Jeffrey J Steckroth-GMAT Session 1.ppt

GMATSession1 ArithmeticandAlgebra SessionOne 4 1 09 ArithmeticandAlgebra ArithmeticandAlgebra Thesumofprimenos thataregreaterthan60butlessthan70is67128191197260 Ifxandyareprimenumbers whichofthefollowingCANNOTbethesumofxandy 59131623 Fermatprimesareprimenumbersthatcanbewrittenintheformof2k 1 wherekisanintegerandapowerof2 WhichofthefollowingisNOTaFermatprime 351731257 Ifxandyaredifferentprimenumbersgreaterthan2 whichofthefollowingmustbetrue x y 91x yisanevenintegerisNOTanintegerIIonlyIandIIonlyIandIIIonlyIIandIIIonlyI II andIII Whatisthelowestintegerthatisthesumofthreeprimeseachgreaterthan20 6973757983 Ifn 4p wherepisaprimeno greaterthan2 howmanydifferentpositiveevendivisorsdoesnhave includingn 23468 OfthefivecoordinatesassociatedwithA B C D andEonthenumberlineabove whichhasthegreatestabsolutevalue ABCDE A A Whichofthefollowinginequalitiesisanalgebraicexpressionfortheshadedpartofthenumberline x 3 x 5 x 2 3 x 1 4 x 1 4 Ifx 3 whatisthevalueof 3x2 27 18182781 870841583130 0 0010 010 090 91 0 Whatisthesmallestintegernforwhich25n 512 678910 Whichofthefollowingistheproductoftwointegerswhosesumis11 42 28122632 IfthetwodigitintegersMandNarepositiveandhavethesamedigitsbutinreverseorder whichofthefollowingCANNOTbethesumofMandN 1811651219944 Ifpisanevenintegerandqisanoddinteger whichofthefollowingmustbeanoddinteger 0 1 0 1 2 0 1 3 0 10 1110 12110 23410 3 2 4 6 8 n 3 5 7 965 Inthelistabove ifnisanintegerbetween1and10inclusive thenthemedianmustbea Either4or5b Either5or6c Either6or7d ne 5 50 A 6to1 B 5to1 C 3to2 D 2to3 E 1to6 52 KellyandChrispackedseveralboxeswithbooks IfChrispacked60percentofthetotalnumberofboxes whatwastheratioofthenumberofboxesKellypackedtothenumberofboxesChrispacked A 1to6B 1to4C 2to5D 3to5E 2to3 73 IntheJohnson smonthlybudget thedollaramountsallocatedtohouseholdexpenses foodandmisc itemsareintheratioof5 2 1 respectively Ifthetotalamountallocatedis 1800 whatistheamountallocatedforfood 900720675450225 99 Onascalethatmeasurestheintensityofacertainphenomenon areadingofn 1correspondstoanintensitythatis10timestheintensitycorrespondingtoareadingofn Onthatscale theintensitycorrespondingtoareadingof8ishowmanytimesasgreatastheintensitycorrespondingtoareadingof3 550105510810 310 5 Arestaurantmealcost 35 50andtherewasnotax Ifthetipwasmorethan10percentbutlessthan15percentofthecostofthemeal thenthetotalamountpaidmusthavebeenbetween 40and 42 39and 41 38and 40 37and 39 36and 37 AcardealersoldxusedcarsandynewcarsduringMay Ifthenumberofusedcarssoldwas10greaterthanthenumberofnewcarssold whichofthefollowingexpressesthisrelationship A x t10y B x y 10 C x y 10 D x y 10 E x y 10 120 Davidhasdbooks whichis3timesasmanyasJeffand asmanyasPaula Howmanybooksdothethreeofthemhavealtogether intermsofd 41 Ifx 1 3tandy 2t 1 thenforwhatvalueoftdoesx y Ify x 3 2 thenyislowestwhenx A 14 B 13 C 0 D 3 E 4 58 Ifx2 2y3and2y 4 whatisthevalueofx2 y A 14 B 2 C 3 D 6 E 18 Inacertainfurniturestore eachweekNancyearnsasalaryof 240plus5percentoftheamountofhertotalsalesthatexceeds 800fortheweek IfNancyearnedatotalof 450oneweek whatwerehertotalsalesthatweek A 2 200 B 3 450 C 4 200 D 4 250 E 5 000 46 Howmanyintegersnaretheresuchthat1 5n 5 25 A Five B Four C Three D Two E One 70 Ifx 5 2andx 3 7 thevalueofxmustbebetweenwhichofthefollowingpairsofnumbers A 3and10 B 3and4 C 2and7 D 3and4 E 3an