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

Students are advised to solve Rational Numbers Multiple Choice Questions of Class 7 Maths to know different concepts. Practicing the MCQ Questions on Rational Numbers Class 7 with answers will boost your confidence thereby helping you score well in the exam.

Explore numerous MCQ Questions of Rational Numbers Class 7 with answers provided with detailed solutions by looking below.

Question 1.

Write denominator of given rational number : 5

(a) 1

(b) 0

(c) 3

(d) none of these

## Answer

Answer: (a) 1

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

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

## Answer

Answer: (a) Natural numbers

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

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

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

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

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

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

## Answer

Answer: (a) <

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

## Answer

Answer: (a) =

Both have same sign, numerator and denominator.

Question 11.

Write correct symbol 0 ▢ \(\frac{-7}{6}\)

(a) < (b) = (c) >

(d) none of these

## Answer

Answer: (c) >

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

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

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

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

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

## Answer

Answer: (c) -1

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

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

## Answer

Answer: (a) Positive rational number

Both numerator and denominator are positive.

Question 19.

\(\frac{- 5}{7}\) is :

(a) Positive rational number

(b) Negative rational number

(c) None of these

## Answer

Answer: (b) Negative rational number

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

## Answer

Answer: (a) Positive rational number

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

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

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

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

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

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

## Answer

Answer: (a) 0

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

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

## Answer

Answer: (b) rational 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

## Answer

Answer: (c) 1 and -1

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

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

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

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

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

## Answer

Answer: (a) 56

Question 35.

The rational number \(\frac { 9 }{ 1 }\) in integer is _____.

(a) 0

(b) 9

(c) -9

(d) 1

## Answer

Answer: (b) 9

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

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

Question 37.

Associative property is not followed in _____

(a) integers

(b) whole numbers

(c) rational numbers

(d) natural numbers

## Answer

Answer: (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

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

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

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

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. \(\frac{1}{5}\) |

## Answer

Answer:

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. \(\frac{1}{2}\) |

Question 2. Additive Inverse

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. \(\frac{- 3}{5}\) |

## Answer

Answer:

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.

## Answer

Answer: true

Question 2.

….-3, -2, -1, 0, 1, 2, 3 … integers.

## Answer

Answer: true

Question 3.

\(\frac{p}{0}\) is a rational number.

## Answer

Answer: false

Question 4.

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

## Answer

Answer: true

Question 5.

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

## Answer

Answer: true

Question 6.

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

## Answer

Answer: true

Question 7.

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

## Answer

Answer: true

Question 8.

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

## Answer

Answer: false

Question 9.

\(\frac{1}{3}\) and \(\frac{- 1}{9}\) represent the same rational numbers.

## Answer

Answer: false

Question 10.

\(\frac{- 2}{9}\) is a negative rational number.

## Answer

Answer: false

Fill in the blanks:

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

## Answer

Answer: rational number

2. Rational numbers include _____________ and _____________

## Answer

Answer: integers, fractions

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

## Answer

Answer: numerator, denominator

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

## Answer

Answer: negative rational number

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

## Answer

Answer: positive, negative

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

## Answer

Answer: standard form

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

## Answer

Answer: HCF

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

## Answer

Answer: left,right

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

## Answer

Answer: unlimited

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

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

## Answer

Answer: <

11. \(\frac{- 4}{5}\) ▢ \(\frac{- 5}{7}\)

## Answer

Answer: <

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

## Answer

Answer: =

13. \(\frac{- 8}{5}\) ▢ \(\frac{- 7}{5}\)

## Answer

Answer: <

14. \(\frac{1}{3}\) ▢ \(\frac{- 1}{4}\)

## Answer

Answer: >

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

## Answer

Answer: numerator, denominator

16. To divide one rational number by the _________ other non zero-rational number, we multiply the rational number by the of the other.

## Answer

Answer: reciprocal

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