6th Class Mathematics Ratio and Proportion Question Bank

done Ratio and Proportion Total Questions - 40

• question_answer1)
  Which among the following statements is incorrect?
  A)
   The order of terms in a proportion is important. done clear
  B)
   The ratio of Rs. 6 to 50 paise is\[3:25\]. done clear
  C)
   \[12:15=144:180\] done clear
  D)
  14 chocolates: 126 chocolates = 12 bananas: 108 bananas done clear
  E)
  None of these done clear
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• question_answer2)
  The ratio of the number of diagonals of a pentagon to the number of edges of a cube is___.
  A)
   \[4:5\]  done clear
  B)
   \[1:2\] done clear
  C)
   \[5:12\] done clear
  D)
  \[5:6\] done clear
  E)
  None of these done clear
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• question_answer3)
  The perimeter of a square and a rectangle is 172 cm and 258 cm respectively. The ratio of their perimeters is ??.
  A)
   \[2:3\] done clear
  B)
   \[1:6\]  done clear
  C)
   \[3:4\] done clear
  D)
  \[5:6\] done clear
  E)
  None of these done clear
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• question_answer4)
  There are m boys and n girls in a class. If total number of boys in the class is 24 and the ratio of number of boys to the total number of students in the class is 4: 7, then find the number of girls in the class.
  A)
   15  done clear
  B)
   18 done clear
  C)
   14        done clear
  D)
  28 done clear
  E)
  None of these done clear
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• question_answer5)
  In a Box, the ratio of red balls and blue balls is 7 11. Which among the following can be the total number of balls in the box?
  A)
   22        done clear
  B)
   28 done clear
  C)
   54 done clear
  D)
  44 done clear
  E)
  None of these done clear
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• question_answer6)
  The heights of two students in the class are 120 cm and 128 cm. The ratio between their heights is _____.
  A)
   \[5:4\]   done clear
  B)
   \[3:5\] done clear
  C)
   \[1:16\] done clear
  D)
  \[15:16\] done clear
  E)
  None of these done clear
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• question_answer7)
  If a bus travels 140 km in 4 hours and a train travels 288 km in 4 hours at uniform speeds, then the ratio of the distances travelled by them in 2 hours is___.
  A)
   \[32:63\]           done clear
  B)
   \[35:68\] done clear
  C)
   \[34:73\]           done clear
  D)
  \[35:72\] done clear
  E)
  None of these done clear
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• question_answer8)
  Which among the following statements is correct?
  A)
   A ratio expressed in lowest form has no common factor other than two in its terms. done clear
  B)
   Ratio of Rs 5 to Rs 100 is the same as the ratio of Rs 12 to Rs 250, done clear
  C)
   25 g: 200g = 1m: 800 cm done clear
  D)
  All the above done clear
  E)
  None of these done clear
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• question_answer9)
  An office of a company opens at 9: 30 am to 6: 00 pm. If the timing for the lunch break in the office is 30 minutes, then find the ratio of the lunch break to the total working hours in the office,
  A)
   \[1:16\] done clear
  B)
   \[1:17\] done clear
  C)
   \[1:18\] done clear
  D)
  \[1:20\] done clear
  E)
  None of these done clear
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• question_answer10)
  Find the missing number in the following. \[\frac{21}{189}=\frac{?}{207}\] ?
  A)
   7 done clear
  B)
   8 done clear
  C)
   9         done clear
  D)
  23 done clear
  E)
  None of these done clear
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• question_answer11)
  The marked price of a chair is Rs 680 and its sale price is Rs 800. Find the ratio of the sale price to the marked price.
  A)
   \[18:17\] done clear
  B)
   \[19:18\] done clear
  C)
   \[20:18\] done clear
  D)
  \[20:17\] done clear
  E)
  None of these done clear
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• question_answer12)
  If m, t, s, r are in proportion then which one among the following statements is true?
  A)
   m: t = s: r   done clear
  B)
   mr = st done clear
  C)
   r: s = t: m done clear
  D)
  All the above done clear
  E)
  None of these done clear
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• question_answer13)
  Find the greatest ratio among the ratios \[7:8,\]\[8:9,\] \[9:10,\] \[10:11\] and \[6:7\]
  A)
   \[7:8\] done clear
  B)
   \[8:9\] done clear
  C)
   \[6:7\] done clear
  D)
  \[10:11\] done clear
  E)
  None of these done clear
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• question_answer14)
  Find the difference of two numbers whose sum is 182 and whose ratio is
  A)
   28 done clear
  B)
   32 done clear
  C)
   34 done clear
  D)
  36 done clear
  E)
  None of these done clear
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• question_answer15)
  Find the ratio of the shaded portion to the unshaded portion in the shown figure.
  A)
   \[3:16\] done clear
  B)
   \[3:13\] done clear
  C)
   \[3:8\] done clear
  D)
  \[2:15\] done clear
  E)
  None of these done clear
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• question_answer16)
  A rectangular park is 5 m wide and 60.5 m long. The ratio of its width to its perimeter is
  A)
   \[121:210\] done clear
  B)
   \[7:21\] done clear
  C)
   \[11:21\]           done clear
  D)
  \[11:42\] done clear
  E)
  None of these done clear
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• question_answer17)
  20 g of caustic soda dissolved in 120 ml of water makes a solution of caustic soda. Find the amount of caustic soda needed for 1.08 litre of water to make the same type of solution.
  A)
   160 g   done clear
  B)
   70 g done clear
  C)
   180 g   done clear
  D)
  190 g done clear
  E)
  None of these done clear
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• question_answer18)
  Of the 378 persons working in a company, the ratio of the number of to the total number of persons is 5: 9. Find the ratio of the number of men to that of women.
  A)
   \[5:3\]   done clear
  B)
   \[5:4\] done clear
  C)
   \[5:7\]   done clear
  D)
  \[4:9\] done clear
  E)
  None of these done clear
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• question_answer19)
  In the following figure, each division equals to 1 cm, Identify the incorrect ratio of the following distances:
  A)
  \[AE:CF=4:3~\] done clear
  B)
   \[BD:CI=1:3\] done clear
  C)
  \[BG:\text{ }Dl=5:4\]  done clear
  D)
  \[CF:FJ=3:4\] done clear
  E)
  None of these done clear
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• question_answer20)
  In shown figure, find the ratio of the area of the shaded portion to that of the whole figure.
  A)
   \[7:18\] done clear
  B)
   \[7:15\] done clear
  C)
   \[7:8\]  done clear
  D)
  \[7:9\] done clear
  E)
  None of these done clear
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• question_answer21)
  A farmer planted 2160 plants in a field in rows each having 120 plants. A worm destroyed 36 plants in each row. How many plants did the worm destroy in the whole field?
  A)
   648 done clear
  B)
   1512 done clear
  C)
   846 done clear
  D)
  1268 done clear
  E)
  None of these done clear
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• question_answer22)
  Find the value of A + B by using the following proportion, \[\frac{1872}{3276}=\frac{A}{259}=\frac{828}{8}\]
  A)
   1589  done clear
  B)
   1597 done clear
  C)
   1379 done clear
  D)
  1277 done clear
  E)
  None of these done clear
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• question_answer23)
  In an election, the votes cast for two of the candidates were in the ratio 6: 11. If the successful candidate received 18755 votes, how many votes did his opponent receive?
  A)
   10230 done clear
  B)
   12156 done clear
  C)
   14690 done clear
  D)
  11324 done clear
  E)
  None of these done clear
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• question_answer24)
  The minute hand of a watch moves \[360{}^\circ \] in an hour. By how much degree will it move in 24 minutes?
  A)
  \[168{}^\circ \] done clear
  B)
   \[134{}^\circ \] done clear
  C)
  \[144{}^\circ \] done clear
  D)
  \[154{}^\circ \] done clear
  E)
  None of these done clear
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• question_answer25)

  Directions: A floral design is made from tiles each of dimensions 42 cm by 28 cm (as shown in the figure).

  Find the ratios of the perimeter of the shaded portion to the perimeter of the whole figure.
  A)
   \[\frac{17}{259}\] done clear
  B)
   \[\frac{119}{37}\] done clear
  C)
   \[\frac{17}{37}\]           done clear
  D)
  \[\frac{129}{259}\] done clear
  E)
  None of these done clear
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• question_answer26)

  Directions: A floral design is made from tiles each of dimensions 42 cm by 28 cm (as shown in the figure).

  Find the ratio of the area of the shaded portion to the area of the unshaded portion.
  A)
   \[\frac{3}{2}\]  done clear
  B)
   \[\frac{3}{11}\] done clear
  C)
   \[\frac{9}{11}\]             done clear
  D)
  \[\frac{7}{13}\] done clear
  E)
  None of these done clear
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• question_answer27)
  A Car can travel 350 km in 21 litres of petrol How much distance will It travel in 33 litres of petrol?
  A)
   550 km done clear
  B)
   560 km done clear
  C)
   565 km             done clear
  D)
  575 km done clear
  E)
  None of these done clear
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• question_answer28)
  Ratio of two quantities is 7: 19. If the larger quantity is 551 g, then smaller quantity is___?
  A)
   213      done clear
  B)
   193  done clear
  C)
   203                  done clear
  D)
  223 done clear
  E)
  None of these done clear
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• question_answer29)
  Find the total cost of 12 chairs and 15 tables if the cost of 23 chairs and 13 tables are Rs 14720 and Rs 11960 respectively,
  A)
   Rs 1570 done clear
  B)
   Rs 1230 done clear
  C)
   Rs 1560  done clear
  D)
  Rs 1470 done clear
  E)
  None of these done clear
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• question_answer30)
  The quarterly school fee in a Public School for Class VI is Rs 16920. What will be the fee for 9 months?
  A)
   Rs 38070          done clear
  B)
   Rs 38060 done clear
  C)
   Rs 39070 done clear
  D)
  Rs 39160 done clear
  E)
  None of these done clear
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• question_answer31)
  If p, m, I and k are in a proportion such that the first term is four times the fourth term and the third term is half of the fourth term then find the ratio between second and fourth term.
  A)
   \[8:1\]               done clear
  B)
   \[2:1\] done clear
  C)
   \[4:1\]   done clear
  D)
  \[1:4\] done clear
  E)
  None of these done clear
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• question_answer32)
  Find the equivalent ratio of \[4:7\] from the options given below.
  A)
  \[16:91\] done clear
  B)
   \[28:63\] done clear
  C)
  \[68:119\]          done clear
  D)
  \[92:154\] done clear
  E)
  None of these done clear
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• question_answer33)
  In a school, the ratio of the number of boys to the number of girls is\[7:5\]. If there are 780 more boys than girls then which one of the following statements is correct?
  A)
   The total number of boys and girls in the school are 4680. done clear
  B)
   The total number of boys in the school is 2630. done clear
  C)
   The total number of girls in the school is 2050. done clear
  D)
  All the above done clear
  E)
  None of these done clear
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• question_answer34)
  If p = 17q and 91r = 7q then the ratio of p to r is___.
  A)
   121 done clear
  B)
   221 done clear
  C)
   201 done clear
  D)
  131 done clear
  E)
  None of these done clear
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• question_answer35)
  The cost of 12 dozens of bananas is Rs 456. What will be the cost of such 264 bananas?
  A)
   Rs 826 done clear
  B)
   Rs 836 done clear
  C)
   Rs 856  done clear
  D)
  Rs 866 done clear
  E)
  None of these done clear
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• question_answer36)
  Find the greatest four digit number whose digits are distinct and in proportion.
  A)
   9832    done clear
  B)
   9642 done clear
  C)
   9362    done clear
  D)
  9632 done clear
  E)
  None of these done clear
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• question_answer37)
  Find the least four digit number whose digits are distinct and in proportion.
  A)
   1224 done clear
  B)
   1239 done clear
  C)
   1236            done clear
  D)
  1248 done clear
  E)
  None of these done clear
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• question_answer38)
  Ramendra and Swapnesh together have Rs 4784. If \[\frac{5}{3}\] of Ramendra's amount is equal to \[\frac{9}{5}\] of Swapnesh's amount. How much amount does Ramendra have?
  A)
   Rs 2384 done clear
  B)
   Rs 2484 done clear
  C)
   Rs 2300                                    done clear
  D)
  Rs 2400 done clear
  E)
  None of these done clear
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• question_answer39)
  The ratio of milk and water in a mixture of 78 litres is \[8:5\]. If this ratio becomes \[3:4\]on adding some water to the mixture, then the quantity of the water further added is______.
  A)
   34 litres done clear
  B)
   24 litres done clear
  C)
   22 litres done clear
  D)
  28 litres done clear
  E)
  None of these done clear
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• question_answer40)
  Some toffees are to be distributed among four students in the ratios\[3:5:7:9\]. If the least number of toffees distributed among them is found to be 72, then find the total number of toffees distributed.
  A)
   576      done clear
  B)
   524 done clear
  C)
   529      done clear
  D)
  642 done clear
  E)
  None of these done clear
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