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<html><table height="500" width="1000" border="2"><TR height="5" width="1000"><strong><center><marquee><font color="Green"><h1>APTITUDE</h1></center></strong></font></TR></marquee><TR><TD align="left" width="200" valign="top"><table><TR><a href="numbers.html"><strong>Numbers</strong></a></TR><br><TR><a href="hcf.html"><strong>H.C.F and L.C.M</strong></a></TR><br><TR><a href="dec.html" ><strong>Decimal Fractions</strong></a></TR><br><TR><a href="simplification.html"><strong>Simplification</strong></a></TR><br><TR><a href="squareandcuberoot.html" ><strong>Square and Cube roots</strong></a></TR><br><TR><a href="average.html" ><strong>Average</strong></a></TR><br><TR><a href="pnumbers.html" ><strong>Problems on Numbers</strong></a></TR><br><TR><a href="problemsonages.html"><strong>Problems on Ages</strong></a></TR><br><TR><a href="surdsandindices.html"><strong>Surds and Indices</strong></a></TR><br><TR><a href="percent.html" ><strong>Percentage</strong></a></TR><br><TR><a href="profitandloss.html" ><strong>Profit and Loss</strong></a></TR><br><TR><a href="ratioandproportion.html" ><strong>Ratio And Proportions</strong></a></TR><br><TR><a href="partnership.html"><strong>Partnership</strong></a></TR><br><TR><a href="chainrule1.html"><strong>Chain Rule</strong></a></TR><br><TR><a href="timeandwork.html" ><strong>Time and Work</strong></a></TR><br><TR><a href="pipesandcisterns.html" ><strong>Pipes and Cisterns</strong></a></TR><br><TR><a href="timeanddistance.html"><strong>Time and Distance</strong></a></TR><br><TR><a href="trains.html" ><strong>Trains</strong></a></TR><br><TR><a href="boats.html"><strong>Boats and Streams</strong></a></TR><br><TR><a href="alligation.html"><strong>Alligation or Mixture </strong></a></TR><br><TR><a href="simple.html" ><strong>Simple Interest</strong></a></TR><br><TR><a href="CI.html"><strong>Compound Interest</strong></a></TR><br><TR><a href=""><strong>Logorithms</strong></a></TR><br><TR><a href="areas.html" ><strong>Areas</strong></a></TR><br><TR><a href="volume.html"><strong>Volume and Surface area</strong></a></TR><br><TR><a href="races.html" ><strong>Races and Games of Skill</strong></a></TR><br><TR><a href="calendar.html" ><strong>Calendar</strong></a></TR><br><TR><a href="clocks.html" ><strong>Clocks</strong></a></TR><br><TR><a href="" ><strong>Stocks ans Shares</strong></a></TR><br><TR><a href="true.html" ><strong>True Discount</strong></a></TR><br><TR><a href="banker1.html" ><strong>Bankers Discount</strong></a></TR><br><TR><a href="oddseries.html"><strong>Oddmanout and Series</strong></a></TR><br><TR><a href=""><strong>Data Interpretation</strong></a></TR><br><TR><a href="probability.html"><strong>probability</strong></a></TR><br><TR><a href="percom1.html" ><strong>Permutations and Combinations</strong></a></TR><br><TR><a href="pinkivijji_puzzles.html" ><strong>Puzzles</strong></a></TR></table></TD><TD align="top"><font size="5" ><center><b>DECIMAL FRACTIONS</b></center></font><br><br><font size="4">1.<b>Decimal fractions</b>: Fractionin which denominations are powers of 10 are decimal<br> fractions.<br> 1 /10 = 0.1, 1 / 100 = 0.01<br>2.<b>Convertion of Decimal into fraction</b>:-<br> eg: 0.25 = 25/100 = 1/4<br>3.i) If numerator and denominator contain same number of decimal places, <br>then we remove decimal sign. Thus, <br> 1.84/2.99 =184/299<br><br><br><b>PROBLEMS</b>:<br><br>1.0.75 =75/100 =3/4<br><br><br>2.Find porducts= 6.3204*100<br> = 632.04<br><br><br>3.2.61*1.3=261*13=3393<br> some of decimal places 2 +1 =3<br> = 3.393<br><br><br>4.If 1/3.718 =0.2689,then find value of 1/0.0003718 ?<br>Sol: 10000/3.718 =10000*1/3.718<br> =10000*0.2689<br> = 2689<br><br><br>5.Find fractions :<br>i) 0.37 = 37/99<br>ii)3.142857 =3+0.142857<br> =3 +142857/999999<br> = 3 142857/ 999999 <br> iii) 0.17=17-1/90 =16/90=8/45<br> iv)0.1254 =1254 -12/9900 =1242/9900=69/550<br><br><br>6.Fraction 101 27/100000<br>Sol: 101+27/100000<br> =101+0.00027<br> =101.00027<br><br>7.If 47.2506 =4A + 7/B +2C + 5/D + 6E then 40+7+0.2+0.05+0.0006<br>Sol: compairing terms <br> 4A= 40 => A=10<br> 7/B = 7 => B=1<br> 2C= 0.2=> C=0.1<br> 5/D= 0.05=>D=5/0.05 =>5*100/5 =100<br> 6E= 0.0006=> E= 0.0001<br> 5A + 3B+6C+ D+ 3E = 5*10+ 3*1+ 6*0.1 + 100+ 3*0.0001<br> =50+3+0.6+100+0.0003<br> =153.6003<br><br>8.4.036 divided by 0.04<br>Sol: 4.036/0.04 =4036/4 =100.9<br>9.[ 0.05/0.25 + 0.25/ 0.05]3<br>Sol: =>[5/25 + 25/5] <br> = [1/5+ 5]3<br> =26/53<br> =5.23<br> = 140.603<br><br>10.The least among the following :-<br>a. 0.2 b.1/0.2 c. 0.2 d. 0.22<br> 10/2 =5 0.2222 0.040.04 < 0.2 < 0.22 --------<5<br>Since 0.04 is least (0.2)2 is least.<br><br>11.Let F= 0.84181<br>Sol: when F is written as a fraction in lowest terms, denominator exceeds <br>numerator by <br> 84181 -841 /99000 = 83340/99000 =463/550<br> Required distence = (550 鈥⌨️ 快捷键说明
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