APT/01

QUESTIONS:

  1. What could be the maximum value of Q in the following equation?

5P9 + 3R7 + 2Q8 = 1114

  1. 4
  2. 5
  3. 9
  4. 10
  1. Which of the following numbers is divisible by 3 ?
  2. 541326
  3. 5967013
  4. Distance between two stations A and B is 778 km. A train covers the journey from A to B at 84 km per hour and returns back to A with a uniform speed of 56 km perhour. Find the average speed of the train during the whole journey.
  5. 67.2 km/hr
  6. 58.2 km/hr
  7. 60 km/hr
  8. 48 km/hr
  9. There are two sections A and B of a class consisting of 36 and 44 students respectively. If the average weight of section A is 40kg and that of section B is 35kg, find the average weight of the whole class?
  10. 32.5 kg
  11. 52.25
  12. 37.25 kg
  13. 47.25 kg
  14. The difference of two numbers is 11 and one-fifth of their sum is 9. Find the numbers
  15. 33 and 22
  16. 45 and 63
  17. 27 and 18
  18. 28 and 17
  19. The ratio between a two-digit number and the sum of the digits of that number is 4 : 1.If the digit in the unit's place is 3 more than the digit in the ten’s place, what is the number?
  20. 36
  21. 42
  22. 63
  23. 44
  24. Rajeev's age after 15 years will be 5 times his age 5 years back. What is the present age of Rajeev?
  25. 10
  26. 15
  27. 20
  28. 25
  29. The present age of a father is 3 years more than three times the age of his son. Three years hence, father's age will be 10 years more than twice the age of the son. Find the present age of the father.
  30. 13
  31. 33
  32. 20
  33. 31
  34. Mr.Jones gave 40% of the money he had to his wife. he also gave 20% of the remaining amount to his 3 sons. half of the amount now left was spent on miscellaneous items and the remaining amount of Rs.12000 was deposited in the bank. how much money did Mr.jones have initially?
  35. 1,00,000
  36. 1,50,000
  37. 2,00,000
  38. 2,50,000
  39. A salesman`s commission is 5% on all sales upto Rs.10,000 and 4% on all sales exceeding this. He remits Rs.31,100 to his parent company after deducing his commission . Find the total sales.
  40. 31,500
  41. 32,500
  42. 30,500
  43. 13,500
  44. A book was sold for Rs 27.50 with a profit of 10%. if it were sold for rs25.75, then what would be % of profit or loss?
  45. 30%
  46. 3%
  47. 2.5%
  48. 5%
  49. A man sells an article at a profit of 25%if he had bought it 20% less and sold it for Rs 10.50 less, he would have gained 30%find the cost price of the article.
  50. 50
  51. 150
  52. 75
  53. 125
  54. A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture
  55. 10 litres
  56. 20 litres
  57. 15 litres
  58. 25 litres
  1. A, B and C started a business by investing Rs. 1,20,000, Rs. 1,35,000 and ,Rs.1,50,000 respectively. Find the share of A, out of an annual profit of Rs. 56,700.
  2. 16,800
  3. 18,900
  4. 21,000
  5. 13,500
  6. A and B can do a piece of work in 18 days; Band C can do it in 24 days A and C can do it in 36 days. In how many days will A finish it separately?
  7. 20 days
  8. 27 days
  9. 37 days
  10. 30 days
  11. A can do a certain job in 12 days. B is 60% more efficient than A. How manydays does B alone take to do the same job?
  12. 7 1/2 days.
  13. 9 ½ days
  14. 10 days
  15. 7 days
  16. An electric pump can fill a tank in 3 hours. Because of a leak in ,the tank it took 3(1/2) hours to fill the tank. If the tank is full, how much time will the leak take to empty it ?
  17. 12 hrs
  18. 22 hrs
  19. 21 hrs
  20. 15 hrs
  21. Two pipes A,B can fill a tank in 24 min. and 32 min. respectively. If both the pipes are opened simultaneously, after how much time B should be closed so that the tank is full in 18 min.?
  22. 10 min
  23. 12 min
  24. 8 min
  25. 6 min
  26. Peter can cover a certain distance in 1 hr. 24 min. by covering two-third of the distance at 4 kmph and the rest at 5 kmph. Find the total distance.
  27. 12
  28. 6
  29. 18
  30. 27
  31. A goods train leaves a station at a certain time and at a fixed speed. After ^hours, an express train leaves the same station and moves in the same direction at a uniform speed of 90 kmph. This train catches up the goods train in 4 hours. Find the speed of the goods train.
  32. 36 kmph
  33. 42 kmph
  34. 48 kmph
  35. 50 kmph
  36. A thief is spotted by a policeman from a distance of 100 metres. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8km/hr and that of the policeman 10 km/hr, how far the thief will have run before he is overtaken?
  37. 400 m
  38. 200 m
  39. 40 m
  40. 100 m
  41. I walk a certain distance and ride back taking a total time of 37 minutes. I could walk both ways in 55 minutes. How long would it take me to ride both ways?
  42. 25 min
  43. 19 min
  44. 10 min
  45. 11 min
  46. A train is moving at a speed of 132 km/br. If the length of the train is 110 metres, how long will it take to cross a railway platform 165 metres long?
  47. 9 ½ sec
  48. 7 ½ sec
  49. 1 ½ sec
  50. 2 ½ sec
  51. Two trains 100 metres and 120 metres long are running in the same direction with speeds of 72 km/hr,In howmuch time will the first train cross the second?
  52. 22 sec
  53. 11 sec
  54. 44 sec
  55. 50 sec
  56. A man can row upstream at 7 kmph and downstream at 10kmph.find man’s rate in still water and the rate of current.
  57. 1.5 km/hr
  58. 4.5 km/hr
  59. 3.5 km/hr
  60. 15 km/hr
  61. A man takes 3 hours 45 minutes to row a boat 15 km downstream of a river and 2hours30minutes to cover a distance of 5km upstream. find the speed of the river current in km/hr.
  62. 10 km/hr
  63. 11 km/hr
  64. 12 km/hr
  65. 1 km/hr
  1. In what ratio must rice at Rs. 9.30 per kg be mixed with rice at Rs. 10.80 per kg so that the mixture be worth Rs. 10 per kg ?
  2. 8:7
  3. 10:11
  4. 9:1
  5. 1:3
  6. How many kgs. of wheat costing Rs. 8 per kg must be mixed with 86 kg of rice costing Rs. 6.40 per kg so that 20% gain may be obtained by Belling the mixture at Rs. 7.20 per kg ?
  7. 10 kg
  8. 10.8 kg
  9. 11.8 kg
  10. 12.3 kg
  11. Adam borrowed some money at the rate of 6% p.a. for the first two years , at the rate of 9% p.a. for the next three years , and at the rate of 14% p.a. for the period beyond five years. 1£ he pays a total interest of Rs. 11, 400 at the end of nine years how much money did he borrow ?
  12. 10,000
  13. 12,000
  14. 11,000
  15. 15,000
  16. At what rate percent per annum will a sum of money double in 16 years
  17. 1 ¼ % p.a.
  18. 16 ¼ % p.a.
  19. 8 ¼ % p.a.
  20. 6 ¼ % p.a.
  21. A lawn is in the form of a rectangle having its sides in the ratio 2: 3. The area of the lawn is (1/6) hectares. Find the length and breadth of the lawn.
  22. 33 1/3 m and 50 m
  23. 25 m and 50 m
  24. 20 m and 100 m
  25. 12 m and 40 m
  26. How many words can be formed by using all letters of the word “BIHAR”
  27. 120
  28. 240
  29. 60
  30. 180
  31. How many words can be formed from the letters of the word ‘DIRECTOR’ So that the vowels are always together?
  32. 2160
  33. 360
  34. 216
  35. 343
  36. A bag contains 6 white and 4 black balls .2 balls are drawn at random. find the probability that they are of same colour.
  37. 6 / 15
  38. 3 / 15
  39. 4 / 15
  40. 7 / 15
  41. Two dice are thrown together .What is the probability that the sum of the number on the two faces is divided by 4 or 6
  42. 7 / 18
  43. 3 / 15
  44. 8 / 18
  45. 8 / 15
  46. The angle of elevation of the top of a tower at a point on the ground is 30. On walking 24 m towards the tower, the angle of elevation becomes 60. Find the height of the tower.
  47. 20.76 m
  48. 24 m
  49. 10.58 m
  50. 11 m
  51. Find the odd man out.

1, 4, 9, 16, 23, 25, 36

  1. 9
  2. 23
  3. 25
  4. 36

Directions to solve questions from (40-45)

Each question consist of two words which have a certain relationship to each other followed by four pairs of related words, Select the pair which has the same relationship.

  1. DIVA:OPERA

A. producer:theatreB. director:drama

C. conductor:busD. thespian:play

  1. GRAIN:SALT

A. shard:potteryB. shred:wood

C. blades:grassD. chip:glass

  1. THRUST:SPEAR

A. mangle:ironB. scabbard:sword

C. bow:arrowD. fence:epee

  1. PAIN:SEDATIVE

A. comfort:stimulantB. grief:consolation

C. trance:narcoticD. ache:extraction

  1. LIGHT:BLIND

A. speech:dumbB. language:deaf

C. tongue:soundD. voice:vibration

  1. WAN:COLOUR

A. corpulent:weightB. insipid:flavour

C. pallid:complexionD. enigmatic:puzzle

  1. Look at this series: 53, 53, 40, 40, 27, 27, ... What number should come next?

A. 12B. 14

C. 27D. 53

  1. Look at this series: 21, 9, 21, 11, 21, 13, 21, ... What number should come next?

A. 14B. 15

C. 21D. 23

  1. Look at this series: F2, __, D8, C16, B32, ... What number should fill the blank?

A. A16B. G4

C. E4D. E3

  1. Look at this series: V, VIII, XI, XIV, __, XX, ... What number should fill the blank?

A. IXB. XXIII

C. XVD. XVII

  1. Look carefully for the pattern, and then choose which pair of numbers comes next.

28 25 5 21 18 5 14

A. 11 5B. 10 7

C. 11 8D. 5 10

Directions for questions (49-50):

In each question below are given two statements followed by two conclusions numbered I and II. You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusion and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Give answer:

(A) If only conclusion I follows

(B) If only conclusion II follows

(C) If either I or II follows

(D) If neither I nor II follows and

(E) If both I and II follow.

  1. Statements: All bags are cakes. All lamps are cakes.

Conclusions:

Some lamps are bags.

No lamp is bag.

A. Only conclusion I follows

B. Only conclusion II follows

C. Either I or II follows

D. Neither I nor II follows

E. Both I and II follow

  1. Statements: No women teacher can play. Some women teachers are athletes.

Conclusions:

Male athletes can play.

Some athletes can play.

A. Only conclusion I follows

B. Only conclusion II follows

C. Either I or II follows

D. Neither I nor II follows

E. Both I and II follow