# MCQ Questions for Class 7 Maths Chapter 9 Rational Numbers with Answers

If you’re looking for a way to enhance your Class 7 Maths, then look no further than the NCERT MCQ Questions for Class 7 Maths Chapter 9 Rational Numbers with Answers. MCQ Questions for Class 7 Maths with Answers is perfect for those who are in Class 7 Maths and want to get ahead of everyone else by mastering their subject skills as soon as possible! You can practice and test your subject knowledge by solving these Class 7 Maths Chapter 9 Rational Numbers Objective Questions.

## Rational Numbers Class 7 MCQs Questions with Answers

Solving Class 7 Maths Chapter 9 MCQ with Answers can be of great help to students as they will be aware of all the concepts. These MCQ Questions on Rational Numbers Class 7 Maths with Answers pave for a quick revision, thereby helping you learn more about this subject.

Question 1.
Write denominator of given rational number : 5
(a) 1
(b) 0
(c) 3
(d) none of these

If there is no denominator then 1 is always the denominator.

Question 2.
Reduce to standard form : $$\frac{-3}{-15}$$
(a) $$\frac{1}{5}$$
(b) $$\frac{- 1}{5}$$
(c) $$\frac{- 1}{- 5}$$
(d) none of these

Answer: (a) $$\frac{1}{5}$$
HCF of numerator and denominator is 3 and both have negative sign so result is positive. Standard form is obtained by dividing by 3.

Question 3.
The numbers used for counting objects are called :
(a) Natural numbers
(b) Whole numbers
(c) Integers
(d) None of these

Counting objects are always positive and more than zero.

Question 4.
Reduce to standard form $$\frac{-36}{24}$$
(a) $$\frac{6}{4}$$
(b) $$\frac{- 3}{2}$$
(c) $$\frac{4}{6}$$
(d) none of these

Answer: (b) $$\frac{- 3}{2}$$
HCF of numerator and denominator is 12. Standard form is obtained by divided 12.

Question 5.
Fractions are in the form of:
(a) $$\frac{numerator}{0}$$
(b) $$\frac{numerator}{denominator}$$
(c) $$\frac{denominator}{numerator}$$
(d) None of these

Answer: (b) $$\frac{numerator}{denominator}$$
Definition of a fraction.

Question 6.
Rational number between -2 and -1.
(a) $$\frac{3}{2}$$
(b) 3
(c) $$\frac{- 3}{2}$$
(d) none of these

Answer: (c) $$\frac{- 3}{2}$$
Sum of two given numbers is divided by 2.

Question 7.
Give equivalent number to $$\frac{- 2}{7}$$
(a) $$\frac{- 4}{14}$$
(b) $$\frac{4}{14}$$
(c) $$\frac{- 4}{- 14}$$
(d) none of these

Answer: (a) $$\frac{x}{y}$$
Both numerator and denominator is multiplied by same number.

Question 8.
Rewrite the number $$\frac{25}{45}$$ in the simplest form :
(a) $$\frac{5}{45}$$
(b) $$\frac{5}{9}$$
(c) $$\frac{9}{5}$$
(d) none of these

Answer: (b) $$\frac{5}{9}$$
HCF of numerator and denominator is 5. Simplest form is detained by dividing both by 5.

Question 9.
Write correct symbol $$\frac{- 5}{7}$$ ▢ $$\frac{2}{3}$$
(a) < (b) >
(c) =
(d) none of these

Positive number is always greater than negative.

Question 10.
Write correct symbol $$\frac{- 5}{11}$$ ▢ $$\frac{- 5}{11}$$
(a) =
(b) >
(c) <
(d) none of these

Both have same sign, numerator and denominator.

Question 11.
Write correct symbol 0 ▢ $$\frac{-7}{6}$$
(a) < (b) = (c) >
(d) none of these

Zero is greater than negative rational numbers.

Question 12.
Additive inverse of $$\frac{4}{7}$$ is :
(a) $$\frac{- 4}{7}$$
(b) $$\frac{- 4}{- 7}$$
(c) $$\frac{7}{4}$$
(d) none of these

Answer: (a) $$\frac{- 4}{7}$$
Number which when added the result becomes zero.

Question 13.
Find the product $$\frac{3}{11}$$ x $$\frac{2}{5}$$
(a) $$\frac{6}{55}$$
(b) $$\frac{5}{55}$$
(c) $$\frac{- 6}{55}$$
(d) none of these

Answer: (a) $$\frac{6}{55}$$
Numerator is multiplied by numerator and denominator is multipled by denominator.

Question 14.
The value of $$\frac{- 1}{8}$$ ÷ $$\frac{3}{4}$$is
(a) $$\frac{- 1}{6}$$
(b) $$\frac{1}{6}$$
(c) $$\frac{6}{1}$$
(d) none of these

Answer: (a) $$\frac{- 1}{6}$$
First number is multiplied by reciprocal of another.

Question 15.
Find the product $$\frac{9}{2}$$ x $$\frac{- 7}{4}$$
(a) $$\frac{63}{8}$$
(b) $$\frac{8}{63}$$
(c) $$\frac{- 63}{8}$$
(d) none of these

Answer: (c) $$\frac{- 63}{8}$$
Numerator is multiplied by numerator and denominator is multiplied by denominator. Result has negative sign.

Question 16.
Reciprocal of 1.
(a) 0
(b) 1
(c) -1
(d) none of these

Reciprocal of 1 is 1.

Question 17.
$$\frac{4}{5}$$ is a rational number of the form $$\frac{p}{q}$$ where p and q are :
(a) p = 4,q = 5
(b) p = 5, q = 4
(c) none of these

Answer: (a) p = 4,q = 5
In a rational number numerator is denoted by p and denominator
by q

Question 18.
$$\frac{2}{3}$$ is
(a) Positive rational number
(b) Negative rational number
(c) None of these

Both numerator and denominator are positive.

Question 19.
$$\frac{- 5}{7}$$ is :
(a) Positive rational number
(b) Negative rational number
(c) None of these

Numerator is positive and denominator is negative.

Question 20.
$$\frac{- 2}{- 5}$$ is :
(a) Positive rational number
(b) Negative rational number
(c) None of these

Numerator and denominator both are negative.

Question 21.
0 is :
(a) Positive rational number
(b) Negative rational number
(c) neither positive nor negative rational number
(d) None of these

Answer: (c) neither positive nor negative rational number
As 0 lies in the centre of a number line.

Question 22.
Next number of given pattern is $$\frac{- 1}{3}$$, $$\frac{- 2}{6}$$, $$\frac{- 3}{9}$$
(a) $$\frac{- 4}{12}$$
(b) $$\frac{- 5}{12}$$
(c) $$\frac{- 6}{12}$$
(d) none of these

Answer: (a) $$\frac{- 4}{12}$$
Numerator and denominator of 1st rational number—is multiplied by 4.

Question 23.
Ascending order of $$\frac{- 3}{5}$$, $$\frac{- 2}{5}$$, $$\frac{- 1}{5}$$
(a) $$\frac{- 1}{5}$$, $$\frac{- 2}{5}$$, $$\frac{- 3}{5}$$
(b) $$\frac{- 3}{5}$$, $$\frac{- 2}{5}$$, $$\frac{- 1}{5}$$
(c) none of these

Answer: (b) $$\frac{- 3}{5}$$, $$\frac{- 2}{5}$$, $$\frac{- 1}{5}$$
Denominator of each rational number is same. All rational numbers are negative so according to positive on number line ascending order is written

Question 24.
What number should be added to ($$\frac { 7 }{ 12 }$$) to get ($$\frac { 5 }{ 15 }$$) ?
(a) $$\frac { -19 }{ 60 }$$
(b) -19
(c) $$\frac { 1 }{ 2 }$$
(d) None of these

Answer: (a) $$\frac { -19 }{ 60 }$$

Question 25.
Reduce $$\frac { -63 }{ 99 }$$ to the standard form.
(a) $$\frac { 11 }{ 17 }$$
(b) $$\frac { -7 }{ 11 }$$
(c) ​$$\frac { 7 }{ 11 }$$
(d) None of these

Answer: (b) $$\frac { -7 }{ 11 }$$

Question 26.
________ is the identity for the addition of rational numbers.
(a) 0
(b) 1
(c) -1
(d) None of these

Question 27.
Which of the rational number is positive?
(a) $$\frac { 3 }{ 7 }$$
(b) $$\frac { -5 }{ 7 }$$
(c) $$\frac { -4 }{ 7 }$$
(d) $$\frac { -3 }{ 7 }$$

Answer: (a) $$\frac { 3 }{ 7 }$$

Question 28.
The product of two rational numbers is always a _____.
(a) integer
(b) rational number
(c) natural number
(d) whole number

Question 29.
The numbers ________ and ________ are their own reciprocals.
(a) -1 and 0
(b) 1 and 0
(c) 1 and -1
(d) None of these

Question 30.
Which of the following pairs represent the same rational number?
(a) $$\frac { -7 }{ 21 }$$ and $$\frac { 1 }{ 3 }$$
(b) $$\frac { 1 }{ 3 }$$ and $$\frac { -1 }{ 9 }$$
(c) $$\frac { -5 }{ -9 }$$ and $$\frac { 5 }{ -9 }$$
(d) $$\frac { 8 }{ -5 }$$ and $$\frac { -24 }{ 15 }$$

Answer: (d) $$\frac { 8 }{ -5 }$$ and $$\frac { -24 }{ 15 }$$

Question 31.
The product of two numbers is $$\frac { -20 }{ 9 }$$. If one of the numbers is 4, find the other.
(a) $$\frac { -5 }{ 9 }$$
(b) $$\frac { 3 }{ 11 }$$
(c) $$\frac { 12 }{ 39 }$$
(d) $$\frac { -9 }{ 11 }$$

Answer: (a) $$\frac { -5 }{ 9 }$$

Question 32.
Rewrite $$\frac { -44 }{ 72 }$$ in the simplest form.
(a) $$\frac { -18 }{ 11 }$$
(b) $$\frac { -11 }{ 18 }$$
(c) $$\frac { -11 }{ 19 }$$
(d) $$\frac { =11 }{ 20 }$$

Answer: (c) $$\frac { -11 }{ 19 }$$

Question 33.
What is the average of the two middle rational numbers if $$\frac { 4 }{ 7 }$$, $$\frac { 1 }{ 3 }$$, $$\frac { 2 }{ 5 }$$ and $$\frac { 5 }{ 9 }$$ are arranged in ascending order?
(a) $$\frac { 80 }{ 90 }$$
(b) $$\frac { 86 }{ 45 }$$
(c) $$\frac { 43 }{ 45 }$$
(d) $$\frac { 43 }{ 90 }$$

Answer: (d) $$\frac { 43 }{ 90 }$$

Question 34.
If $$\frac { -4 }{ 7 }$$ = $$\frac { -32 }{ x }$$, what is the value of x?
(a) 56
(b) −56
(c) ​46
(d) −46

Question 35.
The rational number $$\frac { 9 }{ 1 }$$ in integer is _____.
(a) 0
(b) 9
(c) -9
(d) 1

Question 36.
What is the result of 2 − $$\frac { 11 }{ 39 }$$ + $$\frac { 5 }{ 26 }$$?
(a) $$\frac { 149 }{ 39 }$$
(b) $$\frac { 149 }{ 78 }$$
(c) $$\frac { 149 }{ 76 }$$
(d) $$\frac { 149 }{ 98 }$$

Answer: (b) $$\frac { 149 }{ 78 }$$

Question 37.
Associative property is not followed in _____
(a) integers
(b) whole numbers
(c) rational numbers
(d) natural numbers

Question 38.
Which is the correct descending order of −2, $$\frac { 4 }{ -5 }$$, $$\frac { -11 }{ 20 }$$, $$\frac { 3 }{ 4 }$$?
(a) $$\frac { 3 }{ 4 }$$ > −2 > $$\frac { -11 }{ 20 }$$ > $$\frac { 4 }{ -5 }$$
(b) $$\frac { 3 }{ 4 }$$ > $$\frac { -11 }{ 20 }$$ > $$\frac { 4 }{ -5 }$$ > −2
(c) $$\frac { 3 }{ 4 }$$ > $$\frac { 4 }{ -5 }$$ > −2 > $$\frac { -11 }{ 20 }$$
(d) $$\frac { 3 }{ 4 }$$ > $$\frac { 4 }{ -5 }$$ > $$\frac { -11 }{ 20 }$$ > −2

Answer: (b) $$\frac { 3 }{ 4 }$$ > $$\frac { -11 }{ 20 }$$ > $$\frac { 4 }{ -5 }$$ > −2

Question 39.
Which of the following is not a rational number(s)?
(a) $$\frac { -2 }{ 9 }$$
(b) $$\frac { 4 }{ -7 }$$
(c) $$\frac { -3 }{ -17 }$$
(d) $$\frac { \sqrt { 2 } }{ 3 }$$

Answer: (d) $$\frac { \sqrt { 2 } }{ 3 }$$

Question 40.
Write the rational number whose numerator is 4 × (– 7) and denominator is (3 –7) × (15 – 11).
(a) $$\frac { 16 }{ 28 }$$
(b) $$\frac { 8 }{ 13 }$$
(c) $$\frac { 13 }{ 8 }$$
(d) $$\frac { 28 }{ 16 }$$

Answer: (d) $$\frac { 28 }{ 16 }$$

Question 41.
The reciprocal of – 5 is ________
(a) 5
(b) -5
(c) $$\frac { -1 }{ 5 }$$
(d) None of these

Answer: (c) $$\frac { -1 }{ 5 }$$

Match the following:

Question 1.

 1. $$\frac{- 45}{30}$$ a. $$\frac{1}{2}$$ 2. $$\frac{36}{- 24}$$ b. $$\frac{- 3}{2}$$ 3. $$\frac{- 3}{- 15}$$ c. $$\frac{3}{- 2}$$ 4. $$\frac{1}{2}$$ d. $$\frac{1}{5}$$

 1. $$\frac{- 45}{30}$$ b. $$\frac{- 3}{2}$$ 2. $$\frac{36}{- 24}$$ c. $$\frac{3}{- 2}$$ 3. $$\frac{- 3}{- 15}$$ d. $$\frac{1}{5}$$ 4. $$\frac{1}{2}$$ a. $$\frac{1}{2}$$

 1. $$\frac{- 4}{7}$$ a. – 1 2. 1 b. $$\frac{4}{7}$$ 3. $$\frac{- 3}{- 5}$$ c. $$\frac{- 3}{7}$$ 4. $$\frac{3}{7}$$ d. $$\frac{- 3}{5}$$

 1. $$\frac{- 4}{7}$$ b. $$\frac{4}{7}$$ 2. 1 a. – 1 3. $$\frac{- 3}{- 5}$$ d. $$\frac{- 3}{5}$$ 4. $$\frac{3}{7}$$ c. $$\frac{- 3}{7}$$

Say true or false:

Question 1.
0, 2, 3, 4 … by including 0 to natural numbers, we get whole number.

Question 2.
….-3, -2, -1, 0, 1, 2, 3 … integers.

Question 3.
$$\frac{p}{0}$$ is a rational number.

Question 4.
The word ‘rational’ caries from the term ‘ratio’.

Question 5.
The number 0 is neither a positive nor a negative rational number.

Question 6.
A positive rational number is to the right of zero on number line.

Question 7.
A negative rational number is to the left of zero on the number line.

Question 8.
We can find limited number of rational numbers between any two numbers.

Question 9.
$$\frac{1}{3}$$ and $$\frac{- 1}{9}$$ represent the same rational numbers.

Question 10.
$$\frac{- 2}{9}$$ is a negative rational number.

Fill in the blanks:

1. A ____________ is defined as a number that can be expressed in the form $$\frac{p}{q}$$

2. Rational numbers include _____________ and _____________

3. A rational number is called a positive rational number if both ___________ and ___________ are positive.

4. A rational number is called a ____________ if either numerator or denominator is negative.

5. The number 0 is neither a ____________ nor a _____________. rational number.

6. If 1 is the only common factor between the numerator and denominator then rational number is called in the

7. To reduce the rational number to its standard form, we divide its numberator and denominator by their ………….

8. A negative rational number is to the _________ of zero whereas a positive rational number is to the __________ of zero on a number line.

9. We can find _________ number of rational numbers between any two rational numbers.

fill in the box with correct symbol <,>,and =

10. $$\frac{- 5}{7}$$ ▢ $$\frac{2}{3}$$

11. $$\frac{- 4}{5}$$ ▢ $$\frac{- 5}{7}$$

12. $$\frac{- 7}{8}$$ ▢ $$\frac{14}{- 16}$$

13. $$\frac{- 8}{5}$$ ▢ $$\frac{- 7}{5}$$

14. $$\frac{1}{3}$$ ▢ $$\frac{- 1}{4}$$

15. To multiply two rational numbers we multiply their ________ and ___________ separately.