EXERCISE - A
1) If 6 bats cost ₹96, find the cost of 4 bats. Rs64
2) If the cost of 5 balls is ₹75 then find the cost of 7 such balls. Rs105
3) ) If 2 pencils cost ₹6, find the cost of 5 such pencils? Rs15
4) If 7 kg of sugar costs Rs140, find the cost of 10 kg of sugar. Rs200
5) If 14m of cloth costs Rs3864, how much will 24 m cloth cost? Rs 6624
6) If 30 pens cost Rs750, how many pens will cost Rs1000 ? Rs 40
7) if 6 copies of a newspaper cost Rs21. How many copies will cost Rs70? Rs20
8) if 18 dolls cos Rs 630, how many dolls can be bought for Rs 445. Rs13
9) The cost of 140 tennis balls is Rs4900. Find the cost of two dozen such balls. Rs840
10) The railway fare for 61 km is Rs183. Find the fare of 53 km. Rs159
11) A dry-cleaner charges Rs40 to wash 2 shirts. What will be the charge for washing 11 shirts? Rs220
12) A taxi charges a fare of Rs250 for a journey of 150 km. How much would it charge for a journey of 1024 km? ₹2108
13) It takes 60.2 kg of paper to make 700 exercise books. How much paper would be required to make 1550 exercise books? 133.3 kg
14) If 9 kg of sugar costs Rs238.50. How much sugar can be bought for Rs371? 14 kg
15) The cost of 15m of cloth is Rs981. What length of this cloth be purchased for Rs1308? 20m
16) A car covers 432 km in 36 litres of petrol. How much distance would it cover in 25 litres of petrol? 300km
17) A truck travels a distance of 510 km in 34 litres of diesel. How much distance would it cover in 20 litres of diesel? 300 km
18) If 50m of cloth costs Rs3725, how much cloth can be purchased for Rs1788? 24m
19) ) A hotel charges Rs3500 for a stay of 10 days. How much will it charge for a stay of 1 week ? ₹2450
20) Rakesh takes 100 equal steps to cover a distance of 80m. What distance would he cover if he took 375 equal steps of the same size? 300m
21) A man buys 10 L of petrol for Rs420. How much petrol could he have bought for the same amount if the price had been Rs2 less per litre? 10.5L
EXERCISE - B
1) If 12 identical bags of sugar weight 100 kg then how many similar bags of sugar will weight 150 kgs? 18
2) 5 bags of flour of equal size weight 35 kg. How many such bags of flour will weight 56 kg? 8
3) If the weight of 9 sheets of thick paper is 30 grams, how many sheets of the same paper would weight 5/4 kilograms ? 375
4) 350 boxes can be placed in 25 cartoons . How many boxes can be placed in 16 cartoons ? 224
5) A boy is 1.6 metre tall when he is 12 years old. What will be his height when he is 24 years old ?
6) A watch loses 20 seconds in four days. How many seconds does it lose in a week? 35
EXERCISE - C
1) If 6 men take 12 hours to complete a job, how long would 9 men take to do it, provided all of them work at the same rate? 8 days
2) ) 30 men can do a job in 21 days. In how many days would 45 men finish the job? 14days
3) three men can do a job in 8 days. How long will 4 men take to finish the job? 6days
4) 15 workers can repair a road in 24 days. How long will it take for 9 workers to repair the road ? 40days
5) If 20 men complete a job in 4 days, how long will 16 men take to do it? 5 days
6) A military camp has enough food to feed 1000 soldiers for 36 days. If 500 additional soldiers join the camp, how long will the food last? 24 days
7) If 45 men can do a piece of work in 49 days. In how many days will 39 men do it? 63 days
8) If 35 men can reap a field in 8 days, in how many days can 20 men reap the same field? 14 days
9) 30 man can finish a piece of work in 28 days. How many days will be taken by 21 men to finish it? 40 days
10) A hostel has enough food to feed 250 students for 30 days. How long will the food last for 300 students. 25 days
11) 64 children at a camp have provisions for 9 days. Eight more children join the camp. How long will the provisions last ? 8 days
12) Adityi has enough money for six weeks for holidaying if she spends Rs1400 per week. How long will the money last if she spends Rs1050 per week . 8 weeks
13) In a camp, provisions for food was made for 400 people for 30 days. If 500 people turned up for the camp, how long would the food last? 24 days
14) A garrison of 200 men had provisions for 45 days. After 15 days, 40 more men join the garrison. Find the number of days for which the remaining food will last? 25 days
15) A garrison of 900 men had provision for 42 days. However, a reinforcement of 500 men arrived. For how many days will the food last now ? 27 days
16) In a fort, 300 men had provision for 90 days. After 20 days, 50 mem left the fort. How long would the food last at the same rate? 84
17) A farmer has enough food to feed 28 animals in his cattle for 9 days. How long would the food last . If there were 8 more animals in his cattle ? 7 days
18) In a hostel, 75 students had food provisions for 24 days. If 15 students leave the hostel, for how many days would the food provision last ? 30 days
19) 7 taps of the same size fill a tank in 1 hour 36 minutes. How long will 8 taps of the same size take to fill the tank? 1 hr 24 mins
20) 8 tapes of the same size fill a tank in 27 minutes. If two taps go out of the order, how long would the remaining taps take to fill the tank? 36 mins
21) 6 pipes can fill a tank in 1 hour 24 minutes. How long will it take to fill the tank if 7 pipes of the same type are used? 1 hr 12 mins
EXERCISE - D
1) If 12 men can plough a field in 6 days, how many men will be required to plough the field in 4 days? 18
2) 12 men can complete a job in 15 days. How many men will be required to finish the work in 30 days ? 20
3) 8 people consume a stock of food in 30 days. How many people will consume the stock of food in 20 days. 12
4) If 12 men complete a job in 30 days, how many men will be needed to complete it in 40 days ? 9 men
5) If 14 workers can build a wall in 45 hours. How many workers will be required to do the same work in 35 hours ? 18
6) 12 men can dig a pond in 8 days. How many men can dig it in 6 days. 16
7) 10 people can dig a trench in 6 days. How many people can dig it in 4 days? 15
8) 6 cows can graze a field in 28 days. How long would 14 cows take to graze the same field. 12
9) 11 men can dig 27/4 metres long trench in one day. How many men should be employed for digging 27 m long trench of the same type in one day? 44men
Miscellaneous Exercise - 1
1) A car consumes 15L of petrol to cover 270km
a) How much petrol will it consume to cover 180 km ? 10L
b) If the cost of petrol is Rs42 per litre. What will be the expenditure on petrol when the car covers 336 km ? Rs840
2) A train is moving at a uniform speed of 75 kmph .
a) How far will it travel in 24 minutes ? 30km
b) In how much time will it cover 175 km ? 2 hrs 20mins
3) A verticle pole 5m 60 cm high casts shadow a 3m 20cm long . Find at the same time
a) the length of shadow csst by another pole 10m 50 cm high. 6m
b) the height of a pole which cssts a shadow 5 m long. 8m 75cm
4) If 20 copies of a book of R3700 then what will be the cost of 35 copies of the book? Also, find the number of copies of the book that can be bought for Rs2775. Rs6475, 15
5) six towels take 30 minutes to dry in the sun. How long do 2 towels take to dry in the same situation? 30
6) A car takes 5 hours to reach a destination by traveling at the speed of 60 kmph . How long will it take when the car travels at the speed of 75 kmph? 4 hrs
7) A factory requires 42 machines to produce a given number of articles in 56 days . How many machines would be required to produce the same number of articles in 48 days. 49
8) If 5 men or 7 women can earn Rs875 per day, how much would 10 men and 5 women earn per day. Rs2375
9) A loaded truck travels 16km in 25 minutes. At the same speed, how far can it travel in 5 hours. 192km
10) In a model of a ship, the mast is 9cm high, while the mast of the actual ship is 15m high. If the length of the ship is 35 m, how long is the model ship? 21cm
11) A car is traveling at the average speed of 50 kmph. How much distance would it travel in 1 hour 12 minutes ? 60km
12) Ravi walks at the uniform rate of 5 kmph . What distance would he cover in 2 hours 24 minutes ? 12km
13) If the thickness of a pile is 12 cardboards is 65mm, find the thickness of a pile of 312 such cardboards. 1m 69cm
14) Reena types 540 words during half an hour. How many words would she type in 8 minutes? 144 words
15) The scale of a map is 1:3 x10⁷. Two cities are 5cm apart on the map. Find the actual distance between them in kilometres . 1500 km
16) In 8 days, the earth picks up (6.4 x 10⁷) kg of dust from the atmosphere. How much dust will it pick up in 15 days? 1.2 x 10⁸ kg
17) A school has 9 periods a day each of 40 minutes duration. How long would each period be, if the school has 8 periods a day, assuming the number of school hours to be the same? 45 mins
18) if x and vary inversely and x= 15 when y=6, find y when x=9. 10
19) if x and vary inversely and x= 18 when y=8, find x when y=16. 9
CHOOSE THE CORRECT OPTION:
1) If 14 kg of pulses cost Rs882, what is the cost of 22 kgs of pulses ?
a)Rs 1254 b) Rs1298 c) Rs 1342 d) Rs1386
2) If 8 oranges cost Rs52, how many oranges can be bought for Rs 169
a) 13 b) 18 c) 26 d) 24
3) A machine fills 420 bottles in 3 hours. How many bottles will it fill in 5 hours .
a) 252 b) 700 c) 504 d) 300
4) A car is traveling at a uniform speed of 75 kmph . How much distance will it cover in 20 minutes.
a) 25km b) 15km c) 30km d) 20 km
5) The weight of 12 sheets of a thick paper is 40 grams. How many sheets would weigh 1 kg?
a) 480 b) 360 c) 300 d) none
6) A pole 14 m high casts shadow of 10m. At the same time, what will be the height of a tree, the length of whose shadow is 7m ?
a) 20m b) 9.8m c) 5m d) none
7) A photographer of a bacteria enlarged 50000 times attens a length of 5 cm. The actual length of bacteria is
a) 1000 CM b) 1/10³ cm c) 1/10⁴ cm d) 1/10² cm
8) 6 pipes fill a tank in 120 minutes , then 5 pipes will fill it in
a) 100 minutes b) 144 minutes c) 140mins d) 108 mins
9) 3 persons can build a wall in 4 days, then 4 persons can build it in
a) 16/3 days b) 3 days c) 13/3 days d) none
10) A car takes 2 hours to reach a destination by travelling at 60 kmph. How long will it take while travelling at 80 kmph ?
a) 1 hr 30min b) 1 hr 40min c) 2 hr 40min d) none
11) 6 pipes can fill a tank in 24 minutes. One pipe can fill it in.
a) 4 minutes b) 30 minutes c) 72 minutes d) 144 minutes
12) 14 workers can build a wall in 42 days. One worker can build it in
a) 3 days b) 147 days c) 294 days d) 588 days
13) 35 men can reap a field in 8 days. In how many days can 20 men reap it?
a) 14 days b) 28 days c) 175/2 days d) none
14) A car is traveling at an average speed of 60 kmph . How much distance will it cover in 1 hour 12 minutes ?
a) 50 km b) 72km c) 63 km d) 67.2 km
15) Rashmi types 510 words and half an hour. How many words would she type in 10 minutes.
a) 85 b) 150 c) 170 d) 153
16) x and y vary directly. when x =3 then y= 36 . What will be the value of x when y= 96. a) 18 b) 12 c) 8 d) 4
17) x and y vary inversely. When x= 15, then y= 6. What will be the value of y when x=9?
a) 10 b) 15 c) 54 d) 135
FILL IN THE BLANKS:
1) If 3 persons can do a piece of work in 4 days, then 4 persons can do it in ___ days.
2) if 5 pipes can fill a tank in 144 minutes, then 6 pipes can fill it in___ minutes.
3) a car covers a certain distance in one hour 30 minutes at 60 kmph. If it moves at 45 kmph , it will take____ hours.
4) if 8 oranges cost Rs20.80, the cost of 5 orange is Rs------
5) The weight of 12 sheets of a paper is 50 grams. How many sheets weigh 500 grams
) A car covers 432 km 36 litres of petrol, how much would it cover in 25 litres of petrol? 300 km
) If the weight of 12 sheets of thick paper is 54 GM's. How many sheets of the same paper would weight 5/2 kg. 555.5 GM's
) The cost of 5 metre particular quality of cloth is Rs200. Find the cost of 2, 4, 10 and 12 m of cloth .
) A vertical pole 5m 60 cm high casts shadow of 3 m 20 cm long. Find at the same
a) the length of the shadow cast by another pole 10 m 50 cm high.m. 600m
b) height of a pole that casts a shadow 5m long. 875m
) The scale of a map is given as 1: 30000000. Two cities are 4 cm apart on the map. Find the actual distance between them . 1200 km
) A private taxi charges of fare of Rs960 journey for a journey of 160 km. How much would it travel for Rs600. 100 km
) if 100 dollars can be had in exchange of Rs6600. How many dollars can one get in exchange for Rs3557.40. Rs53.90
) The diameter of a cell in a photograph enlarged 10000 times in 10 cm. What is the actual diameter of the cell ? If the photograph is enlarged 2000 times only, what would be the enlarged diameter of the cell ? 2 cm
) If 3 men or 4 women can earn Rs900 per day. How much would 6 men and 6 women earn per day. 3150
) A bus travels 15 km in 30 minutes. If the speed remains the same, how far will it travel in 6 hours. 180km
) A train is moving at a uniform speed of 75 kmph.
a) How far will it travel in 20 minutes. 25km
b) Find the time required to cover a distance of 250 km ? 3hrs 20mins
) A private taxi charges a fare of Rs1320 for a journey of 160 km. How much will it travel for Rs1031.25 ? 125km
) If 9 kg of sugar costs Rs166.50, how much sugar can be bought for Rs259? 14kg
) A machine in a soft factory fills 840 bottles in 6 hours. How many bottles will it fill in 5 hours ? 700 bottles
) A taxi charges fare of Rs1275 for a journey of 150 km. How much would it charge for a journey of 124 km ? Rs1054
) If the cost of 8 kg of potatoes is Rs88, find
a) the weight of the potatoes bought for Rs60.50. 5.5 kg
b) the cost of 17 kg of potatoes. Rs187
) Suppose 2kg of sugar contains 9x10⁶ crystals . How many sugar crystals are there in 5 kg of sugar? 2.25 x 10⁷
) If 2/3 piece of work iron has a mass of 6kg, then what would be the mass of 5/6 of the iron piece? 7.5 kg
) On a birthday, on an average, 5 bottles of coke are served for a group of 6 children. How many friends were present at Mishra's party if bottles of coke were used? 18
) The monthly earning and monthly savings of Bhupendra are in the ratio of 4:1. If Bhupendra's monthly income is Rs75000, how much is his savings ? Rs18750
) A loaded truck travels 14 km 25 minutes. If the speed remains the same, how far can it travel in 5 hours. 168km
) A tractor can plough 12 hectares in 4 hours. Moving at the same speed, how much time does it require to plough 13.5 hectares. 4hrs 30mins
) If 11 men can dig 27/4 metres long trench in one day. How many men would be employed for digging 27 metres long trench of the same type in one day? 44 men
) A car covers a distance of 175.5 km in 13 litres of petrol. How much distance will it cover in 20 litres of petrol ? 270km
) In 8 days, the earth picks up 6.4 x10⁹ kg of dust from the atmosphere. How much dust will it pick up in 15 days. 12 x 10⁹
)6 pipes are required to fill a tank in 1 hour 20 minutes. How long will it take if only 5 pipes of the same types are used ? 96 mins
) if 40 workers can do a job in 15 hours. How many workers will be required to do the same job in 8 hours? 75
) In a fort, 300 men had provisions for food for 90 days. After 20 days, 50 men left the fort. How long would the food last at the same rate? 84days
) A school has 9 periods in a day each of 40 minutes duration. How long would each person be, if the school has 6 periods a day, assuming that the number of hours to be the same. 60mins
) There are 90 students in a hostel. Food provision for them is for 20 days. How long will their food provision last if 30 more students join the group ? 15days
) Nishtha has enough money to send 12 parcels each weighing 500 gms. Find the weight of each parcel if she can send 30 parcels for the same money. 200gms
) If 45 men can do a piece of work in 49 days. In how many days will 35 men do it ? 63
) if 15 workers can build a wall in 48 hours , how many workers will be required to do the same work in 30 hours. 24
) A farmer has enough food to feed 20 animals in his cattle for 6 days. How long would the food last if there were 10 more animals in his cattle? 4
) A farmer has enough food to feed 28 horses for 9 days. How long would the food last, if there were 8 more horses. 7 days
) Amit cycles to his school at an average speed of 14 kmph . It takes him 30 minutes to reach the school in time. At what speed should he cycle, if he wants two minutes earlier. 15 kmph
) A garrison of 900 men had provision for 42 days, however a reinforcement of 500 men arrived . For how many days will the food last now? 27 days
) A train takes 3 hours to reach a destination by travelling at a speed of 90 kmph. How long will it take the train when it travels at the speed of 120 kmph. 9/4 hours
) A factory requires 42 machines to produce a given number of articles in 56 days. How many machines would be required to produce the same articles in 48 days. 49
) At constant temperature the pressure of a gas is inversely proportion to its volume. If certain amount of a gas occupies a volume of 30 cc and exerts a pressure of 85 g/cm², then find the difference in its pressure when the same amount of gas occupies a volume of 75 cc. 51 g/cm²
) A sprinter jogs and covers 5 rounds of the race track taking 12 minutes per round . Find the he should take to cover each round if he wants to complete 6 rounds, assuming the time for which he jogs remains the same. 10 mins
) If x and y axis are inversely proportional and x= 15 when y=6 then find y when x= 9. 10
) If x and y axis are inversely and x= 40, find y when constant of variation= 8. 1/5
Mix
) 15 men can dig 20 m long trench in one day. How many men should be employed for digging 140 metres long trench of the same type in one day ? Directly
) The shadow of the Qutub Minar, which is 72m high is 80m at a particular time on a day. Find the height of an electric pole that cast a shadow of 10m under similar condition. 9m
) If 721 men constructed bridge in 48 days then in how many days 1442 men can do this work? 24 days
) Ashish takes 20 minutes to reach his school at an average speed of 6 kmph. If he is required to reach school in 24 minutes, what should be his speed ? 5 kmph
) In a military camp there is food for 30 days for 50 soldiers. Assuming that average meal of every soldiers is same. If 25 more soldiers join them, how many days this food will last ? 20 days
) Mahesh goes 5 km with a speed of 10 kmph. If he double his speed, find the time to cover the same distance. 15 mins
) Amar weaves 35 seats of chairs in 7 days. How many days will he take to weave 146 seats of chairs? 28 days
) if a minute hand makes an angle 30° in 5 minutes. Find the angle covered between 7:10pm to 7:30 pm. 120°
) A train is running at a speed of 18 kmph . If it crosses a pole in 35 second. Find the length of the train. 175m
) A vegetablea vendor has Rs2000 to buy potatoes available at the rate of Rs8 per kg. If the price of potatoes increases by 25%, find how much potatoes he can purchase at the same amount. 200 kg
) If 14kg of pulses cost Rs441, what is the cost of 22kg of pulses? Rs693
) A car takes tp2 hours to reach a destination by travelling at 16 kmph . How long will it take while travelling at 80 kmph. 1 hour 30 minutes
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