8th Class Mathematics Direct and Inverse Proportions Question Bank

done Direct and Inverse Proportions Total Questions - 50

• question_answer1)
  Observe the given table.

  x	4	6	8	10	12
  y	8	12	16	20	24

  What can be said about x and y?
  A)
   x and y are directly proportional. done clear
  B)
   x is inversely proportional to y. done clear
  C)
   y is inversely proportional to x. done clear
  D)
   There is no proportionality between x and y. done clear
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• question_answer2)
  A van covers \[432\text{ }km\] with 36 litres of diesel. How much distance would it cover with 25 litres of diesel?
  A)
   \[200\,km\]      done clear
  B)
          \[300\,km\]       done clear
  C)
          \[100\,km\]      done clear
  D)
          \[350\,km\] done clear
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• question_answer3)
  A photograph of a type of bacteria enlarged 50000 times attains a length of 5 cm. What is the actual length of bacteria?
  A)
   \[1000\,cm\]                                     done clear
  B)
   \[{{10}^{-3}}\,cm\]         done clear
  C)
          \[{{10}^{-4}}\,cm\]         done clear
  D)
          \[{{10}^{-2}}\,cm\]                         done clear
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• question_answer4)
  If the cost of 27 bags of paddy is \[Rs.9450,\] what is the cost of 36 bags of paddy?
  A)
   \[Rs.12000\]                      done clear
  B)
   \[Rs.12600\]      done clear
  C)
          \[Rs.16200\]     done clear
  D)
          \[Rs.10620\]                      done clear
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• question_answer5)
  The scale of a map is \[1:3\times {{10}^{7}}\]Two cities are \[5\text{ }cm\] apart on the map. Find the actual distance between them in kilometres.
  A)
   \[1500\,km\]                                     done clear
  B)
   \[1000\,km\]     done clear
  C)
   \[1100\,km\]                                     done clear
  D)
   \[2000\,km\]                     done clear
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• question_answer6)
  A train is moving at a uniform speed of 75 km/hr. How far will it travel in 36 minutes?
  A)
   \[60\text{ }km\]                              done clear
  B)
   40 km   done clear
  C)
          \[50\text{ }km\]              done clear
  D)
          \[45\text{ }km\]                              done clear
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• question_answer7)
  If x and y are directly proportional, find the respective values of \[{{x}_{1}},{{x}_{2}}\] and \[{{y}_{1}}\] in the table given.

  x	3	\[{{x}_{1}}\]	\[{{x}_{2}}\]	10
  Y	30	50	80	Y,

  A)
   \[{{x}_{1}}=8;\,{{x}_{2}}=2;{{y}_{1}}=100\] done clear
  B)
   \[{{x}_{1}}=5;{{x}_{2}}=8;{{y}_{1}}=100\] done clear
  C)
   \[{{x}_{1}}=2;{{x}_{2}}=8;{{y}_{1}}=100\] done clear
  D)
   \[{{x}_{1}}=5,{{x}_{2}}=8,{{y}_{1}}=120\] done clear
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• question_answer8)
  A car takes 3 hours to reach a destination by travelling at\[60\text{ }km/h\]. How long will it take while travelling at\[90\text{ }km/h\]?
  A)
   1 hour 30 minutes done clear
  B)
   1 hour 40 minutes done clear
  C)
   2 hours 40 minutes done clear
  D)
   2 hours done clear
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• question_answer9)
  If 24 workers can paint a wall in 45 hours, how many workers are required to do the same work in 20 hours?
  A)
   \[45\]                                   done clear
  B)
   \[24\]                   done clear
  C)
          \[54\]                   done clear
  D)
          \[36\]                   done clear
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• question_answer10)
  If the weight of 15 sheets of thick paper is 50 grams, how many sheets of the same paper would weigh \[1\frac{1}{4}\] kilograms?
  A)
   \[300\]                                 done clear
  B)
   \[250\]                 done clear
  C)
          \[200\]                 done clear
  D)
          \[375\] done clear
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• question_answer11)
  If 32 horses consume \[112\text{ }kg\] of gram in a certain period, how much gram will be consumed by 16 horses during the same period?
  A)
   \[56\,kg\]                           done clear
  B)
   \[48.5\,kg\]       done clear
  C)
          \[31.5\,kg\]       done clear
  D)
          \[50\,kg\] done clear
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• question_answer12)
  x varies inversely as square of y. Given that \[y=3\]for \[x=1\].find the value of x for \[y=4\].
  A)
   \[3\]                                     done clear
  B)
   \[9\]     done clear
  C)
          \[\frac{1}{3}\]                                   done clear
  D)
                          \[\frac{9}{16}\] done clear
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• question_answer13)
  The price of 357 mangoes is \[Rs.1517.25\]. What will be the approximate price of 49 dozens of such mangoes?
  A)
   \[Rs.\,3000\]                                     done clear
  B)
   \[Rs.\,3500\]     done clear
  C)
          \[Rs.\,4000\]                     done clear
  D)
          \[Rs.\,2500\]     done clear
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• question_answer14)
  If the cost of "x" metres of wire is "d" rupees, what is the cost of "y" metres of wire at the same rate?
  A)
   \[Rs.\,\left( \frac{yd}{x} \right)\]                             done clear
  B)
   \[Rs.\,(xy)\]      done clear
  C)
          \[Rs.\,(yd)\]      done clear
  D)
          \[Rs.\,\left( \frac{xy}{d} \right)\] done clear
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• question_answer15)
  A contractor can complete a certain piece w of work in 9 days. He employed certain number of men, but 6 of them being absent from the very first day, the rest could finish the work in 15 days. How many men were originally employed?
  A)
   \[12\]                                                   done clear
  B)
   \[15\]                   done clear
  C)
   \[18\]                                   done clear
  D)
          \[24\] done clear
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• question_answer16)
  If \[11.25\text{ }m\] of a uniform iron rod weighs \[42.75\text{ }kg,\]what will be the weight of \[6\text{ }m\]of the same rod?
  A)
   \[22.8\,kg\]                       done clear
  B)
   \[25.6\,kg\]       done clear
  C)
   \[28\,kg\]           done clear
  D)
          \[26.5\,kg\] done clear
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• question_answer17)
  On a scale of a map, \[0.6\text{ }cm\] represents \[6.6\text{ }km\] If the distance between the points on the map is\[80.5\text{ }cm\]. What is the actual distance between these places?
  A)
   \[9\,km\]                            done clear
  B)
   \[72.5\,km\]         done clear
  C)
                          \[190.75\,km\]                 done clear
  D)
          \[885.5\,km\] done clear
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• question_answer18)
  A flagstaff \[17.5\text{ }m\] high casts a shadow of length\[40.25\text{ }m\]. What is the height of the building which casts a shadow of length \[28.75\text{ }m\] under similar conditions?
  A)
   \[\text{10 }m\]                                done clear
  B)
   \[12.5\,m\]        done clear
  C)
   \[~17.5\,m\]                     done clear
  D)
          \[21.25\,m\]                      done clear
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• question_answer19)
  36 men can construct a bridge in 18 days. In how many days will 27 men complete the construction?
  A)
   \[12\]                                                   done clear
  B)
   \[18\]                   done clear
  C)
          \[22\]                   done clear
  D)
          \[24\]                   done clear
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• question_answer20)
  A rope makes 70 rounds of the circumference of a cylinder whose radius of the base is\[14\text{ }cm\] How many times can it go round a cylinder with radius \[20\text{ }cm\]?
  A)
   \[40\]                                   done clear
  B)
  \[49\]                    done clear
  C)
   \[100\]                 done clear
  D)
          \[54\]                   done clear
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• question_answer21)
  A certain number of men can finish a piece of work in 100 days. If, there were 10 men less, it would take 10 days more for the work to be finished. How many men were there originally?
  A)
   \[75\]                                                   done clear
  B)
   \[82\]                   done clear
  C)
          \[100\]                 done clear
  D)
          \[110\] done clear
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• question_answer22)
  In a camp, 95 men had provisions for 200 days. After 5 days, 30 men left the camp. For how many days will the remaining provisions last?
  A)
   \[180\]                 done clear
  B)
          \[285\]                 done clear
  C)
   \[139\frac{16}{19}\]                       done clear
  D)
          \[200\] done clear
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• question_answer23)
  A garrison of 500 men had provisions for 27 days. After 3 days, a reinforcement of 300 men arrived. For how many more days will the remaining provisions last?
  A)
   \[15\]                                                   done clear
  B)
   \[16\]                   done clear
  C)
          \[17\frac{1}{2}\]              done clear
  D)
          \[18\]                   done clear
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• question_answer24)
  If a quarter kg of green chillies cost 60 paise, how many paise will 200 g cost?
  A)
   \[48\text{ }paise\]                          done clear
  B)
   \[54\text{ }paise\]          done clear
  C)
          \[56\text{ }paise\]          done clear
  D)
          \[72\text{ }paise\] done clear
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• question_answer25)
  A recipe for 20 rolls needs 5 tablespoons w of butter. How many tablespoons of butter is needed for 30 rolls?
  A)
   \[6\]                                     done clear
  B)
   \[7\]    done clear
  C)
   \[7.5\]                                  done clear
  D)
                                                         \[6.5\] done clear
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• question_answer26)
  Food in a camp lasts for 8 men for 29 weeks. How long would the food last for 10 men?
  A)
  \[22.3\]weeks                                   done clear
  B)
   \[24\]weeks      done clear
  C)
          \[32\] weeks                     done clear
  D)
          \[23.2\]weeks                  done clear
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• question_answer27)
  A wheel revolves 19500 times in 3 hours.  How many times does it revolve in 7 hours?
  A)
   \[54500\]                            done clear
  B)
   \[55400\] done clear
  C)
   \[45500\]            done clear
  D)
          \[50450\]            done clear
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• question_answer28)
  Suman drove \[244\text{ }km\] in 4 hours. How long will he take to drive 366 km going at the same speed?
  A)
   8 hours                                done clear
  B)
   4 hours                done clear
  C)
          10 hours              done clear
  D)
          6 hours done clear
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• question_answer29)
  A typist can finish typing 3 pages in 5 minutes. How many minutes does it take him to type 10 pages?
  A)
  \[16.7\]minutes done clear
  B)
   \[17.6\]minutes done clear
  C)
   \[180\]minutes done clear
  D)
   \[160\]minutes done clear
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• question_answer30)
  6 workers complete a job in 8 days. How Br many workers are needed to complete the job 2 days in advance?
  A)
   \[4\]                                     done clear
  B)
   \[8\]                     done clear
  C)
   \[10\]                                   done clear
  D)
          \[6\]                     done clear
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• question_answer31)
  A supply of food lasts for a week for 25 families. How long would it last if 5 more families are to be supplied?
  A)
   5 days                                  done clear
  B)
   6 days  done clear
  C)
          \[\frac{5}{6}\] of a week done clear
  D)
          \[1\frac{1}{5}\]weeks done clear
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• question_answer32)
  5 people can paint a wall in 5 hours. In how many hours can 3 people paint the same wall?
  A)
   \[8\frac{2}{3}\] hours                    done clear
  B)
   \[8\frac{1}{3}\] hours    done clear
  C)
   \[9\frac{1}{3}\]hours    done clear
  D)
          8 hours done clear
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• question_answer33)
  A car needs 33 litres of petrol to cover a 'Br distance of 363 km. Petrol costs ' 78 per litre. How much would one spend on a journey of 407 km by that car?
  A)
   \[Rs.2886\]                        done clear
  B)
   \[Rs.2780\]        done clear
  C)
   \[Rs.2618\]       done clear
  D)
          \[Rs.2870\]        done clear
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• question_answer34)
  John bought 9 bookstore 36. How much far should he pay for 5 such books?
  A)
   \[Rs.\,18\]                          done clear
  B)
   \[Rs.\,12\]          done clear
  C)
          \[Rs.\,72\]          done clear
  D)
          \[Rs.\,20\] done clear
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• question_answer35)
  A shirt costs \[Rs.520\]and a pair of trousers cost\[145\]. How much does it cost for 2 such shirts and 3 pairs of such trousers?
  A)
   \[\text{Rs}.1040\]                           done clear
  B)
   \[\text{Rs}.1475\]           done clear
  C)
   \[\text{Rs}\text{.605}\]               done clear
  D)
          \[\text{Rs}\text{.435}\]                               done clear
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• question_answer36)
  A van travels \[210\text{ }km\] in 3 hours. How far can it travel in 5 hours?
  A)
   \[350\,km\]                       done clear
  B)
   \[70\,km\]         done clear
  C)
          \[35\,km\]         done clear
  D)
          \[270\,km\]       done clear
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• question_answer37)
  A tailor makes 16 dresses from a \[40\text{ }m\]long material. How much material would be needed for 20 such dresses?                             
  A)
   \[20\text{ }m\]                                done clear
  B)
   \[60\text{ }m\]                done clear
  C)
          \[\text{28 }m\]                done clear
  D)
          \[\text{50 }m\] done clear
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• question_answer38)
  A shopkeeper makes a profit of \[Rs.15\] from 36 tins of oil. How much profit does he make from 66 such tins?
  A)
   \[Rs.32.50\]                       done clear
  B)
   \[Rs.22.50\]       done clear
  C)
          \[Rs.27.50\]       done clear
  D)
          \[Rs.18.50\]       done clear
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• question_answer39)
  Three people paint a house in 20 days. How many days do 30 people take to do the same?
  A)
   3 days                                  done clear
  B)
   2 days  done clear
  C)
          60 days                done clear
  D)
          12 days                                done clear
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• question_answer40)
  A car takes one hour to cover a certain distance at\[60\text{ }km/h\]. How long will the same journey take at \[80\text{ }km/h\]?
  A)
   45 minutes                         done clear
  B)
   2 hours                done clear
  C)
          90 minutes         done clear
  D)
          3 hours done clear
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• question_answer41)
  If 45 students can consume a stock of food in 2 months, for how many days does the same stock of food last for 27 students?
  A)
   \[100\]                                 done clear
  B)
   \[144\]                 done clear
  C)
   \[160\]                 done clear
  D)
          \[180\]                 done clear
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• question_answer42)
  A man working 8 hours a day takes 5 days to complete a project. How many hours a day must he work to complete it in 4 days?
  A)
   \[10\]                                                   done clear
  B)
   \[11\]                   done clear
  C)
   \[12\]                                   done clear
  D)
          \[14\]   done clear
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• question_answer43)
  A rope makes 260 rounds of a cylinder with base radius 20 cm. How many times can it go round a cylinder with base radius 26cm?
  A)
   \[130\]                                 done clear
  B)
   \[300\] done clear
  C)
   \[200\]                 done clear
  D)
          \[150\]                 done clear
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• question_answer44)
  In a camp, there is a meal for 120 men or 200 children. If 150 children have taken the meal, how many men will be catered to with the remaining meal?
  A)
   \[20\]                                   done clear
  B)
   \[30\]                   done clear
  C)
          \[40\]                   done clear
  D)
          \[50\] done clear
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• question_answer45)
  A wheel that has 6 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 21 revolutions, what is the number of revolutions made by the larger wheel?
  A)
   \[4\]                                     done clear
  B)
   \[9\]     done clear
  C)
   \[12\]                                   done clear
  D)
          \[49\] done clear
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• question_answer46)
  A fort had provision of food for 150 men for 45 days. After 10 days, 25 men left the fort. For how many days does the remaining food last?
  A)
   \[29\frac{1}{5}\]                              done clear
  B)
   \[37\frac{1}{4}\]              done clear
  C)
   \[42\]                   done clear
  D)
          \[54\] done clear
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• question_answer47)
  A man completes \[\frac{5}{8}\] of a job in 10 days. At this rate, how many more days will it take him to finish the job?
  A)
   \[5\]                                     done clear
  B)
   \[6\]    done clear
  C)
   \[7\]                     done clear
  D)
   \[7\frac{1}{2}\]                done clear
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• question_answer48)
  5 women can clear a piece of land in 4 days. How many more women will be required to clear it in one day?
  A)
   \[10\]                                                   done clear
  B)
   \[20\]                   done clear
  C)
          \[25\]                   done clear
  D)
          \[15\]                   done clear
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• question_answer49)
  A Satish takes 24 minutes to reach his school, travelling at\[15\text{ }km/h\]. At what speed must he go to reach his school in 18 minutes?
  A)
   \[20\text{ }km/h\]                         done clear
  B)
   \[30\text{ }km/h\]         done clear
  C)
          \[24\text{ }km/h\]         done clear
  D)
          \[18\text{ }km/h\] done clear
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• question_answer50)
  8 bags of cattle feed are needed to feed 4 cows for 2 months. How long will the same feed last to feed 6 cows?
  A)
   4 months                            done clear
  B)
   \[1\frac{1}{3}\] months                done clear
  C)
   1 months            done clear
  D)
          3 months done clear
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