ASVAB (ARITHMETIC REASONING PRACTICE QUESTIONS) WITH A+ GRADED ANSWERS

ASVAB (ARITHMETIC REASONING
PRACTICE QUESTIONS) WITH A+
GRADED ANSWERS
ThisTquestionTasksTyouTtoTdetermineTtheTsaleTpriceTofTaTcameraTthatTnormallyTsellsTatT$160TandTisTdiscount
edT20%.TToTsolve,TdetermineTwhatT20%TofT$160Tequals.TRewriteT20%TasTaTdecimal.T



20%T=T0.20.TSoT20%TofT$160T=T0.20TxT$160T=T$32.T

TheTsaleTpriceTofTtheTcameraTwouldTbeT$160T-T$32T=T$128,TchoiceT(c)T-TcorrectTanswer-
JohnTboughtTaTcameraTonTsaleTthatTnormallyTcostsT$160.TIfTtheTpriceTwasTreducedT20%TduringTtheTsale,Twh
atTwasTtheTsaleTpriceTofTtheTcamera?



(a)T$120

(b)T$124

(c)T$128T

(d)T$140



(b)T18



First,TsetTupTtheTrateTasTaTproportion,TwhereT(x)TisTtheTnumberTofTstations.



3Tstations/10TminutesT=T(x)Tstations/1Thour



Then,TconvertTtheTunits.



3Tstations/10TminutesT=T(x)Tstations/60Tminutes



CrossTmultiplyTandTsolveTforT(x).

,180T=T10(x)



18T=T(x)T-TcorrectTanswer-
ATsubwayTcarTpassesT3TstationsTeveryT10Tminutes.TAtTthisTrate,ThowTmanyTstationsTwillTitTpassTinToneThour?



(a)T15

(b)T18

(c)T20

(d)T30



(b)T2T1/3



InTthisTquestion,TtheTratioTisTimplied:TforTeveryT3/4TinchTofTmapTthereTisT1TrealTmile,TsoTtheTratioTofTinchesTt
oTtheTmilesTtheyTrepresentTisTalwaysT3/4TtoT1.TTherefore,TyouTcanTsetTupTtheTproportion:T



numberTofTinches/TnumberTofTmilesT=T3/4T/T1T=T3/4



NowT1T3/4TinchesT=T7/4Tinches.



SetTupTaTproportion:T



7/4Tinches



7/4TinchesT/TnumberTofTmilesT=T3/4



Cross-multiply:T



7/4(4)T=T3T(numberTofTmiles)

, 7=T3(numberTofTmiles)



7/3T=TnumberTofTmilesTorT2T1/3T=TnumberTofTmilesT-TcorrectTanswer-
OnTaTcertainTmap,T3/4TinchTrepresentsToneTmile.TWhatTdistance,TinTmiles,TisTpresentedTbyT1T3/4Tinches?T



(a)T1T1/2T

(b)T2T1/3

(c)T2T1/2T

(d)T5T1/4



(d)T45



YouTcanTexpressTtheTratioTofTbaseballsTtoTgolfTballsTasT2/3.TSinceTyouTknowTtheTnumberTofTbaseballs,TyouTc
anTsetTupTaTproportion:T2/3T=T30/T(x)TwhereT(x)TisTtheTnumberTofTgolfTballs.TToTsolve,Tcross-
multiplyTtoTgetT2(x)T=T90,TorTxT=T45.T-TcorrectTanswer-
ATcertainTboxTcontainsTbaseballsTandTgolfTballs.TIfTtheTratioTofTbaseballsTtoTgolfTballsTisT2:3TandTthereTareT30
TbaseballsTinTtheTbox,ThowTmanyTgolfTballsTareTinTtheTbox?




(a)T18

(b)T20

(c)T36

(d)T45



(d)T$11.25



TheTtotalTcostTofTtheTtaxiTrideTequalsT$36T+T(25%TofT$36),TorT$36T+T(.25TxT$36)T=T$36T+T$9T=T$45.TIfTfourTpeo
pleTsplitTtheTcostTequally,TthenTeachTpersonTpaidT$45/4,TorT$11.25Teach.T-TcorrectTanswer-
FourTpeopleTsharedTaTtaxiTtoTtheTairport.TTheTfareTwasT$36.00,TandTtheyTgaveTtheTdriverTaTtipTequalTtoT25%T
ofTtheTfare.TIfTtheyTequallyTsharedTtheTcostTofTtheTfareTandTtip,ThowTmuchTdidTeachTpersonTpay?T



(a)T$9.75

(b)T$10.25