Sample QuestionsRational Numbers questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Mark $(\checkmark)$ against the correct answer in the following: $\frac{55}{-66}$ in standard form is :
- A
$\frac{5}{-6}$
- ✓
$\frac{-5}{6}$
- C
$\frac{-55}{66}$
- D
Answer: B.
View full solution →Mark $(\checkmark)$ against the correct answer in the following: What should be added to $\frac{-5}{9}$ to get $1?$
- A
$\frac{4}{9}$
- B
$\frac{-4}{9}$
- ✓
$\frac{14}{9}$
- D
$\frac{-14}{9}$
Answer: C.
View full solution →Mark $(\checkmark)$ against the correct answer in the following: $0\div\frac{-7}{5}=?$
- A
- B
$\frac{-5}{7}$
- ✓
$0$
- D
$\frac{5}{7}$
Answer: C.
View full solution →Mark $(\checkmark)$ against the correct answer in the following: Which is greater between $\frac{-4}{9}$ and $\frac{-5}{12}$ ?
- ✓
$\frac{-4}{9}$
- B
$\frac{-5}{12}$
- C
- D
Answer: A.
View full solution →Mark $(\checkmark)$ against the correct answer in the following: $1\div\frac{1}{2}=?$
- A
$\frac{1}{2}$
- B
$2$
- C
$2\frac{1}{2}$
- ✓
$1\frac{1}{2}$
Answer: D.
View full solution →Assertion (A): $\frac{-3}{2} \times \frac{7}{-5}=\frac{21}{10}$.
Reason ( R ): Product of two rational numbers $=\frac{\text { product of their numerators }}{\text { product of their denominators }}$.
- ✓
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- B
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation
of Assertion (A).
- C
Assertion (A) is true but Reason (R) is false.
- D
Assertion (A) is false but Reason (R) is true.
Answer: A.
View full solution →Assertion (A): The rational number $\frac{-32}{-40}$ expressed in standard form is $\frac{4}{5}$.
Reason (R): A rational number $\frac{p}{q}$ is said to be in standard form if $p$ and $q$ are both positive and $p$ and $q$ have no common divisor other than 1.
- A
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- B
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation
of Assertion (A).
- ✓
Assertion (A) is true but Reason (R) is false.
- D
Assertion (A) is false but Reason (R) is true.
Answer: C.
View full solution →Assertion (A): $\frac{4}{-7}$ and $\frac{-4}{7}$ are equivalent rational numbers.
Reason (R) : Two rational numbers are said to be equivalent if one can be obtained by multiplying or dividing the numerator and the denominator of the other by the same nonzero number.
- ✓
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- B
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation
of Assertion (A).
- C
Assertion (A) is true but Reason (R) is false.
- D
Assertion (A) is false but Reason (R) is true.
Answer: A.
View full solution →Assertion (A): $\frac{-7}{-2}$ is a negative rational number.
Reason (R) : A rational number is said to be positive if its numerator and denominator are either both positive or both negative.
- A
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- B
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation
of Assertion (A).
- C
Assertion (A) is true but Reason (R) is false.
- ✓
Assertion (A) is false but Reason (R) is true.
Answer: D.
View full solution →Assertion (A): $\frac{-8}{3}$ is a rational number.
Reason (R) : Every integer is a rational number.
- A
Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- ✓
Both Assertion (A) and Reason (R) are true and Reason (R) is not the correct explanation
of Assertion (A).
- C
Assertion (A) is true but Reason (R) is false.
- D
Assertion (A) is false but Reason (R) is true.
Answer: B.
View full solution →$\frac{-5}{-8}$ lies on the right of $\frac{-5}{7}$ on the number line.
View full solution →$\frac{-3}{5}$ lies to the left of 0 on the number line.
View full solution →$\frac{-18}{-13}$ lies to the left of 0 on the number line.
View full solution →$\frac{1}{3}\text{ and }\frac{-5}{2}$ lie on opposite sides of 0 on the number line.
View full solution →$\frac{-12}{7}$ lies to the right of 0 on the number line.
View full solution →$\frac{9}{8}\div(\dots)=\frac{-3}{2}$
View full solution →$(\dots)\div\Big(\frac{-7}{5}\Big)=\frac{10}{19}$
View full solution →$(\dots)\div(-3)=\frac{-4}{15}$
View full solution →$(-12)\div(\dots)=\frac{-6}{5}$
View full solution →$(\dots)+\Big(\frac{-7}{5}\Big)=\frac{-2}{3}$
View full solution →Which of the two rational numbers is greater in the following pairs? $\frac{-3}{5}\text{ or }0$
View full solution →Multiply: $\frac{9}{8}\text{ by }\frac{32}{3}$
View full solution →Fill n the blank: $(\dots)\div\Big(\frac{-7}{5}\Big)=\frac{10}{19}$
View full solution →Fill in the blank: Multiplicative inverse of $-1\frac{3}{4}$ is ....
View full solution →Which of the following are rational number? $-3$
View full solution →Add the following rational numbers: $\frac{3}{-8}\text{ and }\frac{1}{8}$
View full solution →Find x such that: $\frac{-1}{5}=\frac{8}{\text{x}}$
View full solution →Which of the following are pairs of equivalent rational number? $\frac{9}{4},\frac{-36}{16}$
View full solution →What should be added to $\frac{-5}{7}$ to get $\frac{-2}{3}?$
View full solution →How many pieces, each of length $3\frac{3}{4}\text{m}$ can be cut from a rope of length $45m?$
View full solution →Arrange the following rational numbers in ascending order:
$\frac{2}{5},\frac{7}{10},\frac{8}{15},\frac{13}{30}$
View full solution →Simplify: $\frac{-11}{39}+\frac{5}{26}+\frac{2}{1}$
View full solution →Evaluate: $\frac{-16}{9}+\frac{-5}{12}+\frac{7}{18}$
View full solution →Simplify: $-1+\frac{7}{9}+\frac{11}{12}$
View full solution →Arrange the following rational numbers in ascending order: $\frac{-3}{4},\frac{5}{-12},\frac{-7}{16},\frac{9}{-24}$
View full solution →Which of the two rational numbers is greater in the following pairs? $\frac{9}{-13}\text{ or }\frac{7}{-12}$
View full solution →Evaluate: $\frac{-5}{-8}-\frac{-3}{4}$
View full solution →What should be added to $\Big(\frac{-13}{4}+\frac{-3}{8}\Big)$
View full solution →By what number should $\frac{-44}{9}$ be divided to get $\frac{-11}{3}?$
View full solution →Find five rational numbers between $-3$ and $-2.$
View full solution →