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📁 aptitude book by r s aggarwal
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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" target="right"><strong>Decimal Fractions</strong></a></TR><br><TR><a href="simplification.html"><strong>Simplification</strong></a></TR><br><TR><a href="squareandcuberoot.html" target="right"><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" target="right"><strong>Percentage</strong></a></TR><br><TR><a href="profitandloss.html" target="right"><strong>Profit and Loss</strong></a></TR><br><TR><a href="ratioandproportion.html" target="right"><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" target="right"><strong>Time and Work</strong></a></TR><br><TR><a href="pipesandcisterns.html" target="right"><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" target="right"><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" target="right"><strong>Simple Interest</strong></a></TR><br><TR><a href="CI.html" target="right"><strong>Compound Interest</strong></a></TR><br><TR><a href=""><strong>Logorithms</strong></a></TR><br><TR><a href="areas.html" target="right"><strong>Areas</strong></a></TR><br><TR><a href="volume.html" target="right"><strong>Volume and Surface area</strong></a></TR><br><TR><a href="races.html" target="right"><strong>Races and Games of Skill</strong></a></TR><br><TR><a href="calendar.html" target="right"><strong>Calendar</strong></a></TR><br><TR><a href="clocks.html" target="right"><strong>Clocks</strong></a></TR><br><TR><a href="" target="right"><strong>Stocks ans Shares</strong></a></TR><br><TR><a href="true.html" target="right"><strong>True Discount</strong></a></TR><br><TR><a href="banker1.html" target="right"><strong>Bankers Discount</strong></a></TR><br><TR><a href="oddseries.html" target="right"><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" target="right" ><strong>Permutations and Combinations</strong></a></TR><br><TR><a href="pinkivijji_puzzles.html" target="right"><strong>Puzzles</strong></a></TR></table></TD><TD ><font size="+1.5"><pre>                                                     <b ><font size="+1.5">Problems On Ages</font></b>  1. The present age of a father is 3 years more than three times the age of his    son.Three years hence,father鈥檚 age will be 10 years more than twice the age of    the son.Find the present age of the father.     Sol:   Let the present age be 'x' years.            Then father's present age  is 3x+3 years.            Three years hence             (3x+3)+3=2(x+3)+10                  x=10           Hence father's present age = 3x+3 = 33 years.2. One year ago the ratio of Ramu & Somu age was 6:7respectively. Four years hence their   ratio would become 7:8. How old is Somu.      Sol:  Let us assume Ramu &Somu ages are x &y respectively.                    One year ago their ratio was 6:7                    i.e  x-1 / y-1 = 6 / 7                          7x-6y=1                    Four years hence their ratios,would become 7:8                     i.e   x-4  / y-4 = 7 / 8                           8x-7y=-4                    From the above two equations we get y= 36 years.                        i.e Somu present age is 36 years.3. The total age of A &B is 12 years more than the total age of B&C. C is how many year   younger than A.           Sol:   From the given data                       A+B = 12+(B+C)                       A+B-(B+C) = 12                        A-C=12 years.                C is 12 years younger than A 4. The ratio of the present age of P & Q is 6:7. If  Q is 4 years old than P.   what will be the ratio of the ages of P & Q after 4 years.           Sol:  The present age of P & Q is 6:7 i.e                          P / Q  = 6 / 7                       Q is 4 years old than P i.e Q = P+4.                         P/ P+4 = 6/7                         7P-6P = 24,                           P = 24 , Q = P+4 =24+4 = 28                      After 4 years the ratio of P &Q is                            P+4:Q+4                         24+4  :  28+4 = 28:32 = 7:8        5. The ratio of the age of a man & his wife is 4:3.After 4 years this ratio will be 9:7.   If the time of marriage  the ratio was 5:3, then how many years ago were they married.              Sol: The age of a man  is 4x .                   The age of his wife is 3x.                   After 4 years their ratio's will be 9:7 i.e                               4x+4 / 3x+4  =  9 / 7                               28x-27x=36-28                                  x = 8.                    Age of a  man is  4x = 4*8 = 32 years.                    Age of his wife is 3x = 3*8 = 24 years.                   Let us assume  'y' years ago they were married ,the ratio was 5:3 ,i.e                         32-y /  24-y = 5/ 3                             y=12 years                      i.e 12 years ago they were  married6. Sneh's age is  1/6th of her father's age.Sneh's father's age will be twice the age of   Vimal's age after 10 years. If Vimal鈥檚 eight birthday was celebrated two years before,   then what is Sneh's present age.    a)  6 2/3 years  b) 24 years   c) 30 years   d) None of the above          Sol: Assume Sneh鈥檚 age  is 'x' years.              Assume her fathers age is 'y' years.              Sneh鈥檚 age is 1/6 of her fathers age i.e   x = y /6.              Father鈥檚 age will be twice of Vimal's age  after 10 years.                 i.e    y+10 = 2( V+10)   ( where 'V' is the Vimal's age)              Vimal's eight  birthday  was celebrated two years before,              Then  the Vimal's present age is 10 years.                       Y+10 = 2(10+10)                          Y=30 years.              Sneh's present age x = y/6                       x = 30/6 = 5 years.              Sneh's present age is  5 years.7.The sum of the ages of  the 5 children's born at the intervals of 3 years each is 50  years what is the age of the youngest child.   a) 4 years  b) 8 years  c) 10 years  d)None of the above        Sol: Let the age of the children's be   x ,x+3, x+6, x+9, x+12.               x+(x+3)+(x+6)+(x+9)+(x+12)  = 50                     5x+30  =  50                    5x = 20                      x=4.             Age of the youngest child is x = 4 years.8. If 6 years  are subtracted from the present age of Gagan and the remainder   is divided by 18,then the present age of his grandson Anup is obtained. If   Anup is 2 years younger  to Madan whose age is 5 years,then  what is Gagan's   present age.     a) 48 years  b)60 years    c)84 years  d)65 years             Sol:  Let us assume Gagan present age is 'x' years.                      Anup age  =  5-2 = 3 years.                       (x-6) / 18 = 3                       x-6  =  54                        x=60 years9.My brother is 3 years elder to me. My father was 28 years of age when my sister was  born while my father was 26 years of age when i was born. If my sister was 4 years of  age when my brother was born,then what was the age my father and mother respectively  when my brother was born.  a) 32 yrs, 23yrs    b)32 yrs, 29yrs    c)35 yrs,29yrs      d)35yrs,33 yrs       Sol: My brother was born 3 years before I was born & 4 years after my sister was            born.                Father's age when brother was born  = 28+4 = 32 years.                Mother's age when brother was born = 26-3 = 23 years.                         </pre></font></TD></TR></table></body></html>

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