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    Solved questions for Quantitative (model)

    1) Consider a triangle PQR.Quantity A = length of PQ + length of QRQuantity B = length of PR

    Quantity A is greater

    2) A task is done by y o!en in "# hours.$he sa!e task is done by %y + 2) o!en in & hours.Quantity A = "# Quantity B = &

    Quantity A is greater

    ' ') 1(( y 2(( and 1(( & 21(

    " Quantity A = y Quantity B = &

    ") Quantity A = Per*entage in*rease fro! 1( ft to 1' ftQuantity B = Per*entage in*rease fro! 1' ft to 1 ft

    Quantity A is greater

    #) Quantity A = %' , " , 1-) %121 , 1(()Quantity B = %" , # , 1/) %1((( , 121)

    Quantity A is greater

    ) Quantity A = %y + #)2 Quantity B = %y 0 #)2

    Relationshi ndeter!inate

    -) Consider a re*tangle. $he length of its shorter side is 34 and the length of its diagonalis 1.Quantity A = '(oQuantity B = !easure of angle for!ed by diagonal and shorter side

    Quantity B is greater %r)

    3) Quantity A = $i!e elased fro! 5"- a.!. to 1(.1' the sa!e !orningQuantity B = ' hours 2# !inutes

    Quantity A is greater

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    /) 1

    ' 2

    " B C

    Quantity A = 6easure of angle 1 + 6easure of angle "Quantity B = /(o0 6easure of angle 2o

    Quantity A is greater

    $he integer %x0 1) is a ri!e nu!ber beteen "( and #(.Column A

    $he su! of all different ri!e fa*tors ofx Column B

    1"

    $he 7uantity in Colu!n B is greater

    11) n a arti*ular 8ellybean 8ar4 the nu!ber of red 8ellybeanse,*eeds the nu!ber of hite ones by a ratio of '52. f to red8ellybeans ere re!o9ed4 the ratio of red to hite 8ellybeansould be 151.

    Column A$he nu!ber of hite 8ellybeans in the 8ar

    Column B

    "

    $he 7uantities are e7ual

    12) :our trains;A4 B4 C4 and

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    $he feest ossible ostsused to *onstru*t theeri!eter fen*e

    $he 7uantity in Colu!n A is greater1")

    Column A

    $he *ir*les *ir*u!feren*eColumn B

    $he length of *hordABlusti*e the length of *hord CD

    $he 7uantity in Colu!n A is greater

    1#)

    Column A

    XColumn B

    $he 7uantity in Colu!n B is greater

    Directions: :or ea*h of the folloing7uestions4 sele*t the best of the anser *hoi*esgi9en.

    1) f -0= (4 then 1( 0 =

    '

    1-) A triangle ith sides of '4 4 and / has the sa!e eri!eter as an e7uilateral triangleith sides of length

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    13) >unil has " ti!es as !any books as ?i8ay and # ti!es as !any books as ?iashal. f?ishal has !ore than "( books4 hat is the least nu!ber of books that >unil *ouldha9e@

    22(

    1/)

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    2) If the Sstudents enrolled in a Progra!!ing Course4 /(Htake the Certifi*ation ,a!ination. "(H of the students ho take the Certifi*ation,a!ination ass it. n this Certifi*ation ,a!ination4 students ho ass thee,a!ination are hat er*ent of the students enrolled in the Progra!!ing Course

    '

    2-) Jast !onth4 6r. Anderson sent H of his salary to ay his ele*tri*ity bill4 11H toay his hone bill4 and #'H for general !onthly e,enses. f his salary is G '(((4then his sa9ings last !onth as

    G /((

    23) $here are /( ani!als on a far!. $hree0fourths of the! are *os. If the *os4 about/(H are hite. o !any *os on the far! are not hite@

    -1

    2/) A gas *ylinder has to 9ents4 ?1 and ?24 for dis*harge. $he *ylinder e!ties in- !inutes hen only 9ent ?1 is oen. $he *ylinder e!ties in # !inutes hen both9ent ?1 and 9ent ?2 are oen. About ho !any !inutes ill the *ylinder take toe!ty if only 9ent ?2 is oen@

    1-.#(

    '() A arti*ular !odel of an air0*onditioner *ost G -(( fi9e years ago. $he sa!e !odel*osts G /"# today. By hat er*ent has the *ost in*reased@

    '#

    '1) f a line seg!ent is dran *onne*ting oint A %024 ) and oint B %14 01")4 then the*oordinates of the !idoint are

    %-4 0")

    '2) f ais an odd nu!ber and bis an e9en nu!ber4 then hi*h of the folloing !ust bean e9en nu!ber@

    2a+ b

    '')

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    "') After ork4 6r. Dhite dro9e 2- !iles est4 then 1# !iles south4 and finally / !ilesest to !eet his sister. Dhat is the shortest distan*e in !iles fro! 6r. Dhitesorkla*e to his sisters ho!e@

    '/

    "") ff%x4y) = 2y0x2herexandyare real nu!bers4 thenf%f%"4 ')4 ') is e7ual to

    E/"

    "#) $he a9erage %arith!eti* !ean) ofxandyis 2(. fz= #4 hat is the a9erage ofx, y,andz@

    1#

    ") n a *ertain year4 6innesota rodu*ed and 6i*higan rodu*ed of all the iron orerodu*ed in the Lnited >tates. f all the other states *o!bined rodu*ed 13 !illiontons that year4 ho !any !illion tons did 6innesota rodu*e that year@

    -2

    Directions: Questions "-0#( are basedon the folloing grahs. :or grah ande,lanation4 see ARCI age 1/2.

    "-) :or ho !any years as the annual distribution of Charity M greater than those ofboth Charity N and Charity O@

    /

    "3) :ro! 1/-1 to 1/324 by ho !any !illions of dollars did the annual distribution byCharity O in*rease@

    1"%R)

    "/) :ro! 1/-( to 1/314 by hat er*ent did the annual distribution by Charity Min*rease@

    1#(H

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    #() n 1/--4 hat ere the *o!bined annual distributions of Charity M and Charity O %in!illions of dollars)@

    "