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Analytical section

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

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       


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  

6. 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 goalie 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

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.


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


19.  (11000101010000111)2=(   )16

Ans:  (18A87)16

20. (01001110)2 = (  )8

 Ans: (116)8


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       


C) 16        

D) 25

Ans: D

22.  How many cubes have all the faces uncoloured ?

A) 24      


C) 48       

D) 64


23.  How many cubes have atleast two faces coloured ?

A) 19       


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

Directions to Solve : (26-30)

Each of the following questions contains a small paragraph followed by a question on it. Read each paragraph carefully and answer the question given below it.

26.  The prevention of accidents makes it necessary not only that safety devices be used to guard exposed machinery but also that mechanics be instructed in safety rules which they must follow for their own protection, and that lighting in the plant be adequate.

The passage best supports the statement that industrial accidents -

A. are always avoidable;

B. may be due to ignorance.

C. cannot be entirely overcome.

D. can be eliminated with the help of safety rules.

E. usually result from inadequate machinery.

Answer:  D

27.  To forgive an injury is often considered to be a sign of weakness; it is really a sign of strength. It is easy to allow oneself to be carried away by resentment and hate into an act of vengeance; but it takes a strong character to restrain those natural passions. The man who forgives an injury proves himself to be the superior of the man who wronged himself and puts the wrong-doer to shame.

The passage best supports' the statement that:

A. the sufferer alone knows the intensity of his sufferings.

B. people tend to forgive the things happened in the past.

C. natural passions are difficult to suppress.

D. mercy is the noblest form of revenge.

E. a person with calm and composed nature has depth of thought and vision.

Answer:  D

28.  Industrial exhibitions play a major role in a country's economy. Such exhibitions, now regularly held in Delhi, enable us to measure the extent of our own less advanced industrial progress and the mighty industrial power and progress of countries like the U.K., U.S.A. and Russia whose pavilions are the centres of the greatest attention and attractions.

The passage best supports the statement that industrial exhibitions -

A. greatly tax the poor economies.

B. are more useful for the developed countries like U.S.A. whose products stand out superior to those of the developing countries.

C. are not of much use to the countries who are industrially backward.

D. boost up production qualitatively and quantitatively by analytical comparison of a country's products with those of the developed countries.

Answer:  D

29.  The school has always been the most important means of transferring the wealth of tradition form one generation to the next. This applies today in an even higher degree than in former times for, through the modern development of economy, the family as bearer of tradition and education has become weakened.

This passage best supports the statement that for transferring the wealth of tradition from one generation to the next -

A. there are means other than the school.

B. several different sources must be tried.

C. economic development plays a crucial role

D. modern technology must be put to use.

E. family, as ever, is the most potent means.

Answer:  C

30.  Emerson said that the poet was landlord, Sealord, airlord. The flight of imagination made the poet master of land, sea and air. But a poet's dream of yesterday becomes today an actual achievement and a reality for all men. Even those who invented, improved and perfected the aeroplane could hardly have dreamt of the possibility of flight into outer space.

The passage best supports the statement that:

A. seemingly impossible imaginations make one a good poet,

B. all imaginations become a reality some day.

C. what man imagined has never been impossible; he has always turned it a reality through his conception of ideas and sheer hard labour.

D. man has reached the climax of technological development with his exploration into outer space.

Answer:  C

Verbal section

Directions for Questions 1-5:

Read the passage and answer the questions that follow on the basis of the information provided in the passage.

For a period of more than two centuries paleontologists have been intrigued by the fossilized remains of pterosaurs, the first flying vertebrates. The issues, which puzzle them, are how these heavy creatures, having a wingspan of about 8-12 meters managed the various problems associated with powered flight and whether these creatures were reptiles or birds.

Perhaps the least controversial assertion about the pterosaurs is that they were reptiles. Their skulls, pelvises, and hind feet are reptilian. The anatomy of their wings suggests that they did not evolve into the class of birds. In pterosaurs a greatly elongated fourth finger of each forelimb supported a winglike membrane. The other fingers were short and reptilian, with sharp claws. In birds the second finger is the principal strut of the wing, which consists primarily of feathers. If the pterosaurs walked on all fours, the three short fingers may have been employed for grasping. When a pterosaurs walked or remained stationary, the fourth finger, and with it the wing, could only urn upward in an extended inverted V- shape along each side of the animal's body.

In resemblance they were extremely similar to both birds and bats, with regard to their overall body structure and proportion. This is hardly surprising as the design of any flying vertebrate is subject to aerodynamic constraints. Both the pterosaurs and the birds have hollow bones, a feature that represents a savings in weight. There is a difference, which is that the bones of the birds are more massively reinforced by internal struts.

Although scales typically cover reptiles, the pterosaurs probably had hairy coats. T.H. Huxley reasoned that flying vertebrates must have been warm-blooded because flying implies a high rate of metabolism, which in turn implies a high internal temperature. Huxley speculated that a coat of hair would insulate against loss of body heat and might streamline the body to reduce drag in flight. The recent discovery of a pterosaur specimen covered in long, dense, and relatively thick hair like fossil material was the first clear evidence that his reasoning was correct.

Some paleontologists are of the opinion that the pterosaurs jumped from s dropped from trees or perhaps rose into the light winds from the crests of waves in order to become airborne. Each theory has its associated difficulties. The first makes a wrong assumption that the pterosaurs hind feet resembled a bat's and could serve as hooks by which the animal could hang in preparation for flight. The second hypothesis seems unlikely because large pterosaurs could not have landed in trees without damaging their wings. The third calls for high aces to channel updrafts. The pterosaurs would have been unable to control their flight once airborne as the wind from which such waves arose would have been too strong.


1.As seen in the above passage scientists generally agree that:

A. the pterosaurs could fly over large distances because of their large wingspan.

B. a close evolutionary relationship can be seen between the pterosaurs and bats, when the structure of their skeletons is studied.

C. the study of the fossilized remains of the pterosaurs reveals how they solved the problem associated with powered flight

D. the pterosaurs were reptiles

E. Pterosaurs walked on all fours.

Answer : D

2.As inferred from the passage, the skeleton of a pterosaur is distinguishable from that of a bird by the

A. length of its wingspan

B. hollow spaces in its bones

C. anatomic origin of its wing strut

D. evidence of the hooklike projections on its hind feet

E. location of the shoulder joint joining the wing to its body.

Answer : C

3. From the viewpoint of T.H.Huxley, as given in the passage, which of the following statements is he most likely to agree with?

A. An animal can master complex behaviors irrespective of the size of it's brain.

B. Environmental capabilities and physical capabilities often influence the appearance of an animal.

C. Usually animals in a particular family group do not change their appearance dramatically over a period of time

D. The origin of flight in vertebrates was an accidental development rather than the outcome of specialization or adaption

E. The pterosaurs should be classified as birds, not reptiles.

Answer : B

4. The organization of the last paragraph of the passage can best be described as:

A. New data is introduced in order to support a traditional point of view

B. Three explanations are put forth and each of them is disputed by means of specific information

C. An outline of three hypotheses are given and evidence supporting each of them is given

D. Description of three recent discoveries is presented, and their implications for future study are projected

E. The material in the earlier paragraphs is summarized and certain conclusions are from it.

Answer : B

5. According to the passage, some scientists believe that pterosaurs

A. Lived near large bodies of water

B. Had sharp teeth for tearing food

C. Were attacked and eaten by larger reptiles

D. Had longer tails than many birds

E. Consumed twice their weight daily to maintain their body temperature.

Answer : A

Directions for Questions 6-10:

Read the passage and answer the questions that follow on the basis of the information provided in the passage.

After his father's death, writer Laurence Yep returned to San Francisco to look for the apartment house where his family had lived, which also housed their grocery store. It had been replaced by a two-story parking garage for a nearby college. There were trees growing where the store door had been. I had to look at the street signs on the corner to make sure I was in the right spot. Behind the trees  was a door of solid metal painted a battleship gray Stretching to either side were concrete walls with metal grates bolted over the openings in the sides. The upper story of the garage was open to the air but through the grates I could look into the lower level. The gray, oil-stained concrete spread onward endlessly, having replaced the red cement floor of our store. Lines marked parking places where my parents had laid wooden planks to ease the ache and chill on their feet. Where the old-fashioned glass store counter had been was a row of cars. I looked past the steel I-beams that formed the columns and ceiling of the garage, peering through the dimness in an attempt to locate where my father's garden had been; but there was only an endless stretch of cars within the painted stalls. We called it the garden though that was stretching the definition of the word because it was only a small, narrow cement courtyard on the north side of our apartment house. There was only a brief time during the day when the sun could reach the tiny courtyard; but fuchsia bushes, which loved the shade, grew as tall as trees from the dirt plot there. Next to it my father had fashioned shelves from old hundred-pound rice cans and planks; and on these makeshift shelves he had his miniature flower patches growing in old soda pop crates from which he had removed the wooden dividers. He would go out periodically to a wholesale nursery by the beach and load the car with boxes full of little flowers and seedlings which he would lovingly transplant in his shadowy garden. If you compared our crude little garden to your own backyards, you would probably laugh; and yet the cats in the neighborhood loved my father's garden almost as much as he did--to his great dismay The cats loved to roll among the flowers, crushing what were just about the only green growing things in the area. Other times, they ate them-perhaps as a source of greens. Whatever the case, my father could have done without their destructive displays of appreciation. I don't know where my father came by his love of growing things. He had come to San Francisco as a boy and, except for a brief time spent picking fruit, had lived most of his life among cement, brick, and asphalt. I hadn't thought of my father's garden in years; and yet it was the surest symbol of my father. Somehow he could persuade flowers to grow within the old, yellow soda pop crates though the sun seldom touched them; and he could coax green shoots out of what seemed like lifeless sticks. His was the gift of renewal. However, though I stared and stared, I could not quite figure out where it had been. Everything looked the same; more concrete and more cars. Store, home and garden had all been torn down and replaced by something as cold, massive and impersonal as a prison. Even if I could have gone through the gate, there was nothing for me inside there. If I wanted to return to that lost garden, I would have to go back into my own memories. Award-winning author Laurence Yep did return to his father's garden in his memories. In 1991 he published The Lost Garden an autobiography in which he tells of growing up in San Francisco and of coming to use his writing to celebrate his family and his ethnic heritage.

6. The author is searching for something as he looks through the window of a parking garage. What is he searching for?

A. A particular car

B. The red cement floor of an old store

C. Reminders of the past

D. Evidence of his father's financial success

Ans: C

7. What kind of work did the author's father do?

A. He was a professional gardener

B. He worked in a parking garage.

C. He owned a restaurant.

D. He owned a store.


8. What idea does the story suggest about the author's parents?

A. They both worked hard to support their family

B. They had encouraged their son to become a writer

C. They had not wanted to see a parking garage replace their home.

D. They had been farmers most of their lives.


9. What do you know about the father's garden?

A. It grew in spite of being neglected.

B. The cats would eat all the plants before they grew

C. It flourished in an unlikely spot.

D. It didn't grow well because of lack of sun.


10. Why are details about the neighborhood cats included in this story?

A. To show how much the garden meant to the family.

B. To show how important this garden was to the author's father.

C. To show how had the author worked at helping his father.

D. To show that the author's father loved animals as well as plants.

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 shall / ring him / tomorrow / in the afternoon.

       A            B                 C                    D

Ans: B


12. I enjoyed / during my / stay in / England.

         A              B                C              D




Directions for Questions 13-15:

 one of the four sentences given in each question is grammatically wrong . Find the incorrect sentence.

13.  A) the odds are against him.

       B) Let me thread the needle .

      C) A nurse is taking care of him.

      D) I don't know if snow is falling.

 Ans. D


14.   A) Let me put my sign here.

        B) These cattle are mine.

        c) He examined the book closely.

        D) He has no knowledge of and no interest in music.

Ans: A


15.   A)  He has no desire for fame.

        B)  I intend going to Calcutta.

        C)  He is too miserly to part with his money.

        D)  He has invited me for dinner.

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. Our school had won the match if only we have concentrated .

        B. Our school would have won the match if only  we would have concentrated.

        C.  Our school would win the match if only  we had concentrated.

        D. Our school had won the match if only we would have concentrated.

        E. Our school would have won the match if only we had concentrated.

Ans: E


17.     A. He will not pay unless he is  not compelled

          B. He will not pay unless he will be compelled .

          C . He will not pay unless he is compelled

          D. he will not pay till he i s compelled.

Ans: C


18.  A.  Since he lacked needed money , he never turned down anyone who needed help.

      B. He wasn't rich by any means, although he never turned down  anyone who needed help.

     C. Being not rich by any means, but he never turned away anyone who needed help.

     D. He wasn't rich by any means, but he never turned away anyone who needed help.

     E. Since he wasn't rich by any means, he never turned away anyone who needed help.

Ans: D


19.   A) I was asked to stop writing.

        B) She denied to go with me.

        C) My hairs stood on end.

        D) I am reading this novel for four days.

 Ans. D


  20.  A. The teacher asked the student with a frown on his face, to leave the room.

         B.  The teacher asked with a frawn on his face the student to leave the room.

         C.  With a frawn on his face, the teacher asked the student to leave the room.

         D.  The teacher asked the student to leave the room with  a frawn on his face .

Ans:  C


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