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Resources » Articles/Knowledge Sharing » Placement Papers »
Aptitude Questions
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1. For a motorist there are three ways going from City A to City C. By way of bridge the distance is 20 miles and toll is $0.75. A tunnel between the two cities is a distance of 10 miles and toll is $1.00 for the vehicle and driver and $0.10 for each passenger. A two-lane highway without toll goes east for 30 miles to city B and then 20 miles in a northwest direction to City C.
A. Which is the shortest route from B to C
(a) Directly on toll free highway to City C (b) The bridge
(c) The Tunnel (d) The bridge or the tunnel
(e) The bridge only if traffic is heavy on the toll free highway
B. The most economical way of going from City A to City B, in terms of toll and distance is to use the
(a) tunnel (b) bridge (c) bridge or tunnel
(d) toll free highway (e) bridge and highway
C. Jim usually drives alone from City C to City A every working day. His firm deducts a percentage of employee pay for lateness. Which factor would most influence his choice of the bridge or the tunnel ?
(a) Whether his wife goes with him (b) scenic beauty on the route
(c) Traffic conditions on the road, bridge and tunnel (d) saving $0.25 in tolls
(e) price of gasoline consumed in covering additional 10 miles on the bridge
D. In choosing between the use of the bridge and the tunnel the chief factor(s) would be:
I. Traffic and road conditions
II. Number of passengers in the car
III. Location of one's homes in the center or outskirts of one of the cities
IV. Desire to save $0.25
(a) I only (b) II only (c) II and III only
(d) III and IV only (e) I and II only
2. The letters A, B, C, D, E, F and G, not necessarily in that order, stand for seven consecutive integers from 1 to 10
D is 3 less than A
B is the middle term
F is as much less than B as C is greater than D
G is greater than F
A. The fifth integer is
(a) A (b) C (c) D (d) E (e) F
B. A is as much greater than F as which integer is less than G
(a) A (b) B (c) C (d) D (e) E
C. If A = 7, the sum of E and G is
(a) 8 (b) 10 (c) 12 (d) 14 (e) 16
D. A - F = ?
(a) 1 (b) 2 (c) 3 (d) 4 (e) Cannot be determined
E. An integer T is as much greater than C as C is greater than E. T can be written as A + E. What is D?
(a) 2 (b) 3 (c) 4 (d) 5 (e) Cannot be determined
F. The greatest possible value of C is how much greater than the smallest possible value of D?
(a) 2 (b) 3 (c) 4 (d) 5 (e) 6
3.
1. All G's are H's 2. All G's are J's or K's
3. All J's and K's are G's 4. All L's are K's
5. All N's are M's 6. No M's are G's
A. If no P's are K's, which of the following must be true?
(a) All P's are J's (b) No P is a G (c) No P is an H
(d) If any P is an H it is a G (e) If any P is a G it is a J
B. Which of the following can be logically deduced from the conditions stated?
(a) No M's are H's (b) No M's that are not N's are H's
(c) No H's are M's (d) Some M's are H's (e) All M's are H's
C. Which of the following is inconsistent with one or more of the conditions?
(a) All H's are G's (b) All H's that are not G's are M's
(c) Some H's are both M's and G's (d) No M's are H's (e) All M's are H's
D. The statement "No L's are J's" is
I. Logically deducible from the conditions stated
II. Consistent with but not deducible from the conditions stated
III. Deducible from the stated conditions together with the additional statement "No J's are K's"
(a) I only (b) II only (c) III only
(d) II and III only (e) Neither I, II nor III
4. In country X, democratic, conservative and justice parties have fought three civil wars in twenty years. TO restore stability an agreement is reached to rotate the top offices President, Prime Minister and Army Chief among the parties so that each party controls one and only one office at all times. The three top office holders must each have two deputies, one from each of the other parties. Each deputy must choose a staff composed of equally members of his or her chiefs party and member of the third party.
A. When Justice party holds one of the top offices, which of the following cannot be true
(a) Some of the staff members within that office are justice party members
(b) Some of the staff members within that office are democratic party members
(c) Two of the deputies within the other offices are justice party members
(d) Two of the deputies within the other offices are conservative party members
(e) Some of the staff members within the other offices are justice party members.
B. When the democratic party holds presidency, the staff of the prime minister's deputies are composed
I. One-fourth of democratic party members
II. One-half of justice party members and one-fourth of conservative party members
III. One-half of conservative party members and one-fourth of justice party members.
(a) I only (b) I and II only (c) II or III but not both
(d) I and II or I and III (e) None of these
C. Which of the following is allowable under the rules as stated:
(a) More than half of the staff within a given office belonging to a single party
(b) Half of the staff within a given office belonging to a single party
(c) Any person having a member of the same party as his or her immediate superior
(d) Half the total number of staff members in all three offices belonging to a single party
(e) Half the staff members in a given office belonging to parties different from the party of the top office holder in that office.
D. The office of the Army Chief passes from Conservative to Justice party. Which of the following must be fired.
(a) The democratic deputy and all staff members belonging to Justice party
(b) Justice party deputy and all his or hers staff members
(c) Justice party deputy and half of his Conservative staff members in the chief of staff office
(d) The Conservative deputy and all of his or her staff members belonging to Conservative party
(e) No deputies and all staff members belonging to conservative parties.
5. In recommendations to the board of trustees a tuition increase of $500 per year, the president of the university said "There were no student demonstrations over the previous increases of $300 last year and $200 the year before". If the president's statement is accurate then which of the following can be validly inferred from the information given:
I. Most students in previous years felt that the increases were justified because of increased operating costs.
II. Student apathy was responsible for the failure of students to protest the previous tuition increases.
III. Students are not likely to demonstrate over new tuition increases.
(a) I only (b) II only (c) I or II but not both
(d) I, II and III (e) None
6. The office staff of XYZ corporation presently consists of three bookeepers--A, B, C and 5 secretaries D, E, F, G, H. The management is planning to open a new office in another city using 2 bookeepers and 3 secretaries of the present staff . To do so they plan to seperate certain individuals who don't function well together. The following guidelines were established to set up the new office
I. Bookeepers A and C are constantly finding fault with one another and should not be sent together to the new office as a team
II. C and E function well alone but not as a team , they should be seperated
III. D and G have not been on speaking terms and shouldn't go together
IV Since D and F have been competing for promotion they shouldn't be a team
a. If A is to be moved as one of the bookeepers, which of the following cannot be a possible working unit.
A. ABDEH B. ABDGH C. ABEFH D. ABEGH
b. If C and F are moved to the new office, how many combinations are possible
A.1 B.2 C.3 D.4
c. If C is sent to the new office, which member of the staff cannot go with C
A.B B.D C.F D.G
d. Under the guidelines developed, which of the following must go to the new office
A.B B.D C.E D.G
e.If D goes to the new office, which of the following is/are true
I.C cannot go II.A cannot go III.H must also go
A.I only B.II only C.I and II only D.I and III only
7. After months of talent searching for an administrative assistant to the president of the college the field of applicants has been narrowed down to 5--A, B, C, D, E .It was announced that the finalist would be chosen after a series of all-day group personal interviews were held.The examining committee agreed upon the following procedure
I.The interviews will be held once a week
II.3 candidates will appear at any all-day interview session
III.Each candidate will appear at least once
IV.If it becomes necessary to call applicants for additonal interviews, no more 1 such applicant should be asked to appear the next week
V.Because of a detail in the written applications,it was agreed that whenever candidate B appears, A should also be present.
VI.Because of travel difficulties it was agreed that C will appear for only 1 interview.
a. At the first interview the following candidates appear A,B,D. Which of the following combinations can be called for the interview to be held next week.
A.BCD B.CDE C.ABE D.ABC
b.Which of the following is a possible sequence of combinations for interviews in 2 successive weeks
A.ABC;BDE B.ABD;ABE C.ADE;ABC D.BDE;ACD
c.If A ,B and D appear for the interview and D is called for additional interview the following week, which 2 candidates may be asked to appear with D?
I. A II B III.C IV.E
A.I and II B.I and III only C.II and III only D.III and IV only
d. Which of the following correctly state(s) the procedure followed by the search committee
I.After the second interview all applicants have appeared at least once
II.The committee sees each applicant a second time
III.If a third session,it is possible for all applicants to appear at least twice
A.I only B.II only C.III only D.Both I and II
8. A certain city is served by subway lines A,B and C and numbers 1 2 and 3When it snows , morning service on B is delayedWhen it rains or snows , service on A, 2 and 3 are delayed both in the morning and afternoon When temp. falls below 30 degrees farenheit afternoon service is cancelled in either the A line or the 3 line,but not both.When the temperature rises over 90 degrees farenheit, the afternoon service is cancelled in either the line C or the3 line but not both. When the service on the A line is delayed or cancelled, service on the C line which connects the A line, is delayed.When service on the 3 line is cancelled, service on the B line which connects the 3 line is delayed.
Q1. On Jan 10th, with the temperature at 15 degree farenheit, it snows all day. On how many lines will service be affected, including both morning and afternoon.
(A) 2 (B) 3 (C) 4 (D) 5
Q2. On Aug 15th with the temperature at 97 degrees farenheit it begins to rain at 1 PM. What is the minimum number of lines on which service will be affected?
(A) 2 (B) 3 (C) 4 (D) 5
Q3. On which of the following occasions would service be on the greatest number of lines disrupted.
(A) A snowy afternoon with the temperature at 45 degree farenheit
(B) A snowy morning with the temperature at 45 degree farenheit
(C) A rainy afternoon with the temperature at 45 degree farenheit
(D) A rainy afternoon with the temperature at 95 degree farenheit
9. In a certain society, there are two marriage groups, red and brown. No marriage is permitted within a group. On marriage, males become part of their wives groups; women remain in their own group. Children belong to the same group as their parents. Widowers and divorced males revert to the group of their birth. Marriage to more than one person at the same time and marriage to a direct descendant are forbidden
Q1. A brown female could have had
I. A grandfather born Red
II. A grandmother born Red
III Two grandfathers born Brown
(A) I only (B) III only (C) I, II and III (D) I and II only
Q2. A male born into the brown group may have
(A) An uncle in either group (B) A brown daughter
(C) A brown son (D) A son-in-law born into red group
Q3. Which of the following is not permitted under the rules as stated.
(A) A brown male marrying his father's sister
(B) A red female marrying her mother's brother
(C) A widower marrying his wife's sister
(D) A widow marrying her divorced daughter's ex-husband
Q4. If widowers and divorced males retained their group they had upon marrying which of the following would be permissible ( Assume that no previous marriage occurred)
(A) A woman marrying her dead sister's husband
(B) A woman marrying her divorced daughter's ex-husband
(C) A widower marrying his brother's daughter
(D) A woman marrying her mother's brother who is a widower.
10. 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. 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.
A. 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.
B. 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
C. If Mr. B was on step 1, which step could A be on?
(a) 2&e only (b) 3&5 only (c) 3&4 only
(d) 4&5 only (e) 2&4 only
D. 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
E. 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
11. Six swimmers A, B, C, D, E, F compete in a race. The outcome is as follows.
i. B does not win.
ii. Only two swimmers separate E & D
iii. A is behind D & E
iv. B is ahead of E , with one swimmer intervening
v. F is a head of D
A. Who stood fifth in the race ?
(a) A (b) B (c) C (d) D (e) E
B. How many swimmers separate A and F?
(a) 1 (b) 2 (c) 3 (d) 4 (e) cannot be determined
C. The swimmer between C & E is
(a) none (b) F (c) D (d) B (e) A
D. If the end of the race, swimmer D is disqualified by the Judges then swimmer B finishes in which place
(a) 1 (b) 2 (c) 3 (d) 4 (e) 5
12. Five houses lettered A,B,C,D, & E are built in a row next to each other. The houses are lined up in the order A,B,C,D, & E. Each of the five houses has a colored chimney. The roof and chimney of each house must be painted as follows.
i. The roof must be painted either green, red ,or yellow.
ii. The chimney must be painted either white, black, or red.
iii. No house may have the same color chimney as the color of roof.
iv. No house may use any of the same colors that the every next house uses.
v. House E has a green roof.
vi. House B has a red roof and a black chimney
A. Which of the following is true?
(a) At least two houses have black chimney.
(b) At least two houses have red roofs.
(c) At least two houses have white chimneys
(d) At least two houses have green roofs
(e) At least two houses have yellow roofs
B. Which must be false?
(a) House A has a yellow roof
(b) House A & C have different color chimney
(c) House D has a black chimney
(d) House E has a white chimney
(e) House B&D have the same color roof.
C. If house C has a yellow roof. Which must be true.
(a) House E has a white chimney
(b) House E has a black chimney
(c) House E has a red chimney
(d) House D has a red chimney
(e) House C has a black chimney
D. Which possible combinations of roof & chimney can house
I. A red roof 7 a black chimney
II. A yellow roof & a red chimney
III. A yellow roof & a black chimney
(a) I only (b) II only (c) III only
(d) I & II only (e) I&II&III
13. Find x+2y
(i). x+y=10 (ii). 2x+4y=20
14. Is angle BAC is a right angle
(i) AB=2BC (2) BC=1.5AC
15. Is x greater than y
(i) x=2k
(ii) k=2y
16. 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?
17. A student divided a number by 2/3 when he required to multiply by 3/2. Calculate the percentage of error in his result.
18. 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 …%.
19. 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?
20. 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.
21. 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.
22. What is a percent of b divided by b percent of a?
(a) a (b) b (c) 1 (d) 10 (d) 100
23. 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.
24. The number on the face opposite to the face carrying 1 is _______ .
25. The number on the faces adjacent to the face marked 5 are _______ .
26. 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
27. 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?
28. 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?
29 - 151 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) The book by Rothko is published by Sparrow.
(2) The Spy thriller is published by Heron.
(3) The science fiction novel is by Burchfield and is not published by Blueja.
(4)The Gothic romance is by Hopper.
30. Pigeon publishes ____________.
31. The novel by Gorky ________________.
32. John purchases books by the authors whose names come first and third in alphabetical order. He does not buy the books ______.
33. 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.
34. If a light flashes every 6 seconds, how many times will it flash in ¾ of an hour?
35. 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
36. 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
37. 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.
38. 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?
39. 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.
40. 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 _______.
41. 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?
42. Which of the following is larger than 3/5?
(1) ½ (2) 39/50 (3) 7/25 (4) 3/10 (5) 59/100
43. The number that does not have a reciprocal is ____________.
44. 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.
45. 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.
For the following, find the next term in the series
46. 6, 24, 60,120, 210
a) 336 b) 366 c) 330 d) 660
47. 1, 5, 13, 25
48. 0, 5, 8, 17
49. 1, 8, 9, 64, 25 (Hint : Every successive terms are related)
50. 8, 24, 12,36,18,54
51. 71,76,69,74,67,72
52. 5,9,16,29,54
53. 1, 2, 4, 10, 16, 40, 64 (Successive terms are related)
Exercise 2.2
Find the odd man out.
54. 3,5,7,12,13,17,19
55. 2,5,10,17,26,37,50,64
56. 105,85,60,30,0,-45,-90
Solve the following.
57. What is the number of zeros at the end of the product of the numbers from 1 to 100?
58. 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?
59. 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. (supposing that he lost his wicket in his 51st innings)
60. Out of 80 coins, one is counterfeit. What is the minimum number of weighings needed to find out the counterfeit coin?
61. 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
62. 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?
63. What is the sum of all numbers between 100 and 1000 which are divisible by 14?
64. If s(a) denotes square root of a, find the value of s(12+s(12+s(12+ ...... upto infinity.
65. 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?
66. 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?
67. 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?
68. If time at this moment is 9 P.M., what will be the time 23999999992 hours later?
69. How big will an angle of one and a half degree look through a glass that magnifies things three times?
70. 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.
71. I drove 60 km at 30 kmph and then an additional 60 km at 50 kmph. Compute my average speed over my 120 km.
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