6th Class Mathematics Ratio and Proportion Question Bank

done Ratio, Proportion & Unitary Method Total Questions - 40

• question_answer1)
  In the word 'BEAUTIFUL', the ratio of the number of consonants to the number of vowels is
  A)
  \[4:5\] done clear
  B)
  \[4:6\] done clear
  C)
  \[4:7\] done clear
  D)
  \[4:8\] done clear
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• question_answer2)
  Product of mean\[=?\]
  A)
   Product of extremes               done clear
  B)
   Product of two numbers done clear
  C)
   Product of median                 done clear
  D)
   Product of ratio done clear
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• question_answer3)
  The cost of 5 Mental ability books is Rs. 90. What will be the cost of 8 such books?
  A)
   Rs. 124           done clear
  B)
   Rs. 144         done clear
  C)
   Rs. 140                       done clear
  D)
   Rs. 145 done clear
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• question_answer4)
  If \[a:b::c:d,\]the correct statement is
  A)
  \[ab=cd\]                     done clear
  B)
   \[bc=ac\] done clear
  C)
  \[ad=bc\]                     done clear
  D)
   \[bc=da\] done clear
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• question_answer5)
  The value of \[x\] in the proportion, \[9:5::\]\[36:x-3\]
  A)
   38                               done clear
  B)
   23            done clear
  C)
   18                   done clear
  D)
   28 done clear
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• question_answer6)
  If \[x:y=3:1\] then find\[({{x}^{3}}-{{y}^{3}}):({{x}^{3}}+{{y}^{3}})\]
  A)
  \[13:14\]                       done clear
  B)
  \[14:13\]         done clear
  C)
  \[10:11\]                       done clear
  D)
  \[11:10\] done clear
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• question_answer7)
  First, second, third terms of a proportion are respectively 20, 18 and 40. Find its fourth term.
  A)
   36                               done clear
  B)
   34            done clear
  C)
   35                   done clear
  D)
   37 done clear
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• question_answer8)
  The ratio of 2 liters to \[600\text{ }ml\] is
  A)
  \[1:300\]                       done clear
  B)
   \[1:30\] done clear
  C)
  \[3:10\]                         done clear
  D)
   \[10:3\] done clear
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• question_answer9)
  A comparison by __________ is called ratio.
  A)
   Division          done clear
  B)
   Multiplication done clear
  C)
   Addition                      done clear
  D)
   Subtraction done clear
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• question_answer10)
  Which of the following is not equivalent ratio to compare 5 pens to 6 pencils?
  A)
  \[15:18\]                       done clear
  B)
  \[8:10\]         done clear
  C)
  \[20:24\]                       done clear
  D)
   \[25:30\] done clear
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• question_answer11)
  If \[a:b=3:5\]and \[b:c=6:7,\]find \[a:b:c\]
  A)
  \[18:30:35\]                  done clear
  B)
   \[35:30:18~\] done clear
  C)
  \[15:36:35\]                  done clear
  D)
  \[4:5:6\] done clear
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• question_answer12)
  Find the Mean proportional between \[\frac{1}{4}\] and  \[\frac{1}{25}\]
  A)
  \[\frac{1}{10}\]                                 done clear
  B)
   \[\frac{1}{20}\] done clear
  C)
  \[\frac{1}{30}\]                                 done clear
  D)
   \[\frac{1}{40}\] done clear
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• question_answer13)
  26 Cartons of 15 pens each cost Rs. 2145. Find the cost of 40 Cartons of 18 pens.
  A)
   Rs. 3960         done clear
  B)
   Rs. 3690 done clear
  C)
   Rs. 3450                     done clear
  D)
   Rs. 3567 done clear
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• question_answer14)
  If 30% of \[A=0.25\] of \[B=\frac{1}{5}\]of C, then find\[A:B:C=\]?
  A)
  \[12:15:10\]                  done clear
  B)
   \[10:12:15\] done clear
  C)
  \[10:15:12\]                  done clear
  D)
   \[15:12:10\] done clear
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• question_answer15)
  A bus consumes 28 litres of petrol in covering 2100 km. How much petrol will be needed to cover a distance of 3600 Km?
  A)
   48 litres           done clear
  B)
   42 litres         done clear
  C)
   40 litres                       done clear
  D)
   46 litres done clear
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• question_answer16)
  If the sum of A, B and C is 98. If \[A:B=\frac{2}{3}\]and \[B:C=\frac{5}{8}\]then\[B=?\]
  A)
   15                               done clear
  B)
   20            done clear
  C)
   30                   done clear
  D)
   32 done clear
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• question_answer17)
  In a Global Pratibha School trip, Bus 1 has 4 teachers and 14 students, Bus 2 has 3 teachers and 7 students. Bus 3 has 4 teachers and 28 students. Which of the buses has the least teacher- student ratio?
  A)
   Bus 1                          done clear
  B)
   Bus 2 done clear
  C)
   Bus 3             done clear
  D)
   Cannot say done clear
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• question_answer18)
  The mean proportion of \[a\] and \[b\] is 10 and the value of \[a\] is four times the value of\[b\]. The value of \[a+b(a>0,\,\,b>0)\] is
  A)
   20                               done clear
  B)
   25            done clear
  C)
   101                 done clear
  D)
   29 done clear
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• question_answer19)
  If \[A:B=\frac{1}{2}:\frac{3}{8},\] \[B:C=\frac{1}{3}:\frac{5}{9}\]and \[C:D=\frac{5}{6}:\frac{3}{4}\]then find\[A:B:C:D=\]?
  A)
  \[6:4:8:10\]       done clear
  B)
   \[6:8:9:10\] done clear
  C)
  \[8:6:10:9\]                   done clear
  D)
   \[4:6:8:10\] done clear
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• question_answer20)
  The ratio of two numbers is\[2:3\]. If 3 is added to both the numbers then ratio is \[3:4,\]find the sum of two numbers.
  A)
   10                               done clear
  B)
   15 done clear
  C)
   20                   done clear
  D)
   25 done clear
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• question_answer21)
  If\[x=\frac{1}{3}y\] and \[y=\frac{1}{2} z\] then \[x:y:z=\]?
  A)
  \[3:2:1\]                        done clear
  B)
  \[1:2:3\] done clear
  C)
  \[1:3:6\]           done clear
  D)
  \[2:4:6\] done clear
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• question_answer22)
  In 5 minutes, Rohit can prepare 12 letters for mailing. At the same rate, how long will it take him to prepare 192 letters.
  A)
   80 min                        done clear
  B)
   40 min         done clear
  C)
   20 min                        done clear
  D)
   90 min done clear
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• question_answer23)
  A bag contains Rs. 187 in the form of 1 Rs. 50 paise and 10 paise coins in the ratio \[3:4:5\]. Find the number of 10 paise coins.
  A)
   170                             done clear
  B)
   160           done clear
  C)
   136                 done clear
  D)
   102 done clear
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• question_answer24)
  Seats for mathematics, Physics and Chemistry in a school are in the ratio \[5:7:8.\] There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats?
  A)
  \[2:3:4\]                        done clear
  B)
   \[6:7:8\] done clear
  C)
  \[6:8:9\]                        done clear
  D)
   None of these done clear
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• question_answer25)
  Twelve persons can make 360 toys in 8 days. If three persons join them, then how many toys can be made in 8 days.
  A)
   370                             done clear
  B)
   369           done clear
  C)
   450                 done clear
  D)
   539 done clear
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• question_answer26)
  If \[\frac{a}{b}=\frac{c}{d}=\frac{e}{f},\]then \[\frac{6a+9c+2c}{6b+9d+2f}=\]?
  A)
  \[\frac{a}{b}\]                         done clear
  B)
   \[\frac{c}{d}\] done clear
  C)
  \[\frac{e}{f}\]                          done clear
  D)
   All of these done clear
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• question_answer27)
  If \[(3x+4y):\] \[(3x-4y)=\] \[(3c+8d):\] \[(3x-8d)\] then which of the following is true.
  A)
  \[xd=yc\]                     done clear
  B)
   \[2xd=yc\] done clear
  C)
  \[2xd-cd\]                     done clear
  D)
   \[xy-cd\] done clear
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• question_answer28)
  A pipe can fill an empty tank in 12 minutes and another pipe can fill it in 24 min. If both the pipes are kept open simultaneously, then in how many minutes will the tank get filled?
  A)
   8 min                          done clear
  B)
   9 min done clear
  C)
   10 min                        done clear
  D)
   15 min done clear
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• question_answer29)
  Find the value of\[x:y,\frac{8x-10y}{3x+4y}=\frac{4}{5}\]
  A)
  \[55:29\]                       done clear
  B)
  \[36:17\] done clear
  C)
  \[33:14\]                       done clear
  D)
  \[16:11\] done clear
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• question_answer30)
    If the cost of 15 mangoes is Rs. 180, then what is the cost of 25 mangoes (in Rs.)?
  A)
   220                             done clear
  B)
   360           done clear
  C)
   200                 done clear
  D)
   300 done clear
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• question_answer31)
  20 men can finish the construction of a wall in 18 days. How many men are added to finish the work in half a day?
  A)
   700                             done clear
  B)
   800           done clear
  C)
   900                 done clear
  D)
   720 done clear
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• question_answer32)
  If 30% of \[(A+B)=60%\] of \[(A-B),\] then find\[A:B\].
  A)
  \[4:2\]                           done clear
  B)
   \[3:1\] done clear
  C)
  \[1:3\]                           done clear
  D)
   \[3:2\] done clear
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• question_answer33)
  If  \[x:9=y:7=z:4,\]then find\[\frac{x+y+z}{z}=?\]
  A)
   4                                 done clear
  B)
   6             done clear
  C)
   7                                 done clear
  D)
   5 done clear
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• question_answer34)
  If \[\frac{x}{y}=\frac{y}{z}=\frac{z}{R},\]  then \[\frac{{{y}^{3}}+{{z}^{3}}+{{R}^{3}}}{{{x}^{3}}+{{y}^{3}}+{{z}^{3}}}\]
  A)
  \[\frac{x}{y}\]                                    done clear
  B)
   \[\frac{y}{z}\] done clear
  C)
  \[\frac{z}{R}\]                                    done clear
  D)
   \[\frac{R}{x}\] done clear
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• question_answer35)
  A man completes \[\frac{5}{8}\] of a job in 20 days. At this rate, how many more days will it take him to finish the job?
  A)
   12                               done clear
  B)
   16            done clear
  C)
   17                   done clear
  D)
   18 done clear
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• question_answer36)
  Six numbers R, O, H, I, T, S are such that R\[RO=1\], \[OH=\frac{1}{2},\] \[HI=6,\] \[IT=2\]and \[TS=\frac{1}{2}.\]What is the value of (RI: OT : HS) = ?
  A)
  \[4:3:27\]                      done clear
  B)
   \[6:1:9\] done clear
  C)
  \[8:9:9\]           done clear
  D)
   \[72:1:9\] done clear
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• question_answer37)
  Is\[{{a}^{2}}:{{b}^{2}}<1\]?

  I. \[(b-a)\,\,(a+b)=40%\]of \[60-120%\] of 20

  II. \[a<b\]

  Which of the following is true?
  A)
   Only I                          done clear
  B)
   only II          done clear
  C)
   both I and II                done clear
  D)
   Neither 1 nor li done clear
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• question_answer38)
  The ratio of the students in schools \[x,\,\,y\]and \[z\] is \[5:4:7.\]If the number of students hi the schools are increased by 20%, 25% and 20% respectively. What would be the new ratio of the students in schools x, y and z?
  A)
  \[5:5:7\]                        done clear
  B)
   \[30:25:42~\] done clear
  C)
  \[30:20:49\]                  done clear
  D)
   None of these done clear
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• question_answer39)
  21 binders of GOF can bind 1400 books in 15 days. How many binders will be required to bind 800 books in 20 days?
  A)
   7                                 done clear
  B)
   9 done clear
  C)
   12                   done clear
  D)
   14 done clear
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• question_answer40)
  The petrol tank of an automobile can hold f, litres. If a litres was removed when the tank was full, what part of the full tank was removed?
  A)
  \[\ell -a\]                       done clear
  B)
   \[\frac{\ell }{a}\] done clear
  C)
  \[\frac{a}{\ell }\]                                 done clear
  D)
   \[\frac{\ell -a}{a}\] done clear
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