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    APTITUDE QUESTIONS

    Three pipes, A, B, & C are attached to a tank. A & B can fill it in 20 & 30 minutesrespectively while C can empty it in ! minutes. "f A, B & C are kept open successively for minute each, how soon will the tank #e filled$

    Ans %167 min.

    A arrison of 3300 men has provisions for 32 days, when iven at a rate of '!0 rams per head. Atthe end of ( days a reinforcement arrives and it was found that now the provisions will last ' daysless, when iven at the rate of '2! rams per head. )ow, many more men can it feed$

    Ans %1700 men.

    *olve for + and y% + - y 3, +2 / y2 !.

    Ans %x = 3/2 or -3 and y = 3 or -3/2..

    The minute hand of a clock overtakes the hour hand at intervals of 1 minutes of correct time.)ow much a day does the clock ain or lose$

    Ans %32 8/11 minutes..

    A man ate 00 #ananas in five days, each day eatin 1 more than the previous day. )ow many#ananas did he eat on the first day$

    Ans %8.

    A wiard named 4epo says 5" am only three times my son6s ae. 7y father is 0 years more thantwice my ae. Toether the three of us are a mere 20 years old.5 )ow old is 4epo$

    Ans %360 Years old.

    A certain type of mi+ture is prepared #y mi+in #rand A at 8s. a k. with #rand B at 8s. a k. "fthe mi+ture is worth 8s.( a k., how many ks. of #rand A are needed to make 0ks. of themi+ture$

    Ans %Brand A needed is 24ks..

    9hat is the missin num#er in this series$ ' 2 1 $ 1 ' 2

    Ans %!.

    Can you tender a one rupee note in such a manner that there shall #e total !0 coins #ut none ofthem would #e 2 paise coins.$

    Ans %4" one #aisa $oins% 2 &i'e #aise $oins% 2 ten #aise $oins% and 1 t(enty-&i'e #aise $oins..

    The s:uare of a two diit num#er is divided #y half the num#er. After 31 is added to the :uotient,this sum is then divided #y 2. The diits of the resultin num#er are the same as those in theoriinal num#er, #ut they are in reverse order. The ten6s place of the oriinalnum#er is e:ual to twice the difference #etween its diits. 9hat is the num#er$

    Ans %46.

    "f ;o2 + - ! ;o + / 1 0, then what would the value values of + #e$

    Ans %x = e2 or e3.

    A num#er of cats ot toether and decided to kill #etween them mice.

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    only re:uire ' seconds to et to the #ottom. "f the time is measured fromthe moment the top step #eins to descend to the time he steps off the last step at the #ottom,find out the heiht of the stair way in steps$

    Ans %46 )te#s.

    A #oat travels 20 kms upstream in 1 hrs and ' kms downstream in hrs.=ind the speed of the#oat in still water and the speed of the water current$

    Ans %7/12 km#*.>ipe A can fill in 20 minutes and >ipe B in 30 mins and >ipe C can empty the same in 0mins. "f allof them work toether, find the time taken to fill the tank

    Ans %17 1/7 mins.

    "f +y2 and +y2!1 then what is the value of +$

    Ans %8.

    9hat is the anle #etween the two hands of a clock when time is '%30

    Ans %7"+a##rox,.

    "f there are 02?2'0 pi+els on a screen and each pi+el can have around 1 million colors. =indthe memory re:uired for this$

    Ans %4B.

    A #oy has 8s 2. )e wins or loses 8e at a time "f he wins he ets 8e and if he loses the ame heloses 8e . )e can loose only ! times. )e is out of the ame if he earns 8s !. =ind the num#er ofways in which this is possi#le$

    Ans %16.

    )ow many 6s are there in the #inary form of '?02 / 3?1 / 3

    Ans %4.

    A man leaves office daily at (pm A driver with car comes from his home to pick him from officeand #rin #ack home@ne day he ets free at !%30 and instead of waitin for driver he starts walkin towards home. "nthe way he meets the car and returns home on car )e reaches home 20 minutes earlier thanusual."n how much time does the man reach home usually$$

    Ans %1r 20in.

    "n o#ective test a correct ans score marks and on a wron ans 2 marks are su#tracted, astudent score '0 marks from !0 :uestion. how many ans were correct$

    Ans %130.

    ! men or ' women do e:ual amount of work in a day. a o# re:uires 3 men and ! women to finishthe o# in 0 days how many woman are re:uired to finish the o# in days.

    Ans %7.

    "f an item costs 8s.3 in 6 and 8s.203 in 600.9hat is the increase in price$

    Ans %200/3 .

    A cylinder is 1 cms in diameter and 1 cms in heiht. "f spheres of the same sie are made from thematerial o#tained, what is the diameter of each sphere$

    Ans %3$m.

    Two trains move in the same direction at !0 kmph and 32 kmph respectively. A man in the slowertrain o#serves the ! seconds elapse #efore the faster train completely passes #y him. 9hat isthe lenth of faster train $

    Ans %7"m.

    "f a sum of money compound annually amounts of thrice itself in 3 years. "n how many years will it#ecome times itself.

    Ans %6 Years.

    A certain num#er of men can finish a piece of work in 0 days. "f however there were 0 men lessit will take 0 days more for the work to #e finished. )ow many men were there oriinally$

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    Ans %110.

    "f on an item a company ives 2! discount, they earn 2! profit. "f they now ive 0 discountthen what is the profit percentae.

    Ans %30.

    There are two circles, one circle is inscri#ed and another circle is circumscri#ed over a s:uare.9hat is the ratio of area of inner to outer circle$

    Ans %12.

    City A6s population is 1'000, decreasin at a rate of '0 people per year. City B havin population2000 is increasin at a rate of 20 people per year. "n how many years #oth the cities will havesame population$

    Ans %130 years.

    20 of a 1 litre solution and 10 of litre solution are mi+ed. 9hat percentae of the mi+ture ofsolution

    Ans %36.

    >erimeter of the #ack wheel feet, front wheel ( feet on a certain distance, the front wheelets 0 revolutions more than the #ack wheel. 9hat is the distance$

    Ans %31" &eet..

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    3 of irls , 2 of #oys o to canteen .9hat factor and total num#er of classmates o to canteen.

    Ans %annot e determined..

    9hat is the sellin price of a car$ "f the cost of the car is 8s.10 and a profit of 0 over sellinprice is earned

    Ans %s 66/-.

    @f A#dul, Binoy, and Chandini%aD

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    "f time at this moment is >.7., what will #e the time 232 hours later$

    Ans %1 ..24 illion *ours later% it (ould e ! .. and 8 *ours e&ore t*at it

    (ould e 1 ...

    Eiophantus passed one si+th of his life in childhood, one twelfth in youth, and one seventh moreas a #achelorF five years after his marriae a son was #orn who died four years #efore his father

    at half his final ae. )ow old is Eiophantus$Ans %84 years

    5x#lanation x/6 < x/12 < x/7 < " < x/2 < 4 = x.

    9ith ust si+ weihts and a #alance scale, you can weih any unit num#er of ks from to 31.9hat could #e the si+ weihts$

    Ans %1% 3% !% 27% 81% 243 +All #o(ers o& 3,.

    A cylindrical container has a radius of eiht inches with a heiht of three inches. Compute howmany inches should #e added to either the radius or heiht to ive the same increase involume$

    Ans %16/3 in$*es5x#lanation et x e t*e amount o& in$rease. *e 'olume (ill in$rease y t*e same amount i&

    t*e radius in$reased or t*e *ei*t is in$reased. )o% t*e e&&e$t on in$reasin *ei*t is e9ual tot*e e&&e$t on in$reasin t*e radius.

    i.e.% +22/7,;8;8;+3

    Ans %4.

    Havaskar6s averae in his first !0 innins was !0. After the !st innins, his averae was !. )ow

    many runs did he score in his !st innins. Gsupposin that he lost his wicket in his !st inninsDAns %1015x#lanation otal s$ore a&ter "0 innins = "0;"0 = 2"00 otal s$ore a&ter "1 innins = "1;"1

    = 2601 )o% runs made in t*e "1st innins = 2601-2"00 = 101& *e *ad not lost *is (i$ket in *is "1st innins% *e (ould *a'e s$ored an

    uneaten "0 in *is "1st innins.

    .

    A fast typist can type some matter in 2 hours and a slow typist can type the same in 3 hours. "f#oth type com#inely, in how much time will they finish$

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    Ans %1 *r 12 min5x#lanation *e &ast ty#ists (ork done in 1 *r = 1/2 *e slo( ty#ists (ork done in 1 *r =1/3 & t*ey (ork $ominely% (ork done in 1 *r = 1/2

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    *ere&ore t*e remainin (ork to e $om#leted = 1 - 2/y.

    +i.e., (ork to e $om#leted = +y-2,/y.

    The lenth of the side of a s:uare is represented #y +/2. The lenth of the side of an e:uilateraltrianle is 2+. "f the s:uare and the e:uilateral trianle have e:ual perimeter, then the value of + isIIIIIII.

    Ans %x = 4

    5x#lanation)in$e t*e side o& t*e s9uare is x < 2% its #erimeter = 4 +x < 2, = 4x < 8

    )in$e t*e side o& t*e e9uilateral trianle is 2x% its #erimeter = 3 ; 2x = 6xAlso% t*e #erimeters o& ot* are e9ual.

    +i.e., 4x < 8 = 6x

    +i.e., 2x = 8 x = 4..

    "f every alternative letter startin from B of the is on line sement AB, then which of the followin is always true$ GD A> >B G2D A> L>B G3D >B L A> GD AB L A> G!D AB L A> / >B

    Ans %+4,

    5x#lanationA B

    )in$e # is a #oint on t*e line sement AB% AB F A.

    "f a liht flashes every 1 seconds, how many times will it flash in M of an hour$

    Ans %4"1 times.5x#lanation

    *ere are 60 minutes in an *our.

    n G o& an *our t*ere are +60 ; G, minutes = 4" minutes.n G o& an *our t*ere are +60 ; 4", se$onds = 2700 se$onds.i*t &las*ed &or e'ery 6 se$onds.

    n 2700 se$onds 2700/6 = 4"0 times.*e $ount start a&ter t*e &irst &las*% t*e li*t (ill &las*es 4"1 times in G o& an

    *our..

    =ive #oys were clim#in a hill. N was followin ). 8 was ust ahead of H. K was #etween H & ).They were clim#in up in a column. 9ho was the second$

    Ans %.5x#lanation

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    *e order in (*i$* t*ey are $limin is - - H - - I .

    =ive farmers have (, , , 3 & apple trees, respectively in their orchards. ;ast year, each ofthem discovered that every tree in their own orchard #ore e+actly the same num#er of apples.=urther, if the third farmer ives one apple to the first, and the fifth ives three to each of thesecond and the fourth, they would all have e+actly the same num#er of apples. 9hat were theyields per tree in the orchards of the third and fourth farmers$

    Ans %11 ! a##les #er tree.5x#lanation

    et a% % $% d e e t*e total numer o& a##les ored #er year in A% B% % J 5 Ks or$*ard. i'en t*at a < 1 = < 3 = $ - 1 = d < 3 = e - 6

    But t*e 9uestion is to &ind t*e numer o& a##les ored #er tree in and J Ks or$*ard.& is enou* to $onsider $ - 1 = d < 3.

    )in$e t*e numer o& trees in Ds or$*ard is 11 and t*at o& JDs or$*ard is 13.et x and y e t*e numer o& a##les ored #er tree in d Ks or$*ard res#e$ti'ely.

    *ere&ore 11 x - 1 = 13 y < 3

    By trial and error met*od% (e et t*e 'alue &or x and y as 11 and ! .

    A tennis marker is tryin to put toether a team of four players for a tennis tournament out ofseven availa#le. males - a, # and cF females - m, n, o and p. All players are of e:ual a#ility andthere must #e at least two males in the team. =or a team of four, all players must #e a#le to playwith each other under the followin restrictions% # should not play with m, c should not play withp, and a should not play with o. 9hich of the followin statements must #e false$ . # and p

    cannot #e selected toether 2. c and o cannot #e selected toether 3. c and n cannot #e selectedtoether.

    Ans %3.5x#lanation)in$e in$lusion o& any male #layer (ill reLe$t a &emale &rom t*e team. )in$et*ere s*ould e &our memer in t*e team and only t*ree males are a'ailale% t*e irl%

    n s*ould in$luded in t*e team al(ays irres#e$ti'e o& ot*ers sele$tion..

    A man #ouht a horse and a cart. "f he sold the horse at 0 loss and the cart at 20 ain, hewould not lose anythinF #ut if he sold the horse at ! loss and the cart at ! ain, he would lose8s. 0 in the #arain. The amount paid #y him was 8s.- IIIIIII for the horse and 8s.IIIIIIII forthe cart.

    Ans %ost #ri$e o& *orse = s. 400 t*e $ost #ri$e o& $art = 200.5x#lanation-et x e t*e $ost #ri$e o& t*e *orse and y e t*e $ost #ri$e o& t*e $art.

    n t*e &irst sale t*ere is no loss or #ro&it. +i.e., *e loss otained is e9ual to t*e ain.*ere&ore +10/100, ; x = +20/100, ; yM = 2 ; y -----------------+1,n t*e se$ond sale% *e lost s. 10. +i.e., *e loss is reater t*an t*e #ro&it y s. 10.

    *ere&ore +" / 100, ; x = +" / 100, ; y < 10 -------+2,)ustitutin +1, in +2, (e et

    +10 / 100, ; y = +" / 100, ; y < 10+" / 100, ; y = 10

    y = 200

    Crom +1, 2 ; 200 = x = 400 .

    what is a percent of # divided #y # percent of a$

    Ans %15x#lanationa #er$ent o& +a/100, ;

    #er$ent o& a +/100, ; a

    a #er$ent o& di'ided y #er$ent o& a ++a / 100 ,;, / +/100, ; a ,, = 1.

    A contractor areein to finish a work in !0 days, employed (! men each workin ' hours daily.After 0 days, only 2( of the work was completed. "ncreasin the num#er of men #y IIIIIIIIeach workin now for 0 hours daily, the work can #e completed in time.

    Ans %1"0 men.5x#lanationEne dayDs (ork = 2 / +7 ; !0,

    Ene *ourDs (ork = 2 / +7 ; !0 ; 8,Ene manDs (ork = 2 / +7 ; !0 ; 8 ; 7",

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    *e remainin (ork +"/7, *as to e $om#leted (it*in 60 days% e$ause t*etotal numer o& days allotted &or t*e #roLe$t is 1"0 days.)o (e et t*e e9uation

    +2 ; 10 ; x ; 60, / +7 ; !0 ; 8 ; 7", = "/7 (*ere x is t*e numer o& men(orkin a&ter t*e !0t* day.>e et x = 22"

    )in$e (e *a'e 7" men already% it is enou* to add only 1"0 men. .

    A man was enaed on a o# for 30 days on the condition that he would et a wae of 8s. 0 forthe day he works, #ut he have to pay a fine of 8s. 2 for each day of his a#sence. "f he ets 8s. 21at the end, he was a#sent for work for ... days.

    Ans %7 days5x#lanation*e e9uation #ortrayin t*e i'en #rolem is10 ; x - 2 ; +30 - x, = 216 (*ere x is t*e numer o& (orkin days.

    )ol'in t*is (e et x = 23

    Numer o& days *e (as asent (as 7 +30-23, days..

    A software enineer has the capa#ility of thinkin 00 lines of code in five minutes and can type00 lines of code in 0 minutes. )e takes a #reak for five minutes after every ten minutes. )owmany lines of codes will he complete typin after an hour$

    Ans %2"0 lines o& $odes.

    A dishonest shopkeeper professes to sell pulses at the cost price, #ut he uses a false weiht of!0m. for a k. )is ain isIIII.

    Ans %".3

    5x#lanatione sells !"0 rams o& #ulses and ains "0 rams.

    & *e sells 100 rams o& #ulses t*en *e (ill ain +"0 / !"0, ;100 = ".26.

    A student divided a num#er #y 23 when he re:uired to multiply #y 32. Calculate the percentaeof error in his result.

    Ans %0 5x#lanation

    )in$e 3x / 2 = x / +2 / 3,.

    "t was calculated that (! men could complete a piece of work in 20 days. 9hen work wasscheduled to commence, it was found necessary to send 2! men to another proect. )ow much

    loner will it take to complete the work$Ans %30 days.5x#lanationBe&oreEne day (ork = 1 / 20

    Ene manDs one day (ork = 1 / + 20 ; 7",No(No. E& (orkers = "0Ene day (ork = "0 ; 1 / + 20 ; 7",

    *e total no. o& days re9uired to $om#lete t*e (ork = +7" ; 20, / "0 = 30 .