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Rational Numbers Class 7 MCQs Questions 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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