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Aptitude  test: (75 mins)

1.It was calculated that 75 men could complete a piece of work in 20 days. When work was scheduled to commence, it was found necessary to send 25 men to another project. How much longer will it take to complete the work?

2. A student divided a number by 2/3 when he required to multiply by 3/2. Calculate the percentage of error in his result.

3. A dishonest shopkeeper professes to sell pulses at the cost price, but he uses a false weight of 950gm. for a kg. His gain is …%.

4. A software engineer has the capability of thinking 100 lines of code in five minutes and can type 100 lines of code in 10 minutes. He takes a break for five minutes after every ten minutes. How many lines of codes will he complete typing after an hour?

5. A man was engaged on a job for 30 days on the condition that he would get a wage of Rs. 10 for the day he works, but he have to pay a fine of Rs. 2 for each day of his absence. If he gets Rs. 216 at the end, he was absent for work for ... days.

6. A contractor agreeing to finish a work in 150 days, employed 75 men each working 8 hours daily. After 90 days, only 2/7 of the work was completed. Increasing the number of men by ________ each working now for 10 hours daily, the work can be completed in time.

7. what is a percent of b divided by b percent of a?
(a) a  
(b) b  
(c) 1  
(d) 10  
(d) 100

8. A man bought a horse and a cart. If he sold the horse at 10 % loss and the cart at 20 % gain, he would not lose anything; but if he sold the horse at 5% loss and the cart at 5% gain, he would lose Rs. 10 in the bargain. The amount paid by him was Rs._______ for the horse and Rs.________ for the cart.

9. A tennis marker is trying to put together a team of four players for a tennistournament out of seven available. males - a, b and c; females – m, n, o and p. All players are of equal ability and there must be at least two males in the 1 team. For a team of four, all players must be able to play with each other
under the following restrictions:
b should not play with m,
c should not play with p, and
a should not play with o.

Which of the following statements must be false?
1. b and p cannot be selected together
2. c and o cannot be selected together
3. c and n cannot be selected together.

10-12. The following figure depicts three views of a cube. Based on this, answer questions 10-12.
10. The number on the face opposite to the face carrying 1 is _______ .
11. The number on the faces adjacent to the face marked 5 are _______ .
12. Which of the following pairs does not correctly give the numbers on the opposite faces.

(1) 6,5  
(2) 4,1  
(3) 1,3  
(4) 4,2

13. Five farmers have 7, 9, 11, 13 & 14 apple trees, respectively in their orchards. Last year, each of them discovered that every tree in their own orchard bore exactly the same number of apples. Further, if the third farmer gives one apple to the first, and the fifth gives three to each of the second and the fourth, they would all have exactly the same number of apples. What were the yields per tree in the orchards of the third and fourth farmers?

14. Five boys were climbing a hill. J was following H. R was just ahead of G. K was between G & H. They were climbing up in a column. Who was the second?
(15-18) John is undecided which of the four novels to buy. He is considering a spy thriller, a Murder mystery, a Gothic romance and a science fiction novel. The books are written by Rothko, Gorky, Burchfield and Hopper, not necessary in that order, and published by Heron, Piegon, Blueja and sparrow, not necessary in that order.
1 (1) The book by Rothko is published by Sparrow.
2 (2) The Spy thriller is published by Heron.
3 (3) The science fiction novel is by Burchfield and is not published by Blueja.
4 (4)The Gothic romance is by Hopper.

15. Pigeon publishes ____________.

16. The novel by Gorky ________________.

17. John purchases books by the authors whose names come first and third in alphabetical order. He does not buy the books ______.

18. On the basis of the first paragraph and statement (2),(3) and (4) only, it is possible to deduce that
1. Rothko wrote the murder mystery or the spy thriller
2. Sparrow published the murder mystery or the spy thriller
3. The book by Burchfield is published by Sparrow.

19. If a light flashes every 6 seconds, how many times will it flash in ¾ of an hour?

20. If point P is on line segment AB, then which of the following is always true?
(1) AP = PB 
(2) AP > PB 

(3) PB > AP 
(4) AB > AP 
(5) AB > AP + PB

21. All men are vertebrates. Some mammals are vertebrates. Which of the following conclusions drawn from the above statement is correct.
All men are mammals
All mammals are men
Some vertebrates are mammals.
None

22. Which of the following statements drawn from the given statements are correct?
Given:
All watches sold in that shop are of high standard. Some of the HMT watches
are sold in that shop.
a) All watches of high standard were manufactured by HMT.
b) Some of the HMT watches are of high standard.
c) None of the HMT watches is of high standard.
d) Some of the HMT watches of high standard are sold in that shop.

(23-27)
1. Ashland is north of East Liverpool and west of Coshocton.
2. Bowling green is north of Ashland and west of Fredericktown.
3. Dover is south and east of Ashland.
4. East Liverpool is north of Fredericktown and east of Dover.
5. Fredericktown is north of Dover and west of Ashland.
6. Coshocton is south of Fredericktown and west of Dover.

23. Which of the towns mentioned is furthest of the north – west
(a) Ashland 
(b) Bowling green
(c) Coshocton
(d) East Liverpool 
(e) Fredericktown

24. Which of the following must be both north and east of Fredericktown?
(a) Ashland  
(b) Coshocton  
(c) East Liverpool
I a only  

II b only  

III c only 

IV a & b 

V a & c

25. Which of the following towns must be situated both south and west of at least one other town?
A. Ashland only
B. Ashland and Fredericktown
C. Dover and Fredericktown
D. Dover, Coshocton and Fredericktown
E. Coshocton, Dover and East Liverpool.

26. Which of the following statements, if true, would make the information in the numbered statements more specific?
(a) Coshocton is north of Dover.
(b) East Liverpool is north of Dover
(c) Ashland is east of Bowling green.
(d) Coshocton is east of Fredericktown
(e) Bowling green is north of Fredericktown

27. Which of the numbered statements gives information that can be deduced from one or more of the other statements?
(A) 1 
(B) 2  
(C) 3  
(D) 4  
(E) 6

28. Eight friends Harsha, Fakis, Balaji, Eswar, Dhinesh, Chandra, Geetha, and Ahmed are sitting in a circle facing the center. Balaji is sitting between Geetha and Dhinesh. Harsha is third to the left of Balaji and second to the right of Ahmed. Chandra is sitting between Ahmed and Geetha and Balaji and Eshwar are not sitting opposite to each other. Who is third to the left of Dhinesh?

29. If every alternative letter starting from B of the English alphabet is written in small letter, rest all are written in capital letters, how the month “ September” be written.
(1) SeptEMbEr  
(2) SEpTeMBEr  
(3) SeptembeR
(4) SepteMber   
(5) None of the above.

30. The length of the side of a square is represented by x+2. The length of the side of an equilateral triangle is 2x. If the square and the equilateral triangle have equal perimeter, then the value of x is _______.
31. It takes Mr. Karthik y hours to complete typing a manuscript. After 2 hours, he was called away. What fractional part of the assignment was left incomplete?

32. Which of the following is larger than 3/5?
(1) ½  
(2) 39/50  

(3) 7/25  

(4) 3/10 

(5) 59/100

33. The number that does not have a reciprocal is ____________.

34. There are 3 persons Sudhir, Arvind, and Gauri. Sudhir lent cars to Arvind and Gauri as many as they had already. After some time Arvind gave as many cars to Sudhir and Gauri as many as they have. After sometime Gauri did the same thing. At the end of this transaction each one of them had

24. Find the cars each originally had.

For the following, find the next term in the series(35-40)
35). 6, 24, 60,120, 210
Answer : 336

36). 0, 5, 8, 17
Answer : 24

37). 1, 8, 9, 64, 25
Answer : 216

38). 8,24,12,36,18,54
Answer : 27

39). 71,76,69,74,67,72
Answer : 67

40). 5,9,16,29,54
Answer : 103

41. What is the number of zeros at the end of the product of the numbers from 1 to100?
Answer : 127

42. A fast typist can type some matter in 2 hours and a slow typist can type the same in 3 hours. If both type combinely, in how much time will they finish?
Answer : 1 hr 12 min

43. Gavaskar's average in his first 50 innings was 50. After the 51st innings, his average was 51. How many runs did he score in his 51st innings
Answer : 101

44. Out of 80 coins, one is counterfeit. What is the minimum number of weighing needed to find out the counterfeit coin?
Answer : 4

45. What can you conclude from the statement : All green are blue, all blue are red. ?
(i) some blue are green
(ii) some red are green
(iii) some green are not red
(iv) all red are blue
(a) i or ii but not both
(b) i & ii only
(c) iii or iv but not both
(d) iii & iv
Answer : (b)

46. A rectangular plate with length 8 inches, breadth 11 inches and thickness 2 inches is available. What is the length of the circular rod with diameter 8 inches and equal to the volume of the rectangular plate?
Answer : 3.5 inches

47. What is the sum of all numbers between 100 and 1000 which are divisible by 14 ?
Answer : 35392

48. If s(a) denotes square root of a, find the value of s(12+s(12+s(12+ ...... upto infinity.
Answer : 4

49. A cylindrical container has a radius of eight inches with a height of three inches. Compute how many inches should be added to either the radius or height to give the same increase in volume?
Answer : 16/3 inches

50. With just six weights and a balance scale, you can weigh any unit number of kgs from 1 to 364. What could be the six weights?
Answer : 1, 3, 9, 27, 81, 243

51. Diophantus passed one sixth of his life in childhood, one twelfth in youth, and one seventh more as a bachelor; five years after his marriage a son was born who died four years before his father at half his final age. How old is Diophantus?
Answer : 84 years

52 . If time at this moment is 9 P.M., what will be the time 23999999992 hours later?
Answer : 1 P.M.

53. How big will an angle of one and a half degree look through a glass that magnifies things three times?
Answer : 1 1/2 degrees

54. Divide 45 into four parts such that when 2 is added to the first part, 2 is subtracted from the second part, 2 is multiplied by the third part and the fourth part is divided by two, all result in the same number.
Answer: 8, 12, 5, 20

55. I drove 60 km at 30 kmph and then an additional 60 km at 50 kmph. Compute my average speed over my 120 km.
Answer : 37 ½

Questions 56 and 57 are based on the following :
Five executives of European Corporation hold a Conference in Rome
Mr. A converses in Spanish & Italian
Mr. B, a spaniard, knows English also
Mr. C knows English and belongs to Italy
Mr. D converses in French and Spanish
Mr. E , a native of Italy knows French
56. Which of the following can act as interpreter if Mr. C & Mr. D wish to converse
a) only Mr. A  
b) Only Mr. B  
c) Mr. A & Mr. B       
d) Any of the other three
Answer : d) Any of the other three.

57. If a 6th executive is brought in, to be understood by maximum number of original five he should be fluent in
a) English & French  
b) Italian & Spanish  
c) English & French    
d) French & Italian
Answer : b) Italian & Spanish

58. What is the sum of the first 25 natural odd numbers?
Answer : 625

59. The sum of any seven consecutive numbers is divisible by
a) 2  
b) 7  
c) 3  
d) 11

60. There are seventy clerks working in a company, of which 30 are females. Also, 30 clerks are married; 24 clerks are above 25 years of age; 19 married clerks are above 25 years, of which 7 are males; 12 males are above 25 years of age; and 15 males are married. How many bachelor girls are there and how
many of these are above 25?