Directions for Questions 21-25: In each of the following questions, a paragraph or a sentence has been broken up into different parts. The parts have been scrambled and numbered as given below. Choose the correct order of these parts from the given alternatives.
21. 1) is decidedly harmful
2) disregarding other equally important aspects,
3) to the total neglect of others
4) in the life of a man or a woman
5) is not wisdom but
6) cultivating only one quality
7) giving all attention and energy to one aspect of national life only,
8) folly
9). similarly in the life of a nation.
A) 4,6,2,5,8,9,7,1,3 B) 4,6,3,1,9,7,2,5,8
C) 6,2,4,5,1,9,7,3,8 D) 6,4,2,1,9,7,3,5,8
Ans: B
22 1) Zealand 2) islands 3) Australia 4) of 5) new 6) consist 7) both 8) and 9) two
A) 2,4,3,6,5,7,1,8,9 B) 5,1, 8 3,7,6,9,2,4
C) 5,1,8,3,7,6,4,9,2 D) 5,1,8,2,3,7,6,4,9
Ans: C
23. 1) Pentium 4 2) any 3) conflicts. 4) handle 5) It seems 6)can 7)that 8)without 9) it
A) 5, 7, 1, 4, 6, 9, 8, 3, 2 B) 5, 7, 2, 4, 6, 8, 9, 1, 3
C) 5, 7, 1, 4, 6, 9, 8, 2, 3 D) 5, 7, 1, 6, 4, 9, 8, 2, 3
Ans: D
24. 1) language 2) of 3) two 4) the 5) official 6)countries 7) is 8) English 9) the
A) 8, 7, 4, 5, 1, 2, 9, 3, 6 B) 8, 7, 1, 5, 4, 2, 9, 3, 6
C) 8, 7, 4, 1, 5, 2 9, 3, 6 D) 8, 7, 4, 5, 1, 9, 2, 3, 6
Ans: A
25. 1) two 2) there 3) some 4) however 5) countries 6) between 7) are 8) differences 9) the
A) 4, 2, 8, 3, 7, 6, 9, 1, 5 B) 4, 2, 5, 3, 8, 6, 9, 1, 7,
C) 4, 2, 7, 3, 8, 6, 9, 1, 5 D) 4, 2, 7, 3, 8, 6, 9, 1, 5,
Ans: C
ANALYTICAL section (25 Q's - 30 mins)
Questions 1-5:
1. Out of forty students, there are 14 who are taking Physics and 29 who are taking Calculus. What is the probability that a randomly chosen student from this group is taking only the Calculus class?
Ans: 0.6 = 60%.
2. In town of 500 people, 285 read Hindu and 212 read Indian express and 127read Times of India 20 read Hindu and times of India and 29 read hindu and Indian express and 35 read times of India and Indian express.
50 read no news paper. Then how many read only one paper?
Ans: 45
3. In a group of persons travelling in a bus, 6 persons can speak Tamil, 15 can speak Hindi and 6 can speak Gujarati. In that group , none can speak any other language. If 2 persons in the group can speak two languages and one person can speak all the three languages, then how many persons are there in the group ?
A) 21 B) 23 C) 22 D)24
Ans: B
4. Out of a total of 120 musicians in a club , 5% can play all the three instruments- Guitar, violin and Flute. It so happens that the number of musicians who can play any two and only two of the above instruments is 30.
The number of musicians who can play the guitar alone is 40. What is the total number of those who can play violin alone or flute alone ?
A) 30 B) 38 C) 44 D) 45
Ans: C
5. In a town 65% people watched the news on television , 40% read a newspaper and 25% read a newspaper and watched the news on television also. What percent of the people neither watched the news on television nor read a news paper ?
A) 5 B) 10 C) 15 D) 20
Ans: D
Questions 6-10 :
A secret can be told only 2 persons in 5 minutes .the same person tells to 2 more persons and so on . How long will take to tell it to 768 persons ?
a)47.5 min b)50 min c) 500 min d)49 min
Ans: 47.5 min
7. When I was married 10 years ago my wife is the 6th member of the family. Today my father died and a baby born to me.The average age of my family during my marriage is same as today. What is the age of Father
when he died?
Ans: 70.
8. A son and father goes for boating in river upstream . After rowing for 1 mile son notices the hat of his father falling in the river. After 5 min. he tells his father that his hat has fallen. So they turn round and are able to pick
the hat at the point from where they began boating after 5min. Tell the speed of river?
Ans: 6 miles/hr
9. There are three departments having students 64,58,24 .In an exam they have to be seated in rooms such that each room has equal number of students and each room has students of one type only (No mixing of
departments. Find the minimum number rooms required ?
Ans : 73
10. Argentina had football team of 22 player of which captain is from Brazilian team and goalki from European team. For remaining player they have picked 6 from Argentinean and 14 from European. Now for a team of 11
they must have goalki and captain so out of 9 now they plan to select 3 from Argentinean and 6 from European. Find out number of methods available for it.
Ans : 160600( check out for right no. 6C3 * 14C6)
Directions for Questions 11-15 : Each question given below has a problem and two statements numbered I and II giving certain information. You have to decide if the information given in the statements are sufficient for answering the problem. Indicate your answer as
(a) if the data in statement I alone are sufficient to answer the question;
(b) if the data in statement II alone are sufficient to answer the question;
(c) if the data in either in I or II alone are sufficient to answer the question;
(d) if the data even in both the statements together are not sufficient to answer the question;
(e) if the data in both the statements together are needed;
11. How many visitors saw the exhibition yesterday?
I. Each entry pass holder can take up to three persons with him / her.
II. In all, 243 passes were sold yesterday.
Ans:D
12. How much was the total sale of the company?
I. The company sold 8000 units of product A each costing Rs. 25.
II. The company has no other product line
Ans: E
13. In what proportion would Raj, Karan and Altaf distribute profit among them
I. Raj gets two-fifth of the profit.
II. Karan and Althaf have made 75% of the total investment.
Ans: D
14. What time did the train leave today.
I. The train normally leaves on time
II. The scheduled departure is at 14.30.
Ans: D
15. On which day in January, Subhas left for Germany?
I. Subhas has so far spent 10 years in Germany.
II. Subhas' friend Anil left for Germany on 15th February and joined Subhas 20 days after Subhas' arrival.
Ans: D.
Directions for Questions 16-20 :Convert the given binary numbers.
16. (1110 0111)2 = ( )16
Ans: (E7)16
17. (01011010)2=( )8
Ans: (132)8
18. (11110000)2= ( )10
Ans:(240)10
19. (11000101010000111)2=( )16
Ans: (18A87)16
20. (01001110)2 = ( )8
Ans: (116)8
Directions(21-25): a cube is coloured orange on one face , pink on the opposite face, brown on one face and silver on a face adjacent to the brown face. The other two faces are left uncoloured. It is then cut into 125 smaller cubes of equal size. now, answer the following questions based on the above statements:
21. How many cubes have at least one face coloured pink ?
A) 1 B)9 C) 16 D) 25
Ans:D
22. How many cubes have all the faces uncoloured ?
A) 24 B)36 C) 48 D) 64
Ans:C
23. How many cubes have atleast two faces coloured ?
A) 19 B)20 C) 21 D) 23
Ans:C
24 How many cubes are coloured orange on one face and have the remaining faces incoloured ?
A) 8 B) 12 C) 14 D) 16
Ans:D
25 How many cubes one coloured silver on one face , orange or pink on another face and have four
uncoloured faces ?
A) 8 B) 10 C) 12 D) 16
Ans:A
REASONING section (20 Q's - 20 mins)
Directions for Questions 1-4: In each questions 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 : Some shirts are biscuits
No biscuit is book
Conclusions : I Some shirts are books
II. Some books are biscuits
Ans: D.
2. Statements : No women can vote
Some women are politicians
Conclusions : I Male politicians can vote
II. Some politicians can vote
Ans: D
3. Statements : No man is a donkey
Rahul is a man
Conclusions : I Rahul is not a donkey.
II.All men are not Rahul
Ans: A
4. Statements : All poles are guns
Some boats are not ploes
Conclusions : I All guns are boats
II. Some boats are not guns
Ans: D
Directions for Questions 5-6: In each questions 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.
5. Statements : All rats are cows
No cow is white.
Conclusions : I No white is rat.
II. No rat is white
III. Some whites are rats
IV All cows are rats
A) None follows B) Only I and IV follow.
C) Only II and IV follow. D) Only IV follow
E) None of these
Ans: E
6. Statements : All apples are brinjals
All brinjals are ladyfingures
All ladyfingures are oranges
Conclusions : I. Some oranges are brinjals
II.All brinjals are apples
III. some apples are oranges
IV All ladyfingures are apples
A) None follows B) All follow
C) Only I and III follow D) Either I or III follows
E) None of these
Ans: A.
Directions(7-15): In each of the following questions one word is different from the rest. Find out the word which does not belong to the group
7. (A) Ginger (B) Tomato (C) Carrot (D) Beet (E) Potato
Ans : B
8. (A) BFD (B) NRP (C) HLG (D) QUS (E) UYW
Ans : (C)
9. (A) ML (B) TS (C) FG (D) PO (E) XW
Ans : (C)
10. (A) Cheese (B) Butter (C) Ghee (D) Milk (E) Curd
Ans : (D)
11. (A) GTSH (B) BYXC (C) ETUF (D) LONM (E) KPIR
Ans : (C)
12. (A) PQ (B) CD (C) MN (D) DF (E) RS
Ans : (D)
13. (A) FLOK (B) CROWD (C) HERD (D) SWARM (E) TEAM
Ans : (E)
14. (A) 64 (B) 54 (C) 42 (D) 31 (E) 20
Ans: D
15. A) mania B) pneumonia C) Influenza D) Cholera
ANS: A
CTS Aptitude Test Pattern
Questions = 70; time limit = 70 minutes. Correct answer carry one mark and wrong answer carry 0.25 marks. Offline (paper & pen) test.
Verbal section (25 questions-25min)
Directions for Questions 1-5: Read the passage and answer the questions that follow on the basis of the information provided in the passage. Work expands so as to fill the time available for its completion. The general recognition of this fact is shown in the proverbial phrase, It is the busiest man who has time to spare. Thus, an elderly lady at leisure can spend the entire day writing a postcard to her niece. An hour will be spent in writing a postcard, another hunting for spectacles, half an hour to search for the address, an hour and a quarter in composition and twenty minutes in deciding whether or not to take an umbrella when goingto the pillar box in the street. The total effort that could occupy a busy man for three minutes, all told may in this fashion leave another person completely exhausted after a day of doubt, anxiety and toil.
1. What happens when the time to be spent on some work increases?
A) the work is done smoothly. B) the work is done leisurely. C) work consumes all the time. D) The work needs additional time.
Ans: C
2. Explain the sentence: Work expands so as to fill the time available for its completion’.
A) The more work there is to be done , the more time needed.
B) whatever time is available for a given amount of work, all of it will be used.
C) If you have more time you can do some work.
D) If you have some important work to do, you should always have some additional time.
Ans: B
3. Who is the person likely to take more time to do work.
A) a busy man. B) a man of leisure. C) an elderly person. D)an exhausted person
Ans: B
4. What is the total time spent by the elderly lady in writing a postcard?
A) Three minutes. B) four hours and five minutes. C) half day D)the entire day.
Ans:D
5. What does the expression ‘pillar box’ stand for?
A) a box attached to the pillar. B) a box in the pillar C) box office. D) a pillar type postbox.
Ans: D
Directions for Questions 6-10: Read the passage and answer the questions that follow on the basis of the
information provided in the passage. According to Albert Einstein the non mathematician, is seized by a mysterious shuddering when he hears of 'four-dimensional' things, he is seized by a feeling, which is very similar to the thoughts awakened by the occult. And at the same time the statement that the world in which we live is a four-dimensional space - time continuum is quite a common place statement.
This might lead to an argument regarding the use of the term ''commonplace'' by Einstein. Yet the difficulty lies more in the wording than the ideas. Einstein's concept of the universe as a four-dimensional space-time continuum becomes plain and clear, when what he means by ''continuum'' becomes clear. A continuum is something that is continuous, A ruler, for example, is a one-dimensional space continuum. Most rulers are divided into inches and frwasLions, scaled down to one-sixteenth of an inch.
Will it be possible to conceive a ruler, which is calibrated to a millionth or billionth of an inch. In theory there is no reason why the steps from point to point should not be even smaller. What distinguishes a continuum is the fWASL that the space between any two points can be sub-divided into an infinite number of smaller divisions.
A railroad track is a one-dimensional space continuum and on it the engineer of a train can describe his position at any time by citing a single co-ordinate point - i.e., a station or a milestone. A sea captain, however, has to worry about two dimensions. The surface of the sea is a two-dimensional continuum and the co-ordinate points by which sailor fixes his positions in his two dimensional continuum are latitude and longitude. An airplane pilot guides his plane through a three - dimensional continuum, hence he has to consider not only latitude and longitude, but also his height above the ground. The continuum of an airplane pilot constitutes space as we perceive it. In other words, the space of our world is a three-dimensional continuum.
Just indicating its position in space is not enough while describing any physical event, which involves motion. How position changes in time also needs to be mentioned. Thus to give an accurate picture of the operation of a New York-Chicago express, one must mention not only that it goes from New-York to Albany to Syracuse to Cleveland to Toledo to Chicago, but also the times at which it touches each of those points. This can be done either by means of a timetable or a visual chart. If the miles between New York and Chicago are plotted horizontally on a piece of ruled paper and the hours and minutes are plotted vertically, then a diagonal line properly drawn across the page illustrates the progress of the train in two-dimensional space-time continuum. This type of graphic representation is familiar to most newspaper readers; a stock market chart, for example, pictures financial events in a two-dimensional dollar-time continuum. Similarly for the best picturisation of the flight of an airplane from New York to Los Angeles a four dimensional space time continuum is essential. The latitude, longitude and altitude will only make sense to the traffic manager of the airline if the time co - ordinate is also mentioned. Therefore time is the fourth dimension. If a flight has to be looked at, perceived as a whole, it wouldn't work if it is broken down into a series of disconnected take - offs, climbs, glides, and landing, it needs to be looked at and perceived as a continuous four- dimensional space - time continuum curve.
Following are some sample questions on this passage:
The significant feature of a continuum, according to the passage, revolves around The divisibility of the interval between any two points. An ordinary ruler's caliber for marking Its unending curve Its lucid from providing comprehensibility to the non-scientists as well It's variety of co-ordinates.
Answer: A
The purpose of this passage is to highlight the point that Plots and sea captains have something in common Stock market charts may be helpful to physicists The fourth dimension is time. Non-mathematician's are often afraid of the commonplace There is a marked quality to distance
Answer: C
According to the passage, an airlines traffic manager depends upon all of the following EXCEPT latitude altitude the time co-ordinate longitude the continuous curve in co four
Answer: E
The underlying tone of this selection is persuasive deferential candid instructive gently condescending
Answer: D
According to the author if on wishes portray a physical event in which motion plays a role-one has to Make use of a time-table Indicate how position changes in time Be conversant with the scientist's theories Describe it graphically Be aware of altitude, latitude and longitude
Answer: B
Directions for Questions 11-12: Read each sentence to find if there is any grammatical error in it. If there is any error, it will be only one part of the sentence. The number or alphabet of that part is your answer.(Disregard punctuation errors if any)
11. I never have / visited / or intend to visit / foreign countries /
A B C D
Ans: C
12. The clothes / were neatly / hanged /on the cloth line.
A B C D
Ans:C
Directions for Questions 13-15: One of the four sentences given in each question is grammatically wrong . Find the incorrect sentence.
13. A) Our followers are but a handful. B) Neither he nor I was there. C) Many a glorious deeds were done. D) Everyone of the boys loves to ride.
Ans: C
14. A) She had finished her work when I met her. B) Do you believe in God? C) He cut his hand with a knife. D) He challenged me for a duel.
Ans: D
15. A) Sumit is my elder brother. B) He is two years younger to me. C) He is the eldest man of this village. D) Ravi is five years older than me.
Ans: C
Directions for Questions 16-20: In each of the following questions, some sentence are given which are on the same theme. decide which sentence is the most preferable with respect to grammar; meaning and usage, suitable for formal writing in English. Find the correct sentence.
16. A) From which train did you come?
B) A series of incidents have taken place.
C) It is a five men committee.
D) This pronunciation is peculiar to Bengalis.
Ans: D
17. A) They have placed order for books.
B) He has applied for lectureship.
C) The river has overflown its bank.
D) Give me rupees two and a half.
Ans: D
18. A) The proceeds of the charity show are for riot victims
B) He asked Ajay and I to go.
C) The weather of this place does not suit me.
D) Either Rajesh or his friends has done it.
Ans: A
19. A) It is far too hard an essay for me to attempt.
B) It is too far hard an essay to attempt for me.
C) Too far it is an essay hard for me to attempt.
D) It is too hard an essay for me to far attempt
Ans:D
20. A) Hoping to be hearing from you, I remain yours sincerely.
B) Hoping to hear from you, I remain yours sincerely.
C) Hoping to have heard from you, I sincerely remain yours.
D) Sincerely I remain yours hoping to be hearing from you.
Ans: B
Directions for Questions 21-25: In each of the following questions, a paragraph or a sentence has been broken up into different parts. The parts have been scrambled and numbered as given below. Choose the correct order of these parts from the given alternatives.
21. 1) I 2)do 3) a 4) of 5) in 6) lot 7) reading 8) my 9) time 10) free
A. 1, 2, 3, 6, 4, 7, 5, 10, 8, 9 B. 1, 2, 6, 3, 4, 7, 5, 8, 10, 9
C. 1, 2, 3, 6, 7, 4, 5, 8, 10, 9 D. 1, 2, 3, 6, 4, 7, 5, 8, 10, 9
Ans: D
22. 1) on to 2) seat 3) evening 4) Edinburgh 5)the 6) booked 7) flight 8) a 9) time 10)to
A. 9, 6, 8, 2, 1, 5, 3, 7, 10, 4 B. 9, 6, 8, 1, 2, 5, 3, 7, 10, 4 C. 9, 3, 8, 2, 1, 5, 6, 7, 10, 4 D. 9, 6, 1, 2, 5, 8, 3, 7, 10, 4
Ans: A
23. 1) I 2) my 3) leg 4) to 5)hire 6) gardener 7) when 8) a 9) had 10) I 11) broke
A. 1, 9, 4, 5, 8, 6, 7, 10, 11, 3, 2 B. 1, 9, 4, 5, 11, 6, 8, 10, 7, 2, 3
C. 1, 9, 4, 5, 8, 6, 7, 10, 11, 2, 3 D. 1, 4, 9, 5, 8, 6, 7, 10, 11, 2, 3
Ans: C
24. 1) She 2) trust 3) Don't 4) because 5)is 6) her 7) lying
A. 1, 5, 2, 3, 4, 6, 7 B. 3, 2, 6, 4, 1, 5, 7
C. 3, 2, 6, 4, 1, 5, 7 D. 3, 2, 6, 1, 4, 5, 7
Ans: B
25. 1) rent 2)a 3) has 4) room 5)in 6) house 7) she 8) to 9) rent
A. 7, 3, 2, 4, 1, 8, 5, 9, 6 B. 7, 3, 1, 4, 8, 2, 5, 9, 6
C. 7, 3, 2, 4, 8, 1, 5, 9, 6 D. 7, 3, 2, 4, 8, 1, 5, 6, 9
Ans: C
Aanalytical section (25 Questions - 30 mins)Directions for Questions 1-5: There are five friends Sachin, Kunal, Mohit, Anuj and Rohan. Sachin ia shorter than Kunal but taller than Rohan. Mohit is tallest. Anuj is a little shorter than Kunal an little taller than Sachin.
1. Who is the shortest?
(a) Rohan (b) Sachin (c) Anuj (d) Kunal (e) None of these
Ans: A
2. If they stand in the order of their heights, who will be in the middle?
(a) Kunal (b) Rohan (c) Sachin (d) Anuj (e) None of these
Ans: D
3. If they stand in the order of increasing heights, who will be the second?
(a) Anuj (b) Sachin (c) Rohan (d) Kunal (e) None of these
Ans: B
4. Who is the second tallest?
(a) Sachin (b) Kunal (c) Anuj (d) Rohan (e) None of these
Ans: B
5. Who is taller than Anuj but shorter than Mohit?
(a) Kunal (b) Rohan (c) Sachin (d)Date Inadequate (e) None
Ans: A
Directions for Questions 6-10:
6. A group of friends goes for dinner and gets bill of Rs 2400 . Two of them says that they have forgotten their purse so remaining make an extra contribution of Rs 100 to pay up the bill. Tell the no. of person in that group.
Ans - 8 person
7. Given the following functions (1) f(n a b c ) = ac if n=1 (2) f(n a b c) = f( n-1 a c b) + f( 1 a b c) + f( n-1 b a c ) if n > 1 Then what is the value f( 2 a b c ) = ?
Ans: f( 2 a c b ) = ab + ac + bc.
8. There are 600 tennis players 4% wear wrist band on one wrist Of the remaining, 25% wear wrist bands on both hands How many players don't wear a wrist band?
Ans. 432
9. Three types of tea the a,b,c costs Rs. 95/kg,100/kg and70/kg respectively. How many kgs of each should be blended to produce 100 kg of mixture worth Rs.90/kg, given that the quntities of band c are equal
70,15,15 50,25,25 60,20,20 40,30,30
Ans. B
10. If all the 6 are replaced by 9, then the algebraic sum of all the numbers from 1 to 100(both inclusive) varies by
Ans: 330
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