2 Mark Question

Question 12 Marks

If 6 oil tankers can be filled by a pipe in $4\frac{1}{2}\text{ hours}$, how long does the pipe take to fill 4 such oil tankers?

Answer

Time taken by 6 oil tankers to be filled by a pipe = $4\frac{1}{2}\text{ hours}=\frac{9}{2}\text{ hours}$
Time taken by 1 oil tankers to be filled by a pipe = $\frac{\frac{9}{2}}{6}\text{ hours}$
Hence, the time taken by 4 oil tankers to be filled by a pipe $\frac{9}{12}\times4\ \text{hours}= 3\ \text{hours}$

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Question 22 Marks

If the sales tax on a purchase wirth Rs. 60 is Rs. 4.20. What will be the sales tax on the purchase worth of Rs. 150?

Answer

Sales tax on the purchase worth of Rs. 60 = Rs. 4.20
Sales tax on the purchase worth of Rs. 1 $=\text{Rs.}\frac{4.20}{60}$
Sales tax on the purchase worth of Rs. 150 $=\text{Rs.}\frac{4.20}{60}\times150=\text{Rs. }10.50$

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Question 32 Marks

The yield of wheat from 6 hectares is 280 quintals. Find the number of hectares required for a yield of 225 quIntals.

Answer

Number of hectares required for a yield of 280 quintals = 6 hectares
Number of hectares required for a yield of 1 quintals $=\frac{6}{280}\text{ hectares}$
Hence, The number of hectares required for a yield of 225 quintals $=\frac{6}{280}\times225\text{ hectares}=4\Big(\frac{23}{28}\Big)\text{ hectares}$

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Question 42 Marks

A rail journey of 75km costs Rs. 215. How much will a journey of 120km cost?

Answer

Cost of a rail journey of 75km = Rs. 215Cost of a rail journey of 1km $=\text{Rs.}\frac{215}{75}$
Cost of a rail journey of 120km $=\text{Rs.}\frac{215}{75}\times120=\text{Rs. }344$

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Question 52 Marks

A car can cover a distance of 522km on 36 litres of petrol. How far can it travel on 14 litres of petrol?

Answer

Number of kilometers a car can cover by using 36 liters = 522km
Number of kilometers a car can cover by using 1 liter $=\frac{522}{36}\text{km}$
Hence, the number of kilometers a car can cover by using 14 liters $=\Big(\frac{522}{36}\times14\Big)=203\text{km}$

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Question 62 Marks

The cost of 40 metres of cloth is Rs. 200. Find the cost of 50 metres of cloth.

Answer

Cost of 40 meters of cloth = Rs. 320
Cost of 1 meters of cloth $=\text{Rs.}\frac{200}{40} $
Therefore, the cost of 50 cloth $=\text{Rs.}\Big(\frac{200}{40}\times50\Big)=\text{Rs.}\ 250 $

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Question 72 Marks

Travelling 900km by rail costs Rs. 280. What would be the fare for a journey of 360km when a person travels by the same class?

Answer

Cost of travelling 900km by rail = Rs. 280
Cost of travelling 1km by rail $=\text{Rs.}\Big(\frac{280}{900}\Big)$
Hence, Cost of travelling 360km by rail $=\text{Rs.}\Big(\frac{280}{900}\times360\Big)=\text{Rs.}\ 112$

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Question 82 Marks

20 chocolates cost Rs. 320. Find the cost of 35 such chocolates.

Answer

Cost of 20 chocolates = Rs. 320
Cost of 1 chocolate $=\text{Rs.}\frac{320}{20} $
Therefore, the cost of 35 chocolates $=\text{Rs.}\Big(\frac{320}{20}\times35\Big)=\text{Rs.}\ 560 $

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Question 92 Marks

The cost of 32 tables is Rs. 23520. Find the number of such tables that can be purchased for Rs. 51450.

Answer

Number of tables bought for Rs. 23520 = 32
Number of tables bought for Rs. 1 $=\frac{32}{23520}$
Number of tables bought for Rs. 51450 $=\Big(\frac{32}{23520}\Big)\times51450=70$

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Question 102 Marks

$\frac{3}{4}$ of the salary per month is Rs. 600. What is the salary per month?

Answer

Let the salary be 'x'.
Given,
$\frac{3}{4}$ of the salary per month is Rs. 600
$\Rightarrow\frac{3}{4}\times\text{x}=\text{Rs. }600$
$\Rightarrow\text{x}=\text{Rs. }600\times\frac{4}{3}$
$\Rightarrow\text{x}=\text{Rs. }800$
Therefore, the salary per month is Rs. 800.

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Maths 2 Mark Question

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