RATIO AND PROPORTION/INDICES/LOGARITHM
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1 Chpter RATIO AND PROPORTION/INDICES/LOGARITHM 006 Novemer. Two umers re i the rtio : d the differece of their squres is 0. The umers re:, 8 6, (c, Noe. If p : is the su-duplicte rtio of p : q, the is: p p q q p q (c qp p q Noe. A lloy is to coti copper d ic i the rtio :. The ic required to melt with kg of copper is: 0 kg 0 kg (c log + 5 log + log is equl to: 5 80 kg kg 0 (c log log Ferury 5. Two umers re i the rtio 7 : 8. If is dded to ech of them, their rtio ecomes 8 :. The umers re:, 6, 7 (c, 6, 8 6. A o cotis 56 i the form of cois of oe rupee, 50 pise d 5 pise. The umer of 50 pise coi is doule the umer of 5 pise cois d four times the umer of oe rupee cois. The umers of 50 pise cois i the o is: 6 (c 6 7. Vlue of ( /8 + -/8 ( /8 -/8 ( / + -/ ( / + -/ is: 8. The vlue of the epressio: (c log.log.log.log c d c d t t cdt (c ( + + c + d + t Noe. if log 0000 = 00, the is give y: 0 (c 0 Noe of these My 0. Eight people re plig to shre eqully the cost of retl cr. If oe perso withdrws from the rrgemet d the others shre eqully etire cost of the cr, the the shre of ech of the remiig persos icresed y: / /8 (c /7 7/8. A g cotis 87 i the form of rupee, 50 pise d 0 pise cois i the rtio : : 5. Fid the umer of ech type of cois: 0, 6, 70 6, 0, 70 (c 70, 0, 6 Noe
2 . Simplifictio of m. 6m6 m is: m -m (c -. If log( = log log, the = : August. O simplifictio ( c c (c c (c c c reduces to: (c 0 5. Rtio of erigs of A d B is : 7. If the erigs of A icrese y 50% d those of B decrese y 5%, the ew rtio of their erig ecomes 8 : 7. Wht is A s erig?,000 6,000 (c 8,000 Dt idequte 6. P, Q d R re three cities. The rtio of verge temperture etwee P d Q is : d tht etwee P d R is : 8. The rtio etwee the verge temperture of Q d R is: : 7 7 : (c : Noe 7. is equl to: log (c log (c log (c c c 0 (c 8. Numer of digits i the umerl for 6. [Give log = 0.00]: 8 digits digits (c 0 digits digits Novemer. 07 re to e divided mog A, B d C so tht their shres re i the rtio The respective shres of A, B, C re: 65,, 0 65, 0, (c, 0, 65 0,, The icomes of A d B re i the rtio : d their epeditures i the rtio 5 :. If ech sves,500, the B s icome is: 6,000,500 (c,000 7,500. If = 5 y = 0 the is equl to: y 5/ 7 / y y. is equl to: (c y (c. The vlue log log 8 6. log is: 0 y y log 0 7 log 0 (c log e Noe : : 5 6.
3 008 - Ferury. I 0 litres miture of glycerie d wter, the rtio of glycerie d wter is :. The qutity of wter dded i the miture i order to mke this rtio : is: 5 litres 0 litres (c 8 litres 5 litres 5. The third proportiol etwee ( d ( + is: (c ( ( 6. Sme s Q. Jue 00 e e 7. If =, the the vlue of is: e e log e log e (c log e log e 8. log is equl to: log + log log + log (c log + log log log Jue. I wht rtio should te worth 0 per kg e mied with te worth per kg. so tht the verge price of the miture my e per kg? : : (c : : 0. The ges of two persos re i the rtio 5 : 7. Eightee yers go their ges were i the rtio of 8 :, their preset ges (i yers re: 50, 70 70, 50 (c 0, 56 Noe. If = y, y = d = c the c is: (c. If log [log (log ] =, the equls: 8 56 (c 5 Noe 008 Decemer. If log (log + log the: (c 6 8. If A, B d C strted usiess y ivestig,6,000, 8,000 d,0,000. If t the ed of the yer profit is,,000 the the shre of ech is: 7,600, 8,00,,,000 8,00,,,000, 7,600 (c 7,000,,000,,,000 8,000,,,00, 7, Jue 5. If p p q the the vlue of is: q p q -/7 (c / Fourth proportiol to,, ( + is: ( + ( (c ( + (
4 7. If = / + -/ the fid vlue of (c 0 8. Fid the vlue of: [ { ( - } -/ / (c Noe of these. log (m + = log m + log, m c e epressed s: m = m = (c m = m = 0. log ( + log ( + =. Fid 6 0 (c Noe of these 00 - Decemer. / / (c / /. If y 5 = 60. The wht is the vlue of, y,?,,,, (c,,,,. Fid the vlue of log 5 log ( log ( (c Noe 00 Jue. If = the is equl to: 7 (c 7 5. If log + log c = 0 the = c = - c (c = c = & c re reciprocls 6. Wht must e dded to ech term of the rtio : 68, so tht it ecomes :? 5 (c 8 7. The studets of two clsses re i the rtio 5 : 7, if 0 studets left from ech clss, the remiig studets re i the rtio of : 6 the the umer of studets i ech clss is: 0, 0 5, (c 0, 60 50, Decemer 8. The vlue of log + log + log + + log will e: ( log ( + log (c log Noe of these. The recurrig deciml c e epressed s / / (c 6/ 5/ log 0 log Solve: = 0-0 (c If A : B = : 5, the (0A + B : (5A + B is equl to 7 : 7 : (c 6 : 5 7 :
5 0 Jue 5. If = m! where ( m is positive iteger > the the vlue of:... log log log log m 0 (c 5. I film shootig, A d B received moey i certi rtio d B d C lso received the moey i the sme rtio. If A gets,60,000 d C gets,50,000. Fid the mout received y B?,00,000,50,000 (c,00,000,50, Decemer 5. The rtio compouded of : 5 d su-duplicte of : is 8:5. The vlue of is (c If log + log = 6, the the vlue of is 6 (c If X vries iversely s squre of Y d give tht Y = for X =, the the vlue of X for Y = 6 will e (c / / ( 57. The vlue of is equl to ( /5 /6 (c / / 58. If log y = 00 d log = 0, the the vlue of y is: 0 00 (c,000 0, Which of the umers re ot i proportio? 6, 8, 5, 7 7,, 6 (c 8, 7,, 8 8, 6,, 0 Decemer 60. Fid the vlue of, if ( / = ( / (c 6 6. Which of the followig is true if c c c log ( + c + c = c log = c c (c log (c = 0 log ( + + c = 0 6. Fid two umers such tht me proportiol etwee them is 8 d third proportiol etwee them is., 6 8, (c 7, 8 6, 0 - Jue 6. For wht vlue of, the equtio log = log is true? 6 (c 8 6. The me proportiol etwee d 5 is: (c The triplicte rtio of : 5 is: 5 : 6 6 : 5 (c 6 : 5 0 : ***
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