CBSE Questions for Class 8 Maths Rational Numbers Quiz 7 - MCQExams.com

Fill in the blank: $$\left [\dfrac {6}{5}\times \left (\dfrac {-2}{12}\right )\right ] + \left [\dfrac {6}{5} \times \dfrac {4}{12}\right ] = \dfrac {6}{5}\times \left [..... + \dfrac {4}{12}\right ]$$
  • $$\left (\dfrac {-2}{12}\right )$$
  • $$\left (\dfrac {-1}{12}\right )$$
  • $$-12$$
  • $$\dfrac {4}{12}$$
The value of $$\left [\dfrac {3}{4}\times \dfrac {4}{12}\right ] + \left [\dfrac {3}{4} \times \dfrac {-3}{9}\right ]$$ is
  • $$\dfrac {3}{4}$$
  • $$0$$
  • $$1$$
  • $$\dfrac {1}{2}$$
If $$(81\div 9)\div 3=a$$ and $$81\div(9\div 3)=b$$, then which of the following is correct?
  • $$a=b$$
  • $$a>b$$
  • $$b>a$$
  • All of the above
Which of the following rational numbers lies between $$\dfrac {-4}{5}$$ and $$\dfrac {-7}{5}$$?
  • $$\dfrac {-36}{45}$$
  • $$\dfrac {-35}{45}$$
  • $$\dfrac {-39}{45}$$
  • $$\dfrac {-63}{45}$$
Find five rational numbers between $$1$$ and $$2.$$
  • $$\dfrac {1}{10}, \dfrac {2}{10}, \dfrac {3}{10}, \dfrac {4}{10}, \dfrac {5}{10}$$
  • $$\dfrac {1}{5}, \dfrac {2}{5}, \dfrac {3}{5}, \dfrac {4}{5}, \dfrac {5}{5}$$
  • $$\dfrac {1}{2}, \dfrac {1}{3}, \dfrac {1}{4}, \dfrac {1}{5}, \dfrac {1}{6}$$
  • $$\dfrac {8}{7}, \dfrac {9}{7}, \dfrac {10}{7}, \dfrac {11}{7}, \dfrac {12}{7}$$
Which of the following numbers lies between $$\dfrac {5}{24}$$ and $$\dfrac {3}{8}$$?
  • $$\dfrac {7}{2}$$
  • $$1$$
  • $$\dfrac {7}{24}$$
  • $$0$$
The value of $$\left (\dfrac {5}{9}\times \dfrac {6}{11}\right ) + \left (\dfrac {1}{11}\times \dfrac {3}{9}\right )$$ is
  • $$\dfrac {1}{5}$$
  • $$\dfrac {1}{9}$$
  • $$\dfrac {1}{11}$$
  • $$\dfrac {1}{3}$$
Which of the following rational numbers lies between $$\dfrac {3}{4}$$ and $$\dfrac {13}{8}$$?
  • $$\dfrac {11}{16}$$
  • $$\dfrac {12}{16}$$
  • $$\dfrac {19}{16}$$
  • $$\dfrac {26}{16}$$
Fill in the blank: $$\dfrac {4}{7}\left (\dfrac {7}{15} - \dfrac {21}{4}\right ) = \dfrac {4}{7} \times \dfrac {7}{15} - ....\times \dfrac {4}{7}$$
  • $$\dfrac {4}{7}$$
  • $$\dfrac {21}{4}$$
  • $$\dfrac {-21}{4}$$
  • $$\dfrac {7}{15}$$
The value of $$\dfrac {1}{5} \left (\dfrac {15}{7} - \dfrac {20}{14}\right )$$ is
  • $$\dfrac {2}{7}$$
  • $$\dfrac {3}{7}$$
  • $$\dfrac {1}{7}$$
  • $$7$$
The value of $$8\times 2\dfrac {4}{5} + 8\times 3\dfrac {1}{5}$$ is
  • $$\dfrac {8}{5}$$
  • $$24$$
  • $$48$$
  • $$-48$$
The value of $$\dfrac {3}{5} \times \dfrac {35}{24} + \dfrac {10}{1}\times \dfrac {3}{5} $$ is
  • $$\dfrac {55}{8}$$
  • $$\dfrac {8}{55}$$
  • $$\dfrac {3}{5}$$
  • $$\dfrac {35}{8}$$
The value of $$2\dfrac {1}{2} \times 10 - 4\dfrac {1}{3} \times 10$$ is
  • $$\dfrac {3}{55}$$
  • $$\dfrac {-3}{55}$$
  • $$\dfrac {55}{3}$$
  • $$\dfrac {-55}{3}$$
The points $$A, B$$ and $$C$$ on the given number line represents

443454.png
  • $$\dfrac {-3}{10}, \dfrac {-1}{10}, \dfrac {3}{4}$$
  • $$\dfrac {-3}{10}, \dfrac {1}{10}, \dfrac {3}{4}$$
  • $$\dfrac {3}{10}, \dfrac {-1}{10}, \dfrac {-3}{4}$$
  • $$4, -1, 3$$
A rational number between $$\dfrac {-9}{10}$$ and $$\dfrac {4}{5}$$ is:
  • $$\left (\dfrac {-9}{10} + \dfrac {4}{5}\right ) \times \dfrac {1}{2}$$
  • $$\left (\dfrac {-9}{10} - \dfrac {4}{5}\right ) + \dfrac {1}{2}$$
  • $$\left (\dfrac {-9}{10} + \dfrac {4}{5}\right ) \times 2$$
  • All above are correct
Which of the following numbers lies between $$-1$$ and $$-2$$?
  • $$\dfrac {-1}{2}$$
  • $$\dfrac {-3}{2}$$
  • $$\dfrac {1}{2}$$
  • $$\dfrac {3}{2}$$
Which of the following represents a rational number between $$-6$$ and $$-7$$?
  • $$\dfrac {-6 - 7}{2}$$
  • $$\dfrac {-6 + 7}{2}$$
  • $$\dfrac {6 + 7}{2}$$
  • $$-6 - 7$$
The values of $$A$$ and $$B$$ represented on the number line are
443455.png
  • $$1, 1$$
  • $$-1, 1$$
  • $$1, -1$$
  • $$-1, -1$$
Which of the following rational number lies between $$\dfrac {4}{9}$$ and $$\dfrac {4}{5}$$?
  • $$-1$$
  • $$\dfrac {28}{45}$$
  • $$0$$
  • $$1$$
State whether the statements are true (T) or false (F).
The rational number $$\dfrac{7}{-4}$$ lies to the right zero on the number line.
  • True
  • False
Which number is represented by $$A$$, in the following number line?
443451.png
  • $$13$$
  • $$\dfrac {6}{13}$$
  • $$6$$
  • $$\dfrac {0}{13}$$
Which number is represented by $$x$$, in the given number line?
443449.png
  • $$-1$$
  • $$1$$
  • $$0$$
  • $$3$$
What rational number lies exactly halfway between $$\dfrac{2}{3}$$ and $$\dfrac{3}{4}$$?
  • $$\dfrac{3}{5}$$
  • $$\dfrac{5}{6}$$
  • $$\dfrac{7}{12}$$
  • $$\dfrac{9}{16}$$
  • $$\dfrac{17}{24}$$
Identify a rational number between $$\dfrac {1}{3}$$ and $$\dfrac {4}{5}$$
  • $$\dfrac {1}{4}$$
  • $$\dfrac {9}{10}$$
  • $$\dfrac {17}{30}$$
  • $$\dfrac {7}{10}$$
Subtract the additive inverse of $$\dfrac {5}{6}$$ from the multiplicative inverse of $$\dfrac {-5}{7}\times \dfrac {14}{15}$$.
  • $$\dfrac {3}{2}$$
  • $$\dfrac {-2}{3}$$
  • $$\dfrac {-3}{2}$$
  • $$\dfrac {2}{3}$$
An illustration of the associative law for multiplication is given by
  • $$\left (\dfrac{1}{3}\times 5\right)\times 8=\dfrac{1}{3}\times (5\times 8)$$
  • $$\dfrac{1}{3}\times 5\times 8=\dfrac{1}{3}\times 8\times 5$$
  • $$\dfrac{1}{3}\times 5+\dfrac{1}{3}\times 8=\dfrac{1}{3}\times 13$$
  • $$\dfrac{1}{3}\times 5\times 8=\left (\dfrac{1}{3}\times 5\right)\times \left (\dfrac{1}{3}\times 8\right)$$
  • none of these
Identity the rational number that does not lie between  $$ \cfrac{3}{5}$$ and $$ \cfrac{2}{3}$$.
  • $$ \cfrac{46}{75}$$
  • $$ \cfrac{47}{75}$$
  • $$ \cfrac{49}{75}$$
  • $$ \cfrac{50}{75}$$
Given that $$Q$$ is a rational number:
(i) Difference of two $$Q$$s is $$Q$$.
(ii) Subtraction is commutative on $$Q$$.
(iii) Addition is not commutative on $$Q$$.
Which option is wrong?
  • (ii) and (iii)
  • (i) only
  • (i) and (iii)
  • All the above
The property under addition used in each of the following are
(i) $$\left (\dfrac {-3}{7}\right ) + \dfrac {1}{9} = \dfrac {1}{9} + \left (\dfrac {-3}{7}\right )$$
(ii) $$\dfrac {4}{9} + \left (\dfrac {7}{8} + \dfrac {1}{2}\right ) = \left (\dfrac {4}{9} + \dfrac {7}{8}\right ) + \dfrac {1}{2}$$
(iii) $$8 + \dfrac {7}{10} = \dfrac {7}{10} + 8$$
(iv) $$\left (\dfrac {-7}{15}\right ) + 0 = \dfrac {-7}{15} = 0 + \left (\dfrac {-7}{15}\right )$$
(v) $$\dfrac {2}{5} + \left (\dfrac {-2}{5}\right ) = 0$$

(i) Commutative
(ii) Associative
(iii) Commutative
(iv) Additive identity
(v) Additive inverse.
  • True
  • False
A rational number lie between $$\displaystyle\frac{1}{4}$$ and $$\displaystyle\frac{1}{3}$$ is _________.
  • $$\displaystyle\frac{7}{24}$$
  • $$\displaystyle\frac{15}{48}$$
  • $$\displaystyle\frac{13}{48}$$
  • All of these
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