Which of the following rational number is positive?
- A$\frac{-8}{7}$
- B$\frac{19}{-13}$
- ✓$\frac{-3}{-4}$
- D$\frac{-21}{13}$
Answer: C.
View full solution →Question types
Rational Numbers question types
159 questions across 8 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
159
Questions
8
Question groups
5
Question types
01
M.C.Q. [1 Marks Each]
20 Q→02Assertion (A) & Reason (B) MCQ
3 Q→03True False[1 Marks ]
5 Q→04BLANKS [1 Marks Each]
5 Q→051 Marks Question
69 Q→062 Marks Questions
53 Q→075 Marks Questions
2 Q→08Match the following.
2 Q→Sample Questions
Rational Numbers questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
The simplified value of $2 \frac{1}{4} \times 2 \frac{1}{4}÷4 \frac{1}{2}$ is
- A$1 \frac{1}{7}$
- ✓$1 \frac{1}{8}$
- C$\frac{9}{11}$
- D$\frac{13}{15}$
Answer: B.
View full solution →To reduce a rational number to its standard form, we divide its numerator and denominator by their
- ALCM
- ✓HCF
- Cproduct
- Dmultiple
Answer: B.
View full solution →The standard form of $-\frac{32}{40}$ is
- A$\frac{-32}{40}$
- ✓$\frac{-4}{5}$
- C$\frac{4}{-5}$
- D$\frac{32}{-40}$
Answer: B.
View full solution →Which of the following is equivalent to $\frac{4}{5}$ ?
- A$\frac{5}{4}$
- B$\frac{16}{25}$
- ✓$\frac{16}{20}$
- D$\frac{15}{25}$
Answer: C.
View full solution →Assertion (A) Reciprocal of $-1 \frac{2}{3}$ is $\frac{3}{-5}$.
Reason (R) The non-zero numbers whose product is 1 , are reciprocals.
Reason (R) The non-zero numbers whose product is 1 , are reciprocals.
- ✓Both A and R are true and R is the correct explanation of $A$.
- BBoth A and R are true but R is not the correct explanation of A .
- CA is true but R is false.
- DA is false but R is true.
Answer: A.
View full solution →Assertion (A) $\frac{-5}{9} \times \frac{3}{10}=\frac{-1}{6}$
Reason (R) Sign of greater among $\frac{5}{9}$ and $\frac{3}{10}$ is negative, then the product must be negative.
Reason (R) Sign of greater among $\frac{5}{9}$ and $\frac{3}{10}$ is negative, then the product must be negative.
- ABoth A and R are true and R is the correct explanation of $A$.
- BBoth A and R are true but R is not the correct explanation of A .
- ✓A is true but R is false.
- DA is false but R is true.
Answer: C.
View full solution →Assertion (A) For two rational numbers $\frac{a}{b}$ and $\frac{c}{d}, \frac{a}{b}+\frac{c}{d}$ is also rational number.
Reason ( $R$ ) There are no two rational numbers whose sum is not a rational number.
Reason ( $R$ ) There are no two rational numbers whose sum is not a rational number.
- ✓Both A and R are true and R is the correct explanation of $A$.
- BBoth A and R are true but R is not the correct explanation of A .
- CA is true but R is false.
- DA is false but R is true.
Answer: A.
View full solution →Two rational numbers with different numerators can be equal.
Every natural number is a rational number but every rational number need not be a natural number.
$\frac{24}{64}\div\frac{6}{16}=\frac{4}{7}$.
View full solution →The rational numbers $\frac{-12}{-5}$ and $\frac{-7}{17}$ are on the opposite sides of zero on the number line.
View full solution →The quotient of two rational numbers is always a rational number.
On a number line, $\frac{4}{3}$ is to the ____________ of zero (0).
View full solution →$4 \frac{4}{5}÷\frac{24}{5}+8 \frac{1}{4}=$ ____________ .
View full solution →$\frac{-6}{7}=\frac{}{42}$
View full solution →$\frac{-5}{3} \times\left(\frac{-3}{5}\right)=$ ____________ .
View full solution →The standard form of $\frac{18}{-24}$ is ____________ .
View full solution →Find
$\frac{-6}{7} \times \frac{5}{7}$
View full solution →$\frac{-6}{7} \times \frac{5}{7}$
Find
$\frac{2}{3} \times \frac{-7}{8}$
View full solution →$\frac{2}{3} \times \frac{-7}{8}$
What will be the reciprocal of
$\frac{-8}{5}$ ?
View full solution →$\frac{-8}{5}$ ?
What will be the reciprocal of
$\frac{-6}{11}$ ?
View full solution →$\frac{-6}{11}$ ?
Find
$\frac{2}{3} \times \frac{-5}{9}$
View full solution →$\frac{2}{3} \times \frac{-5}{9}$
Find
$\frac{7}{9}-\frac{2}{5}$
View full solution →$\frac{7}{9}-\frac{2}{5}$
Find
$\frac{-3}{7}+\frac{2}{3}$
View full solution →$\frac{-3}{7}+\frac{2}{3}$
Find the standard form of
$\frac{-18}{45}$
View full solution →$\frac{-18}{45}$
Find the value of :
$\frac{3}{13}÷\left(\frac{-4}{65}\right)$
View full solution →$\frac{3}{13}÷\left(\frac{-4}{65}\right)$
Find the value of :
$\frac{-7}{12}÷\left(\frac{-2}{13}\right)$
View full solution →$\frac{-7}{12}÷\left(\frac{-2}{13}\right)$
The points $P, Q, R, S, T, U, A$ and $B$ on the number line are such that $T R=R S=S U$ and $A P=P Q=Q B$. Name the rational numbers represented by $P, Q, R$ and $S$.
View full solution →Taking x = $\frac{-4}{9}$,y =$\frac{5}{12}$ and z= $\frac{7}{18}$, find
(i) the rational number, which when added to x gives y.
(ii) the rational number, which when subtracted from y gives z.
(iii) the rational number, which when added to z gives us x.
(iv) the rational number, which when multiplied by y gives x.
(v) the reciprocal of x + y
(vi) the sum of reciprocals of x and y.
(vii) (x ÷ y) x z
(viii) (x - y) + z
(ix) x + (y + z)
(x) x ÷ (y ÷ z)
(xi) x - (y + z)
View full solution →(i) the rational number, which when added to x gives y.
(ii) the rational number, which when subtracted from y gives z.
(iii) the rational number, which when added to z gives us x.
(iv) the rational number, which when multiplied by y gives x.
(v) the reciprocal of x + y
(vi) the sum of reciprocals of x and y.
(vii) (x ÷ y) x z
(viii) (x - y) + z
(ix) x + (y + z)
(x) x ÷ (y ÷ z)
(xi) x - (y + z)
Match the Column A with Column B.
View full solution →| Column A | Column B |
| (i) $\frac{a}{b} \div \frac{a}{b}$ | (a) $\frac{-a}{b}$ |
| (ii) $\frac{a}{b} \div \frac{c}{d}$Z | (b) -1 |
| (iii) $\frac{a}{b} \div(-1)$ | (c) 1 |
| (iv) $\frac{a}{b} \div \frac{-a}{b}$ | (d) $\frac{a d}{b c}$ |
Match the Column A with Column B.
View full solution →| Column A | Column B |
| (i) $\frac{2}{6}+\frac{4}{6}$ | (a) $\frac{37}{81}$ |
| (ii) $\frac{2}{8}-\frac{1}{4}$ | (b) $\frac{9}{32}$ |
| (iii) $4 \frac{1}{9} \times \frac{1}{9}$ | 1 |
| (iv) $\left(\frac{7}{21}\div\frac{8}{3}\right)\div\frac{4}{9}$ | 0 |
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