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Logical Reasoning Answers

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    Logical Reasoning

    Answers

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    Number Series

    Direction to Solve

    In each series, look for the degree and

    direction of change between the numbers. Inother words, do the numbers increase or

    decrease, and by how much

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    Q1

    1. Look at this series: 2, 1, (1/2), (1/4), ... What

    number should come next?

    A.(1/3) B.(1/8)C.(2/8) D.(1/16)

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    Q1 Answer

    Answer: Option B

    Explanation:

    This is a simple division series; each number is one-half of theprevious number.

    In other terms to say, the number is divided by 2 successivelyto get the next result.

    4/2 = 2

    2/2 = 1(1/2)/2 =

    (1/4)/2 = 1/8 and so on.

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    Q2

    Look at this series: 7, 10, 8, 11, 9, 12, ... What

    number should come next?

    A.7 B.10C.12 D.13

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    Q2

    Answer: Option B

    Explanation:

    This is a simple alternating addition andsubtraction series. In the first pattern, 3 is

    added; in the second, 2 is subtracted.

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    Q3

    Look at this series: 36, 34, 30, 28, 24, ... What

    number should come next?

    A.20 B.22C.23 D.26

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    Q4

    Look at this series: 53, 53, 40, 40, 27, 27, ...

    What number should come next?

    A.12 B.14C.27 D.53

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    Q5

    Look at this series: 21, 9, 21, 11, 21, 13, 21, ...

    What number should come next?

    A.14 B.15C.21 D.23

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    Type 2

    Look carefully for the pattern, and then choose

    which pair of numbers comes next.

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    Q6

    28 25 5 2118 5 14

    A.11 5 B.10 7

    C.118 D.5 10E.10 5

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    Q6

    Answer: Option A

    Explanation:

    This is an alternating subtraction series withthe interpolation of a random number, 5, as

    every third number. In the subtraction series,

    3 is subtracted, then 4, then 3, and so on.

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    Q7

    9 16 233037 44 51

    A.59 66 B.5662

    C.5866 D.5865E.5461

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    Q7

    Answer: Option D

    Explanation:

    Here is a simple addition series, which beginswith 9 and adds 7.

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    Q8

    2 34 5 648

    A.9 10 B.48

    C.104 D.9 4E.8 9

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    Q8

    Answer: Option D

    Explanation:

    This is an alternating addition series with arandom number, 4, interpolated as every third

    number. In the main series, 1 is added, then 2

    is added, then 1, then 2, and so on.

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    Q9

    17 17 34 20 2031 23

    A.26 23 B.34 20

    C.2333 D.27 28E.23 28

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    Q10

    9 12 1114131615

    A.1413 B.18 21

    C.1417 D.12 13E.1817

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    Q11

    42 403835 3331 28

    A.25 22 B.26 23

    C.26 24 D.25 23E.26 22

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    Q11

    Answer: Option C

    Explanation:

    This is an alternating subtraction series inwhich 2 is subtracted twice, then 3 is

    subtracted once, then 2 is subtracted twice,

    and so on.

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    Q12

    6101418 22 2630

    A.3640 B.3337

    C.3842 D.3436E.3438

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    Find the number that fits somewhere into the

    middle of the series. Some of the items

    involve both numbers and letters

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    Q13

    Look at this series: F2, __, D8, C16, B32, ...

    What number should fill the blank?

    A.A16 B.G4

    C.E4 D.E3

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    Q13

    Answer: Option C

    Explanation:

    The letters decrease by1; the numbers aremultiplied by 2.

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    Q14

    Look at this series: 664, 332, 340, 170, ____,

    89, ... What number should fill the blank?

    A.85 B.97C.109 D.178

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    Q14

    Answer: Option D

    Explanation:

    This is an alternating division and additionseries: First, divide by 2, and then add 8.

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    Q15

    Look at this series: 8, 43, 11, 41, __, 39, 17, ...

    What number should fill in the blank?

    A.8 B.14C.43 D.44

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    Letter and symbol series

    In these series, you will be looking at both the

    letter pattern and the number pattern. Fill the

    blank in the middle of the series or end of the

    series.

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    Q16

    SCD, TEF, UGH, ____, WKL

    A.CMN B.UJI

    C.VIJ D.IJT

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    Answer: Option C

    Explanation:

    There are two alphabetical series here. Thefirst series is with the first letters only: STUVW.

    The second series involves the remaining

    letters: CD, EF, GH, IJ, KL.

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    Q17

    ZA5, Y4B, XC6, W3D, _____

    A.E7V B.V2EC.VE5 D.VE7

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    Q17

    Answer: Option D

    Explanation:

    There are three series to look for here. Thefirst letters are alphabetical in reverse: Z, Y, X,

    W, V. The second letters are in alphabetical

    order, beginning with A. The number series is

    as follows: 5, 4, 6, 3, 7.

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    Q18

    DEF, DEF2, DE2F2, _____, D2E2F3

    A.DEF

    3 B.D3EF

    3

    C.D2E3F D.D2E2F2

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    Q18

    Answer: Option D

    Explanation:

    In this series, the letters remain the same:DEF.

    The subscript numbers follow this series:

    111, 112, 122, 222, 223, 233, 333, ...

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    Verbal Classification

    Three of the words will be in the same

    classification, the remaining one will not be.

    Your answer will be the one word that does

    NOT belong in the same classification as the

    others.

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    Q19

    Which word does NOT belong with the

    others?

    A. inch B. ounceC. centimeter D. yard

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    Q19

    Answer: Option B

    Explanation:

    An ounce measures weight; the other choicesmeasure length.

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    Q20

    Which word does NOT belong with the

    others?

    A.heading B.bodyC.letter D.closing

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    Q20

    Answer: Option C

    Explanation:

    Heading, body, and closing are all parts of aletter; the letter is the whole, not a part.

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    Essential Parts

    Each question has an underlined word

    followed by four answer choices. You will

    choose the word that is a necessary part of

    the underlined word.

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    Q21

    harvest

    A.autumn B.stockpile

    C.tractor D.crop

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    Q21

    Answer: Option D

    Explanation:

    To harvest something, one must have a crop,which is the essential element for this item.

    Autumn (choice a) is not the only time crops

    are harvested. There may not be enough of a

    crop to stockpile (choice b), and you can

    harvest crops without a tractor (choice c).

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    Q22

    book

    A.fiction B.pages

    C.pictures D.learning

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    Q22

    Answer: Option B

    Explanation:

    The necessary part of a book is its pages;there is no book without pages. Not all books

    are fiction (choice a), and not all books have

    pictures (choice c). Learning (choice d) may or

    may not take place with a book

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    Q23

    shoe

    A.sole B.leather

    C.laces D.walking

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    Q23

    Answer: Option A

    Explanation:

    All shoes have a sole of some sort.Not allshoes are made of leather (choice b); nor do

    they all have laces (choice c).Walking (choice

    d) is not essential to a shoe.

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    Analogies

    A good way to figure out the relationship in a

    given question is to make up a sentence that

    describes the relationship between the first

    two words. Then, try to use the same

    sentence to find out which of the answer

    choices completes the same relationship with

    the third word.

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    Q24

    Odometer is to mileage as compass is to

    A.speed B.hiking

    C.needle D.direction

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    Q24

    Answer: Option D

    Explanation:

    An odometer is an instrument used tomeasure mileage. A compass is an instrument

    used to determine direction. Choices a, b, and

    c are incorrect because none is an instrument.

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    Q25

    Exercise is to gym as eating is to

    A. food B.dieting

    C. fitness D.restaurant

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    Q25

    Answer: Option D

    Explanation:

    A gym is a place where people exercise. Arestaurant is a place where people eat. Food(choice a) is not the answer because it issomething people eat, not a place or location

    where they eat. The answer is not choice b orc because neither represents a place wherepeople eat.

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    Type 2

    Choose the picture that would go in the empty

    box so that the two bottom pictures are

    related in the same way as the top two are

    related.

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    Q26

    A.1 B.2

    C.3 D.4

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    Q26

    Answer: Option A

    Explanation:

    Hand is to ring as head is to cap. A ring is wornon a person's hand; a cap is worn on a

    person's head.

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    Q27

    A.1 B.2

    C.3 D.4

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    Q27

    Answer: Option A

    Explanation:

    Cup is to bowl as vacuum cleaner is to broom.This is another relationship about function.

    The cup and bowl are both used for eating.

    The vacuum cleaner and broom are both used

    for cleaning.

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    Q28Type 3

    The words in the bottom row are related in the

    same way as the words in the top row. For

    each item, find the word that completes the

    bottom row of words.

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    Q28

    Candle lamp floodlight

    Hut cottage ?

    A.tent B.cityC.dwelling D.house

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    Q28

    Answer: Option D

    Explanation:

    Above the line, the relationship shows a

    progression of sources of light. The relationship

    below the line shows a progression of types of

    housing, from smallest to largest. (Choice a) is

    incorrect because a tent is smaller than a house.Choices b and c are wrong because they are not

    part of the progression.

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    Q29

    palette easel brush

    textbook lesson plan ?

    A.artist B.teacherC.report card D.paint

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    Q29

    Answer: Option C

    Explanation:

    The objects above the line are all things usedby an artist. The objects below the line are all

    things used by a teacher.

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    Type 4

    Every one of the following questions consists of

    a related pair of words, followed by five pairs

    of words. Choose the pair that best represents

    a similar relationship to the one expressed inthe original pair of words.

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    Q30

    BINDING : BOOK

    A.criminal : gang B.display : museum

    C.artist : carpenter D.nail : hammerE.frame : picture

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    Q30

    Answer: Option E

    Explanation:

    A binding surrounds a book; a framesurrounds a picture.

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    Q31

    PETAL : FLOWER

    A.salt : pepper B.tire : bicycle

    C.base : ball D.sandals : shoesE.puppy : dog

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    Q31

    Answer: Option B

    Explanation:

    A petal is a part of a flower; a tire is a part of abicycle.

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    Q32

    SLAPSTICK : LAUGHTER

    A.fallacy : dismay B.genre : mystery

    C.satire : anger D.mimicry : tearsE.horror : fear

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    Q32

    Answer: Option E

    Explanation:

    Slapstick results in laughter; horror results infear.

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    Artificial Language

    First, you will be given a list of three

    "nonsense" words and their English word

    meanings. The question(s) that follow will ask

    you to reverse the process and translate anEnglish word into the artificial language.

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    Q33

    Here are some words translated from an

    artificial language.

    gorblflurmeans fan belt

    pixngorblmeans ceiling fanarthtuslmeans tile roof

    Which word could mean "ceiling tile"?

    A.gorbltusl B.flurgorblC.arthflur D.pixnarth

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    Q33

    Answer: Option D

    Explanation:

    Gorblmeans fan; flurmeans belt; pixnmeansceiling; arthmeans tile; and tuslmeans roof.

    Therefore,pixnarth is the correct choice.

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    Q34

    Here are some words translated from an

    artificial language.

    hapllesh means cloudburst

    srenchochmeans pinballresbosrenchmeans ninepin

    Which word could mean "cloud nine"?

    A.leshsrench B.ochhaplC.Haploch D.haplresbo

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    Q34

    Answer: Option D

    Explanation:

    Haplmeans cloud; leshmeans

    burst; srenchmeans pin; ochmeans ball;and resbomeans nine. Leshsrench (choice a)doesn't contain any of the words needed forcloud nine. We know that och means ball, so that

    rules out choices b and c. When youcombine hapl(cloud) with resbo (nine), you getthe correct answer

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    Q35

    Here are some words translated from an

    artificial language.

    gemolinea means fair warning

    gerimitu means report cardgilagerimeans weather report

    Which word could mean "fair weather"?

    A.gemogila B.gerigemeC.gemomitu D.gerimita

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    Q35

    Answer: Option A

    Explanation:

    Gemo means fair; linea means warning; gerimeans report;mitumeans card; and gilameans

    weather. Thus, gemogila is the correct choice.

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    Logical Problems

    Each problem consists of three statements.

    Based on the first two statements, the third

    statement maybe true, false, or uncertain.

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    Q36

    Tanya is older than Eric.

    Cliff is older than Tanya.

    Eric is older than Cliff.

    If the first two statements are true, the thirdstatement is

    A.true

    B.false

    C.uncertain

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    Q36

    Answer: Option B

    Explanation:

    Because the first two statements are true,E

    ricis the youngest of the three, so the third

    statement must be false.

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    Q37

    Mara runs faster than Gail.

    Lily runs faster than Mara.

    Gail runs faster than Lily.

    If the first two statements are true, the thirdstatement is

    A.true

    B.false

    C.uncertain

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    Q37

    Answer: Option B

    Explanation:

    We know from the first two statements thatLily runs fastest. Therefore, the third

    statement must be false.

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    Q38

    The Kingston Mall has more stores than theGalleria.The Four Corners Mall has fewer stores than theGalleria.

    The Kingston Mall has more stores than the FourCorners Mall.If the first two statements are true, the thirdstatement is

    A.trueB.false

    C.uncertain

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    Q38

    Answer: Option A

    Explanation:

    F

    rom the first two statements, you know thatthe Kingston Mall has the most stores, so the

    Kingston Mall would have more stores than

    the Four Corners Mall.

    Q39

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    Q39Vincent has a paper route. Each morning, he

    delivers 37 newspapers to customers in hisneighborhood. It takes Vincent 50minutes todeliver all the papers. If Vincent is sick or has otherplans, his friend Thomas, who lives on the same

    street, will sometimes deliver the papers for him.A.Vincent and Thomas live in the sameneighborhood.

    B.It takes Thomas more than 50minutes to deliver

    the papers.C.It is dark outside when Vincent begins hisdeliveries

    D.Thomas would like to have his own paper route.

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    Q39

    Answer: Option A

    Explanation:

    The fact that Vincent and Thomas live on thesame street indicates that they live in the

    same neighborhood. There is no support for

    any of the other choices.

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    Type 2

    The logic problems in this set present you withthree true statements: Fact 1, Fact 2, and Fact3. Then, you are given three more statements

    (labeled I, II, and III), and youmust determinewhich of these, if any, is also a fact. One ortwo of the statements could be true; all of thestatements could be true; or none of the

    statements could be true. Choose your answerbased solely on the information given in thefirst three facts.

    Q40

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    Q40Fact 1:All dogs like to run.

    Fact 2:Some dogs like to swim.

    Fact 3:Some dogs look like their masters.

    If the first three statements are facts, which ofthe following statements must also be a fact?

    I:All dogs who like to swim look like their masters.II:Dogs who like to swim also like to run.

    III:Dogs who like to run do not look like theirmasters.

    A.I only B.II only

    C.II and III only

    D.None of the statements is a known fact.

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    Q40

    Answer: Option B

    Explanation:

    Statement II is the only true statement. Since

    all dogs like to run, then the ones who like to

    swim also like to run. There is no support for

    statement I or statement III.

    Q41

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    Q41Fact 1:Eyeglass frames cost between $35 and $350.

    Fact 2:Some eyeglass frames are made of titanium.

    Fact 3:Some eyeglass frames are made of plastic.

    If the first three statements are facts, which of thefollowing statements must also be a fact?

    I:Titanium eyeglass frames cost more than plasticframes.

    II: Expensive eyeglass frames last longer than cheapframes.

    III: Only a few eyeglass frames cost less than $35.

    A.I only B.II only

    C.II and III only

    D.None of the statements is a known fact.

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    Q41

    Answer: Option D

    Explanation:

    There is no information in the facts to support

    statements I or II. Statement III is clearly

    wrong because, according to Fact 1, no frames

    cost less than $35.

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    Q42

    Four defensive football players are chasing the

    opposing wide receiver, who has the ball. Calvin

    is directlybehind the ball carrier. Jenkins and

    Burton are side by side behind Calvin. Zeller isbehind Jenkins and Burton. Calvin tries for the

    tackle but misses and falls. Burton trips. Which

    defensive player tackles the receiver?

    A.Burton B.Zeller

    C.Jenkins D.Calvin

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    Q42

    Answer: Option C

    Explanation:

    After all the switching was done, Jenkins was

    directlybehind the receiver. Calvin and Burton

    had fallen. Zeller remained in the rear.

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    Q43

    Four people witnessed a mugging. Each gave adifferent description of the mugger. Whichdescription is probably right?

    A.He was average height, thin, and middle-aged.

    B.He was tall, thin, and middle-aged.

    C.H

    e was tall, thin, and young.D.He was tall, of average weight, and middle-aged.

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    Q43

    Answer: Option B

    Explanation:

    Tall, thin, and middle-aged are the elements of

    the description repeated most often and are

    therefore the most likely to be accurate.

    Q44

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    Q44One New York publisher has estimated that 50,000 to 60,000people in the United States want an anthology that includes thecomplete works of William Shakespeare. And what accounts for thisrenewed interest in Shakespeare? As scholars point out, hispsychological insights into both male and female characters areamazing even today.This paragraph best supports the statement that

    A.Shakespeare's characters are more interesting than fictionalcharacters today.B.people even today are interested in Shakespeare's work becauseof the characters.

    C.academic scholars are putting together an anthology ofShakespeare's work.

    D.New Yorkers have a renewed interested in the work ofShakespeare.

    E.Shakespeare was a psychiatrist as well as a playwright.

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    Q44

    Answer: Option B

    Explanation:

    The last sentence in the paragraph clearly givessupport for the idea that the interest in Shakespeare is

    due to the development of his characters. Choice a isincorrect because the writer never makes this type ofcomparison. Choice c is wrong because even thoughscholars are mentioned in the paragraph, there is noindication that the scholars are compiling the

    anthology. Choice d is wrong because there is nosupport to show that most New Yorkers are interestedin this work. There is no support for choice e either.

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    Verbal Reasoning

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    Q45

    Arrange the words given below in a meaningfulsequence.

    1. Key 2. Door 3. Lock

    4. Room 5. Switch on

    A.5, 1, 2, 4, 3

    B.4, 2, 1, 5, 3

    C.1, 3, 2, 4, 5

    D.1, 2, 3, 5, 4

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    Q45

    Answer: Option C

    Explanation:

    The correct order is :

    Key Lock Door Room Switch on

    1 3 2 4 5

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    Q46

    Arrange the words given below in a meaningfulsequence.

    1. Police 2. Punishment

    3. Crime 4. Judge5. Judgement

    A.3, 1, 2, 4, 5

    B.1, 2, 4, 3, 5

    C.5, 4, 3, 2, 1

    D.3, 1, 4, 5, 2

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    Q46

    Answer: Option D

    Explanation:

    The correct order is :

    Crime Police Judge Judgement Punishment

    3 1 4 5 2

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    Blood Relation Test

    The questions which are asked in this section

    depend upon Relation. You should have a

    sound knowledge of the blood relation in

    order to solve the questions.

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    Q47

    Pointing to a photograph of a boy Suresh said,

    "He is the son of the only son ofmymother."

    How is Suresh related to that boy?

    A.Brother B.Uncle

    C.Cousin D.Father

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    Q47

    Answer: Option D

    Explanation:

    The boy in the photograph is the only son of

    the son of Suresh's mother i.e., the son of

    Suresh. Hence, Suresh is the father ofboy.

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    Q48

    If A + B means A is the mother of B;

    A - B means A is the brother B;

    A % B means A is the father of B

    A x B means A is the sister of B,

    which of the following shows that P is thematernal uncle ofQ?

    A.Q- N + M x P B.P + S x N QC.P - M + N x Q D.Q- S % P

    Q48

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    Q48

    Answer: Option C

    Explanation:

    P - M P is the brother of M

    M + N M is the mother ofN

    N x Q N is the sister ofQ

    Therefore, P is the maternal uncle ofQ.

    Q49

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    Q49

    Each of these questions is based on the followinginformation:

    A + B means A is the mother of B.

    A - B means A is the sister of B.

    A * B means A is the father of B.

    A B means A is the brother of B.

    Which of the following means that N is the

    maternal uncle of M?A.N P - L + E M B.N - Y + A M

    C.M - Y * P N D.N C + F * M

    Q49

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    Q49

    Answer: Option A

    Explanation:

    N P N is the brother of P

    P - L P is the sister of L

    L + E L is the mother ofE

    E - M E is the sister of M.

    Hence, L is the mother of M, P is the maternalaunt of M and N is the maternal uncle of M.

    Venn Diagram

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    Venn iagram

    Q50

    Which of the following diagrams indicates the

    best relation between Travelers, Train and Bus ?

    A. B.

    C. D.

    Q50

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    Q50

    Answer: Option C

    Explanation:

    Bus and Train are different from each other

    but some travelers travel bybus and some

    travel by trai

    Q51

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    QIn an organization of pollution control board,engineers are represented by a circle, legal expertsby a square and environmentalist by a triangle.Who is most represented in the board as shown inthe following figure ?

    A. Environmentalists

    B. Legal Experts

    C. Engineers with legal background

    D. Environmentalists with Engineering background

    Q51

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    Q51

    Answer: Option D

    Explanation:

    Environmentalists with Engineering

    background is most represented in the board.

    Q52

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    The diagram given below represents those

    students who play Cricket,F

    ootball and Kabaddi.Study the diagram and identify the students whoplay all the three games.

    A.P + Q+ R B.V + T

    C.S + T + V D.S

    Q52

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    Q52

    Answer: Option D

    Explanation:

    S indicates those students who play all three

    games.

    Arithmetic Reasoning

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    g

    Q53

    The total of the ages of Amar, Akbar and

    Anthony is 80years. What was the total of

    their ages three years ago ?

    A.71years B.72 years

    C.74years D.77 years

    Q53

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    Q53

    Answer: Option A

    Explanation:

    Required sum = (80 - 3 x 3) years = (80 - 9)

    years = 71years.

    Q54

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    Q54

    An institute organised a fete and 1/5 of the

    girls and 1/8 of the boys participated in the

    same. What fraction of the total number of

    students took part in the fete ?

    A.2/13 B.13/40

    C.Data inadequate D.None of these

    Q54

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    Q54

    Answer: Option C

    Q55

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    Q55

    A, B, C, D and E play a game of cards. A says to B, "If

    you give me three cards, you will have as many as E

    has and if I give you three cards, you will have as

    many as D has." A and B together have 10 cardsmore than what D and E together have. If B has two

    cards more than what C has and the total number of

    cards be 133, how many cards does B have ?

    A.22 B.23C.25 D.35

    Q55

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    Q55

    Answer: Option C

    Explanation:

    Clearly, we have :

    B-3 = E ...(i)

    B + 3 = D ...(ii)

    A+B = D + E+10 ...(iii)B = C + 2 ...(iv)

    A+B + C + D + E= 133 ...(v)

    From (i) and (ii), we have : 2 B = D + E ...(vi)

    From (iii) and (vi), we have : A = B + 10 ...(vii)

    Using (iv), (vi) and (vii) in (v), we get:(B + 10) + B + (B - 2) + 2B = 133 5B = 125 B = 25.

    Q56

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    Q56

    A student got twice as many sums wrong as

    he got right. If he attempted 48 sums in all,

    how many did he solve correctly ?

    A.12 B.16

    C.18 D.24

    Q56

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    Q56

    Answer: Option B

    Explanation:

    Suppose the boy got x sums right and 2x sums

    wrong.

    Then, x + 2x = 48 3x = 48 x = 16.

    Q57

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    Q57

    I have a few sweets to be distributed. If I keep

    2, 3 or 4 in a pack, I am left with one sweet. If I

    keep 5 in a pack, I am left with none. What is

    the minimum number of sweets I have to packand distribute ?

    A.25 B.37C.54 D.65

    Q57

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    Q57

    Answer: Option A

    Explanation:

    Clearly, the required number would be such

    that it leaves a remainder of1 when divided

    by 2, 3 or 4 and no remainder when divided by

    5. Such a number is 25.

    Q58

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    Q58

    The taxi charges in a city comprise of a fixedcharge, together with the charge of thedistance covered. For a journey of16 km, the

    charges paid are Rs. 156 and for a journey of24 km, the charges paid are Rs. 204. What willa person have to pay for travelling a distanceof30 km?

    A.Rs. 236 B.Rs. 240C.Rs. 248 D.Rs. 252

    Q58

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    Q58

    Answer: Option B

    Explanation:

    Let the fixed charge be Rs. x and variable charge

    be Rs.y per km. Then,x + 16y = 156 ...(i) and

    x + 24y = 204 ...(ii)

    Solving (i) and (ii), we get: x = 60, y = 6.

    Therefore Cost of travelling 30 km = 60 + 30y =Rs. (60 + 30 x 6) = Rs. 240.

    Q59

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    Q59

    Nitin's age was equal to square of somenumber last year and the following year itwould be cube of a number. If again Nitin's

    age has to be equal to the cube of somenumber, then for how long he will have towait?

    A.10years B.38yearsC.39 years D.64years

    Q59

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    Q59

    Answer: Option B

    Explanation:

    Clearly, we have to first find two numbers whosedifference is 2 and of which the smaller one is aperfect square and the bigger one a perfect cube.

    Such numbers are 25 and 27.

    Thus, Nitin is now 26years old. Since the nextperfect cube after 27 is 64,

    so required time period = (64 - 26) years = 38years.

    Q60

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    Q60

    A printer numbers the pages of a book starting

    with 1 and uses 3189 digits in all. How many

    pages does the book have ?

    A.1000 B.1074

    C.1075 D.1080

    Q60

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    Q60

    Answer: Option B

    Explanation:

    No. of digits in 1-digit page nos. = 1x9 = 9.

    No. of digits in 2-digit page nos. = 2 x 90 = 180.

    No. of digits in 3-digit page nos. = 3 x 900 = 2700.

    No. of digits in 4-digit page nos. = 3189 - (9 + 180 +2700) = 3189 - 2889 = 300.

    Therefore No. of pages with 4-digit page nos. = (300/4)= 75.

    Hence, total number of pages = (999 + 75) = 1074.

    Analytical reasoning

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    Q61

    Find the number of triangles in the given

    figure.

    A.8 B.10

    C.12 D.14

    Q61

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    The figure maybe labelled as shown.The simplest triangles are AHG, AIG, AIB, JFE, CJE and CED i.e. 6 in number.

    The triangles composed of two components each are ABG, CFE, ACJ andEGI i.e. 4 in number.

    The triangles composed of three components each are ACE, AGE and CFDi.e. 3 in number.

    There is only one triangle i.e. AHE composed of four components.Therefore, There are 6 + 4 + 3 + 1 = 14 triangles in the given figure.

    ANS D

    Q62

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    Q62

    Count the number of squares in the givenfigure.

    A.32 B.30C.29 D.28

    Q62Answer: Option B

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    Answer: Option B

    Explanation:

    The figure maybe labelled as shown.

    The simplest squares are ABGF, BC

    HG, CDI

    H, DEJI,

    FGLK, G

    HML,

    HINM,IJON, KLQP, LMRQ, MNSR, NOTS, PQVU, QRWV, RSXW and STYX i.e. 16

    in number.

    The squares composed of four components each are ACMK, BDNL,CEOM, FHRP, GISQ, HJTR, KMWU, LNXV and MOYW i.e. 9 in number.

    The squares composed of nine components each are ADSP, BETQ, FIXU

    and GJYV i.e. 4 in number.There is one square AEYU composed of sixteen components.

    There are 16 + 9 + 4 + 1 = 30 squares in the given figure.