
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.
B) x is inversely proportional to y.
C) y is inversely proportional to x.
D) There is no proportionality between x and y.
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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) \[200\,km\]
B) \[300\,km\]
C) \[100\,km\]
D) \[350\,km\]
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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) \[1000\,cm\]
B) \[{{10}^{3}}\,cm\]
C) \[{{10}^{4}}\,cm\]
D) \[{{10}^{2}}\,cm\]
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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) \[Rs.12000\]
B) \[Rs.12600\]
C) \[Rs.16200\]
D) \[Rs.10620\]
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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) \[1500\,km\]
B) \[1000\,km\]
C) \[1100\,km\]
D) \[2000\,km\]
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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) \[60\text{ }km\]
B) 40 km
C) \[50\text{ }km\]
D) \[45\text{ }km\]
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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) \[{{x}_{1}}=8;\,{{x}_{2}}=2;{{y}_{1}}=100\]
B) \[{{x}_{1}}=5;{{x}_{2}}=8;{{y}_{1}}=100\]
C) \[{{x}_{1}}=2;{{x}_{2}}=8;{{y}_{1}}=100\]
D) \[{{x}_{1}}=5,{{x}_{2}}=8,{{y}_{1}}=120\]
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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
B) 1 hour 40 minutes
C) 2 hours 40 minutes
D) 2 hours
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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) \[45\]
B) \[24\]
C) \[54\]
D) \[36\]
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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) \[300\]
B) \[250\]
C) \[200\]
D) \[375\]
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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) \[56\,kg\]
B) \[48.5\,kg\]
C) \[31.5\,kg\]
D) \[50\,kg\]
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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) \[3\]
B) \[9\]
C) \[\frac{1}{3}\]
D) \[\frac{9}{16}\]
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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) \[Rs.\,3000\]
B) \[Rs.\,3500\]
C) \[Rs.\,4000\]
D) \[Rs.\,2500\]
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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) \[Rs.\,\left( \frac{yd}{x} \right)\]
B) \[Rs.\,(xy)\]
C) \[Rs.\,(yd)\]
D) \[Rs.\,\left( \frac{xy}{d} \right)\]
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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) \[12\]
B) \[15\]
C) \[18\]
D) \[24\]
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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) \[22.8\,kg\]
B) \[25.6\,kg\]
C) \[28\,kg\]
D) \[26.5\,kg\]
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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) \[9\,km\]
B) \[72.5\,km\]
C) \[190.75\,km\]
D) \[885.5\,km\]
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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) \[\text{10 }m\]
B) \[12.5\,m\]
C) \[~17.5\,m\]
D) \[21.25\,m\]
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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) \[12\]
B) \[18\]
C) \[22\]
D) \[24\]
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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) \[40\]
B) \[49\]
C) \[100\]
D) \[54\]
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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) \[75\]
B) \[82\]
C) \[100\]
D) \[110\]
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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) \[180\]
B) \[285\]
C) \[139\frac{16}{19}\]
D) \[200\]
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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) \[15\]
B) \[16\]
C) \[17\frac{1}{2}\]
D) \[18\]
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question_answer24) If a quarter kg of green chillies cost 60 paise, how many paise will 200 g cost?
A) \[48\text{ }paise\]
B) \[54\text{ }paise\]
C) \[56\text{ }paise\]
D) \[72\text{ }paise\]
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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) \[6\]
B) \[7\]
C) \[7.5\]
D) \[6.5\]
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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
B) \[24\]weeks
C) \[32\] weeks
D) \[23.2\]weeks
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question_answer27) A wheel revolves 19500 times in 3 hours. How many times does it revolve in 7 hours?
A) \[54500\]
B) \[55400\]
C) \[45500\]
D) \[50450\]
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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
B) 4 hours
C) 10 hours
D) 6 hours
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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
B) \[17.6\]minutes
C) \[180\]minutes
D) \[160\]minutes
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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) \[4\]
B) \[8\]
C) \[10\]
D) \[6\]
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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
B) 6 days
C) \[\frac{5}{6}\] of a week
D) \[1\frac{1}{5}\]weeks
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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
B) \[8\frac{1}{3}\] hours
C) \[9\frac{1}{3}\]hours
D) 8 hours
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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) \[Rs.2886\]
B) \[Rs.2780\]
C) \[Rs.2618\]
D) \[Rs.2870\]
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question_answer34) John bought 9 bookstore 36. How much far should he pay for 5 such books?
A) \[Rs.\,18\]
B) \[Rs.\,12\]
C) \[Rs.\,72\]
D) \[Rs.\,20\]
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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) \[\text{Rs}.1040\]
B) \[\text{Rs}.1475\]
C) \[\text{Rs}\text{.605}\]
D) \[\text{Rs}\text{.435}\]
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question_answer36) A van travels \[210\text{ }km\] in 3 hours. How far can it travel in 5 hours?
A) \[350\,km\]
B) \[70\,km\]
C) \[35\,km\]
D) \[270\,km\]
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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) \[20\text{ }m\]
B) \[60\text{ }m\]
C) \[\text{28 }m\]
D) \[\text{50 }m\]
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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) \[Rs.32.50\]
B) \[Rs.22.50\]
C) \[Rs.27.50\]
D) \[Rs.18.50\]
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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
B) 2 days
C) 60 days
D) 12 days
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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
B) 2 hours
C) 90 minutes
D) 3 hours
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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) \[100\]
B) \[144\]
C) \[160\]
D) \[180\]
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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) \[10\]
B) \[11\]
C) \[12\]
D) \[14\]
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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) \[130\]
B) \[300\]
C) \[200\]
D) \[150\]
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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) \[20\]
B) \[30\]
C) \[40\]
D) \[50\]
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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) \[4\]
B) \[9\]
C) \[12\]
D) \[49\]
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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) \[29\frac{1}{5}\]
B) \[37\frac{1}{4}\]
C) \[42\]
D) \[54\]
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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) \[5\]
B) \[6\]
C) \[7\]
D) \[7\frac{1}{2}\]
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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) \[10\]
B) \[20\]
C) \[25\]
D) \[15\]
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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) \[20\text{ }km/h\]
B) \[30\text{ }km/h\]
C) \[24\text{ }km/h\]
D) \[18\text{ }km/h\]
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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
B) \[1\frac{1}{3}\] months
C) 1 months
D) 3 months
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