2 Mark Question

Question 12 Marks

A car can cover 270km in 15 litres of petrol. How many kilometres will it cover in 8 litres of petrol?

Answer

Distance covered with 15L of petrol = 270km
Distance covered with 1L of petrol $=\frac{270}{15}\text{km}$
Distance covered with 8L of petrol $=\frac{270}{15}\times8\text{km}=144\text{km}$

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Question 22 Marks

A bus covers a certain distance in 3 hours 20 minutes at an average speed of 45km per hour. How much time will it take to cover the same distance at a speed of 50km per hour?

Answer

Time taken to cover the distance at a speed of 45 km/ h = 3h 20 min
Time taken to cover the distance at a speed of 1 km/ h = 45 × 3.33h [Less speed, more time taken]
(20 min = 0.33 hour)
$\therefore$ Time taken to cover the distance at a speed of 50 km/ h $\frac{45\times3.33}{50}\text{h}\approx3\text{h}$ [More speed, less time taken]

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Question 32 Marks

8 men can finish a piece of work in 15 hours. In how many hours can 20 men finish it?

Answer

Time taken to finish the work by 8 men = 15h
Time taken to finish the work by 1 man = 8 × 15h [Less men, more time taken]
$\therefore$ Time taken to finish the work by 20 men $=\frac{8\times15}{20}\text{h}=6\text{h}$ [More men, less time taken]

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Question 42 Marks

If 15 envelopes cost Rs 11.25, what is the cost of 20 such envelopes?

Answer

Cost of 15 envelopes = Rs 11.25
Cost of 1 envelope $=\text{Rs.}\frac{11.25}{15}$
$\therefore$ Cost of 20 envelopes $=\frac{11.25}{15}\times20=\text{Rs. 15}$

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Question 52 Marks

If $\frac{4}{5}$ of a cistern is filled in 1 minute, how much time will be required to fill the empty cistern?

Answer

Time taken to fill $\frac{4}{5}$ of the cistern = 1 min
Time taken to fill 1 cistern $=\frac{1}{\frac{4}{5}}=\frac{5}{4}=1.25$ min = 1 min 15 sec
Hence, it will take 1 min 15 sec to fill the empty cistern.

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Question 62 Marks

If 8kg sugar costs Rs. 260, how much sugar can be bought for Rs. 877.59?

Answer

In Rs. 260, the sugar is bought = 8kg
And in Rs. 1, the sugar is bought $=\frac{8}{260}\text{kg}$
Then in Rs. 877.50, the sugar will be bought $=\frac{8}{260}\times877.50\text{kg}$
$=\frac{8}{260}\times\frac{87750}{100}$
$= 27\text{kg}$

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Question 72 Marks

If 15 oranges cost Rs. 110, what do 39 oranges cost?

Answer

Cost of 15 oranges = Rs. 110
Cost of 1 orange $=\text{Rs.}\ \frac{110}{15}$
And cost of 39 oranges $=\text{Rs.}\ \frac{110}{15}\times39$
= Rs. 22 × 13 = Rs. 286

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Question 82 Marks

A worker is paid Rs. 1110 for 6 days. If his total wages during a month are Rs. 4625, for how many days did he work?

Answer

Rs. 1110 is wages for = 6 days
Rs. 1 will be wages for $=\frac{6}{1110}$ days
and Rs. 4625 will be wages for.
$\\=\frac{6}{1110}\times4625$
$=\frac{1\times6425}{185}=25$ days.

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Question 92 Marks

24 cows can graze a field in 20 days. How many cows can graze it in 15 days?

Answer

Number of cows that graze the field in 20 days = 24
Number of cows that graze the field in 1 day = 24 × 20 [Less days, more cows]
$\therefore$ Number of cows that graze the field in 15 days $\frac{24\times20}{15}=32\text{ cows}$ [More days, less cows]

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Question 102 Marks

In a fort, 120 men had provisions for 30 days. For how many days is the food sufficient for 100 men?

Answer

Number of days with enough food for 120 men = 30
Number of days with enough food for 1 man = 30 × 120 [Less men, more days]
$\therefore$ Number of days with enough food for 100 men $=\frac{30\times120}{100}=36$ [More men, less days]

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Question 112 Marks

The cost of 37m of silk is Rs. 6290. What length of this silk can be purchased for Rs. 4420?

Answer

In Rs. 6290, silk is purchased = 37m
And in Rs. 1, silk is purchased $=\frac{37}{6290}\text{m}$
And in Rs. 4420, silk will be purchased 37
$=\frac{37}{6290}\times4420\text{m}=26\text{m}$

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Question 122 Marks

If the cost of 8 toys is Rs 192, what will be the cost of 14 such toys?

Answer

Cost of 8 toys = Rs 192
Cost of 1 toy $=\text{Rs. }\frac{192}{8}=\text{Rs.}24$
$\therefore$ Cost of 14 toys = 24 × 14 = Rs. 336

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Question 132 Marks

Travelling 900km by rail costs Rs. 2520. What would be the fare for a journey of 360km when a person travels by the same class?

Answer

Cost of travelling 900km is = Rs. 2520
And cost of 1km will be $=\text{Rs. }\frac{2520}{900}$
Andcost of 360km will be $=\text{Rs. }\frac{2520}{900}\times360$
$=\text{Rs. }1008$

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Question 142 Marks

A car can cover a distance of 357km on 42 litres of petrol. How far can it travel on 12 litres of petrol?

Answer

In 42 litres of petrol, a car covers = 357km
And in 1 litre, car will cover $=\frac{357}{42}\text{km}$
And in 12 litres, car will cover $=\frac{357}{42}\times12=102\text{km}$

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Maths 2 Mark Question

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