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All questions of Comparing Quantities for Class 7 Exam
In a computer lab, there are 3 computers for every 6 students. How many computers will be needed for 24 students?
- a)6
- b)8
- c)10
- d)12
Correct answer is option 'D'. Can you explain this answer?
In a computer lab, there are 3 computers for every 6 students. How many computers will be needed for 24 students?
a)
6
b)
8
c)
10
d)
12
|
Kavya Rane answered |
computers needed are half of number of students
24/2 = 12
24/2 = 12
If Chameli had Rs 600 left after spending 75% of her money, how much did she have in the beginning?- a)Rs 3000
- b)Rs 2400
- c)Rs 1800
- d)Rs 1200
Correct answer is option 'B'. Can you explain this answer?
If Chameli had Rs 600 left after spending 75% of her money, how much did she have in the beginning?
a)
Rs 3000
b)
Rs 2400
c)
Rs 1800
d)
Rs 1200
|
Geetika Shah answered |
After spending 75% of money , chameli has Rs. 600.
So 600=25% of the money
25% of x=600
25/100*x=600
x=600*4=Rs. 2400
So 600=25% of the money
25% of x=600
25/100*x=600
x=600*4=Rs. 2400
A school team won 6 games this year against 4 games won last year. What is the percent increase?- a)10%
- b)25%
- c)75%
- d)50%
Correct answer is option 'D'. Can you explain this answer?
A school team won 6 games this year against 4 games won last year. What is the percent increase?
a)
10%
b)
25%
c)
75%
d)
50%
|
|
Pooja desai answered |
Calculation of Percentage Increase
To calculate the percentage increase, we need to find the difference between the two quantities and then divide the difference by the original value. Finally, we need to multiply the result by 100 to get the percentage increase.
In this case, the difference between the number of games won this year and last year is:
6 - 4 = 2
The original value is the number of games won last year, which is 4.
So, the percentage increase is:
((6 - 4) / 4) x 100 = 50%
Therefore, the correct answer is option 'D', which is 50%.
To calculate the percentage increase, we need to find the difference between the two quantities and then divide the difference by the original value. Finally, we need to multiply the result by 100 to get the percentage increase.
In this case, the difference between the number of games won this year and last year is:
6 - 4 = 2
The original value is the number of games won last year, which is 4.
So, the percentage increase is:
((6 - 4) / 4) x 100 = 50%
Therefore, the correct answer is option 'D', which is 50%.
There are 120 voters, 90 of them voted yes. What percent voted yes?
- a)50%
- b)75%
- c)10%
- d)25%
Correct answer is option 'B'. Can you explain this answer?
There are 120 voters, 90 of them voted yes. What percent voted yes?
a)
50%
b)
75%
c)
10%
d)
25%
|
Akshara Das answered |
90/120 x 100 %
3/4 x 100 %
75 %
3/4 x 100 %
75 %
8% children of a class of 25 like getting wet in the rain. How many children do not like getting wet in the rain.- a)23
- b)18
- c)21
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
8% children of a class of 25 like getting wet in the rain. How many children do not like getting wet in the rain.
a)
23
b)
18
c)
21
d)
None of these
|
Ananya Choudhary answered |
8% of 25 is 8x25/100= 2
no. of students who like getting wet in rain=2
so,
no. of students who do not like getting wet in rain= 25-2=23
The price of a scooter was Rs 34,000 last year. It has increased by 20% this year. What is the price now?- a)Rs 40800
- b)Rs 28200
- c)Rs 30000
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
The price of a scooter was Rs 34,000 last year. It has increased by 20% this year. What is the price now?
a)
Rs 40800
b)
Rs 28200
c)
Rs 30000
d)
None of these
|
|
Geetika Shah answered |
Price of the scooter last year=34000
Increase=20%
Amount of increase=20% of 34000=20/100*34000=6800
New price=34000+6800=Rs. 40800
Increase=20%
Amount of increase=20% of 34000=20/100*34000=6800
New price=34000+6800=Rs. 40800
A shop has 500 parts, out of which 5 are defective. What percent are not defective?- a)60%
- b)90%
- c)99%
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
A shop has 500 parts, out of which 5 are defective. What percent are not defective?
a)
60%
b)
90%
c)
99%
d)
None of these
|
Namita joshi answered |
�fective = 5/500 x 100 = 1%
so %not defective = 100 - 1 =99%
Out of 15,000 voters in a constituency, 60% voted. Find the number of voters who did not vote.- a)6000
- b)10000
- c)8000
- d)12000
Correct answer is option 'A'. Can you explain this answer?
Out of 15,000 voters in a constituency, 60% voted. Find the number of voters who did not vote.
a)
6000
b)
10000
c)
8000
d)
12000
|
Akshay Gupta answered |
Given information:
- Total number of voters in a constituency = 15,000
- Percentage of voters who voted = 60%
To find:
- Number of voters who did not vote
Solution:
1. Calculate the number of voters who voted:
- Percentage of voters who voted = 60%
- Convert percentage to decimal = 0.6
- Number of voters who voted = 0.6 x 15,000 = 9,000
2. Calculate the number of voters who did not vote:
- Total number of voters in the constituency = 15,000
- Number of voters who voted = 9,000
- Number of voters who did not vote = Total number of voters - Number of voters who voted
- Number of voters who did not vote = 15,000 - 9,000 = 6,000
Answer:
The number of voters who did not vote is 6,000. Therefore, the correct option is A.
- Total number of voters in a constituency = 15,000
- Percentage of voters who voted = 60%
To find:
- Number of voters who did not vote
Solution:
1. Calculate the number of voters who voted:
- Percentage of voters who voted = 60%
- Convert percentage to decimal = 0.6
- Number of voters who voted = 0.6 x 15,000 = 9,000
2. Calculate the number of voters who did not vote:
- Total number of voters in the constituency = 15,000
- Number of voters who voted = 9,000
- Number of voters who did not vote = Total number of voters - Number of voters who voted
- Number of voters who did not vote = 15,000 - 9,000 = 6,000
Answer:
The number of voters who did not vote is 6,000. Therefore, the correct option is A.
Out of 32 students, 8 are absent. What percent of the students are present?- a)50 %
- b)10%
- c)25%
- d)75%
Correct answer is option 'D'. Can you explain this answer?
Out of 32 students, 8 are absent. What percent of the students are present?
a)
50 %
b)
10%
c)
25%
d)
75%
|
Priyanka Sharma answered |
No. of students that are present
=32-8=24
Percentage of absent students =24/32*100=75%
=32-8=24
Percentage of absent students =24/32*100=75%
Meeta saves Rs 400 from her salary. If this is 10% of her salary. What is her salary?- a)Rs 6000
- b)Rs 2000
- c)Rs 4000
- d)Rs 8000
Correct answer is option 'C'. Can you explain this answer?
Meeta saves Rs 400 from her salary. If this is 10% of her salary. What is her salary?
a)
Rs 6000
b)
Rs 2000
c)
Rs 4000
d)
Rs 8000
|
Anita Menon answered |
400 is the 10% of the salary
10% of x = 400
10/100*x = 400
x=400*10 = Rs. 4000
10% of x = 400
10/100*x = 400
x=400*10 = Rs. 4000
There are 25 radios, 16 of them are out of order. What percent of radios are out of order?- a)64%
- b)75%
- c)50%
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
There are 25 radios, 16 of them are out of order. What percent of radios are out of order?
a)
64%
b)
75%
c)
50%
d)
None of these
|
|
Anita Menon answered |
No. of radios out of order=16
Percentage of radios out of order=16/25*100=64%
Percentage of radios out of order=16/25*100=64%
Rahul bought a sweater and saved Rs 20 when a discount of 25% was given. What was the price of the sweater before the discount?- a)Rs 80
- b)Rs 40
- c)Rs 60
- d)Rs 100
Correct answer is option 'A'. Can you explain this answer?
Rahul bought a sweater and saved Rs 20 when a discount of 25% was given. What was the price of the sweater before the discount?
a)
Rs 80
b)
Rs 40
c)
Rs 60
d)
Rs 100
|
Mrinalini Rane answered |
Price of sweater before discount = xAmt. Rahul saved = Rs20 % of discount =
If 40% of a number is 80, what is 25% of the same number?- a)40
- b)50
- c)60
- d)70
Correct answer is option 'B'. Can you explain this answer?
If 40% of a number is 80, what is 25% of the same number?
a)
40
b)
50
c)
60
d)
70
|
Shilpa Kulkarni answered |
Understanding the Problem
To find 25% of a number when we know that 40% of that number equals 80, we first need to determine the original number.
Finding the Original Number
- We know that 40% of a number (let's call it X) is 80.
- This can be expressed as:
0.40 * X = 80
- To find X, we divide both sides by 0.40:
X = 80 / 0.40
- Performing the calculation:
X = 200
Calculating 25% of the Number
- Now that we have found the original number (200), we can calculate 25% of it.
- To find 25% of X:
0.25 * X = 0.25 * 200
- Performing the calculation:
0.25 * 200 = 50
Conclusion
- Therefore, 25% of the number is 50.
- The correct answer is option 'B'.
To find 25% of a number when we know that 40% of that number equals 80, we first need to determine the original number.
Finding the Original Number
- We know that 40% of a number (let's call it X) is 80.
- This can be expressed as:
0.40 * X = 80
- To find X, we divide both sides by 0.40:
X = 80 / 0.40
- Performing the calculation:
X = 200
Calculating 25% of the Number
- Now that we have found the original number (200), we can calculate 25% of it.
- To find 25% of X:
0.25 * X = 0.25 * 200
- Performing the calculation:
0.25 * 200 = 50
Conclusion
- Therefore, 25% of the number is 50.
- The correct answer is option 'B'.
Mohit bought a CD for Rs. 750 and sold it Rs. 875. Find his gain or loss percent.- a)Gain of 20%
- b)Gain of 30%
- c)Gain of 25%
- d)Gain of (50/3)%
Correct answer is option 'D'. Can you explain this answer?
Mohit bought a CD for Rs. 750 and sold it Rs. 875. Find his gain or loss percent.
a)
Gain of 20%
b)
Gain of 30%
c)
Gain of 25%
d)
Gain of (50/3)%
|
|
Dharini shah answered |
Calculation of Gain or Loss Percent
To calculate the gain or loss percent, the formula used is:
Gain or Loss percent = (Profit or Loss / Cost price) x 100
Given, Mohit bought a CD for Rs. 750 and sold it for Rs. 875.
Profit earned by Mohit = Selling price - Cost price
Profit earned by Mohit = Rs. 875 - Rs. 750 = Rs. 125
Now, substituting the values in the formula, we get:
Gain percent = (Profit / Cost price) x 100
Gain percent = (125 / 750) x 100
Gain percent = 16.67%
Therefore, the gain percent earned by Mohit is 16.67%. However, this answer is not given in the options.
Finding the Correct Option
To find the correct option, we need to convert the gain percent to a fraction and simplify it.
Gain percent = 16.67%
Gain fraction = 16.67 / 100
Gain fraction = 1 / 6
Now, we need to simplify the fraction to see if it matches any of the options.
1 / 6 = 50 / 300 = 50 / 3 x 100 / 100
Therefore, the gain percent can be written as 50/3%.
Hence, the correct option is (D) Gain of (50/3)%.
To calculate the gain or loss percent, the formula used is:
Gain or Loss percent = (Profit or Loss / Cost price) x 100
Given, Mohit bought a CD for Rs. 750 and sold it for Rs. 875.
Profit earned by Mohit = Selling price - Cost price
Profit earned by Mohit = Rs. 875 - Rs. 750 = Rs. 125
Now, substituting the values in the formula, we get:
Gain percent = (Profit / Cost price) x 100
Gain percent = (125 / 750) x 100
Gain percent = 16.67%
Therefore, the gain percent earned by Mohit is 16.67%. However, this answer is not given in the options.
Finding the Correct Option
To find the correct option, we need to convert the gain percent to a fraction and simplify it.
Gain percent = 16.67%
Gain fraction = 16.67 / 100
Gain fraction = 1 / 6
Now, we need to simplify the fraction to see if it matches any of the options.
1 / 6 = 50 / 300 = 50 / 3 x 100 / 100
Therefore, the gain percent can be written as 50/3%.
Hence, the correct option is (D) Gain of (50/3)%.
A survey of 40 children showed that 25% liked playing football. How many children not liked playing football?- a)10
- b)30
- c)5
- d)20
Correct answer is option 'B'. Can you explain this answer?
A survey of 40 children showed that 25% liked playing football. How many children not liked playing football?
a)
10
b)
30
c)
5
d)
20
|
Prisha Mehta answered |
Correct Option is (a) Here, the total number of children are 40. Out of these, 25% like playing football. Meena and
If the simple interest on a sum of money for 2 years at 5% per annum is ₹200, what is the principal amount?- a)₹1000
- b)₹2000
- c)₹4000
- d)₹5000
Correct answer is option 'B'. Can you explain this answer?
If the simple interest on a sum of money for 2 years at 5% per annum is ₹200, what is the principal amount?
a)
₹1000
b)
₹2000
c)
₹4000
d)
₹5000
|
|
Kunal Chakraborty answered |
Understanding Simple Interest
Simple interest is calculated using the formula:
Simple Interest = Principal × Rate × Time
Where:
- Principal is the initial amount of money.
- Rate is the annual interest rate (in decimal).
- Time is the time period in years.
Given Data
- Simple Interest (SI) = 200
- Rate (R) = 5% per annum = 0.05
- Time (T) = 2 years
Finding the Principal Amount
We need to rearrange the formula to find the Principal (P):
P = SI / (R × T)
Now, substitute the known values:
- SI = 200
- R = 0.05
- T = 2
Calculation Steps
1. Calculate R × T:
- R × T = 0.05 × 2 = 0.1
2. Substitute into the Principal formula:
- P = 200 / 0.1
3. Calculate P:
- P = 2000
Conclusion
The principal amount is 2000. Therefore, the correct answer is option 'B'.
This calculation shows how simple interest can help determine the initial amount of money based on the interest earned over a specified time period and rate.
Simple interest is calculated using the formula:
Simple Interest = Principal × Rate × Time
Where:
- Principal is the initial amount of money.
- Rate is the annual interest rate (in decimal).
- Time is the time period in years.
Given Data
- Simple Interest (SI) = 200
- Rate (R) = 5% per annum = 0.05
- Time (T) = 2 years
Finding the Principal Amount
We need to rearrange the formula to find the Principal (P):
P = SI / (R × T)
Now, substitute the known values:
- SI = 200
- R = 0.05
- T = 2
Calculation Steps
1. Calculate R × T:
- R × T = 0.05 × 2 = 0.1
2. Substitute into the Principal formula:
- P = 200 / 0.1
3. Calculate P:
- P = 2000
Conclusion
The principal amount is 2000. Therefore, the correct answer is option 'B'.
This calculation shows how simple interest can help determine the initial amount of money based on the interest earned over a specified time period and rate.
A person borrowed ₹10,000 at an annual simple interest rate of 8% for 3 years. What is the total amount to be repaid after 3 years?- a)₹12,400
- b)₹12,600
- c)₹12,800
- d)₹13,000
Correct answer is option 'A'. Can you explain this answer?
A person borrowed ₹10,000 at an annual simple interest rate of 8% for 3 years. What is the total amount to be repaid after 3 years?
a)
₹12,400
b)
₹12,600
c)
₹12,800
d)
₹13,000
|
Rainbow Rise Classes answered |
Principal (P) = ₹10,000, Rate (R) = 8%, Time (T) = 3 years
Simple Interest (SI) =
Total Amount = Principal + Interest = ₹10,000 + ₹2,400 = ₹12,400
Simple Interest (SI) =
Total Amount = Principal + Interest = ₹10,000 + ₹2,400 = ₹12,400
1/4 as per cent is- a)20%
- b)25%
- c)30%
- d)
Correct answer is option 'B'. Can you explain this answer?
1/4 as per cent is
a)
20%
b)
25%
c)
30%
d)
|
Madhavi sharma answered |
Understanding the Problem
To find what percentage 1/4 is, we need to understand the relationship between fractions and percentages.
Conversion from Fraction to Percentage
- To convert a fraction to a percentage, multiply it by 100.
- In this case, we have the fraction 1/4.
Calculation Steps
- First, take the fraction: 1/4.
- Multiply it by 100:
(1/4) * 100
- This simplifies to:
100/4
- Dividing 100 by 4 gives us:
25
Conclusion
- Therefore, 1/4 expressed as a percentage is 25%.
Answer Confirmation
- Looking at the options provided:
- a) 20%
- b) 25%
- c) 30%
- d) 12(1/2)%
- The correct answer is indeed option 'B', which is 25%.
This demonstrates that converting fractions to percentages is straightforward by multiplying by 100, leading us to the conclusion that 1/4 is equivalent to 25%.
To find what percentage 1/4 is, we need to understand the relationship between fractions and percentages.
Conversion from Fraction to Percentage
- To convert a fraction to a percentage, multiply it by 100.
- In this case, we have the fraction 1/4.
Calculation Steps
- First, take the fraction: 1/4.
- Multiply it by 100:
(1/4) * 100
- This simplifies to:
100/4
- Dividing 100 by 4 gives us:
25
Conclusion
- Therefore, 1/4 expressed as a percentage is 25%.
Answer Confirmation
- Looking at the options provided:
- a) 20%
- b) 25%
- c) 30%
- d) 12(1/2)%
- The correct answer is indeed option 'B', which is 25%.
This demonstrates that converting fractions to percentages is straightforward by multiplying by 100, leading us to the conclusion that 1/4 is equivalent to 25%.
If a number is increased by 25% and then decreased by 20%, what is the net percentage change?- a)0%
- b)2%
- c)4%
- d)5%
Correct answer is option 'A'. Can you explain this answer?
If a number is increased by 25% and then decreased by 20%, what is the net percentage change?
a)
0%
b)
2%
c)
4%
d)
5%
|
|
Rainbow Rise Classes answered |
Let the original number be 100.
After a 25% increase: 100 + 25 = 125
After a 20% decrease: 125 - 20% of 125 = 125 - 25 = 100
Net change = 100 - 100 = 0%
0.1 as per cent is- a)1%
- b)10%
- c)100%
- d)0.1%
Correct answer is option 'B'. Can you explain this answer?
0.1 as per cent is
a)
1%
b)
10%
c)
100%
d)
0.1%
|
|
Simi Gupta answered |
Understanding Percentages
To convert a decimal into a percentage, you multiply the decimal by 100. A percentage represents a part out of 100.
Step-by-Step Conversion
- Start with the decimal: 0.1.
- Multiply by 100:
0.1 x 100 = 10.
Result Interpretation
- The result, 10, indicates that 0.1 is equivalent to 10 percent.
Answer Choices Explained
- a) 1%: This is incorrect as it is much less than 10%.
- b) 10%: This is the correct answer since we calculated that 0.1 equals 10% when multiplied by 100.
- c) 100%: This is incorrect because it suggests a whole, not a fraction.
- d) 0.1%: This is also incorrect as it is significantly less than 10%.
Conclusion
Thus, the correct answer is option 'b) 10%'. This conversion is essential in understanding how fractions and decimals can represent parts of a whole in different formats.
To convert a decimal into a percentage, you multiply the decimal by 100. A percentage represents a part out of 100.
Step-by-Step Conversion
- Start with the decimal: 0.1.
- Multiply by 100:
0.1 x 100 = 10.
Result Interpretation
- The result, 10, indicates that 0.1 is equivalent to 10 percent.
Answer Choices Explained
- a) 1%: This is incorrect as it is much less than 10%.
- b) 10%: This is the correct answer since we calculated that 0.1 equals 10% when multiplied by 100.
- c) 100%: This is incorrect because it suggests a whole, not a fraction.
- d) 0.1%: This is also incorrect as it is significantly less than 10%.
Conclusion
Thus, the correct answer is option 'b) 10%'. This conversion is essential in understanding how fractions and decimals can represent parts of a whole in different formats.
What is the percentage increase if a quantity rises from 50 to 75?- a)25%
- b)50%
- c)75%
- d)100%
Correct answer is option 'B'. Can you explain this answer?
What is the percentage increase if a quantity rises from 50 to 75?
a)
25%
b)
50%
c)
75%
d)
100%
|
|
Akshat Chaudhary answered |
Understanding Percentage Increase
To find the percentage increase when a quantity rises, we can follow a simple formula. In this case, we are looking at a quantity that rises from 50 to 75.
Step 1: Determine the Increase
- First, calculate how much the quantity has increased.
- Increase = New Value - Old Value
- Increase = 75 - 50 = 25
Step 2: Calculate the Percentage Increase
- Next, we need to find out what percentage this increase (25) is of the original value (50).
- Percentage Increase = (Increase / Old Value) × 100
- Percentage Increase = (25 / 50) × 100
Step 3: Perform the Calculation
- Simplifying the fraction: (25 / 50) = 0.5
- Now, multiply by 100: 0.5 × 100 = 50%
Conclusion
The percentage increase when the quantity rises from 50 to 75 is:
- 50%
Thus, the correct answer is option 'B'.
By following these steps, you can easily calculate any percentage increase based on the initial and final values.
To find the percentage increase when a quantity rises, we can follow a simple formula. In this case, we are looking at a quantity that rises from 50 to 75.
Step 1: Determine the Increase
- First, calculate how much the quantity has increased.
- Increase = New Value - Old Value
- Increase = 75 - 50 = 25
Step 2: Calculate the Percentage Increase
- Next, we need to find out what percentage this increase (25) is of the original value (50).
- Percentage Increase = (Increase / Old Value) × 100
- Percentage Increase = (25 / 50) × 100
Step 3: Perform the Calculation
- Simplifying the fraction: (25 / 50) = 0.5
- Now, multiply by 100: 0.5 × 100 = 50%
Conclusion
The percentage increase when the quantity rises from 50 to 75 is:
- 50%
Thus, the correct answer is option 'B'.
By following these steps, you can easily calculate any percentage increase based on the initial and final values.
If 30% of a number is 90, what is the original number?- a)270
- b)300
- c)150
- d)200
Correct answer is option 'B'. Can you explain this answer?
If 30% of a number is 90, what is the original number?
a)
270
b)
300
c)
150
d)
200
|
|
Rainbow Rise Classes answered |
Let the original number be x. Then, 30% of x is 90:
30/100 × x = 90
0.3x = 90
x = 90/0.3 = 300
Convert the fraction 3/4 to a percentage.- a)25%
- b)50%
- c)75%
- d)100%
Correct answer is option 'C'. Can you explain this answer?
Convert the fraction 3/4 to a percentage.
a)
25%
b)
50%
c)
75%
d)
100%
|
Coachify answered |
To convert a fraction to a percentage, multiply it by 100:
3/4 × 100 = 75%
3/4 × 100 = 75%
A shopkeeper buys an item for ₹500 and sells it for ₹600. What is the profit percentage?- a)10%
- b)20%
- c)25%
- d)30%
Correct answer is option 'B'. Can you explain this answer?
A shopkeeper buys an item for ₹500 and sells it for ₹600. What is the profit percentage?
a)
10%
b)
20%
c)
25%
d)
30%
|
Vp Classes answered |
Profit = Selling Price (SP) - Cost Price (CP) = ₹600 - ₹500 = ₹100
Profit Percentage = Profit/CP × 100 = 100/500 × 100 = 20%
What is the meaning of the term 'percentage'?- a)A fraction with a denominator of 10
- b)A fraction with a denominator of 100
- c)A fraction with a numerator of 100
- d)A fraction with a numerator of 10
Correct answer is option 'B'. Can you explain this answer?
What is the meaning of the term 'percentage'?
a)
A fraction with a denominator of 10
b)
A fraction with a denominator of 100
c)
A fraction with a numerator of 100
d)
A fraction with a numerator of 10
|
|
Coachify answered |
A percentage represents a fraction where the denominator is 100. It is a way to express a number as a part of a whole divided into 100 equal parts.
Convert 0.75 to a percentage.- a)7.5%
- b)75%
- c)0.75%
- d)750%
Correct answer is option 'B'. Can you explain this answer?
Convert 0.75 to a percentage.
a)
7.5%
b)
75%
c)
0.75%
d)
750%
|
Freak Artworks answered |
To convert a decimal to a percentage, multiply by 100:
0.75×100=75%
0.75×100=75%
Chapter doubts & questions for Comparing Quantities - Mathematics (Maths) Class 7 2025 is part of Class 7 exam preparation. The chapters have been prepared according to the Class 7 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Class 7 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
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Mathematics (Maths) Class 7
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