Between two given rational numbers, we can find:
- AOne and only one rational number.
- BOnly two rational numbers.
- COnly ten rational numbers.
- ✓Infinitely many rational numbers.
Answer: D.
View full solution →Question types
Rational Numbers question types
180 questions across 6 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
180
Questions
6
Question groups
5
Question types
01
M.C.Q. [1 Marks Each]
25 Q→02TRUE-FLASE [1 Marks Each]
1 Q→032 Marks Questions
37 Q→043 Marks Question
13 Q→055 Marks Questions
7 Q→061 Marks Question
97 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 numerical expression $\frac{3}{8}+\frac{(-5)}{7}=\frac{-19}{56}$ shows that:
- ARational numbers are closed under addition.
- ✓Rational numbers are not closed under addition.
- CRational numbers are closed under multiplication.
- DAddition of rational numbers is not commutative.
Answer: B.
View full solution →The reciprocal of $\frac{-3}{8}\times\Big(\frac{-7}{13}\Big)$ is:
- ✓$\frac{104}{21}$
- B$\frac{-104}{21}$
- C$\frac{21}{104}$
- D$\frac{-21}{104}$
Answer: A.
View full solution →The multiplicative inverse of $-1\frac{1}{7}$ is:
- A$\frac{8}{7}$
- B$\frac{-8}{7}$
- C$\frac{7}{8}$
- ✓$\frac{7}{-8}$
Answer: D.
View full solution →To get the product $1$, we should multiply $\frac{8}{21}$ by:
- A$\frac{8}{21}$
- B$\frac{-8}{21}$
- ✓$\frac{21}{8}$
- D$\frac{-21}{8}$
Answer: C.
View full solution →$0$ is the smallest rational number.
View full solution →The cost of $\frac{19}{4}$ metres of wire is $\text{Rs}.\frac{171}{2}.$ Find the cost of one metre of the wire.
View full solution →Use the distributivity of multiplication of rational numbers over addition to simplify. $\frac{3}{5}\times\Big[\frac{35}{24}+\frac{10}{1}\Big]$
View full solution →The product of two rational numbers is $-7$. If one of the number is $-5$, find the other?
View full solution →By what numbers should we multiply $\frac{-15}{20}$ so that the product may be $\frac{-5}{7}?$
View full solution →Verify the property $x × y = y × z$ of rational numbers by using: $\text{x}=\frac{2}{3}$ and $\text{y}=\frac{9}{4}$
View full solution →Write the following rational numbers in the descending order.
$\frac{8}{7},\frac{-9}{8},\frac{-3}{2},0,\frac{2}{5}$
View full solution →$\frac{8}{7},\frac{-9}{8},\frac{-3}{2},0,\frac{2}{5}$
$\frac{2}{5}$ of total number of students of a school come by car while $\frac{1}{4}$ of students come by bus to school. All the other students walk to school of which $\frac{1}{3}$ walk on their own and the rest are escorted by their parents. If $224$ students come to school walking on their own, how many students study in that school?
View full solution →Verify the property $x \times (y + z) = x \times y + x \times z$ of rational numbers by taking. $\text{x}=\frac{-2}{3},\ \text{y}=\frac{-4}{6},\ \text{z}=\frac{-7}{9}$
View full solution →Verify the property $x \times (y + z) = x \times y + x \times z$ of rational numbers by taking. $\text{x}=\frac{-1}{5},\ \text{y}=\frac{2}{15},\ \text{z}=\frac{-3}{10}$
View full solution →Verify the property $x \times (y + z) = x \times y + x \times z$ of rational numbers by taking. $\text{x}=\frac{-1}{2},\ \text{y}=\frac{2}{3},\ \text{z}=\frac{3}{4}$
View full solution →The table given below shows the distances, in kilometres, between four villages of a state. To find the distance between two villages, locate the square where the row for one village and the column for the other village intersect. 
$a.$ Compare the distance between Himgaon and Rawalpur to Sonapur and Ramgarh?
$b.$ If you drove from Himgaon to Sonapur and then from Sonapur to Rawalpur, how far would you drive?
View full solution →$a.$ Compare the distance between Himgaon and Rawalpur to Sonapur and Ramgarh?
$b.$ If you drove from Himgaon to Sonapur and then from Sonapur to Rawalpur, how far would you drive?
The average life expectancies of males for several states are shown in the table. Express each decimal in the form $\frac{\text{p}}{\text{q}}$ and arrange the states from the least to the greatest male life expectancy.State-wise data are included below; more indicators can be found in the $“FACTFILE”$ section on the homepage for each state.
|
State
|
Male
|
$\frac{\text{p}}{\text{q}}$ form
|
Lowest terms
|
|
Andhra Pradesh
|
$61.6$
|
|
|
|
Assam
|
$57.1$
|
|
|
|
Bihar
|
$60.7$
|
|
|
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Gujarat
|
$61.9$
|
|
|
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Haryana
|
$64.1$
|
|
|
|
Himachal Pradesh
|
$65.1$
|
|
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Karnataka
|
$62.4$
|
|
|
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Kerala
|
$70.6$
|
|
|
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Madhya Pradesh
|
$56.5$
|
|
|
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Maharashtra
|
$64.5$
|
|
|
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Orissa
|
$57.6$
|
|
|
|
Punjab
|
$66.9$
|
|
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Rajasthan
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$59.8$
|
|
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Tamil Nadu
|
$63.7$
|
|
|
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Uttar Pradesh
|
$58.9$
|
|
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West Bengal
|
$62.8$
|
|
|
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India
|
$60.8$
|
|
The overall width in cm of several wide-screen televisions are $97.28\text{cm}\ ,98\frac{4}{9}\text{cm},\ 98\frac{1}{25}\text{cm}$ and $97.94\text{cm}.$ Express these numbers as rational numbers in the form $\frac{\text{p}}{\text{q}}$ and arrange the widths in ascending order.
View full solution →Here is a table which gives the information about the total rainfall for several months compared to the average monthly rains of a town. Write each decimal in the form of rational number $\frac{\text{p}}{\text{q}}.$
View full solution →|
Month
|
Above/ Below normal $($ in $cm)$
|
|
May
|
$2.6924$
|
|
June
|
$0.6096$
|
|
July
|
$-6.9088$
|
|
August
|
$-8.636$
|
The table shows the portion of some common materials that are recycled.
$a.$ Is the rational number expressing the amount of paper recycled more than $\frac{1}{2}$ or less than $\frac{1}{2}?$
$b.$ Which items have a Recycled amount less than $-\frac{1}{2}?$
$c.$ Is the quantity of aluminium cans recycled more $($ or less$)$ than half of the quantity of aluminium cans?
$d.$ Arrange the rate of recycling the materials from the greatest to the smallest.
View full solution →| Material | Recycled |
| Paper | $\frac{5}{11}$ |
| Aluminium cans | $\frac{5}{8}$ |
| Glass | $\frac{2}{5}$ |
| Scrap | $\frac{3}{4}$ |
$b.$ Which items have a Recycled amount less than $-\frac{1}{2}?$
$c.$ Is the quantity of aluminium cans recycled more $($ or less$)$ than half of the quantity of aluminium cans?
$d.$ Arrange the rate of recycling the materials from the greatest to the smallest.
Name the property used in each of the following. $\frac{3}{8}\times1=1\times\frac{3}{8}=\frac{3}{8}$
View full solution →Find the multiplicative inverse of: $-1\frac{1}{8}.$
View full solution →Name the property used in each of the following. $-\frac{2}{3}\times\Big[\frac{3}{4}+\frac{-1}{2}\Big]=\Big[\frac{-2}{3}\times\frac{3}{4}\Big]+\Big[\frac{-2}{3}\times\frac{-1}{2}\Big]$
View full solution →The multiplicative inverse of $\frac{-3}{5}$ is $\frac{5}{3}.$
View full solution →The negative of a negative rational number is always a _____ rational number.
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