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All questions of Ratio & Proportion for Class 6 Exam
If 12, 21, 72, 126 are in proportion, then:- a)12 × 21 = 72 x 126;
- b)12 × 72 = 21 x 126;
- c)12 × 126 = 21 x 72;
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
If 12, 21, 72, 126 are in proportion, then:
a)
12 × 21 = 72 x 126;
b)
12 × 72 = 21 x 126;
c)
12 × 126 = 21 x 72;
d)
none of these
|
Stoneridge Institute answered |
If 12, 21, 72, 126 are in proportion, then:
In a proportion, the product of the first and fourth terms is equal to the product of the second and third terms.
So, let's check each option:
(i) 12×21=72×126 → This is not true.
(ii) 12×72=21×126 → This is not true.
(iii) 12×126=21×72 → This is true.
(iv) None of these → We already found a true statement in option (c).
So, let's check each option:
(i) 12×21=72×126 → This is not true.
(ii) 12×72=21×126 → This is not true.
(iii) 12×126=21×72 → This is true.
(iv) None of these → We already found a true statement in option (c).
The ratio of 1.5 m to 10 cm is:- a)1 : 15;
- b)15 : 10;
- c)10 : 15;
- d) 15 : 1
Correct answer is option 'D'. Can you explain this answer?
The ratio of 1.5 m to 10 cm is:
a)
1 : 15;
b)
15 : 10;
c)
10 : 15;
d)
15 : 1
|
Edu Impact answered |
The ratio of 1.5 m to 10 cm is:
- To compare lengths, we should convert both lengths to the same unit. Let's convert 1.5 m to cm (since 1 m = 100 cm).
- 1.5m=1.5 x 100 cm =150 cm
- 1.5m=1.5x100cm =150cm.
- Now we have 150 cm to 10 cm. The ratio is 150:10
- To simplify, divide both by their greatest common divisor, which is 10.
- So, the ratio is 15 : 1, which corresponds to option (d).
The ratio of 1 hour to 300 seconds is:- a)1 : 12;
- b)12 : 1;
- c)1 : 5;
- d)5 : 1
Correct answer is option 'B'. Can you explain this answer?
The ratio of 1 hour to 300 seconds is:
a)
1 : 12;
b)
12 : 1;
c)
1 : 5;
d)
5 : 1
|
Rahul Kumar answered |
The ratio of 1 hour to 300 seconds is:
- To compare time, we should convert both times to the same unit. Let's convert 1 hour to seconds (since 1 hour = 3600 seconds).
- 1 hour = 1 × 3600 seconds = 3600 seconds
- Now we have 3600 seconds to 300 seconds. The ratio is 3600 : 300.
- To simplify, divide both by their greatest common divisor, which is 300.
- So, the ratio is 12 : 1, which corresponds to option (b).
Two numbers are in the ratio 7 : 9. If the sum of the numbers is 112, then the larger number is:- a)49;
- b)72;
- c)63;
- d)42
Correct answer is option 'C'. Can you explain this answer?
Two numbers are in the ratio 7 : 9. If the sum of the numbers is 112, then the larger number is:
a)
49;
b)
72;
c)
63;
d)
42
|
|
Edu Impact answered |
Two numbers are in the ratio 7 : 9. If the sum of the numbers is 112, then the larger number is:
First, let's find the total parts in the ratio (7 + 9 = 16 parts).
Since the sum of the numbers is 112 and there are 16 parts in total, each part represents
112/16=7
So, the larger number (which has 9 parts) is
9x7=63
Therefore, the answer is (c) 63.
Since the sum of the numbers is 112 and there are 16 parts in total, each part represents
112/16=7
So, the larger number (which has 9 parts) is
9x7=63
Therefore, the answer is (c) 63.
A ratio equivalent to 3 : 7 is:- a)3 : 9;
- b)6 : 10;
- c)9 : 21;
- d)18:49
Correct answer is option 'C'. Can you explain this answer?
A ratio equivalent to 3 : 7 is:
a)
3 : 9;
b)
6 : 10;
c)
9 : 21;
d)
18:49
|
Saranya Das answered |
Equivalent Ratio Explanation:
To find a ratio equivalent to 3 : 7, we need to find another ratio that represents the same relationship between the two quantities. In this case, we need to find a ratio with the same value when simplified.
Calculating the Equivalent Ratio:
- To find an equivalent ratio, we need to multiply or divide both parts of the given ratio by the same number.
- In this case, we can multiply both parts of the ratio 3 : 7 by 3 to get an equivalent ratio.
- 3 x 3 = 9 and 7 x 3 = 21
- Therefore, the equivalent ratio of 3 : 7 is 9 : 21.
Verifying the Equivalent Ratio:
- To verify if 9 : 21 is indeed equivalent to 3 : 7, we can simplify both ratios.
- The simplified form of 3 : 7 is 3/1 : 7/1 = 3 : 7
- The simplified form of 9 : 21 is 9/3 : 21/3 = 3 : 7
- Since both ratios simplify to the same value, 9 : 21 is indeed an equivalent ratio to 3 : 7.
Therefore, the correct ratio equivalent to 3 : 7 is 9 : 21.
In a class there are 20 boys and 15 girls. The ratio of boys to girls is:- a)4 : 3;
- b)3 : 4;
- c)4 : 5;
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
In a class there are 20 boys and 15 girls. The ratio of boys to girls is:
a)
4 : 3;
b)
3 : 4;
c)
4 : 5;
d)
none of these
|
|
Stoneridge Institute answered |
In a class there are 20 boys and 15 girls. The ratio of boys to girls is:
To find the ratio of boys to girls, we simply put the number of boys first, followed by the number of girls. So, it's 20 : 15. However, to simplify the ratio, we can find the greatest common divisor (GCD) of 20 and 15 and divide both numbers by it:
To find the ratio of boys to girls, we simply put the number of boys first, followed by the number of girls. So, it's 20 : 15. However, to simplify the ratio, we can find the greatest common divisor (GCD) of 20 and 15 and divide both numbers by it:
GCD of 20 and 15 is 5.
Divide both numbers by 5: 20 ÷ 5 = 4, 15 ÷ 5 = 3.
So, the simplified ratio is 4 : 3, which corresponds to option (a).
Divide both numbers by 5: 20 ÷ 5 = 4, 15 ÷ 5 = 3.
So, the simplified ratio is 4 : 3, which corresponds to option (a).
In 4 : 7 : : 16 : 28, 7 and 16 are called- a)extreme terms;
- b)middle terms;
- c)b middle and c extreme term;
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
In 4 : 7 : : 16 : 28, 7 and 16 are called
a)
extreme terms;
b)
middle terms;
c)
b middle and c extreme term;
d)
none of these
|
|
Rahul Kumar answered |
In 4 : 7 : : 16 : 28, 7 and 16 are called:
- In a proportion, the first and last terms are called the "extreme terms," and the middle terms are called the "middle terms."
- Here, 4 and 28 are the extreme terms, and 7 and 16 are the middle terms.
- So, the answer is (b) middle terms.
The first, second and fourth terms of a proportion are 16, 24 and 54 respectively. Then the third term is:- a)36;
- b)28;
- c)48;
- d)32
Correct answer is option 'A'. Can you explain this answer?
The first, second and fourth terms of a proportion are 16, 24 and 54 respectively. Then the third term is:
a)
36;
b)
28;
c)
48;
d)
32
|
Juhi Kumar answered |
Given Information:
- First term (a) = 16
- Second term (b) = 24
- Fourth term (d) = 54
Formula for Proportion:
- In a proportion, the product of the first and fourth terms is equal to the product of the second and third terms.
- Mathematically, this can be represented as: a * d = b * c
Finding the Third Term (c):
- Using the given values in the formula: 16 * 54 = 24 * c
- Solving for c: 864 = 24c
- Dividing both sides by 24: c = 36
Therefore, the third term in the proportion is 36. Hence, the correct answer is option 'A' - 36.
If x, y and z are in proportion, then:- a)x : y : : z : x;
- b)x : y : : y : z;
- c)x : y : : z : y;
- d)x : z : : y : z
Correct answer is option 'B'. Can you explain this answer?
If x, y and z are in proportion, then:
a)
x : y : : z : x;
b)
x : y : : y : z;
c)
x : y : : z : y;
d)
x : z : : y : z
|
|
Juhi Kumar answered |
Explanation:
Proportional Relationship:
When three quantities x, y, and z are in proportion, it means that they can be expressed as a ratio of two equal fractions.
Expressing Proportion:
If x : y :: z : x, it means that the ratio of x to y is equal to the ratio of z to x.
Correct Answer:
Therefore, the correct answer is option B which states x : y : : y : z. This represents the proportional relationship between x, y, and z where the ratio of x to y is equal to the ratio of y to z.
The ratio 35 : 84 in simplest form is:- a)5 : 7;
- b)7 : 12;
- c)5 : 12;
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
The ratio 35 : 84 in simplest form is:
a)
5 : 7;
b)
7 : 12;
c)
5 : 12;
d)
none of these
|
Amrutha Nambiar answered |
Understanding Ratios
A ratio is a way to compare two quantities by division. In this case, we are looking at the ratio 35 : 84.
Finding the Simplest Form
To simplify the ratio, we need to find the greatest common divisor (GCD) of 35 and 84.
Step 1: Finding the GCD
- The factors of 35 are: 1, 5, 7, 35
- The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
The highest common factor between 35 and 84 is 7.
Step 2: Dividing by the GCD
Now, we will divide both terms of the ratio by their GCD (7):
- 35 ÷ 7 = 5
- 84 ÷ 7 = 12
This gives us the simplified ratio of 5 : 12.
Conclusion
Thus, the ratio 35 : 84 in its simplest form is 5 : 12.
The correct answer is option 'C'.
Summary
- Original ratio: 35 : 84
- GCD of 35 and 84: 7
- Simplified ratio: 5 : 12
This systematic approach helps in understanding how to simplify ratios effectively.
A ratio is a way to compare two quantities by division. In this case, we are looking at the ratio 35 : 84.
Finding the Simplest Form
To simplify the ratio, we need to find the greatest common divisor (GCD) of 35 and 84.
Step 1: Finding the GCD
- The factors of 35 are: 1, 5, 7, 35
- The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
The highest common factor between 35 and 84 is 7.
Step 2: Dividing by the GCD
Now, we will divide both terms of the ratio by their GCD (7):
- 35 ÷ 7 = 5
- 84 ÷ 7 = 12
This gives us the simplified ratio of 5 : 12.
Conclusion
Thus, the ratio 35 : 84 in its simplest form is 5 : 12.
The correct answer is option 'C'.
Summary
- Original ratio: 35 : 84
- GCD of 35 and 84: 7
- Simplified ratio: 5 : 12
This systematic approach helps in understanding how to simplify ratios effectively.
Chapter doubts & questions for Ratio & Proportion - Mathematics Class 6 (Maharashtra Board) 2025 is part of Class 6 exam preparation. The chapters have been prepared according to the Class 6 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Class 6 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
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Mathematics Class 6 (Maharashtra Board)
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