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All questions of Rational Numbers for Grade 7 Exam
Which of the following is the product of (-7/8) and 4/21?- a)-1/6
- b)12
- c)-63/16
- d)-16/147
Correct answer is option 'A'. Can you explain this answer?
Which of the following is the product of (-7/8) and 4/21?
a)
-1/6
b)
12
c)
-63/16
d)
-16/147
|
Varun Kapoor answered |
ANSWER :- a
Solution :- the product of -7/8 and 4/21 is
[(-7) * (8)] * [(4) * (21)]
= - 1/6
Reciprocal of 1/x, where x ≠ 0 is ________.- a)x
- b)-x
- c)0
- d)1
Correct answer is option 'A'. Can you explain this answer?
Reciprocal of 1/x, where x ≠ 0 is ________.
a)
x
b)
-x
c)
0
d)
1
|
Lavanya Menon answered |
Reciprocal is the inverse of the number, meaning, the numerator becomes denominator and denominator becomes numerator.so 1/x become x/1
Reduce − 63/99 to the standard form.- a)11/7
- b)7/11
- c)-7/11
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
Reduce − 63/99 to the standard form.
a)
11/7
b)
7/11
c)
-7/11
d)
None of these
|
Geetika Shah answered |
Since its -63/99, dividing both numerator and denominator by 9 we get -63/9=-7 and 99/9=11 .
So it's -7/11
So it's -7/11
If −4/7 = −32/x, what is the value of x?- a)−56
- b)56
- c)46
- d)−46
Correct answer is option 'A'. Can you explain this answer?
If −4/7 = −32/x, what is the value of x?
a)
−56
b)
56
c)
46
d)
−46
|
|
Geetika Shah answered |
-4/7 = -32/X
X=32x7/4
X=56
The product of two rational numbers is always a _____.- a)integer
- b)rational number
- c)natural number
- d)whole number
Correct answer is option 'B'. Can you explain this answer?
The product of two rational numbers is always a _____.
a)
integer
b)
rational number
c)
natural number
d)
whole number
|
Swati shukla answered |
Explanation:
When we multiply two rational numbers, we get another rational number as the result. This is because a rational number is defined as the quotient of two integers, and when we multiply two quotients of integers, the result will also be a quotient of integers.
For example, let us consider two rational numbers, 1/2 and 3/4.
Their product is (1/2) x (3/4) = 3/8, which is also a rational number.
Therefore, we can say that the product of two rational numbers is always a rational number.
Answer:
The correct answer is option B, which states that the product of two rational numbers is always a rational number.
When we multiply two rational numbers, we get another rational number as the result. This is because a rational number is defined as the quotient of two integers, and when we multiply two quotients of integers, the result will also be a quotient of integers.
For example, let us consider two rational numbers, 1/2 and 3/4.
Their product is (1/2) x (3/4) = 3/8, which is also a rational number.
Therefore, we can say that the product of two rational numbers is always a rational number.
Answer:
The correct answer is option B, which states that the product of two rational numbers is always a rational number.
The product of two numbers is -20/9. If one of the numbers is 4, find the other. - a)–5/9
- b)3/11
- c)12/39
- d)–9/11
Correct answer is option 'A'. Can you explain this answer?
The product of two numbers is -20/9. If one of the numbers is 4, find the other.
a)
–5/9
b)
3/11
c)
12/39
d)
–9/11
|
Priyanka Sharma answered |
We have x * 4 = -20/9
x = -20 / 9* 4= -5/9
x = -20 / 9* 4= -5/9
What number should be added to (7/12) to get (4/15) ?- a)-19/60
- b)-19
- c)1/2
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
What number should be added to (7/12) to get (4/15) ?
a)
-19/60
b)
-19
c)
1/2
d)
None of these
|
Sanjana Kumar answered |
Let the no be x
so
7/12+x=4/15
x=4/15-7/12
take LCM
so
x=16-35/60
x=-19/60
Which of the following is the reciprocal of the reciprocal of a rational number?- a)-1
- b)1
- c)0
- d)The number itself
Correct answer is option 'D'. Can you explain this answer?
Which of the following is the reciprocal of the reciprocal of a rational number?
a)
-1
b)
1
c)
0
d)
The number itself
|
Anita Menon answered |
Let we have a rational number having numerator as 2 and denominator as 3. The rational form is given by :
2/3
Reciprocal of a number is such that the numerator becomes denominator and the denominator becomes numerator. So, the reciprocal of the above rational no will be :
3/2
The reciprocal of the reciprocal of a rational number will be again 2/3. Hence, the reciprocal of the reciprocal of a rational number is the number itself.
Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Rational Numbers, Class 7, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic. Q.Associative property is not followed in _____- a)integers
- b)whole numbers
- c)rational numbers
- d)natural numbers
Correct answer is 'C'. Can you explain this answer?
Practice Quiz or MCQ (Multiple Choice Questions) with solutions are available for Practice, which would help you prepare for chapter Rational Numbers, Class 7, Mathematics . You can practice these practice quizzes as per your speed and improvise the topic.
Q.
Associative property is not followed in _____
a)
integers
b)
whole numbers
c)
rational numbers
d)
natural numbers
|
Rishika Mukherjee answered |
In general associative properties also holds true addition as well as multiplication for all four options as well as but not true for subtraction as well as division.
If we add zero in the natural number then we also get set of numbers which is called as the whole number.
Which of the following pairs represent the same rational number?
- a)−7/21 and 1/3
- b)1/3 and −1/9
- c)−5/−9 and 5/−9
- d)−8/5 and −24/15
Correct answer is option 'D'. Can you explain this answer?
Which of the following pairs represent the same rational number?
a)
−7/21 and 1/3
b)
1/3 and −1/9
c)
−5/−9 and 5/−9
d)
−8/5 and −24/15
|
Prashanth Singh answered |
−24/15 is the equivalent rational number of −8/5.
just divide -24/15 by 3 in numerator and denominator
just divide -24/15 by 3 in numerator and denominator
simplify : 
- a)1
- b)1/2
- c)0
- d)-1
Correct answer is option 'B'. Can you explain this answer?
simplify :
a)
1
b)
1/2
c)
0
d)
-1
|
Kavya Yadav answered |
⇒ just cancel the terms with common factors in numerator and denominator
Product of two rational numbers is−8/9, one is−10/3, find other- a)-15/4
- b)4/15
- c)15/4
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
Product of two rational numbers is−8/9, one is−10/3, find other
a)
-15/4
b)
4/15
c)
15/4
d)
None of these
|
|
Anita Menon answered |
Let the two rational numbers be x and y.
Given that x = -10/3
Product of two rational numbers is -8/9.
⇒ x * y = -8/9
⇒ -10/3 * y = -8/9
⇒ -10y/3 = -8/9
⇒ -30y = -8
⇒ y = 4/15
Rewrite −44/72 in the simplest form.- a)-18/11
- b)-11/18
- c)-11/19
- d)-11/20
Correct answer is option 'B'. Can you explain this answer?
Rewrite −44/72 in the simplest form.
a)
-18/11
b)
-11/18
c)
-11/19
d)
-11/20
|
|
Ananya Das answered |
The HCF for 44 & 72 is 4
divide the numerator & denominator by HCF 4 and rewrite the fraction
= (44/4) / (72/4)
= 11/18
= (44/4) / (72/4)
= 11/18
Which is the greatest?
- a)−5/11
- b)5/−12
- c)−5/17
- d)−5/13
Correct answer is option 'C'. Can you explain this answer?
Which is the greatest?
a)
−5/11
b)
5/−12
c)
−5/17
d)
−5/13
|
Shobha kulkarni answered |
It depends on what you are referring to. It could be a subjective question and can vary depending on personal opinions and preferences.
____ is the multiplicative identity for rational numbers.- a)0
- b)1
- c)-1
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
____ is the multiplicative identity for rational numbers.
a)
0
b)
1
c)
-1
d)
None of these
|
|
Anita Menon answered |
1 is the multiplicative identity which means that identity of the number remains intact if it is multiplied by 1
- a)1/5
- b)6/5
- c)5/6
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
a)
1/5
b)
6/5
c)
5/6
d)
None of these
|
|
Anita Menon answered |
x = (-1*-15)/(3*6)
= 15/18
= 5/6
so reciprocal 1/x = 6/5
What type of a number is −3/0 ?- a)A positive rational number.
- b)A negative rational number.
- c)Either a positive or a negative rational number.
- d)Neither a positive nor a negative rational number.
Correct answer is option 'D'. Can you explain this answer?
What type of a number is −3/0 ?
a)
A positive rational number.
b)
A negative rational number.
c)
Either a positive or a negative rational number.
d)
Neither a positive nor a negative rational number.
|
Anima Shankar answered |
Since the denominator is 0, it is not a rational number.
- a)<
- b)=
- c)>
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
a)
<
b)
=
c)
>
d)
None of these
|
|
Divyansh answered |
The answer is option b as in Such fractions when the denominator is negetive,the - sign is shifted to the numerator, Hence -5/11=-5/11
Write the rational number whose numerator is 4 × (– 7) and denominator is (3 –7) × (15 – 11).- a)16/28
- b)8/13
- c)13/8
- d)28/16
Correct answer is option 'D'. Can you explain this answer?
Write the rational number whose numerator is 4 × (– 7) and denominator is (3 –7) × (15 – 11).
a)
16/28
b)
8/13
c)
13/8
d)
28/16
|
Praveen Kumar answered |
Step 1: Calculate the Numerator
The numerator is given as: 4 × (-7)
4 × (-7) = -28
So, the numerator is -28.
Step 2: Calculate the Denominator
The denominator is given as: (3 - 7) × (15 - 11)
First, calculate 3 - 7:
3 - 7 = -4
Next, calculate 15 - 11:
15 - 11 = 4
Now, multiply these two results:
(-4) × 4 = -16
So, the denominator is -16.
Step 3: Write the Rational Number
Now we can write the rational number as:
-28 / -16
Step 4: Simplify the Rational Number
Since both the numerator and denominator are negative, we can cancel the negative signs:
-28 / -16 = 28 / 16
Now, simplify 28/16:
Both 28 and 16 can be divided by 4:
28 ÷ 4 = 7, 16 ÷ 4 = 4
The rational number is: 7/4
kmWhat is the percentage of the least number in the greatest number of 3/5,9/5,1/5 and 7/5 ?
- a)
- b)10
- c)20
- d)25
Correct answer is option 'A'. Can you explain this answer?
What is the percentage of the least number in the greatest number of 3/5,9/5,1/5 and 7/5 ?
a)
b)
10
c)
20
d)
25
|
Rishabh Basu answered |
The given numbers can be arranged in ascending order as1/5 < 3/5 < 7/5 < 9/5
The greatest number = 9/5;
The least number = 1/5
We have, 9/5 × x/100 = 1/5
⇒ x = 100/9 =
The greatest number = 9/5;
The least number = 1/5
We have, 9/5 × x/100 = 1/5
⇒ x = 100/9 =
The rational number 9/1 in integer is _____.- a)0
- b)9
- c)-9
- d)1
Correct answer is option 'B'. Can you explain this answer?
The rational number 9/1 in integer is _____.
a)
0
b)
9
c)
-9
d)
1
|
|
Ananya Das answered |
If we have 1 in the denominator, the number is the number of numerator only. That is 9/1=9
Fill in the blank using appropriate option
a)<b)>c)=d)None of theseCorrect answer is option 'A'. Can you explain this answer?
|
|
Geetika Shah answered |
Since -¼ is closer to zero than -⅓ , -¼ is greater than -⅓ . So the answer is A.
0 ____ −7/6- a)=
- b)<
- c)>
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
0 ____ −7/6
a)
=
b)
<
c)
>
d)
None of these
|
Rainbow Rise Classes answered |
0 is greater than any negative number.
-7/6 is a negative number, so 0 is greater than -7/6.
Therefore, the correct symbol to fill in the blank is <, since 0 is less than -7/6 when placed in the order.
The correct symbol is <, and the answer is Option B: <.
What should be added to -5/11 to get 3/11 ?- a)-1/4
- b)8/11
- c)1
- d)-3/4
Correct answer is option 'B'. Can you explain this answer?
What should be added to -5/11 to get 3/11 ?
a)
-1/4
b)
8/11
c)
1
d)
-3/4
|
|
Radha menon answered |
To find what should be added to -5/11 to get 3/11, we need to find the missing value that, when added to -5/11, equals 3/11.
Let's represent the missing value as "x".
The equation can be written as:
-5/11 + x = 3/11
To solve for "x", we need to isolate it on one side of the equation.
First, let's get rid of the -5/11 on the left side by adding 5/11 to both sides of the equation:
-5/11 + 5/11 + x = 3/11 + 5/11
Simplifying the left side gives us:
0 + x = 3/11 + 5/11
Combining the fractions on the right side:
x = 8/11
Therefore, the missing value that should be added to -5/11 to get 3/11 is 8/11.
In the answer choices provided, option B) 8/11 is the correct choice.
Let's represent the missing value as "x".
The equation can be written as:
-5/11 + x = 3/11
To solve for "x", we need to isolate it on one side of the equation.
First, let's get rid of the -5/11 on the left side by adding 5/11 to both sides of the equation:
-5/11 + 5/11 + x = 3/11 + 5/11
Simplifying the left side gives us:
0 + x = 3/11 + 5/11
Combining the fractions on the right side:
x = 8/11
Therefore, the missing value that should be added to -5/11 to get 3/11 is 8/11.
In the answer choices provided, option B) 8/11 is the correct choice.
Which of the rational number is positive?- a)3/7
- b)-5/7
- c)-4/7
- d)-3/7
Correct answer is option 'A'. Can you explain this answer?
Which of the rational number is positive?
a)
3/7
b)
-5/7
c)
-4/7
d)
-3/7
|
Nayanika Chauhan answered |
The rational number that is positive is (a) 3/7. A rational number is a number that can be expressed as the ratio of two integers. Positive rational numbers are those that are greater than zero, while negative rational numbers are those that are less than zero.
In the given list of numbers, 3/7 is the only number that is greater than zero, so it is the only positive rational number. The other numbers, -5/7, -4/7, and -3/7, are all less than zero and are therefore negative rational numbers.
What number should be added to 3/8 to get -1/24? - a)-5/12
- b)-7/23
- c)31/72
- d)2/33
Correct answer is option 'A'. Can you explain this answer?
What number should be added to 3/8 to get -1/24?
a)
-5/12
b)
-7/23
c)
31/72
d)
2/33
|
Shreya malhotra answered |
3/8 + x = -1/24
x = -1/24 - 3/8
x = -10/24
x = -5/12
Which of the following is not a rational number(s)?- a)−2/9
- b)4/−7
- c)−3/−17
- d)√2/3
Correct answer is option 'D'. Can you explain this answer?
Which of the following is not a rational number(s)?
a)
−2/9
b)
4/−7
c)
−3/−17
d)
√2/3
|
Mainak Basu answered |
√2/3 is not a rational number.
What is the difference between the greatest and least numbers of 5/9,1/9 and 11/9 ?- a)2/9
- b)4/9
- c)10/9
- d)2/3
Correct answer is option 'C'. Can you explain this answer?
What is the difference between the greatest and least numbers of 5/9,1/9 and 11/9 ?
a)
2/9
b)
4/9
c)
10/9
d)
2/3
|
Akshara Bajaj answered |
The ascending order of given numbers is 1/9,5/9,11/9.
∴ Required difference = 11/9 −1/9 = 10/9
∴ Required difference = 11/9 −1/9 = 10/9
Which is the correct descending order of −2, 4/−5, −11/20, 3/4?
- a)3/4 > −2 > −11/20 > 4/−5
- b)3/4 > −11/20 > −4/5 > −2
- c)3/4 > 4/−5 > −2 > −11/20
- d)3/4 > 4/−5 >−11/20 > −2
Correct answer is option 'B'. Can you explain this answer?
Which is the correct descending order of −2, 4/−5, −11/20, 3/4?
a)
3/4 > −2 > −11/20 > 4/−5
b)
3/4 > −11/20 > −4/5 > −2
c)
3/4 > 4/−5 > −2 > −11/20
d)
3/4 > 4/−5 >−11/20 > −2
|
|
Prashanth Singh answered |
L.C.M. of 5, 4 and 20 is 20.
4/−5 × 4/4 = 16/−20;3/4 = 3×5/4×5 = 15/20
−2 < 4/−5 < −11/20 < 3/4
or
3/4 > −11/20 > 4/−5 > −2
is the required descending order.
Rewrite equivalent fractions of the given fractions and then compare then.
Arrange them in descending order.
4/−5 × 4/4 = 16/−20;3/4 = 3×5/4×5 = 15/20
−2 < 4/−5 < −11/20 < 3/4
or
3/4 > −11/20 > 4/−5 > −2
is the required descending order.
Rewrite equivalent fractions of the given fractions and then compare then.
Arrange them in descending order.
Which of the following statements is correct?- a)0 is called the additive identity for rational numbers.
- b)1 is called the multiplicative identity for rational numbers.
- c)The additive inverse of 0 is zero itself.
- d)All the above.
Correct answer is option 'D'. Can you explain this answer?
Which of the following statements is correct?
a)
0 is called the additive identity for rational numbers.
b)
1 is called the multiplicative identity for rational numbers.
c)
The additive inverse of 0 is zero itself.
d)
All the above.
|
Pranjal Banerjee answered |
All the given statements are correct. Consider
4/5 [a] Since 4/5 + 0 = 4/5,, 1 is the additive identity of rational numbers. [b] Since
4/5 × 1= 4/5, is the multiplicative identity of rational numbers. [c] Since 0+0=0,
0 is the additive inverse of 0.
4/5 [a] Since 4/5 + 0 = 4/5,, 1 is the additive identity of rational numbers. [b] Since
4/5 × 1= 4/5, is the multiplicative identity of rational numbers. [c] Since 0+0=0,
0 is the additive inverse of 0.
What is the average of the two middle rational numbers if 4/7,1/3,2/5 and 5/9 are arranged in ascending order?- a)80/90
- b)86/45
- c)43/45
- d)43/90
Correct answer is option 'D'. Can you explain this answer?
What is the average of the two middle rational numbers if 4/7,1/3,2/5 and 5/9 are arranged in ascending order?
a)
80/90
b)
86/45
c)
43/45
d)
43/90
|
Nitin Patel answered |
The ascending order of 4/7,1/3, 2/5 and 5/9 is 1/3<2/5<5/9<4/7. The two middle numbers are 2/5 and 5/9.
∴ Average = 
= 43/90
= 43/90The sum of two rational numbers is −3. If one of the numbers is −7/5, find the other number.
- a)−8/5
- b)8/5
- c)−6/5
- d)6/5
Correct answer is option 'A'. Can you explain this answer?
The sum of two rational numbers is −3. If one of the numbers is −7/5, find the other number.
a)
−8/5
b)
8/5
c)
−6/5
d)
6/5
|
Deepak Mehra answered |
Let's assume another number be x
According to question
(-7/5) + x = -3
⇒ x = -3 + 7/5
⇒ x = -3/1 + 7/5
LCM of 1 and 5 is 5.
So,
⇒ x = (-15 + 7)/5
⇒ x = -8/5
∴ Second number is - 8/5,
The correct option is - 8/5
Which of the following is correct?- a)
- b)
- c)
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Which of the following is correct?
a)
b)
c)
d)
None of these
|
|
Peaky Blinders answered |
Cross multiple the fractions
-4 -3
__ ____
-5 -10
-4×10 -3×5
-40 -15
-40 > -15
-4 -3
___ > ____
-5 -10
-4 -3
__ ____
-5 -10
-4×10 -3×5
-40 -15
-40 > -15
-4 -3
___ > ____
-5 -10
- a)1
- b)-1
- c)7
- d)-7
Correct answer is option 'B'. Can you explain this answer?
a)
1
b)
-1
c)
7
d)
-7
|
|
Rainbow Rise Classes answered |
The expression given is:
Dividing by a fraction is the same as multiplying by its reciprocal. So,
Thus, the correct answer is B: -1.
Dividing by a fraction is the same as multiplying by its reciprocal. So,
Thus, the correct answer is B: -1.
Which of the following statements is correct?- a)p is false and q is true.
- b)p is true and q is false.
- c)Both p and q are true.
- d)Both p and q are false.
Correct answer is option 'B'. Can you explain this answer?
Which of the following statements is correct?
a)
p is false and q is true.
b)
p is true and q is false.
c)
Both p and q are true.
d)
Both p and q are false.
|
Lekshmi Gupta answered |
Since, every integer having a denominator 1 can be expressed in P/q form, p is true. Since, a rational number with denominator other than 1 is not an integer (e.g., 3/5), q is false.
Which of the following is correct?- a)p is true and q is false.
- b)p is false and q is true.
- c)Both p and q are true.
- d)Both p and q are false.
Correct answer is option 'A'. Can you explain this answer?
Which of the following is correct?
a)
p is true and q is false.
b)
p is false and q is true.
c)
Both p and q are true.
d)
Both p and q are false.
|
Ritika Singh answered |
Let us consider a fraction 3/5 and a rational number = 14/7
By definition, 3/5 is a rational number. So, p is true. By definition, -4/7 is not a fraction, since, −4 is not a natural number. So, q is false.
By definition, 3/5 is a rational number. So, p is true. By definition, -4/7 is not a fraction, since, −4 is not a natural number. So, q is false.
Which of the following is correct?- a)
- b)
- c)
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
Which of the following is correct?
a)
b)
c)
d)
None of these
|
|
Rainbow Rise Classes answered |
- Number Line Position:
- -1/2 is equivalent to -0.5.
- -1/3 is approximately -0.333....
- Comparing the Values:
- On the number line, -0.5 is positioned to the left of -0.333....
- Numbers to the left on the number line are smaller (or more negative) than those to the right.
- Conclusion:
- Since -0.5 is to the left of -0.333..., it means -0.5 < -0.333....
- Therefore, -1/2 < -1/3.
- a)1
- b)-1
- c)2
- d)-5
Correct answer is option 'A'. Can you explain this answer?
a)
1
b)
-1
c)
2
d)
-5
|
Tutorpedia Coaching answered |
The given expression is:
When multiplying fractions, multiply the numerators together and the denominators together. So:
So, the correct answer is 1, which corresponds to Option A.
When multiplying fractions, multiply the numerators together and the denominators together. So:
So, the correct answer is 1, which corresponds to Option A.
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Mathematics for Grade 7
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