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PART --A ------------------------------------------------------ 1) abcD+abcd+aBCd+aBCD then the simplified function is ( Capital letters are copliments of corresponding letters A=compliment of a) [a] a [b] ab [c] abc [d] a(bc)* [e] mone (bc)*=compliment of bc Ans: e ------------------------------------- 2) A 12 address lines maps to the memory of [a] 1k bytes [b] 0.5k bytes [c] 2k bytes [d] none Ans: b ---------------------------------------- 3) In a processor these are 120 instructions . Bits needed to impliment this instructions [a] 6 [b] 7 [c] 10 [d] none Ans: b ----------------------------------------- 4) In 8085 microprocessor READY signal does.which of the following is incorrect statements [a]It is input to the microprocessor [b] It sequences the instructions Ans : b ---------------------------------------- 5) Return address will be returned by function to [a] Pushes to the stack by call Ans : a ------------------------------------------ 6) n=7623 { temp=n/10; result=temp*10+ result; n=n/10 } Ans : 3267 ---------------------------------------------- 7) If A>B then F=F(G); else B>C then F=G(G); in this , for 75% times A>B and 25% times B>C then,is 10000 instructions are there ,then the ratio of F to G [a] 7500:2500 [b] 7500:625 [c] 7500:625 if a=b=c else 7500:2500 -------------------------------------------------- 8) In a compiler there is 36 bit for a word and to store a character 8bits are needed. IN this to store a character two words are appended .Then for storing a K characters string, How many words are needed. [a] 2k/9 [b] (2k+8)/9 [c] (k+8)/9 [d] 2*(k+8)/9 [e] none Ans: a --------------------------------------------------------- 9) C program code int zap(int n) { if(n<=1)then zap=1; else zap=zap(n-3)+zap(n-1); } then the call zap(6) gives the values of zap [a] 8 [b] 9 [c] 6 [d] 12 [e] 15

Wipro Aptitude

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PART --A ------------------------------------------------------1) abcD+abcd+aBCd+aBCDthen the simplified function is( Capital letters are copliments of corresponding lettersA=compliment of a)

[a] a [b] ab [c] abc [d] a(bc)* [e] mone(bc)*=compliment of bc

Ans: e

-------------------------------------2) A 12 address lines maps to the memory of

[a] 1k bytes [b] 0.5k bytes [c] 2k bytes [d] none

Ans: b

----------------------------------------3) In a processor these are 120 instructions . Bits needed to implimentthis instructions[a] 6 [b] 7 [c] 10 [d] none

Ans: b

-----------------------------------------4) In 8085 microprocessor READY signal does.which of the followingis incorrect statements[a]It is input to the microprocessor[b] It sequences the instructions

Ans : b----------------------------------------

5) Return address will be returned by function to[a] Pushes to the stack by callAns : a------------------------------------------6)n=7623{temp=n/10;result=temp*10+ result;n=n/10}

Ans : 3267----------------------------------------------7) If A>B thenF=F(G);else B>C thenF=G(G);in this , for 75% times A>B and 25% times B>C then,is 10000 instructionsare there ,then the ratio of F to G[a] 7500:2500 [b] 7500:625 [c] 7500:625 if a=b=c else7500:2500--------------------------------------------------8) In a compiler there is 36 bit for a word and to store a character 8bits areneeded. IN this to storea character two words are appended .Then for storing a K characters string,How many words are needed.[a] 2k/9 [b] (2k+8)/9 [c] (k+8)/9 [d] 2*(k+8)/9 [e] none

Ans: a---------------------------------------------------------9) C program code

int zap(int n){if(n<=1)then zap=1;else zap=zap(n-3)+zap(n-1);}then the call zap(6) gives the values of zap[a] 8 [b] 9 [c] 6 [d] 12 [e] 15

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Ans: b---------------------------------------------------------------

PART-B-------1) Virtual memory size depends on[a] address lines [b] data bus[c] disc space [d] a & c [e] none

Ans : a-----------------------------------------------2) Critical section is[a][b] statements which are accessing shared resoursesAns : b-------------------------------------------------

3) load amul astore t1load bmul bstore t2mul t2add t1

then the content in accumulator is

Ans : a**2+b**4---------------------------------------------------4) question (3) in old paper5) q(4) in old paper6) question (7) in old paper7) q(9) in old paper------------------------------

Q21 - Q23. Four questions given on the below dataX,Yand Z are senior engineers. A,B,C,D are junior engineers. Company wants to select 4 enginers. Two will be senior and two will be juniors. The company wants these engineers to work in the most productive way so they respect each person's likes/dislikes.Y is not friends with AZ is not friends with CB is not friends with AIf B is selected then who will be the remaining 4 members ?If C is selected, Z and ___ cannot be selected?D is always selected if ___ is selected?Q24. A speaks truth 70% of the times, B speaks truth 80% of the times.What is the probability that both are contradicting each other is ?Q25. ?((2x-3)/((x2 +x+1)2 )dx is ?Q26. Ram starts from A walking 2 km North and turns right and walks 4 km and turns right again and walks 4 km and turns right again and walks 4 km and meets Radha at Bwalking in the opposite direction to Ram .a) Which direction does Ram walk after the first turn?b) Distance between A and BQ27. If the equation x2 - 3x + a = 0 has the roots (0,1) then value of a is ?Q28. A and B's temperature are 10?c and 20?c having same surface , then their ratio of rate of emmisions is ?Q29. An atomic particle exists and has a particlular decay rate . It is in a train . When the train moves, a person observes for whether the decay rate(a) increases(b) decreases(c) depend on the directions of movement of trainQ30. Which of the following exchanges positive ions(a).cl-(b) nh2-(c) ch2Ans. (b)Q31. After execution of CMP, a instruction in Intel 8085 microprocessor(a) ZF is set and CY is reset.(b) ZF is set CY is unchanged(c) ZF is reset, CY is set(d) ZF is reset , CY is unchanged .Ans. ZF is set and CY is resetQ32. The best tool for editing a graphic image is ?Q33. Network scheme definesa.)one to one

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b.) many to manyc.) one to ,many ?Q34. A person wants to measures the length of a rod.First he measures with standing ideally then he maeasures bymoving parrel to the rod(a)the length will decrease in second case(b)length will be same(c) length will increse in the second case.Q35. One U-230 nucleus is placed in a train moving by velocity emiting alpha rays .When the train is at rest thedistance between nucleus and alpha particle is x . One passenger is observing the particle . When the train is movingwhat is the distance between particle and nucleus ?(a) x(b) x + vt(c) x - vtQ36. What is the resulting solution when benzene and toluene are mixed ?Q37. If the word FADENCOMT equals 345687921 thenWhat is FEATFind representation of 2998Q38. Given 10 alphabets out of which 5 are to be chosen. How many words can be made with atleast one repetition.Q39. Arrange by acidic values : phenol, nitrotolouene and o-cresol?Q40. Find sum of 3 + 5/(1+22) + 7/(1 + 22 + 32) + ......Ans. 3n/(1 + n)The following are few sample questions that maybe asked in the software paper.We haven't been able to give the values in certain problems ; only the type of questions have been mentioned.Q What sorting algos have their best and worst case times equal ?Ans. O(nlogn) for mergesort and heap sortQ. What page replacement algo . has minimumn number of page faults ?Ans. Optimality algorithmQ. What is the use of virtual base class in c++Ans. Multiple lines between derived classes.Q. Find the eccentricity of a given node in a directed graphQ. Convert the infix to postfix for A-(B+C)*(D/E)Ans. ABC+DE/*-Q. What is swappingQ. Assignment operator targets toAns. l-valueQ. A byte addressable computer has memory capacity of 2 power m Kbytes and can perform 2 power n operationsan instruction involving three operands and one operator needs maximum of ---bitsAns. 3m + nQ. In round robin scheduling, if time quatum is too large then it degenerates toAns. FCFSQ. What is network schema?Q. Packet Burst is ______Q. Picard's method uses _______?Ans. Successive Differentiation.26. If the letters of the word "rachit" are arranged in all possible ways and these words are writtenout as in a dictionary, what is the rank of the word "rachit".(a) 485(b) 480(c) 478(d) 481Ans. (d)27. Ravi's salary was reduced by 25%.Percentage increase to be effected to bring the salaryto the original level is(a) 20%(b) 25%(c) 33 1/3%(d) 30%Ans. (c)28. A and B can finish a piece of work in 20 days .B and C in 30 days and C and A in 40 days.In how many days will A alone finish the job(a) 48(b) 34 2/7(c) 44(d) 45Ans. (a)29. How long will a train 100m long travelling at 72kmph take to overtake another train200m long travelling at 54kmph(a) 70sec(b) 1min(c) 1 min 15 sec(d) 55 secAns. (b)30. What is the product of the irrational roots of the equation (2x-1)(2x-3)(2x-5)(2x-7)=9?(a) 3/2(b) 4(c) 3

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(d) 3/4Ans. (a)39.? All toffees are chocolates? Some toffees are not good for health(a) Some chocolates are not good for health(b) Some toffees are good for health(c) No toffees are good for health(d) Both (a) and (b)Ans. (a)The questions 40-46 are based on the following pattern.The problems below contain a question and two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the questions.The correct answer is(A) If statement (I) alone is sufficient but statement (II) alone is not sufficient.(B) If statement(II) alone is sufficient but statement(I) alone is not sufficient.(C) If both statements together are sufficient but neither of statements alone is sufficient.(D) If both together are not sufficient.(E) If statements (I) and (II) are not sufficient40. What is the volume of a cubical box in cubic centimetres?(I) One face of the box has an area of 49 sq.cms.(II) The longest diagonal of the box is 20 cms.Ans. D41. Is z positive?(I) y+z is positive(II) y-z is positiveAns. E42. Is x>y ? x, y are real numbers?(I) 8x = 6y(II) x = y + 4Ans. B43. If a ground is rectangular, what is its width?(I) The ratio of its length to its breadth is 7:2(II) Perimeter of the playground is 396 mts.Ans. C44. If the present age of my father is 39 yrs and my present age is x yrs, what is x?(I) Next year my mother will be four times as old as i would be.(II) My brother is 2 years older than I and my father is 4 years older than my mother.Ans. C45. How many brothers and sisters are there in the family of seven children?(I) Each boy in the family has as many sisters as brothers(II) Each of the girl in the family has twice as many brothers as sistersAns. D46. x is not equal to 0, is x + y = 0?(I) x is the reciprocal of y(II) x is not equal to 1Ans. A

Following questions are based on letter's analogy.First pair of letters should have the same relationship as the second pair of letters or vice versa.47. ? : BGLQ : : YDIN : VAFK(a) EKNS(b) DKMT(c) DLMS(d) EJOT

Ans. (d)48. NLO : RPS : : ? : ZXA(a) VUW(b) VTR(c) VTW(d) TRPAns. (c)49. If "segment" is coded as rffndou, then "ritual" is coded as(a) shutbm(b) qjutbk(c) qhutbk(d) qhubtkAns. (c)50. If "football" is "cricket" ,"cricket" is "basketball" ,"basketball" is "volleyball","volleyball" is "khokho" and "khokho" is cricket, which is not a ball game?(a) cricket(b) football(c) khokho

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(d) basketballAns. (a)51. Which of the following is a recursive set of production(a) S --a|A, A --S(b) S --a|A, A --b(c) S -->aA, A-->S(d) None of theseAns. (c)

) The author of the passage is of the opinion that a. The world is merciless to a few persons b. Behind every successful there is a women c. All other people seem to be luckier than the author d. We must keep cool even in difficult times

2) What is the general observation about human nature that the writer makes? a. People generally hate to be tied to a schedule or routine b. People generally feel that they can progress by following a schedule c. People feel that they alone are overburdened and being treated crudely d. People follow routines happily because they require less effort.

3) According to the above passage, we must a. Not involve ourselves too much in the work that we do b. Avoid keeping hectic schedules because they must harm our body. c. Be loathing to put time and sweet into our bodies. d. Run neck and neck with God's timetable less we lag behind.

4) The result of many things we do results in- a. Enhancing our personality b. Bettering our organizational and creative ability c. Giving us knowledge and experience d. All the above

5) From the following sets of words, choose the word correctly spelt a. Accomodate b. Acommodate c. Accommodate d. Accommodate

6) Select the option that gives the correct meaning of the given idiomatic expression or phrase. "A rising star" a. A star that rises the highest in the sky b. A star which shines the most. c. A person coming into prominence d. A star that appears only once in a month.

7) Select among the given choices the word or phrase for each blank that best fits the meaning of the sentence as a whole.The recent nuclear threat is the _________ of 12 years of terrorist attacks, which have inflicted on us more casualties both military and civilian than Iraq did on Kuwait a. Culminationb. Reflection c. Dogma d. Defiance

8) Select the option that can be substituted the given sentence a. Condolenceb. Calumnyc. Obituary d. Corrigendum

9) Given below are sentences which when arranged logically form a coherent passage? Choose the given option which gives the correct sequence.

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A) The alternative was a blitz by the Error! Hyperlink reference not valid. workers to popularize preventive measures. B) The information was considered inadequate. C) People have been reading about AIDS in the mass media D) Nobody is sure as to low effective this would be. E) People were also not being influenced enough to take preventive measures. a. CBADE b. ABCDE c. BACDE d. CDABE

10) chose the lettered pair that express a relationship most similar to the relationship expressed in the capitalized pair HOBBLE ::WALK a. Gallop ::Run b. Stammer::Speak c. Stumble::Fall d. Sniff::Smell

11) Select among the given choices the word or phrase for each blank that best fits the meaning of the sentence as a whole. While there is hope in the one-day game, where Indian team has at last cast aside the chains of________________thought, there is a very long journey to make in Test cricket a. Delinguent b. Delirious c. Decadent d. Disruptive

12) Select among the given choices the word or phrase to replace the underlined phrase ion the following sentence Our departure from this place from now depends on they coming here. a. Depends on them coming here b. Depends on their coming here c. Depend on their's coming here d. Depends on their's coming here

13) Choose the lettered pair that express relationship most similar to the relationship expressed in the capitalized pair. FRAYED::FABRIC a. Thawed::Ice b. Renovated::Building c. Frazzled::Nerves d. Watered::Lawn

14) Select the option that gives the correct meaning of the given idiomatic expression or phrase "To wash one's hand off" a. To wash one's hand with water b. To wash one's hand with soap c. To disclaim the entire responsibility d. To put one's firm in trouble

15) Given below are sentences which when arranged logically from a coherent passage. Choose the given option which gives the correct sequence. A) What is amazing is that resending of decisions does not seem to be one bit embarrass the government. B) "Rollback" appears to have now became an institutionalized decision making process of the government C) This is the certainly suggested by the frequency on prices and subsidies are announced and them the status quo restored in part or in full. D) It has well and truly functioning an integral part of the functioning of the government. E) Even the word, "Rollback", has became a permanent entry lexicon of political discourse. a. ABCDE b. BCADE c. BCDAE d. EBDCA

16) Choose the lettered pair that expresses relationship most similar to the relationship expressed in the capitalized pair. LACHRYMOSE::TEARS a. Effusive::requests b. Ironic::jests c. Morose::speeches d. Verbose::words

17) Select among the given choices that is most nearly opposite word "AUTONOMY"

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a. submissiveness b. dependence c. subordination d. slavery

18) Select among the given choices that is most nearly similar word "OCCULT" a. Dreadful b. Harmless c. Amazing d. Mysterious

19) Given below are words three of which belong to same category. Find the word which does not belong to that category a. Convulse b. Soothe c. Compose d. Assuage

20) One of the words each set of four words is misspell. Choose the misspell word. a. Effeminate b. Endeavour c. Exhilaration d. Exhaustion

ANALYTICAL SECTION (21-40)

21) Ashok bought 16kg of wheat at the rate of Rs 11.50 per kg and 14 kg wheat at rate of Rs 14.50 per kg. He mixed the two and sold the mixture at the rate of 13.50 kg. What is his gain in the transaction ?a) Rs 16 b) Rs 18 c) Rs 24 d) Rs 28

22) What is the probability of answering a multiple choice question correctly, If you know that one of the answer if definitely wrong but you have to guess between the 3 remaining answers? a) 1/4 b) 3/4 c) 1/2 d) 1/3

23) What should come in place of question mark (?) in the following number series? 66, 132, 792 , ? a. 1584 b. 2376 c. 1246 d. 2674

24) The difference between two numbers is one-seventh of the sum of these numbers two numbers. What is the ratio of the two numbers? a. 3:4 b. 4:3 c. 2:3 d. 3:2

25) On return from a business trip Mr. Chidambaram was to be picked up from the railway station by his coachman. Someone he managed a train connection earlier and thus arrived two hours too early. Immediately on arrived he rang up home for the coach and was told that it had just left in order to be exactly in time for the train by which he was scheduled to come. To save the time he started walking homeward at 3kmph. On the way he met the coachman who brought him home an hour before schedule. How far is the Mr. Chidambaram's house from the railway station? a. 12 Km b. 15 Km

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c. 18 Km d. 23 Km

26) A train travelled from Delhi to Patna and back in a certain time at the rate of 60kmph.But if the train had travelled from Delhi to Patna at rate of rate 80Kmph. And back from Patna to Delhi at the rate of 40Kmph. It would take two hours Longer. Find the distance between Delhi and Patna? a. 480Km b. 460Km c. 450Km d. 465Km

27) On a certain pasture the grass grows at an even rate. It knows that 40 cows can graze on it for 40 days before the grass is exhausted, but 30 cows can graze there as long as 60 days. How many would the pasture last if 20 Cows were to graze on it? a. 140days b. 100 days c. 110 days d. 120 days

28) Most people in the United States view both neither big nor small business as particulary efficient or dynamic and regard both as providing consumers with fairly priced goods and services. However, most people consistently perceive small business as a force for good in Society, whereas bid business is perceived as socially responsible only in times of prosperity. The statement above, if true, would provide the strongest support for which one of the following hypotheses? a. Most of the people in the United states give little thought to the value of business to society. b. If small business were regarded as being more dynamic, it, too, would receive strongly favorable ratings only in times of general prosperity. c. Many people in the united states regard the social responsibility of big business as extending beyond providing consumers with fairly priced goods and services. d. Even if people did not regard big business as providing consumers with value for their money, they would still regard it as socially responsible in times of general prosperity.

29) In the first innings of the First Test match between India and West Indians at Sabina Park, Kingston. February 18 to 23 1971, the bowling honors' in the Indians team were shared by B.S.Bedi, E.A.S. Prasanna and S.Venkataraghavan. Can you, based on the following statements, conclude the number of wickets each took? 1) Either Bedi took 5 wickets and S.Venkataraghavan took 3, or Prasanna took one more than S.Venkataraghavan. 2) Either Bedi took half the wickets or one of the players was run out. 3) The sum of Bedi's victims and double those of prasanna is one more than three times Venkataraghavan's. a) Bedi-2, Prasanna-4, and Venkataraghavan-3b) Bedi-3, Prasanna-4, and Venkataraghavan-2 c) Bedi-2, Prasanna-4, and Venkataraghavan-4 d) Bedi-2, Prasanna-5, and Venkataraghavan-3

30) The Basic College Council is made up of representatives from the departments in the various divisions. From the science Division is one representative from each of the departments of chemistry, Mathematics, and Biology. The social Science Division provides a representative each History, Linguistics, and Economics. A representative from Philosophy and one from Rhetoric serve for the Humanities Division All Council Committees are made up entirely of Council members. Each Committee has exactly four members. Each Committee has at least one member from each Division. The representative from chemistry will not serve on a Committee with the representative from Biology. The representatives from Mathematics and Economics always serve on the same Committees. The representative from Rhetoric will only serve on a Committee on which the representative from Biology or the one from Economics, or both, serve. a. Chemistry, Mathematics, History, Economics b. Chemistry, Mathematics, History, Philosophy c. Biology, History, Economics, Rhetoric d. Mathematics, Biology, Economics, Rhetoric

31) A train leaves New York City at 7.15 Am and arrives in Buffalo at 2.47 that afternoon. What total length of time does the trip take?

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a. 6hrs, 28mins b. 7hrs, 12mins c. 7hrs, 32mins d. 8hrs, 12mins

32) After several attempts to district his young parrot from Chewing on furniture, George reluctantly took an expert's advice and gently hit the parrot's beak whenever the bird started to chew furniture, The bird stopped chewing furniture, but it is now afraid of hands and will sometimes bite. Since Chewing on the furniture would not have hurt the bird, George should not have hit it. When Carla's puppy escaped from her yard, it bounded into a busy street. Although Carla does not generally approve of physical discipline, she hit the puppy sharply with her hand. Now the puppy enters the street only when accompanied by Carla, so, Carla was justified in disciplining the puppy. Which one of the following principles, if established, would justify the judgments about George's and Carla's actions? a. When disciplining an animal physically, a trainer should use an object such as a rolled up newspapers to avoid making the animal frightened of hands. b. When training an animal, physical discipline should be used only when such discipline is necessary to correct behavior that could result in serious harm to the animal. c. Using physical discipline to train an animal is justified only when all alternative strategies for the correcting undesirable behavior have failed. d. Physical discipline should not be used on immature animals.

33) In a Conventional Clock, how many times does the minutes hand pass the hour hand between noon and midnight? a. 8 times b. 10 times c. 12 times d. 15 times

34) If 24+35=28, 15+49=24, and 69+37=50 then 27+48=? a. 27 b. 36 c. 48 d. 59

35) Its not easy having a mathematics professor as a friend. When she invited you to her house she says, "All the houses on my side of the street are numbered consecutively in even numbers. There are Six houses on my Side of my block and sum of their numbers is 9870. You don't know which block I live on, and it's a long street, but I will tell you that I live in the lowest number on my side of the block. What's the number? Or are you just going to ring the first- numbered doorbell for twenty blocks? a. 1580 b. 1640 c. 1650 d. 1680

36) The time to complete a standardized exam is approximately normal with a mean of 70 minutes and a standard deviation of 10 minutes. Suppose the students are given 1 hour to complete the exam. The proportion of students who don't complete the exam is a. 0.500 b. 0.159 c. 0.341 d. 0.841

37) Rajesh brought a TV priced at Rs 2000. He was given two Successive discounts of 10 and 5 percent. If he has to pay percent sales tax, the net amount he paid was a. Rs 2663.40 b. Rs 2660 c. Rs 2350 d. Rs 2460

38) A drawer contains a number of Red and Blue socks. If I pull two out of random, then the chance of them being a Red pair is a half and chance of them being a blue pair is a twelfth. How many socks are in the drawer?

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a. 120 b. 140 c. 150 d. 160

39) A Clock strikes every hour-once at 1.00, twice at 2.00, and so on. The clock takes 6 seconds to strike 5.00 and 12 seconds to strike 9.00. the time needed to strike 1.00 is negligible. How long does the clock need for all its striking in 24hours? a. 168 Secs b. 178 Secs c. 188 Secs d. 198 Secs

40) Grandpa was feeling generous, so he gave a total of Rs 100 to his Five grandchildren. Starting with the Youngest each got Rs 2.00 more than the next Younger one. In Other words, the youngest got one sum, the next got Rs 2.00 more, and so on. How much did the Youngest Grandchild get? a. 14 b. 15 c. 16 d. 17

TECHNICAL SECTION (41-50)

41) Which of the following is not associated with magnetic memory?a. Sector b. Pit c. Track d. All of these

42) NASSCOMa. IT services Industry body b. Manufacturing Industry body c. Infrastructure Industry body d. None of the above

43) Which of the following is not a codeca. DiVX b. EVid c. FLAC d. XviD

44) Which of the following Chipmaker has designed Athlon? a. Intel b. Freescale c. AMD d. IBM

45) Which of the following is a formatted input function in ‘C' a. getchar() b. getche() c. gets() d. None of these

46) Rank the following 4 items in terms of access speed: 1. Main Memory 2. Magnetic Disk 3. Registers 4. Cache a. 1,2,3,4 b. 1,3,4,2 c. 3,4,1,2 d. 3,1,4,2

47) What kind of a structure is a queue?a. First in First out

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b. First in last out c. First in middle out d. First in second last

48) A Jazz drive is a separate drive. What is the storage space of Jazz drivea. 100KB b. 20-40 GB c. 1-2 GB d. 650 MB

49) Which of the following is doesn't affect resolution of a video Display image? a. Bandwidth b. Raster Scan rate c. Vertical and Horizontal lines of resolution d. Screen size

50) Which of the following statement are applicable to LINUX?i. Multi-User and Multi-Tasking ii. Open Source OS iii. Developed at AT&T's Bell Laboratory, USA a. (i) only b. (ii) only c. Both (i) and (ii) d. (i), (ii) and (iii)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Aptitude Questions and Answers~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~1.If 2x-y=4 then 6x-3y=?(a)15(b)12(c)18(d)10

Ans. (b)2.If x=y=2z and xyz=256 then what is the value of x?

(a)12(b)8(c)16(d)6

Ans. (b)3. (1/10)18 - (1/10)20 = ?(a) 99/1020(b) 99/10(c) 0.9(d) none of theseAns. (a)4.Pipe A can fill in 20 minutes and Pipe B in 30 mins and Pipe C canempty the same in 40 mins.If all of them work together, find the timetaken to fill the tank(a) 17 1/7 mins(b) 20 mins(c) 8 mins(d) none of theseAns. (a)5. Thirty men take 20 days to complete a job working 9 hours a day.Howmany hour a day should 40 men work to complete the job?(a) 8 hrs(b) 7 1/2 hrs(c) 7 hrs(d) 9 hrsAns. (b)6. Find the smallest number in a GP whose sum is 38 and product 1728(a) 12(b) 20(c) 8(d) none of theseAns. (c)7. A boat travels 20 kms upstream in 6 hrs and 18 kms downstream in 4hrs.Find the speed of the boat in still water and the speed of the

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water current?(a) 1/2 kmph(b) 7/12 kmph(c) 5 kmph(d) none of theseAns. (b)8. A goat is tied to one corner of a square plot of side 12m by a rope7m long.Find the area it can graze?(a) 38.5 sq.m(b) 155 sq.m(c) 144 sq.m(d) 19.25 sq.mAns. (a)9. Mr. Shah decided to walk down the escalator of a tube station. Hefound that if he walks down 26 steps, he requires 30 seconds toreach the bottom. However, if he steps down 34 stairs he would onlyrequire 18 seconds to get to the bottom. If the time is measured fromthe moment the top step begins to descend to the time he steps offthe last step at the bottom, find out the height of the stair way insteps?Ans.46 steps.10. The average age of 10 members of a committee is the same as it was4 years ago, because an old member has been replaced by a youngmember. Find how much younger is the new member ?Ans.40 years.11. Three containers A, B and C have volumes a, b, and c respectively;and container A is full of water while the other two are empty. Iffrom container A water is poured into container B which becomes 1/3full, and into container C which becomes 1/2 full, how much water isleft in container A?12. ABCE is an isosceles trapezoid and ACDE is a rectangle. AB = 10and EC = 20. What is the length of AE?Ans. AE = 10.13. In the given figure, PA and PB are tangents to the circle at A andB respectively and the chord BC is parallel to tangent PA. If AC = 6cm, and length of the tangent AP is 9 cm, then what is the length ofthe chord BC?Ans. BC = 4 cm.15 Three cards are drawn at random from an ordinary pack of cards.Find the probability that they will consist of a king, a queen and an ace.Ans. 64/2210.16. A number of cats got together and decided to kill between them999919 mice. Every cat killed an equal number of mice. Each catkilled more mice than there were cats. How many cats do you thinkthere were ?Ans. 991.17. If Log2 x - 5 Log x + 6 = 0, then what would the value / values ofx be?Ans. x = e2 or e3.18. The square of a two digit number is divided by half the number.After 36 is added to the quotient, this sum is then divided by 2.The digits of the resulting number are the same as those in theoriginal number, but they are in reverse order. The ten's place ofthe original number is equal to twice the difference between itsdigits. What is the number?Ans. 4619.Can you tender a one rupee note in such a manner that there shallbe total 50 coins but none of them would be 2 paise coins.?Ans. 45 one paisa coins, 2 five paise coins, 2 ten paise coins, and 1twenty-five paise coins.20.A monkey starts climbing up a tree 20ft. tall. Each hour, it hops3ft. and slips back 2ft. How much time would it take the monkey toreach the top?Ans.18 hours.21. What is the missing number in this series? 8 2 14 6 11 ? 14 6 18 12Ans. 922. A certain type of mixture is prepared by mixing brand A at Rs.9 akg. with brand B at Rs.4 a kg. If the mixture is worth Rs.7 a kg., howmany kgs. of brand A are needed to make 40kgs. of the mixture?Ans. Brand A needed is 24kgs.23. A wizard named Nepo says "I am only three times my son's age. Myfather is 40 years more than twice my age. Together the three of usare a mere 1240 years old." How old is Nepo?Ans. 360 years old.24. One dog tells the other that there are two dogs in front of me.The other one also shouts that he too had two behind him. How many are

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they?Ans. Three.25. A man ate 100 bananas in five days, each day eating 6 more thanthe previous day. How many bananas did he eat on the first day?Ans. Eight.26. If it takes five minutes to boil one egg, how long will it take toboil four eggs?Ans. Five minutes.27. The minute hand of a clock overtakes the hour hand at intervals of64 minutes of correct time. How much a day does the clock gain or lose?Ans. 32 8/11 minutes.28. Solve for x and y: 1/x - 1/y = 1/3, 1/x2 + 1/y2 = 5/9.Ans. x = 3/2 or -3 and y = 3 or -3/2.29. Daal is now being sold at Rs. 20 a kg. During last month its ratewas Rs. 16 per kg. By how much percent should a family reduce itsconsumption so as to keep the expenditure fixed?Ans. 20 %.30. Find the least value of 3x + 4y if x2y3 = 6.Ans. 10.31. Can you find out what day of the week was January 12, 1979?Ans. Friday.32. A garrison of 3300 men has provisions for 32 days, when given at arate of 850 grams per head. At the end of 7 days a reinforcementarrives and it was found that now the provisions will last 8 daysless, when given at the rate of 825 grams per head. How, many more mencan it feed?Ans. 1700 men.33. From 5 different green balls, four different blue balls and threedifferent red balls, how many combinations of balls can be chosentaking at least one green and one blue ball?Ans. 3720.34. Three pipes, A, B, & C are attached to a tank. A & B can fill itin 20 & 30 minutes respectively while C can empty it in 15 minutes.If A, B & C are kept open successively for 1 minute each, how soonwill the tank be filled?Ans. 167 minutes.35. A person walking 5/6 of his usual rate is 40 minutes late. What ishis usual time? Ans. 3 hours 20 minutes.

36.For a motorist there are three ways going from City A to City C. Byway of bridge the distance is 20 miles and toll is $0.75. A tunnelbetween the two cities is a distance of 10 miles and toll is $1.00 forthe vehicle and driver and $0.10 for each passenger. A two-lanehighway without toll goes east for 30 miles to city B and then 20miles in a northwest direction to City C.

1. 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

Ans. (a)

2. The most economical way of going from City A to City B, in terms oftoll and distance is to use the

(a) tunnel(b) bridge(c) bridge or tunnel(d) toll free highway(e) bridge and highway

Ans. (a)

3. Jim usually drives alone from City C to City A every working day.His firm deducts a percentage of employee pay for lateness. Whichfactor 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 thebridge

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Ans. (a)

4. In choosing between the use of the bridge and the tunnel the chieffactor(s) would be:I. Traffic and road conditionsII. Number of passengers in the carIII. Location of one's homes in the center or outskirts of one of thecitiesIV. 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

Ans. (a)

37.The letters A, B, C, D, E, F and G, not necessarily in that order,stand for seven consecutive integers from 1 to 10D is 3 less than AB is the middle termF is as much less than B as C is greater than DG is greater than F

1. The fifth integer is(a) A(b) C(c) D(d) E(e) F

Ans. (a)

2. A is as much greater than F as which integer is less than G(a) A(b) B(c) C(d) D(e) E

Ans. (a)

3. If A = 7, the sum of E and G is(a) 8(b) 10(c) 12(d) 14(e) 16

Ans. (a)

4. A - F = ?(a) 1(b) 2(c) 3(d) 4(e) Cannot be determined

Ans. (a)

5. An integer T is as much greater than C as C is greater than E. Tcan be written as A + E. What is D?(a) 2(b) 3(c) 4(d) 5(e) Cannot be determined

Ans. (a)

6. The greatest possible value of C is how much greater than thesmallest possible value of D?(a) 2(b) 3(c) 4(d) 5(e) 6

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Ans. (a)

38.1. All G's are H's2. All G's are J's or K's3. All J's and K's are G's4. All L's are K's5. All N's are M's6. No M's are G's

1. 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

Ans. (a)

2. Which of the following can be logically deduced from the conditionsstated?

(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

Ans. (a)

3. Which of the following is inconsistent with one or more of theconditions?

(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

Ans. (a)

4. The statement "No L's are J's" isI. Logically deducible from the conditions statedII. Consistent with but not deducible from the conditions statedIII. Deducible from the stated conditions together with the additionalstatement "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

Ans. (a)

39.In country X, democratic, conservative and justice parties havefought three civil wars in twenty years. TO restore stability anagreement is reached to rotate the top offices President, PrimeMinister and Army Chief among the parties so that each party controlsone and only one office at all times. The three top office holdersmust each have two deputies, one from each of the other parties. Eachdeputy must choose a staff composed of equally members of his or herchiefs party and member of the third party.

1. When Justice party holds one of the top offices, which of thefollowing 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 partymembers(c) Two of the deputies within the other offices are justice party members(d) Two of the deputies within the other offices are conservativeparty members(e) Some of the staff members within the other offices are justiceparty members.

Ans. (a)

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2. When the democratic party holds presidency, the staff of the primeminister's deputies are composedI. One-fourth of democratic party membersII. One-half of justice party members and one-fourth of conservativeparty membersIII. One-half of conservative party members and one-fourth of justiceparty 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

Ans. (a)

3. Which of the following is allowable under the rules as stated:

(a) More than half of the staff within a given office belonging to asingle 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 herimmediate superior(d) Half the total number of staff members in all three officesbelonging to a single party(e) Half the staff members in a given office belonging to partiesdifferent from the party of the top office holder in that office.

Ans. (a)

4. The office of the Army Chief passes from Conservative to Justiceparty. 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 inthe chief of staff office(d) The Conservative deputy and all of his or her staff membersbelonging to Conservative party(e) No deputies and all staff members belonging to conservative parties.

Ans. (a)

40.In recommendations to the board of trustees a tuition increase of$500 per year, the president of the university said "There were nostudent demonstrations over the previous increases of $300 last yearand $200 the year before". If the president's statement is accuratethen which of the following can be validly inferred from theinformation given:I. Most students in previous years felt that the increases werejustified because of increased operating costs.II. Student apathy was responsible for the failure of students toprotest 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

Ans. (a)

41. The office staff of XYZ corporation presently consists of threebookeepers--A, B, C and 5 secretaries D, E, F, G, H. The management isplanning to open a new office in another city using 2 bookeepers and 3secretaries of the present staff . To do so they plan to seperatecertain individuals who don't function well together. The followingguidelines were established to set up the new officeI. Bookeepers A and C are constantly finding fault with one anotherand should not be sent together to the new office as a teamII. C and E function well alone but not as a team , they should beseperatedIII. D and G have not been on speaking terms and shouldn't go togetherIV Since D and F have been competing for promotion they shouldn't be ateam

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1.If A is to be moved as one of the bookeepers,which of the followingcannot be a possible working unit.

A.ABDEHB.ABDGHC.ABEFHD.ABEGH

Ans.B

2.If C and F are moved to the new office,how many combinations arepossible

A.1B.2C.3D.4

Ans.A

3.If C is sent to the new office,which member of the staff cannot gowith C

A.BB.DC.FD.G

Ans.B

4.Under the guidelines developed,which of the following must go to thenew office

A.BB.DC.ED.G

Ans.A

5.If D goes to the new office,which of the following is/are true

I.C cannot goII.A cannot goIII.H must also go

A.I onlyB.II onlyC.I and II onlyD.I and III only

Ans.D

42.After months of talent searching for an administrative assistant tothe president of the college the field of applicants has been narroweddown to 5--A, B, C, D, E .It was announced that the finalist would bechosen after a series of all-day group personal interviews wereheld.The examining committee agreed upon the following procedure

I.The interviews will be held once a weekII.3 candidates will appear at any all-day interview sessionIII.Each candidate will appear at least onceIV.If it becomes necessary to call applicants for additonalinterviews, no more 1 such applicant should be asked to appear thenext weekV.Because of a detail in the written applications,it was agreed thatwhenever candidate B appears, A should also be present.VI.Because of travel difficulties it was agreed that C will appear foronly 1 interview.1.At the first interview the following candidates appear A,B,D.Whichof the follwing combinations can be called for the interview to beheld next week.

A.BCDB.CDEC.ABED.ABC

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Ans.B

2.Which of the following is a possible sequence of combinations forinterviews in 2 successive weeks

A.ABC;BDEB.ABD;ABEC.ADE;ABCD.BDE;ACD

Ans.C

3.If A ,B and D appear for the interview and D is called foradditional interview the following week,which 2 candidates may beasked to appear with D?

I. AII BIII.CIV.EA.I and IIB.I and III onlyC.II and III onlyD.III and IV only

Ans.D

4.Which of the following correctly state(s) the procedure followed bythe search committee

I.After the second interview all applicants have appeared at least onceII.The committee sees each applicant a second timeIII.If a third session,it is possible for all applicants to appear atleast twice

A.I onlyB.II onlyC.III onlyD.Both I and II

Ans.A

43. A certain city is served by subway lines A,B and C and numbers 1 2and 3When it snows , morning service on B is delayedWhen it rains or snows , service on A, 2 and 3 are delayed both in themorning and afternoonWhen temp. falls below 30 degrees farenheit afternoon service iscancelled in either the A line or the 3 line,but not both.When the temperature rises over 90 degrees farenheit, the afternoonservice 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 theC line which connects the A line, is delayed.When service on the 3 line is cancelled, service on the B line whichconnects the 3 line is delayed.Q1. On Jan 10th, with the temperature at 15 degree farenheit, itsnows all day. On how many lines will service beaffected, including both morning and afternoon.(A) 2(B) 3(C) 4(D) 5Ans. D

Q2. On Aug 15th with the temperature at 97 degrees farenheit it beginsto rain at 1 PM. What is the minimum numberof lines on which service will be affected?(A) 2(B) 3(C) 4(D) 5Ans. C

Q3. On which of the following occasions would service be on thegreatest number of lines disrupted.

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(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 farenheitAns. B

44. In a certain society, there are two marriage groups, red andbrown. No marriage is permitted within a group. On marriage, malesbecome part of their wives groups; women remain in their own group.Children belong to the same group as their parents. Widowers anddivorced males revert to the group of their birth. Marriage to morethan one person at the same time and marriage to a direct descendantare forbiddenQ1. A brown female could have hadI. A grandfather born RedII. A grandmother born RedIII Two grandfathers born Brown(A) I only(B) III only(C) I, II and III(D) I and II onlyAns. D

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 groupAns. A

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-husbandAns. B

Q4. If widowers and divorced males retained their group they had uponmarrying which of the following would be permissible ( Assume that noprevious 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.Ans. D

Q5. I. All G's are H'sII. All G's are J's or K'sIII All J's and K's are G'sIV All L's are K'sV All N's are M'sVI No M's are G's45. There are six steps that lead from the first to the second floor.No two people can be on the same stepMr. A is two steps below Mr. CMr. B is a step next to Mr. DOnly one step is vacant ( No one standing on that step )Denote the first step by step 1 and second step by step 2 etc.1. 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.Ans: (d)2. If Mr. E was on the third step & Mr. B was on a higher step thanMr. E which step must be vacant(a) step 1(b) step 2(c) step 4(d) step 5(e) step 6Ans: (a)3. 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

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(d) 4&5 only(e) 2&4 onlyAns: (c)4. If there were two steps between the step that A was standing andthe step that B was standing on, and A was on a higher step than D , Amust be on step(a) 2(b) 3(c) 4(d) 5(e) 6Ans: (c)

5. Which of the following is false

i. B&D can be both on odd-numbered steps in one configurationii. In a particular configuration A and C must either both an oddnumbered steps or both an even-numbered stepsiii. 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 iiiAns: (c)

46. Six swimmers A, B, C, D, E, F compete in a race. The outcome is asfollows.i. B does not win.ii. Only two swimmers separate E & Diii. A is behind D & Eiv. B is ahead of E , with one swimmer interveningv. F is a head of D1. Who stood fifth in the race ?(a) A(b) B(c) C(d) D(e) EAns: (e)2. How many swimmers seperate A and F ?(a) 1(b) 2(c) 3(d) 4(e) cannot be determinedAns: (d)3. The swimmer between C & E is(a) none(b) F(c) D(d) B(e) AAns: (a)

4. If the end of the race, swimmer D is disqualified by the Judgesthen swimmer B finishes in which place(a) 1(b) 2(c) 3(d) 4(e) 5Ans: (b)47. Five houses lettered A,B,C,D, & E are built in a row next to eachother. The houses are lined up in the order A,B,C,D, & E. Each of thefive houses has a colored chimney. The roof and chimney of eachhousemust 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 houseuses.v. House E has a green roof.vi. House B has a red roof and a black chimney1. Which of the following is true ?(a) At least two houses have black chimney.(b) At least two houses have red roofs.

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(c) At least two houses have white chimneys(d) At least two houses have green roofs(e) At least two houses have yellow roofsAns: (c)2. 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.Ans: (b)3. 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 chimneyAns: (a)4. Which possible combinations of roof & chimney can houseI. A red roof 7 a black chimneyII. A yellow roof & a red chimneyIII. A yellow roof & a black chimney

(a) I only(b) II only(c) III only(d) I & II only(e) I&II&IIIAns: (e)48. Find x+2y(i). x+y=10(ii). 2x+4y=20Ans: (b)

49. Is angle BAC is a right angle(i) AB=2BC(2) BC=1.5ACAns: (e)50. Is x greater than y(i) x=2k(ii) k=2yAns: (