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    Accenture previous placement papers - 6

    1. A teacher can divide her class into groups into groups of 5,13 and 17. What is the smallest

    possible strength of the class?

    a.835

    b.9!

    c.11!5

    d.1""!

    Ans#er$ %

    &'planation$

    (or smallest possible class strength, #e consider )%* of the given numbers. +o )%* 5, 13,

    17- 11!5.

    ". /f 0&+2/4 *&+2/% #hat #ill b code for 6&+4+& ?

    1. *&+%&*

    ". *&+/%+*

    3. *&+/%&*

    . *&+/+%*

    Ans#er $ 3

    &'planation$

    0 & + 2 / 4

    * & + 2 / %

    We can see in the #ord 6&+4+& onl 6 and are the letters #hose code is not given, b

    having a loo: on options #e can sa code for 6 is and code for is + because common in

    all options-.

    4o# #e can easil code the #ord 6&+4+&as *&+/%&*.

    3. A box contains 90 bolts each of 100 gm and 100 bolts each of 150 gm. If the entire box weighs 35.5

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    kg., then the weight of the empty box is

    A. 1! :g

    ;. 1!.5 :g

    %. 11 :g

    . 11.5 :g

    &. 4one of the above

    Ans#er$ ;

    &'planation$

    )et the #eight of &mpt bo' be '

    9! < !.1!! = 1!! < !.15! = ' 35.5

     2hen ' 1!.5 :g

    . 2he average age of 1! members of a committee is the same as it #as ears ago,

    because an old member has been replaced b a oung member. (ind ho# much ounger is

    the ne# member?

    Ans#er$ !

    &'planation$

    )et the average of all 1! members ears ago #as '. After  ! years, 10 members age increases

    by 10 " ! # !0. $%t there is no change in the a&erage as a person is replaced by an yo%nger one. 'hich

    means, the yo%nger one age is !0 years less than the old one.

    5. /f the radius of a circle is increased b "!> then the area is increased b$

    a- >

    b- 1"!>

    c- 1>

    d- !>

    e- 4one of the above

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    Ans#er$ a

    &'planation$

    )et sa radius r2(r) # 102(10) #100100(

    4e# radius 1! " 1)0* # 1"

    4e# area 122(1)) #1441!!(

    /ncrement 144−100100×1001!!(+100(100("100  >

    @. When 6aa #as born, his father #as 3" ears older than his brother and his mother #as "5

    ears older than his sister. /f 6aaBs brother is @ ears older than 6aa and his mother is 3

    ears ounger than his father, ho# old #as 6aaBs sister #hen 6aa #as born?

    Ans#er$ 1! ear

    &'planation$

    6aas brother @ ear old #hen 6aa #as born.

    Cis fathers age 3" = @ 38 ear

    Cis mothers age 35 ear

    Cis sister age 35 D "5 1! ears

    7. A man purchased a #atch for 6s.!! and sold it at a gain of "!> of the selling price. 2he

    selling price of the #atch is$

    Ans#er$

    &'planation$

    %ost price !!

    Eain> "!>

    Eain !! 

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    1111 r

    """" t

    3333 e

    n

    5555 ?

    Ans#er$

    &'planation$

    1 = 1 = 1 = 1

    (our last letter is r

    +imilarl

    5 = 5 = 5 = 5 "! i.e t#ent so ans is F.

    9. A ne# apartment comple' purchased @! toilets and "! sho#er heads. /f the price of a

    toilet is three times the price of a sho#er head, #hat percent of the total cost #as the cost

    of all the sho#er heads?

    a- 9>

    b- 1!>

    c- 11>

    d- 13>

    e- 15>

    Ans#er$b

    &'planation$

    )et the cost of sho#er head is '. 2hen the cost of the toilet 3'.

     2otal cost of @! toilets and "! sho#er heads @! " 3x )0 " x # )00x

    +o sho#er heads cost as a percentage of total cost 20'20'"!'"!' " 100 1!>

    1!. (ind the smallest number #hich leaves "",35, 8 and @1 as remainders #hen divided b

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    "@, 39, 5" and @5 respectivel.

    Ans#er$ 77@

    &'planation$

    )%* of "@,39,5",@5- 78!

    6eGuired number 78! D 77@

    Accenture previous placement papers - 5

    1. If a certain comp%ter is capable of printing !900 monthly credit card bills per ho%r, while a new model is

    capable of printing at a rate of --00 per ho%r, the old model will take approximately how m%ch longer than

    the new model to print 10000 bills

     Answer 31 min%tes

    /xplanation

    ld model is capable of printing at a rate of !900 per ho%r 

    ew model is capable of printing at a rate of --00 per ho%r 

    ld model time taken to print 10000 cards # 100002!900 # 1002!9

    ew model time taken to print 10000 cards # 100002--00 # 1002--

    ld model new model 1002!9 4 1002-- # 100 26!9 " --7 # 85026!9 " 337 # 0.5)5 hrs # 31 mins

    :herefore, the old model will take approximately 31 mins longer than the new model to print 10000 bills

    ). 3 men and 8 women complete a task in same time as - men and ) women do. ;ow m%ch fraction of

    work will be finished in same time if ! men and 5 women will do that task.

    17 52-

    )7 -213

    37 29

    !7 1121)

    57 11215

    -7 1321!

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     Answer -

    /xplanation

    3 m 8 w # - m ) w

    3 m # - w

    1 m # ) w

    :herefore 3 m 8 w # 1! w

    ! m 5 w #13 w

     Answer is 1321!

    3. ;ow can a cake6circ%lar7 be c%t into 8 pieces by making %al

    n%mber of mice. /ach cat killed more mice than there were cats. ;ow many cats do yo% think there were

     Answer

    /xplanation 991

    999919 # 1000000 81 #100021000) 929) # 61000 9761000 97 # 1009 " 991.

    ?ince there were more mice than there were cats, 991 cats killed 1009 mice each.

    5. An alloy of @inc and copper contains the metals in the ratio 5 3. :he >%antity of @inc to be added to -

    kg of the alloy so that the ratio of the metal may be 3 1 is

     A73

    $7-

    =78

    79

     Answer =

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    /xplanation

    In sixteen kg of alloy 10 kg of @inc and - kg copper is present

    :o make the ratio 31 we m%st add 8 kg of @inc to make it 18 kg of @inc and - kg copper 

    ?o answer is 8.

    -. A class consists of 100 st%dents, )5 of them are girls and 5 boysB )0 of them are rich and remaining

    poorB !0 of them are fair complexioned. :he probability of selecting a fair complexioned rich girl is

     Answer 1250

    /xplanation

    :he probability of selecting girl is )52100 # 12!

    :he probability of selecting rich is )02100 # 125

    :he probability of selecting fair complexioned is !02100 # )25

    :hree are independentBprobability of rich and fair complexioned girl is

    612!7 "61257 " 6)257 # 1250

    . If one4third of one4fo%rth of a n%mber is 15, then three4tenth of that n%mber is

     A. 35

    $. 3-

    =. !5

    . 5!

     Answer

    /xplanation

    :he n%mber is 123 of 12! is #15 then 123 " 12! # 15

    %mber is 180 then 180 " 3210 # 5!

    8. 100 oranges are bo%ght at the rate of Cs. 350 and sold at the rate of Cs. !8 per do@en. :he percentage

    of profit or loss is

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     A7 1002* gain

    $7 15* gain

    =7 1002* loss

    7 15 * loss

     AnswerA

    /xplanation

    =.D. of 100 orange#350

    ?.D. of 1) is !8 i.e, ! of each now of 100 will be !00

    ?o profit # !00 350 # 50

    profit # proHt×100%cpprofit"100*cp i.e 1002* gain

    9. If 32p # - and 32> # 15 then p > #

     A7 123

    $7 )25

    =7 3210

    7 52-

    /7 one of the abo&e

     Answer =

    /xplanation

     3p3p # - , p #363- #121)and

    3G3> # 15 , > #315315 #1515 then

    p > # 12) 125 # 3210

    10. :wo trains lea&ing from two station 50 miles away from each other with constant speed of -0 miles

    per ho%r, approaches towards each other on different tracks. if length of each train is 12- mile. when they

    meet ;ow m%ch time they need to pass each other totally

     Answer 10 seconds

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    /xplanation

    :he trains are coming towards each other so their relati&e speed is -0 -0 # 1)0 mph

    In this case the distance wo%ld be addition of lengths of trains.i.e 12- 12- # 123 m

    : # dsds #1/31201231)0 #11360113-0 h

    Accenture Previous questions - 4

    1. 2here are t#o bags A and ;. A contains @ red Io#ers and 3 pin: Io#ers. #here as bag ;

    contains " red Io#ers and 7 pin: Io#ers. ne Io#er is chosen from a bag randoml. What is

    the probabilit that the Io#er chosen is pin:?

    a. J9

    b. 1J3

    c. 5J

    d. 5J9

    Ans#er $ d

    &'planation$

    ;ag A @ red = 3 pin:

    ;ag ; " red = 7 pin:

    robabilit of pic:ing 1 pin: from bag A is 3J9

    robabilit of pic:ing 1 pin: from bag ; is 7J9

     2otal 3J9 = 7J9 1!J9

    And probabilit of selecting a bag is 1J"

    +o Hnall probabilit of choosing a pin: Io#er 1J"1!J9- 5J9

    ". 2he sum of a number and its sGuare is 1!@. What is the number?

    1- 38

    "- 39

    3- 37

    - "9

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    Ans#er$ 3

    &'planation$

    ; option KeriHcation 37 = 37 < 37 1!@

    3. Co# man Lletter #ords #ith or #ithout meaning, can be formed out of the letters of the

    #ord, )EA6/2C*+, if repetition of letters is not allo#ed?

    A. !

    ;. !!

    %. 5!!

    . "5"!

    Ans#er$ %. 5!!

    &'planation$

     2he Word )EA6/2C*+ is contain 1! letters.

     2o Hnd ho# man letter #ord #e can Hnd from that 1! < 9 < 8 < 7 5!!.

    . At @Mo a cloc: tic:s @ times. 2he time bet#een Hrst and last tic:s is 3! seconds. Co# long

    does it tic: at 1"Mo cloc:

    Ans#er$ @@

    &'planation$

    (or tic:ing @ times, there are 5 intervals.

    &ach interval has time duration of 3!J5 @ secs

    At 1" ocloc:, there are 11 intervals,

    +o total time for 11 intervals 11 < @ @@ secs.

    5. A man travelled from the village to the postLoNce at the rate of "5 :mph and #al:ed bac:

    at the rate of :mph. /f the #hole ourne too: 5 hours 8 minutes, Hnd the distance of the

    postLoNce from the village

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    Ans#er$ "! :m

    &'planation$

    Average speed "

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    8. +ilu and *eenu #ere #al:ing on the road.

    +ilu said, O/ #eigh 51 Pgs. Co# much do ou #eigh?O

    *eenu replied that she #ouldnt reveal her #eight directl as she is over#eight.

    ;ut she said, O/ #eigh "9 Pgs plus half of m #eight.OCo# much does *eenu #eigh?

    Ans#er$ 58

    &'planation$

    /t is given that *eenu #eighs "9 Pgs plus half of her o#n #eight.

    /t means that "9 Pgs is the other half. +o she #eighs 58 Pgs.

    +olving mathematicall, lets assume that her #eight is A Pgs.

    A "9 = AJ"

    " < A 58 = A

    A 58 Pgs.

    9. What is the 5@73 rd term in the series 1"35@7891!111"131QQ.?

    a- 1

    b- 3

    c- 7

    d- 5

    Ans#er$ %

    &'planation$

    1 to 9 9 no.s 1 digit each no.

    9 to 99 9! no.s " digit each,2otal digit 9! < " 18! terms

    99 to 999 9!! no.s 3 digit each,total digit 9!! < 3 "7!!

    999 to 9999 9!!! no.s digit each,total digit 9!!! < 3@,!!!

     2ill 4o# 999,#e have 9 = 18! = "7!! "889 digits

    pto 9999 #e have "889 = 3@!!! 38889 digits

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    5@73 D 38889 1785

    After 9999 each no. has 5 digit

    +o 1758J5 357! #ith remainder .

    357!th no after 9999 9999=357!135@9

    4e't term1357!.

    th digit 7 so ans#er7

    1!. A ccled from to 0 at 1! :mph and returned at the rate of 9 :mph. ; ccled both #as

    at 1" :mph. /n the #hole ourne ; too: 1! minutes less than A. (ind the distance bet#een

    and 0.

    Ans#er$ 3.75 :m

    &'planation$

    )et the distance bet#een and 0 d :m

    A L time dJ1! = dJ9 19 dJ9! hours

    ; L time " dJ1" dJ@ hours

    1! minutes 1J@ hours

     2hus 19 dJ9! D dJ@ 1J@

    19 d D 15 d-J9! 1J@

    dJ9! 1J@

    thus d 15J :m 3.75 :m

    11. A t#oLdigit number is such that the product of the digits is 8. When 18 is added to the

    number, then the digits are reversed. 2he number is$

    A. 18

    ;. "

    %. "

    . 81

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    Ans#er$

    &'planation$

     Rust go in reverse order.

    %hec: the options #ith th subtracting 18 from each option for getting reverse number.

    " D 18 " #hich is in reverse-.

    +o ans#er is ".

    Accenture previous placement questions - 3

    1. A man purchased a #atch for 6s. !! and sold it at a gain of "!> of the selling price. 2he

    selling price of the #atch is ?

    Ans#er$ 8!

    &'planation$

    %.p. 6s !!

    Eain "!>

    +. %. < 100+p%1001!!=p>1!! 8!

    ".2he cost of t#o varieties of paint is 6s. 39@9 per " :g and 6s. 13@9 per " :g respectivel.

    After ho# man ears #ill the value of both paint be the same, if variet 1 appreciates at

    "@> per annum and variet " depreciates at "@> per annum ?

    Ans#er$ "

    &'planation$

    +impl appreciates variet 1 b "@> and depreciates variet " b "@> as$

    3969

    (1−126

    )n=1369

    (1+126

    )n39-961+1)-7n#13-9611)-7n

    Eor n # ) we get both &al%es e>%al.

    Kariet " Kariet1

    39@9.!! 13@9 /nitiall

    "937.!@ 17".9 after / ear

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    "173." "173." after // ear

    +o the price become same after " ears.

    3. An e'hibition #as conducted for #ee:s. 2he number of tic:ets sold in "nd #ee: #as

    increased b "!> and increased b 1@> in the 3rd #ee: but decreased b "!> in the th

    #ee:. (ind the number of tic:ets sold in the beginning, if 139" tic:ets #ere sold in the last

    #ee: ?

    Ans#er$ 1"5!

    &'planation$

    )et initiall A tic:ets have been sold.

    +o no# in "nd #ee: "!> increases so

    A decrease so

    A

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    ?o a # or 3.

    ne of this n%mber is 39 or 91. Hi&en that the n%mber is greater than -0, we take 91 as the re>%ired

    n%mber.

    5. /n an e'am, Aith, +achu, Parna, +aheep and 6amesh scored an average of 39 mar:s.

    +aheep scored 7 mar:s more than 6amesh. 6amesh scored 9 fe#er than Aith. +achu scored

    as man as +aheep and 6amesh scored. +achu and Parna scored 11! mar:s bet#een them.

    /f Aith scores 3" mar:s then ho# man mar:s did Parna score?

    Ans#er$ 57

    &'planation$

    )et mar:s of Aith a U +achu sc U Parna : U +aheep sh and 6amesh r then

    sh  r 7 L L L L i-

    a D r 9 L L L L ii-

    sc sh = r L L L L iii-

    sc = : 11! L L L L iv-

    Also given a 3"

    +o from ii- r "3 and from i- sh 3! , from iii- sc 53, from iv- : 57.

    @. 2he average number of visitors of a librar in the Hrst das of a #ee: #as 58. 2he

    average for the "nd, 3rd, th and 5th das #as @!. /f the number of visitors on the 1st and

    5th das #ere in the ratio 7$8 then #hat is the number of visitors on the 5th da of the

    librar?

    Ans#er$ @

    &'planation$

    /f number of visitors on 1st, "nd, 3rd, th and 5th da are a, b, c, d and e respectivel then

    a = b = c = d 58 < "3" L L L i-

    b = c = d = e @! < "! L L L ii-

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    +ubtracting i- from ii-, e D a 8 L L L iii-

    Eiven that e $ a 8 $ 7

    )et e 8' and a 7'.

    Eiven, 8'   x # 8 T x # 8  L L L iv-

    +o a 5@ and e @.

    7. A man said to a lad, OFour mothers husbands sister is m auntO. Co# is the lad related

    to the man.

    Ans#er$ ;rother

    &'planation$

    *others husband is nothing but (ather of the lad. +o fathers sister #ill be Aunt to the )ad.

     ;ut in Guestion, the gave that, mothers husbands sister is *ans Aunt. +o she is aunt to

    both the )ad and *an. +o the should be brother and sister.

    8. /f a man reduces the selling price of a fan from !! to 38! his loss increases b "!>

    .What is the cost price of fan ?

    Ans#er$ 5!!

    &'planation$

    )et the cost price be '. 2hen initial loss ' L !!

    Hi&en that )0* 6 x 4 !007 # )0

    T x 4 !00 # 100

    T x # 500

    9. "@! can be represented as$

    A- VV

    ;- VVVVVVVV

    %- VVVVVV

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    - VV

    Ans#er$

    &'planation$

    "@! can be #ritten in binar format as (100000100)261000001007)

    Ceplacing 1 with and 0 with J, we get option d.

    1!. A piece of ribbon ards long is used to ma:e bo#s reGuiring 15 inches of ribbon for

    each. What is the ma'imum number of bo#s that can be made?

    A. 8

    ;. 9

    %. 1!

    . 11

    &. 1"

    Ans#er$ ;

    &'planation$

    1 ard 3 feet 3" 1) # 3@ inches

    ard < 3@ 1 inches

    4umber of ma'imum bo#s that can be made 14415115 9.@

    ption ; is correct.

    Accenture previous placement papers - 2

    1. ne dog tells the other that there are two dogs in front of me.:he other one also sho%ts that he too had

    two behind him. ;ow many are they

     Answer 3

    /xplanation

    og

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    og

    og

    ?o there are 3 dogs.

    :hey are in circle.

    ). In the following >%estions, the following letters indicate mathematical operations as indicated below

     A AdditionB K />%al toB ? ?%btractionB 'Hreater thanB G G%ltiplicationB L Fess thanB i&ision

    Eind %t of the fo%r alternati&es gi&en in these >%estions, only one is correct according to the abo&e letter 

    symbols. Identify the correct one.

    ?ee the options gi&en below

     A7 - ? A ) G 3 ' 0

    $7 - A ? ) G 3 ' 0 A

    =7 - ? G ) ? 3 ' 0 G

    7 - G ? ) A 3 L 0

     Answer A

    /xplanation$y $GA? r%le

    - 3 " ) 02

    3. 'hat will be the o%tp%t of the following code statements

    Integer a # 10, b # 35, c # 5 print 6a " b 2 c7 c

     Answer -5

    /xplanation

     Apply $GA? r%le

    10 " 35 #35053505 #0 5 #-5

    !. Ms%ally the room tariff in this hotel is higher. At present, it is low beca%se of the NNNNNN season.

    a. peak

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    b. off 

    c. down

    d. slow

    e. f%ll

     Answer b

    /xplanation

    $eca%se of the ff season.

    5. :he a&erage n%mber of &isitors of a library in the first ! days of a week was 58. :he a&erage for the

    )nd, 3rd, !th and 5th days was -0.If the n%mber of &isitors on the 1st and 5th days were in the ratio 8

    then what is the n%mber of &isitors on the 5th day of the library

     Answer-!

    /xplanation

    If n%mber of &isitors on 1st, )nd, 3rd, !th O 5th day are a, b, c, d O e respecti&ely, then

    a b c d # 58 " ! # )3) 44446i7 O

    b c d e # -0 " ! # )!0 44446ii7

    ?%btracting 6i7 from 6ii7, e a # 8 4446iii7

    Hi&en

    a2e#28 4446i&7

    ?o from 6iii7 O 6i&7 a#5-, e#-!

    -. An exhibition was cond%cted for ! weeks. :he n%mber of tickets sold in )nd work week was increased

    by )0* and increased by 1-* in the 3rd work week b%t decreased by )0* in the !th work week. Eind the

    n%mber of tickets sold in the beginning, if 139) tickets were sold in the last week

     Answer 1)50

    /xplanation

    let initially A ticket has been sold.

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    ?o now in )nd week )0* increases so

     A "1201001)0100

    In 3rd week 1-* increases so

     A "1201001)0100 "11610011-100

    In !th week )0* decrease so

     A "1201001)0100 "11610011-100 "1201001)0100 # 139)

     A # 1)50

    . Fimited resol%tion of early microscopes was one of the reasons of NNNNNNNNN %nderstanding of cells.

    1. aided

    ). discredited

    3. increased

    !. contradicted

    5. restricted

     Answer 5

    /xplanation

    it sho%ld be restricted beca%se of limited resol%tion

    8. A constr%ctor estimates that 3 people can paint Gr khans ho%se in ! days. If he %ses ! people instead

    of 3,how long will they take to complete the

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    3 " ! # ! " a

    a # 3

    so answer is 3 days

    9. :he tr%e disco%nt on Cs. )5-) d%e ! months hence is Cs. 1)). :he rate percent is

     A. 1)*

    $. !023*

    =. 15*

    . 1!*

     Answer =

    /xplanation

     Ans. =. 15*

    :he tr%e disco%nt on Cs. )5-) d%e ! months hence is Cs. 1)).

    :herefore Dresent 'orth is # )5-) 1)) # )!!0.

    It means that Cs. 1)) is interest on Cs. )!!0 for ! months.

    :herefore rate percent is # 61)) " 100 " 1)726)!!0 " !7 # 15*

    10. P is as m%ch yo%nger than C as he is older than :. If the s%m of the ages of C and : is 50 years, what

    is definitely the difference between C and PQs age

     A. 1 year 

    $. ) years

    =. )5 years

    . ata inade>%ate

    /. one of these

     Answer =

    /xplanation

    Hi&en

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    C P # P : and C : # 50 which gi&es P # )5

     As the difference between C O P and P O : is same

    ?o Answer is )5 years

     Accent%re pre&io%s placement >%estions 4 1

    1. What is the ne't number of the follo#ing seGuence

    "1,77,1@5,"85,......

    Ans#er$ 37

    &'planation$

    )oo: series

    3 < 7 "1

    7 < 11 77

    11 < 15 1@5

    15 < 19 "85

    19 < "3 37 ans

     2n- n D 1- < n = 3-

    ut value of n Hnd an term.

    ". A t#oLdigit number is such that the product of the digits is 8. When 18 is added to the

    number, then the digits are reversed. 2he number is$

    A. 18

    ;. "

    %. "

    . 81

    Ans#er$ b

    &'planation$

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     Rust go in reverse order.

    %hec: the options #ith th subtracting 18 from each option for getting reverse number.

    " D 18 " #hich is in reverse-.

    +o ans#er is "

    3. 2#o gus #or: at some speed. After some time one gu realises he has done onl half of

    the other gu completed #hich is eGual to half of #hat is left +o ho# much faster than the

    other is this gu supposed to do to Hnish #ith the Hrst.

    Ans#er$ t#ice

    &'planation$

    /f ' is the part of tas: this is completed then,

    1st has done #or: 1 D '-J and "nd has done #or: 1D '-J"

    +o "nd #ill have to increase his speed b " times.

    . We are given 1!! pieces of a puXXle. /f H'ing t#o components together is counted as 1

    move a component can be one piece or an alread H'ed set of pieces-, ho# man moves

    do #e need to H' the entire puXXle.

    Ans#er$ 99

    &'planation$

    (i'ing " components together 1 move

    98 components are left ,to again H' one of these to the other t#o 1 move

    97 comp left,so 97 more moves

     2otal 1 = 1 = 97 99.

    5. 2he ime a passenger train ta:es to cross another freight train is t#ice #hen the

    passenger train crosses the freight train running in opposite directions. What is the ratio of

    their speeds?

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    Ans#er$ 3 $ 1

    &'planation$

    +peed of freight train '

    +peed of passenger train

    +um of their length s

    +o time sJ' D -#hen both are in same direction

     2ime sJ' = - #hen opposite direction

    (rom Guestion sJ' D - ".sJ' = - so solving this #e get, 'J 3J1.

    +o ' $ 3 $ 1

    @. At a recent birthda part there #ere four mothers and their children. Aged 1,",3 and .

    from the clues belo# can ou #or: out #hose child is #hose and their relevant ages?

    • /t #as anes childs birthda part.

    • ;rian is not the oldest child.

    • +arah had Anne ust over a ear ago.

    • )auras %hild #ill be ne't birthda.

    • aniel is older than %harlie is.

    •  2eresas child is the oldest.• %harlie is older than )auras child.

    Ans#er$

    &'planation$

    According to given points.

    Anne is one r old her mother is +arah

    ;rian is " r old his mom is )aura

    %harlie is 3 r old his mom is Rane

    aniel is r old his mom is 2eresa.

    And its charlies birthda part.

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    7. Aith #as driving do#n the countr side #hen he sa# a farmer tending his pigs and duc:s

    in his ard. Aith as:ed the farmer ho# man of each he had. 2he farmer replied that there

    #ere @! ees and 8@ feet bet#een them. Co# man duc:s and ho# man pigs #ere there ?

    Ans#er$ 17

    &'planation$

    )et the no of duc:s be ' and no of pigs be .

     2hen,since there are @! ees in total and both duc:s and pigs have " ees #e have "' = "

    @! L L L 1-

    And total number of legs are 8@, duc:s have " legs #hile a pig has four so "' = 8@ L L L

    "-

    +ubtracting 1- from "- ,#e get

    " "@. ie. 13

    utting value in L L L 1-,

    We get ' 17

    8. A supportive oung hare and tortoise raced in opposite directions around a circular trac:

    that #as 1!! ards in diameter. 2he started at the same spot, but the hare did not move

    until the tortoise had a start of one eighth of the distance that is, the circumference of the

    circle-. 2he hare held such a poor opinion of the otherBs racing abilit that he sauntered

    along, nibbling the grass until he met the tortoise. At this point the hare had gone one si'th

    of the distance. Co# man times faster than he #ent before must the hare no# run in order

    to #in the race ?

    Ans#er$ more than 5 times

    &'planation$

     2he hare and the tortoise are at the same point #hen hare have to cover 5J@ of the distance

    and tortoise have to cover 1J@ of the distance to complete the race.

    /f ' is the speed of tortoise then itll ta:e 1J@ '- time to Hnish.

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    +o, hare #ill have to run more then 5 times the speed of tortoise to #in the race.

    9. 2hree times the Hrst of three consecutive odd integers is 3 more than t#ice the third. 2he

    third integer is$

    A. 9

    ;. 11

    %. 13

    . 15

    Ans#er$

    &'planation$

    )et numbers are n,n = ",n =

    4o# 3 n "n = - = 3

    3 n D " n 11

    +o

    4 11 then consecutive odd numbers are 11, 13, 15

    1!. A, ; and % can do a piece of #or: in "!, 3! and @! das respectivel. /n ho# man das

    can A do the #or: if he is assisted b ; and % on ever third da?

    A. 1" das

    ;. 15 das

    %. 1@ das

    . 18 das

    &'planation$

    Wor: done in 3 das 3J"!- = 1J3!- = 1J@!- 1J5

    6emaining #or: J5

    /f 1J5 #or: is done in 3 das then,

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    J5 #or: is done in 3 < 5 < -J5 1" das

     2otal no. of das #ill become 1"=315 das for the complete #or: to be done