilton, But three years older than Dewey.
iv) Decatur is 10 years old.
v) Benedict is 3 years younger than Valentine; they are not related.
vi) The twins are named for uncles.
65. Motorboat A leaves shore P as B leaves Q; they move across the lake at a constant speed. They meet first time 600 yards
from P. Each returns from the opposite shore without halting, and they meet 200 yards from. How long is the lake?