Aptitude Test 4

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    Birla Institute of Technology, Mesra, Ranchi - Question Set

    raining & Placement Division

    MOCK TEST

    SUB - APTITUDE

    . A wizard named Nepo says "I am only three times my son's age. My father is 40 years m

    an twice my age. Together the three of us are a mere 1240 years old." How old is Nepo ?180360240480

    . One dog tells the other that there are two dogs in front of me. The other one also shouts te too had two behind him. How many are they?1234

    . A man ate 100 bananas in five days, each day eating 6 more than the previous day. How many banana

    d he eat on the first day?8122510

    . If it takes five minutes to boil one egg, how long will it take to boil four eggs?510

    2015

    . The minute hand of a clock overtakes the hour hand at intervals of 64 minutes of correctme. How much a day does the clock gain or lose?32 7/11 minutes32 1/11 minutes32 10/11 minutes32 8/11 minutes

    . Bhanu spends 30% of his income on petrol on scooter. of the remaining on house rent e balance on food. If he spends Rs.300 on petrol then what is the expenditure on house ren

    Rs.525Rs.1000Rs.675Rs.175

    . If the numerator of a fraction is increased by 25% and denominator decreased by 20%, thew value is 5/4. What is the original value?3/54/57/83/7

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    . The length of a rectangle is increased by 60%. By what % would the width have to beecreased to maintain the same area?30%60%75%37.5%

    . A sporting goods store ordered an equal number of white and yellow balls. The tennis bal

    ompany delivered 45 extra white balls, making the ratio of white balls to yellow balls 1/5 :/6. How many white tennis balls did the store originally order for?450270225None of these

    0 . A student's grade in a course is determined by 6 quizzes and one examination. If thexamination counts thrice as much as each of the quizzes, what fraction of final grade isetermined by the examination?1/61/5

    1/3

    1 . If As salary is 25% higher than Bs salary, how mucher cent is Bs salary lower than As?15%20%25%33 1/3 %

    2 . The length of the longest rod that can be placed in a room which is 12 m long, 9 m broadnd 8 m high is:

    27 m19 m17 m13 m

    3 . The curved surface of a right circular cone of height 15 cm and base diameter 16 cm is:

    120cm2

    60 cm2

    136 cm2

    68 cm2

    4 . Qu e s t i o n s 1 4 - 1 9 a r e b a s ed o n t h e f o l l o w i n g p a t t e r n . T h e p r o b l e m s b e lo w c o n t a i n a q u e sn d t w o s t a t e m e n t s g iv i n g c e r t a i n d a t a . Y ou h a v e t o d e c id e w h e t h e r t h e d a t a g i v e n i n t h e

    a t e m e n t s a r e s u f f i ci e n t f o r a n s w e r i n g t h e q u e s t i o n s .

    hat is John's Age ?) In 15 years John will be twice as old as Dias would beI) Dias was born 5 years agoIf statement (I) alone is sufficient but statement (II) alone is not sufficient.If statement (II) alone is sufficient but statement(I) alone is not sufficient.If both statements together are sufficient but neither of statements alone is sufficient.If both together are not sufficient.

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    5 . What is the distance from city A to city C in kms?) City A is 90 kms from City BI) City B is 30 kms from City CIf statement (I) alone is sufficient but statement (II) alone is not sufficient.If statement (II) alone is sufficient but statement(I) alone is not sufficient.If both statements together are sufficient but neither of statements alone is sufficient.If both together are not sufficient.

    6 . Is A=C ? A,B,C are real numbers) A-B=B-CI) A-2C = C-2BIf statement (I) alone is sufficient but statement (II) alone is not sufficient.If statement (II) alone is sufficient but statement(I) alone is not sufficient.If both statements together are sufficient but neither of statements alone is sufficient.If both together are not sufficient.

    7 . What is the 30th term of a given sequence ?) The first two terms of the sequence are 1,1/2I) The common difference is -1/2If statement (I) alone is sufficient but statement (II) alone is not sufficient.

    If statement (II) alone is sufficient but statement(I) alone is not sufficient.If both statements together are sufficient but neither of statements alone is sufficient.If both together are not sufficient.

    8 . Was Avinash early, on time or late for work?) He thought his watch was 10 minutes fastI) Actually his watch was 5 minutes slowIf statement (I) alone is sufficient but statement (II) alone is not sufficient.If statement (II) alone is sufficient but statement(I) alone is not sufficient.If both statements together are sufficient but neither of statements alone is sufficient.If both together are not sufficient.

    9 . What is the value of A if A is an integer?) A4 = 1I) A3 + 1 = 0If statement (I) alone is sufficient but statement (II) alone is not sufficient.If statement (II) alone is sufficient but statement(I) alone is not sufficient.If both statements together are sufficient but neither of statements alone is sufficient.If both together are not sufficient.

    0 . A person travels 12 km in the southward direction and then travels 5km to the right anden travels 15km toward the right and finally travels 5km towards the east, how far is he fros starting place?5.5 kms

    3 km13 km6.4 km

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    1 . D i r e c t io n s Fo r QN ( 2 1 - 2 5 ) : Ch o o s e t h e l e t t e r e d w o r d o r p h r a s e t h a t i s m o s t n e a r l y o p p o sm e a n in g t o t h e w o r d i n c ap i t a l l e t t e r s

    MPROMPTUCarefully rehearsedWidely recognizedNarrowly focussedPurposefully vague

    2 . BALLOONRegain completelyDecrease slowlyRespond rapidlyRequest humbly

    3 . AVIDIndependentInquisitiveSwiftIndifferent

    4 . MOROSEFast talkingQuick wittedLightheartedCasual

    5 . ANOMALYPredicted occurrenceTemporary solutionEasy problemContinuous process

    6 . D i r e c t io n s Fo r QN ( 2 6 - 3 0 ) : Ea c h q u e s t i o n h a s f o u r i t e m s . S el e ct t h e i t e m t h a t d o e s n o t e lo n g t o t h i s g r o u p SpiritualDevoutPiousAtheist

    7 . Choose any oneProhibitWarrantPermit

    Allow

    8 . Choose any oneExtrovertReticentAmiableGregarious

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    9 . Choose any oneReposeDozeSlumberAgitation

    0 . Choose any oneJeer

    ScoffSweepDeride

    1 . Cable-television spokesperson: Subscriptions to cable television are a bargain inomparison to "free" television. Remember that "free" television is not really free. It isonsumers, in the end, who pay for the costly advertising that supports "free" television.hich of the following, if true, is most damaging to the position of the cable-television

    pokesperson?Consumers who do not own television sets are less likely to be influenced in their purchasing decisionlevision advertising than are consumers who own television sets.Subscriptions to cable television include access to some public-television channels, which do not accep

    dvertising.For locations with poor television reception, cable television provides picture quality superior to thatovided by free television.There is as much advertising on many cabletelevision channels as there is on "free" television channe

    2 . Woodsmoke contains dangerous toxins that cause changes in human cells. Becauseoodsmoke presents such a high health risk, legislation is needed to regulate the use of oper fires and wood-burning stoves.hich of the following, if true, provides the most support for the argument above?The amount of dangerous toxins contained in woodsmoke is much less than the amount contained in ual volume of automobile exhaust.Within the jurisdiction covered by the proposed ?legislation, most heating and cooking is done with oi

    atural gas.Smoke produced by coal-burning stoves is significantly more toxic than smoke from woodburning stoIn valleys where wood is used as the primary heating fuel, the concentration of smoke results in poor

    uality.

    3 . Within 20 years it will probably be possible to identify the genetic susceptibility andividual may have toward any particular disease. Eventually, effective strategies will bescovered to counteract each such susceptibility. Once these effective strategies are found,erefore, the people who follow them will never get sick.

    he argument above is based on which of the following assumptions?For every disease there is only one strategy that can prevent its occurrence.In the future, genetics will be the only medical specialty of any importance.

    All human sicknesses are in part the result of individuals' genetic susceptibilities.All humans are genetically susceptible to some ?diseases.

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    4 . Most employees in the computer industry move from company to company, changing jobeveral times in their careers. However, Summit Computers is known throughout the industrr retaining its employees. Summit credits its success in retaining employees to its informal

    onhierarchical work environment.hich of the following, if true, most strongly supports Summit's explanation of its success intaining employees?Some people employed in the computer industry change jobs if they become bored with their currentojects

    A hierarchical work environment hinders the cooperative exchange of ideas that computer industrymployees consider necessary for their work.Many of Summit's senior employees had previously worked at only one other computer company.In a nonhierarchical work environment, people avoid behavior that might threaten group harmony anus avoid discussing with their colleagues any dissatisfaction they might have with their jobs.

    5 . Financing for a large construction project was provided by a group of banks. When theoney was gone before the project was completed, the banks approved additional loans. Nowith funds used up again and completion still not at hand, the banks refuse to extend furtherans, although without those loans, the project is doomed.hich of the following, if true, best explains why the bank's current reaction is different fromeir reaction in the previous instance of depletion of funds?

    The banks have reassessed the income potential of the completed project and have concluded that tocome generable would be less than total interest due on the old plus the needed new loans.The banks have identified several other projects that offer faster repayment of the principal if loans a

    pproved now to get those projects started.The banks had agreed with the borrowers that the construction loans would be secured by the compleoject.The cost overruns were largely due to unforeseeable problems that arose in the most difficult phase oe construction work.

    6 . Co d i n g / D e co d i n g

    xonomy:classification ::

    economy:rationalizationautonomy:authorizationetymology:derivationtautology:justification

    7 . moderator:debate ::legislator:electionchef:banquetauditor:lectureconspirator:plot

    8 . glossary:words ::

    catalogue:datesatlas:mapsalmanac:synonymsthesaurus:rhymes

    9 . lumber: bear ::roost:henbray:donkeywaddle:gooseswoop:hawk

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    0 . celerity:snail ::indolence:slothcunning:weaselcuriosity:cathumility:peacock

    1 . Fo r QN ( 4 1 - 4 4 ) I n c o u n t r y X , d em o c r a t i c , c o n s e r v a t i v e an d j u s t i ce p a r t i e s h a v e f o u g h t r e e ci v i l w a r s in t w e n t y y e a r s . T O r e s t o r e s t a b i l i t y a n a g r e em e n t i s r e a ch e d t o r o t a t e t h e t o

    f i ce s Pr e s id e n t , P r i m e M i n i s t e r a n d A r m y Ch i e f a m o n g t h e p a r t i e s s o t h a t e a c h p a r t y c o n t r on e a n d o n l y o n e o f f i ce a t a l l t i m e s . T h e t h r e e t o p o f f i c e h o l d e r s m u s t e a c h h a v e t w o d e p u t i e

    n e f r o m e a ch o f t h e o t h e r p a r t i e s. Ea c h d e p u t y m u s t c h o o s e a s t a f f co m p o s e d o f e q u a l ly

    e m b e r s o f h i s o r h e r c h ie f s p a r t y a n d m em b e r o f t h e t h i r d p a r t y .

    hen Justice party holds one of the top offices, which of the following cannot be trueSome of the staff members within that office are justice party membersSome of the staff members within that office are democratic party membersTwo of the deputies within the other offices are justice party membersTwo of the deputies within the other offices are conservative party members

    2 . When the democratic party holds presidency, the staff of the prime minister's deputies a

    omposedOne-fourth of democratic party members. One-half of justice party members and one-fourth of conservative party membersI. One-half of conservative party members and one-fourth of justice party members.I onlyI and II onlyII or III but not bothI and II or I and III

    3 . Which of the following is allowable under the rules as stated:More than half of the staff within a given office belonging to a single partyHalf of the staff within a given office belonging to a single party

    Any person having a member of the same party as his or her immediate superiorHalf the total number of staff members in all three offices belonging to a single party

    4 . The office of the Army Chief passes from Conservative to Justice party. Which of thellowing must be fired.The democratic deputy and all staff members belonging to Justice partyJustice party deputy and all his or hers staff membersJustice party deputy and half of his Conservative staff members in the chief of staff office

    The Conservative deputy and all of his or her staff members belonging to Conservative party

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    Birla Institute of Technology, Mesra, Ranchi - Question Set

    5 . In recommendations to the board of trustees a tuition increase of $500 per year, theresident of the university said "There were no student demonstrations over the previouscreases of $300 last year and $200 the year before". If the president's statement is accuraen which of the following can be validly inferred from the information given:Most students in previous years felt that the increases were justified because of increased

    perating costs.. Student apathy was responsible for the failure of students to protest the previous tuitioncreases.

    I. Students are not likely to demonstrate over new tuition increases.I onlyII onlyI or II but not bothI, II and III

    6 . Fo r QN ( 4 6 - 4 9 ) A f t e r m o n t h s o f t a l e n t s e a r ch i n g f o r a n a d m i n is t r a t iv e a s si s t a n t t o t h e e s i d e n t o f t h e c o l l e g e t h e f i e ld o f a p p l ic a n t s h a s b e e n n a r r o w e d d o w n t o 5 - - A , B , C, D , E . I t

    a s an n o u n c e d t h a t t h e f i n a l i st w o u l d b e c h o s e n a f t e r a se r i e s o f a l l - d a y g r o u p p e r s o n a l

    t e r v ie w s w e r e h e ld .T h e ex a m i n in g c o m m i t t e e ag r e e d u p o n t h e f o l l o w i n g p r o c ed u r e I .T h e

    t e r v ie w s w i l l b e h e ld o n c e a w e e k

    . 3 ca n d i d a t e s w i l l ap p e a r a t a n y a l l - d a y i n t e r v i e w s e ss io n

    I .Ea c h ca n d i d a t e w i l l ap p e a r a t l e a st o n c e V .I f i t b e c om e s n e ce s sa r y t o c a l l a p p l ic a n t s f o r a d d i t o n a l i n t e r v i e w s , n o m o r e 1 s u c h a p p l i c a

    h o u ld b e a s k e d t o a p p e ar t h e n e x t w e e k

    B e ca u s e o f a d e t a i l in t h e w r i t t e n a p p l i c a t i o n s ,i t w a s ag r e e d t h a t w h e n e v e r c a n d i d a t e B

    p p e a r s , A sh o u l d a l so b e p r e s e n t .

    .B e ca u s e o f t r a v e l d i f f ic u l t i e s i t w a s a g r e e d t h a t C w i l l a p p e a r f o r o n l y 1 i n t e r v i e w .

    t the first interview the following candidates appear A,B,D.Which of the follwing combinatioan be called for the interview to be held next week.BCDCDEABE

    ABC

    7 . Which of the following is a possible sequence of combinations for interviews in 2 successeeks.ABC;BDE.ABD;ABEADE;ABCBDE;ACD

    8 . If A ,B and D appear for the interview and D is called for additional interview the followineek,which 2 candidates may be asked to appear with D?A

    BI.C

    V.EI and II onlyI and III onlyII and III onlyIII and IV only

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    9 . Which of the following correctly state(s) the procedure followed by the search committefter the second interview all applicants have appeared at least once.The committee sees each applicant a second timeI.If a third session,it is possible for all applicants to appear at least twiceI onlyII onlyIII onlyBoth I and II

    0 . A certain city is served by subway lines A,B and C and numbers 1 2 and 3hen it snows , morning service on B is delayedhen it rains or snows , service on A, 2 and 3 are delayed both in the morning and afternoonhen temp. falls below 30 degrees farenheit afternoon service is cancelled in either the A lin

    r the 3 line,ut not both.hen the temperature rises over 90 degrees farenheit, the afternoon service is cancelled inther the line C or theline but not both.hen the service on the A line is delayed or cancelled, service on the C line which connects tline, is delayed.

    hen service on the 3 line is cancelled, service on the B line which connects the 3 line iselayed.n Jan 10th, with the temperature at 15 degree farenheit, it snows all day. On how many lineill service be affected, including both morning and afternoon.2345

    1 . Fo r QN ( 5 1 - 5 3 ) T h e f o l l o w i n g f i g u r e d e p i c t s t h r e e v i ew s o f a c u b e . B a se d o n t h i s , a n s w eu e s t i o n s

    5 4

    1 22 3 6

    he number on the face opposite to the face carrying 1 is _____.25223

    2 . The number on the faces adjacent to the face marked 5 are ______1,2,3,41,3,4,54,6,5,3

    5,22,3,6

    3 . Which of the following pairs does not correctly give the numbers on the opposite faces.6,54,11,34,2

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    Birla Institute of Technology, Mesra, Ranchi - Question Set

    4 . Five farmers have 7, 9, 11, 13 & 14 apple trees, respectively in their orchards. Last year,ach of them discovered that every tree in their own orchard bore exactly the same number opples. Further, if the third farmer gives one apple to the first, and the fifth gives three to ea

    the second and the fourth, they would all have exactly the same number of apples. Whatere the yields per tree in the orchards of the third and fourth farmers?9 and 1111 and 913 and 7

    7 and 13

    5 . Five boys were climbing a hill. J was following H. R was just ahead of G. K was between They were climbing up in a column. Who was the second?GKHR

    6 . X's father's wife's father's granddaughter uncle will be related to X asSonNephew

    UncleGrandfather

    7 . Find the next number in the series 1, 3 ,7 ,13 ,21 ,3143334145

    8 . If in a certain code "RANGE" is coded as 12345 and "RANDOM" is coded as 123678.hen the code for the word "MANGO" would be82357

    893438462982347

    9 . If "PROMPT" is coded as QSPLOS ,then "PLAYER" should beQMBZFSQWMFDWQUREXMURESTI

    0 . 6 people A,B,C,D,E and F sit around a table for dinner.Since A does not like C, he doesn't ther opposite or beside C.B and F always like to sit opposite each other.

    A is beside F then who is are the two neighbours of B?D and CE and CD and EEither A or B