6th Class Mental Ability Ratio and Proportion Question Bank

done Proportions Total Questions - 40

• question_answer1)
  Identify the simplest form of the ratio of \[75\text{ }cm\] and\[1\text{ }m\].
  A)
   \[2:3\]                          done clear
  B)
   \[3:4\]              done clear
  C)
     \[3:5\]              done clear
  D)
     \[7:10\] done clear
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• question_answer2)
  Find the missing number in the box.
  A)
   11                   done clear
  B)
     12                   done clear
  C)
     23      done clear
  D)
     24 done clear
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• question_answer3)
  A rectangular field measures \[80\,m\] by \[20\,m\]. Find the ratio of its length to its perimeter.
  A)
   \[2:3\]          done clear
  B)
   \[2:5\]              done clear
  C)
     \[3:4\]              done clear
  D)
     \[1:2\] done clear
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• question_answer4)
  Identify the ratio of \[10\text{ }g\] to \[0.15\text{ }kg,\]in its lowest terms.
  A)
   \[1:15\]            done clear
  B)
     \[1:13\]            done clear
  C)
     \[13:1\]            done clear
  D)
     \[15:1\] done clear
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• question_answer5)
  The ratio of number of boys to the number of girls in a class is \[1:2\]. How many boys are there in the class if there are 24 girls?
  A)
   16                   done clear
  B)
     48                   done clear
  C)
     12                   done clear
  D)
     14 done clear
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• question_answer6)
  If  \[2A=2B\] and \[4B=5C,\] find \[A:C\].
  A)
   \[14:3\]                        done clear
  B)
   \[12:5\]            done clear
  C)
     \[11:6\]            done clear
  D)
     \[15:8\] done clear
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• question_answer7)
  If \[x:y=3:4,\]find \[(4x+5y):(5x-2y).\]
  A)
   \[7:32\]    done clear
  B)
                             \[8:30\]            done clear
  C)
     \[32:7\]            done clear
  D)
     \[30:8\] done clear
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• question_answer8)
  If \[\text{Rs}.3692\] is divided among A, B and C in the ratio \[\frac{1}{2}:\frac{1}{3}:\frac{1}{4},\] what amount will B receive?
  A)
   \[Rs.1244\]       done clear
  B)
     \[Rs.1136\]      done clear
  C)
     \[Rs.1050\]      done clear
  D)
     \[Rs.1104\] done clear
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• question_answer9)
  Two complementary angles are in the ratio\[7:11\]. Find the angles.
  A)
   \[{{60}^{o}},{{30}^{o}}\]       done clear
  B)
     \[{{45}^{o}},{{45}^{o}}\]          done clear
  C)
     \[{{70}^{o}},{{20}^{o}}\]          done clear
  D)
     \[{{35}^{o}},{{55}^{o}}\] done clear
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• question_answer10)
  If \[(a+b):(b+c):(c+a)=6:7:8\] and \[(a+b+c)=14,\]find the value of c.
  A)
   6           done clear
  B)
                7                     done clear
  C)
   8        done clear
  D)
     14 done clear
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• question_answer11)
  Two numbers are in the ratio\[3:8\]. If the sum of the numbers is 165, find the numbers.
  A)
   \[36,108\]        done clear
  B)
     \[45,105\]        done clear
  C)
   \[45,120\]        done clear
  D)
     \[38,114\] done clear
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• question_answer12)
  The angles of a triangle are in the ratio\[3:4:5\] Find them.
  A)
   \[{{45}^{o}},{{45}^{o}},{{90}^{o}}\]      done clear
  B)
   \[{{45}^{o}},{{60}^{o}},{{75}^{o}}\]           done clear
  C)
   \[{{50}^{o}},{{40}^{o}},{{90}^{o}}\]      done clear
  D)
         \[{{55}^{o}},{{45}^{o}},{{80}^{o}}\] done clear
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• question_answer13)
  A bag contains 50 paise, 25 paise and 10 paise coins in the ratio \[5:9:4\]amounting to \[Rs.\text{ }1030,\]what is the number of 50 paise coins?
  A)
   360                 done clear
  B)
     200                 done clear
  C)
     1000               done clear
  D)
     480 done clear
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• question_answer14)
  The ratio of one side of an equilateral triangle to one side of a square is\[1:3\]. The sum of the perimeters of the triangle and the square is 60 cm. Find the perimeter of the square.
  A)
    \[54\text{ }cm\]         done clear
  B)
     \[48\text{ }cm\]          done clear
  C)
     \[\text{66 }cm\]          done clear
  D)
     \[\text{75 }cm\] done clear
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• question_answer15)
  Observe the following ratios.

  \[(3:4),\,(5:8),(7:9),(13:16)\]

  Which of the following is the ascending order of the given ratios?
  A)
   \[13:16,\text{ }7:9,\text{ }5:8,\text{ }3:4\] done clear
  B)
   \[3:4,\text{ }7:9,\text{ }5:8,\text{ }13:16\] done clear
  C)
   \[7:9,\text{ }5:8,\text{ }13:16,\text{ }3:4\] done clear
  D)
   \[5:8,\text{ }3:4,\text{ }7:9,\text{ }13:16\] done clear
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• question_answer16)
  Find the missing term in the box.            
  A)
   10                               done clear
  B)
   12                   done clear
  C)
     11      done clear
  D)
     13 done clear
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• question_answer17)
  Find the value of x in the proportion \[3.5:5.6::1.25:x\].
  A)
                4                                 done clear
  B)
   5                     done clear
  C)
   3        done clear
  D)
   2 done clear
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• question_answer18)
  Which of the following is true?
  A)
   23, 16, 15, 12 are in proportion. done clear
  B)
   26, 12, 39, 24 are not in proportion. done clear
  C)
   18, 112, 34, 21 are in proportion. done clear
  D)
   25, 35, 35, 49 are not in proportion. done clear
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• question_answer19)
  The cost of 3 digital cameras and 5 cell phones is\[\text{Rs}.35290\]. What is the cost of 9 digit cameras and 15 cell phones?
  A)
                \[\text{Rs}.11675\]      done clear
  B)
     \[Rs.120350~\]          done clear
  C)
     \[Rs.105870\]  done clear
  D)
     \[Rs.130720\] done clear
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• question_answer20)
  If the cost of 6 bottles of juice is \[\text{Rs}.234,\]what is the cost of 9 bottles of juice?
  A)
   \[\text{Rs}.343\]        done clear
  B)
                 \[\text{Rs}.384\]         done clear
  C)
     \[\text{Rs}\text{.351}\]           done clear
  D)
     \[\text{Rs}\text{.396}\] done clear
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• question_answer21)
  The cost of 48 bags of paddy is\[Rs.16800\]. What is the cost of 36 bags of paddy?
  A)
       \[Rs.10800\]      done clear
  B)
     \[Rs.12600\]   done clear
  C)
     \[Rs.11400\]    done clear
  D)
     \[Rs.9600\] done clear
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• question_answer22)
  If  \[\frac{3}{4}M=\frac{5}{7}N,\] find \[M:N\].
  A)
   \[15:28\]          done clear
  B)
     \[28:15\]          done clear
  C)
     \[20:21\]          done clear
  D)
     \[21.20\] done clear
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• question_answer23)
  If 36 men can do a piece of work in 25 days, in how many days will 15 men do it?
  A)
   65 days                       done clear
  B)
   60 days           done clear
  C)
     55 days           done clear
  D)
     56 days done clear
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• question_answer24)
  A fort had provisions for 450 men for 80 days. After 10 days, 50 more men arrived. How long will the remaining food last at the same rate?
  A)
   68                   done clear
  B)
     66                   done clear
  C)
   63                   done clear
  D)
     64 done clear
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• question_answer25)
  If 5 men can build a wall in 12 days, how many men can build it in 10 days?
  A)
   6 men       done clear
  B)
   8 men             done clear
  C)
     9 men             done clear
  D)
     7 men done clear
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• question_answer26)
  4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?
  A)
   4                     done clear
  B)
     8                     done clear
  C)
     12      done clear
  D)
     16 done clear
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• question_answer27)
  Find the ratio of 80 cm to \[4\frac{2}{5}\] metres.
  A)
   \[11:2\]            done clear
  B)
     \[3:7\]              done clear
  C)
     \[2:11\]            done clear
  D)
     \[7:3\] done clear
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• question_answer28)
  \[\frac{3}{7}\] of Dhanush's monthly income is equal to \[\frac{4}{14}\]. of Madhu's monthly income. What is the ratio of Danush's monthly income to Madhu's monthly income?
  A)
   \[2:3\]                          done clear
  B)
   \[1:2\]              done clear
  C)
     \[2:1\]              done clear
  D)
     \[4:5\] done clear
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• question_answer29)
                                                                                A piece of wire is cut into three smaller pieces in the ratio\[3:2:1\]. If the whole piece of wire is \[75.3\text{ }cm\] long, find the length of the longest piece.
  A)
   \[36.65\text{ }cm\]     done clear
  B)
     \[36.75\text{ }cm\]     done clear
  C)
     \[37.65\text{ }cm\]                 done clear
  D)
   \[37.75\text{ }cm\] done clear
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• question_answer30)
  The ratio of the cost price of a camera to its selling price is\[6:7\]. Sam sold B such cameras at \[Rs.\text{ }210\]each. Find the cost of 8 cameras.
  A)
   \[Rs.\text{1}290\]                   done clear
  B)
   \[Rs.\text{144}0\]       done clear
  C)
     \[Rs.\text{135}0\]       done clear
  D)
     \[Rs.\text{156}0\] done clear
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• question_answer31)
  If \[A:B=5:6\]and \[C:A=7:5,\]find \[A:B:C\]
  A)
   \[5:7:6\]                       done clear
  B)
   \[5:6:7\]           done clear
  C)
     \[35:42:35\]     done clear
  D)
     \[35:35:42\] done clear
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• question_answer32)
  In \[\Delta \,ABC,\] \[AB=6cm.\].lf \[AB:BC:CA=2:3:5,\]by how much is CA longer than BC?
  A)
   \[3\text{ }cm\]               done clear
  B)
                 \[5\,cm\]          done clear
  C)
     \[6\,cm\]                 done clear
  D)
   \[2\,cm\] done clear
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• question_answer33)
  The ratio of cups of water to flour to sugar in a menu for one serving is \[3:1:\frac{1}{2}\]. How many cups of flour would be needed in preparing 5 servings of the menu?
  A)
   30 cups       done clear
  B)
     10 cups           done clear
  C)
     5 cups             done clear
  D)
     3 cups done clear
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• question_answer34)
  The ratio of length and breadth of a rectangle is\[12:5\]. If the breadth is\[3.5\text{ }m\], find its length.
  A)
   \[8.8\,m\]        done clear
  B)
     \[8.6\,m\] done clear
  C)
   \[8.4\,m\]         done clear
  D)
     \[8.2\,m\] done clear
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• question_answer35)
  In a construction company, the mixture of concrete consists of stones, cement and sand in the ratio \[4:5:6\] respectively. If the total weight of concrete is 3375 kg, what is the weight of cement?
  A)
       \[1225\text{ }kg\]          done clear
  B)
                 \[1025\text{ }kg\]        done clear
  C)
     \[1325\,kg\]           done clear
  D)
                 \[1125\,kg\] done clear
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• question_answer36)
  In the given figure, ABCD and PQNM are rectangles. If \[AC=5\text{ }cm,\text{ }AB=24\text{ }cm,\text{ }BC=7\text{ }cm,\] \[PN=10\text{ }cm,\text{ }PQ=8\text{ }cm\text{ }and\text{ }OP=ON\] find the ratio of perimeter of \[\Delta \,OPQ\]and \[\Delta \,OAB\].
  A)
   3                     done clear
  B)
     4        done clear
  C)
     5        done clear
  D)
     2 done clear
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• question_answer37)
  If \[h:k=4:3\]and the sum of h and k is 21, find h.
  A)
   8                     done clear
  B)
     4        done clear
  C)
     9         done clear
  D)
     12 done clear
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• question_answer38)
  Find the ratio of the least prime number to the least composite number.-
  A)
   \[1:2\]          done clear
  B)
   \[2:3\]              done clear
  C)
        \[1:4\]              done clear
  D)
     \[1:3\] done clear
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• question_answer39)
  Ratio of number of boys to number of girls in a tutorial is \[2:3\]. If there are 180 girls, the number of boys.
  A)
   36                   done clear
  B)
     60        done clear
  C)
                 120                 done clear
  D)
     100 done clear
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• question_answer40)
  A machine takes 12 minutes to fill 200 bottles of soda. At this rate, how many minutes will it take to fill 500 bottles of soda?
  A)
       25 minutes       done clear
  B)
           28 minutes      done clear
  C)
     30 minutes       done clear
  D)
              40 minutes done clear
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