To write 46 hundredths as a decimal, we use a place value chart.
The answer is 0.46.
Conversion Formula: 1 Mark
Steps: 2 Marks
Answer: 1 Mark
Given that
Distance covered by car A in 4 liters of petrol is 5.5 km.
Now 1 km=1000 m.
5.5 km=5500 m
Distance covered by car A in 1 litre of petrol = (5500/4) = 1375 metres
Distance covered by car B in 1 liter of petrol = 1800 meters
So car B travels more compared to car A
Difference = 1800-1375 = 425 metres
Car B travels 425 meters more than car A
Time taken by Karan to solve a question= 15 seconds
As per the question,
Time taken by Karan's friend to solve the question
= (1/4) of the time taken by Karan to solve the question
=(15)(1/4) = 3.75 seconds
Hence, Karan's friend will take 3.75 seconds to solve the question.
Formula: 1 Mark
Result: 1 Mark
We know that area of the rectangle = 50m2
Given that the length of the rectangle
= 47metres
Now, Length × breadth= Area of the rectangle
Let the breadth be 'b' meters
47×b = 50
b = 1752 metres
Hence, the breadth of the rectangle is 1752 metres.
Concept: 1 Mark
Application: 1 Mark
Given that
Total number of apples = 35
The number of apples each student gets = (35/7) = 5 apples
Total number of bananas = 28
The number of bananas each student gets =(28/7) = 4 bananas
Total number of fruits a student gets = 5 apples + 4 bananas = 9
Hence, each student will get 5 apples and 4 bananas.
Steps: 1 Mark
Answer: 1 Mark
Let the total work be W
The work completed by Ramesh = 110×W
The work completed by Ramesh's friend = 110×110000W
= 1100000×W
Ramesh's friend completes 1100000th of the work in the given time,
A man completes a work in 1 hour in his first attempt and in his second attempt he completes it in (1/4) of 1 hour. In his third attempt, he completes it in (4/5)th time of what he took in his second attempt. How long did he take to complete the work in his third attempt? What is the difference in the time taken by him in the first and third attempt? [3 MARKS]
Steps: [1 Marks]
Each answer: [1 Mark]
Time taken by the man in his first attempt = 1 hour
Time taken by the man in his second attempt = 14×1
= 14 hour
Time taken by the man in his third attempt = 14×45
= 15
Hence he took 15 hours to complete the work on his third attempt.
The difference in the time taken by him in his first attempt and third attempt
=1−15=45 hours
In a match of 50 overs, the team batting second was given a target of 310.They lost the match by 10 runs. The team batting second, i.e. the team which lost, scored one-half of their runs in 30 overs and in next five overs they scored one-half of the remaining runs. Later in the next 8 overs, they scored 15th of the remaining runs. In last seven overs, they scored the remaining runs. How many runs did they score in the last seven overs?
[3 MARKS]
Steps: [2 Marks]
Result: [1 Mark]
Total runs scored by the team that lost = 310 - 10 = 300
Now, total no. of overs played by them = 50
i.e. in 30 overs, this team scored =3002
=150 runs
The balance 300 - 150 = 150 runs were scored by this team in balance 20 overs.
By the given condition
In the next 5 overs 12 of 150 runs
= 75 runs were scored.
⇒ 150 runs - 75 runs = 75 runs are still in balance.
Again in the next 8 overs.
15 of 75 = 15 runs were scored.
Now No. of overs left = 20 - (5 + 8)
=20 - 13
=7 overs
In seven overs, runs scored will be 75 - 15 = 60 runs
