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Question 32 Marks
A vehicle covers a distance of $43.2\ km$ in $2.4$ litres of petrol. How much distance will it travel in $1$ litre of petrol?
Answer
Distance covered in $2.4$ litres of petrol $= 43.2\ km$
Distance covered in $1$ litre of petrol $=\frac{43.2}{2.4}$ $=18\text{km}$
The distance travelled in $1$ litre of petrol is $18\ km$.
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Question 42 Marks
By how much should $34.79$ be increased to get $70.15$?
Answer
$34.79 + x = 70.15$ $x = 70.15 - 34.79$ $x = 35.36$
Therefore $35.36$ is increased to $70.15$
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Question 52 Marks
Divide: $88$ by $0.08$
Answer
$\frac{88}{0.08}$
$=\frac{88\times100}{0.08\times100}$
$=\frac{8800}{8}$
$=1100$
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Question 62 Marks
Convert the following into fractions in the lowest from: $17.38$
Answer
$17.38$
$=\frac{17.38}{1}$
$=\frac{17.38\times100}{1\times100}$
$=\frac{1738}{100}$
$=\frac{869}{50}$
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Question 72 Marks
The total weight of some bags of wheat is $1743kg.$ If each bag weights 49.8kg, how many bags are there?
Answer
Total weight of bags of wheat $= 1743\ kg$
Each bag weight $= 49.8\ kg$ No of bags $=\frac{1743}{49.8}$
$=\frac{1743\times10}{49.8\times10}$
$=\frac{17430}{498}$
$=35$
​​​​​​​Therefore the total numbers of bags are $35$
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Question 82 Marks
By how much should $59.71$ be decreased to get $34.58$?
Answer
$59.71 - x = 34.58$ $59.71 - 34.58 = x x = 25.13$
 Therefore $25.13$ is decreased to get $34.58$
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Question 92 Marks
One kg of rice costs $₹ 42.65$. What will be the cost of $18.25kg$ of rice?
Answer
Cost of one kg rice $= 42.65$ Cost of $18.25\ kg = 42.65 \times 18.25 = ₹ 778.3625$
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Question 102 Marks
How many buckets of equal capacity can be filled from $586.5$ litres of water, if each bucket has capacity of $8.5$ litres?
Answer
Capacity of each bucket $= 805$ litres
Total water available $= 586.5$ litres
Number of buckets $=\frac{805}{586.5}$
$=\frac{805\times10}{586.5\times10}$
$=69$
Total number of buckets is $69$
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Question 112 Marks
Divide:
$148$ by $0.074$
Answer
$\frac{148}{0.074}$
$=\frac{148\times1000}{0.074\times1000}$
$=\frac{148000}{74}$
$=2000$
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Question 122 Marks
The weight of $34$ bags of sugar is $3483.3kg$. If all bags weight equally, find the weight of each bag.
Answer
Total weight of sugar $= 3483.3kg$ No of bags $= 34$
 Weight of each bag $=\frac{3483.3}{34}$
$=102.45\text{kg}$
Therefore, weight of each bag is $102.45kg.$
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Question 132 Marks
Convert the following into fractions in the lowest from: $0.04$
Answer
$0.04$
$=\frac{0.04}{1}$
$=\frac{0.04\times100}{1\times100}$
$=\frac{4}{100}$
$=\frac{1}{25}$
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Question 142 Marks
What is to be subtracted from $17.1$ to get $2.051$?
Answer
$17.1 - x = 2.051$ $17.1 = x + 2.051$ $x = 17.1 - 2.051 x = 15.049$
Therefore $15.049$ is subtracted from $17.1$ to get $15.049$
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Question 152 Marks
The weight of $34$ bags of sugar is $3483.3kg$. If all bags weigh equally, find the weight of each bag.
Answer
We have, The product of the given decimals $= 42.987$
One decimal $= 12.46$
The other decimal $=\frac{42.987}{12.46}$
$=3.45$
The number is $3.45$
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Question 162 Marks
Convert the following into fractions in the lowest from:
$0.342$
Answer
$0.342$
$=\frac{0.342}{2}$
$=\frac{0.342\times1000}{1\times1000}$
$=\frac{342}{1000}$
$=\frac{171}{500}$
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Question 172 Marks
What is to be added to $36.85$ to get $59.41$?
Answer
$x + 36.85 = 59.41$ $x = 59.41 - 36.85$ $x = 22.56$
Therefore $22.56$ is added to $36.85$ to get $59.41$
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Question 182 Marks
A car covers adistance of $14.75km$ in one litre of petrol. How much distance will it cover in $15.5$ litres of petrol?
Answer
We have, Distance in one litre of petrol $= 14.75\ km$ Distance covered in $15.5$ litres of petrol $= 14.75 \times 15.5 = 228.625\ km$
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Question 192 Marks
If the cost of a book is $₹ 25.75$, find the cost of $24$ such books.
Answer
Cost of one book $= ₹ 25.75$ Therefore cost of $24$ books $= 25.75 \times 24 = ₹ 618.00$
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Question 202 Marks
Divide: $76$ by $0.019$
Answer
$\frac{76}{0.019}$
$=\frac{76\times1000}{0.019\times1000}$
$=\frac{76000}{19}$
$=4000$
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Question 212 Marks
Divide: $8$ by $100$
Answer
$\frac{8}{100}$ By shifting the decimal point to the left, $=\frac{8}{100}$ $=0.08$
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Question 222 Marks
Find the area of a rectang whose length is $5.5m$ and breadth is $3.4m$.
Answer
$\text { We have, }$
$\text { Length of rectangle }=5.5 \mathrm{~m}$
$\text { Breadth of rectangle }=3.4 \mathrm{~m}$
$\text { Area of rectangle = Length } \times \text { Breadth }$
$=55 \times 3.4$
$=18.7 \mathrm{~m}^2$
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Question 232 Marks
Convert the following into fractions in the lowest from:
$2.34$
Answer
$2.34$
$=\frac{2.34}{1}$
$=\frac{2.34\times100}{1\times100}$
$=\frac{234}{100}$
$=\frac{117}{50}$
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Question 242 Marks
A vehicle covers a distance of 43.2 km in 2.4 litres of petrol. How much distance will it travel in 1 litre of petrol?
Answer
18 km
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Question 362 Marks
How many buckets of equal capacity can be filled from 586.5 litres of water, if each bucket has capacity of 8.5 litres?
Answer
69
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Question 372 Marks
The weight of 34 bags of sugar is 3483.3 kg . If all bags weigh equally, find the weight of each bag.
Answer
102.45 kg
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Question 392 Marks
Each side of a rectangular polygon is 2.5 cm in length. The perimeter of the polygon is 12.5 cm . How many sides does the polygon have?
Answer
5
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Question 412 Marks
The total weight of some bags of wheat is 1743 kg . If each bag weights 49.8 kg , how many bags are there?
Answer
35
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Question 432 Marks
A car covers a distance of 14.75 km in one litre of petrol. How much distance will it cover in 15.5 litres of petrol?
Answer
228.625 km
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