Rational Numbers Test

Result

Rational Numbers Test - 12

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

A rational number equivalent to $$ \displaystyle \frac{-5}{-3} $$ is -

A
$$ \displaystyle \frac{25}{15} $$

B
$$ \displaystyle \frac{-15}{25} $$

C
$$ \displaystyle \frac{-25}{18} $$

D
None of these

Solution

$$ \displaystyle \frac{-5}{-3} $$= $$ \displaystyle \frac{-5}{-3} \times \displaystyle \frac{-5}{-5} $$= $$ \displaystyle \frac{25}{15} $$
Question 2
1 / -0

Which of the following is not a rational number?

A
$$\dfrac {0}{1}$$

B
$$\dfrac {1}{0}$$

C
$$\dfrac {0}{3}$$

D
$$\dfrac {0}{2}$$

Solution

A number of the form $$\dfrac {p}{q}$$, where $$'p'$$ and $$'q'$$ are any integers and $$q\neq 0$$ is called a rational number.
$$\therefore \dfrac {1}{0}$$ is not a rational number because it is not defined.
Question 3
1 / -0

Which of the following number lines, represents rational numbers?

A

B

C

D
All of the above
Question 4
1 / -0

There exists ....... number of rational numbers between $$\dfrac {2}{5}$$ and $$\dfrac {4}{5}.$$

A
$$0$$

B
$$1$$

C
$$5$$

D
infinite

Solution

There exists infinite number of rational numbers between any two rational numbers. i.e. in this case between $$\dfrac {2}{5}$$ and $$\dfrac {4}{5}$$.
Question 5
1 / -0

Which of the following rational numbers lies between $$0$$ and $$-1$$?

A
$$0$$

B
$$-1$$

C
$$\dfrac {-1}{4}$$

D
$$\dfrac {1}{4}$$

Solution

Clearly, $$0$$ and $$-1$$ cannot lie between $$0$$ and $$-1$$.
Also,
$$0=\dfrac{0}{4}$$ and $$-1=\dfrac{-4}{4}$$
We can clearly see that $$\dfrac {-1}{4}$$ lies between $$0$$ and $$-1$$.
Question 6
1 / -0

Which of the following rational numbers lies between $$\dfrac {3}{2}$$ and $$4$$ ?

A
$$\dfrac {1}{2}$$

B
$$3$$

C
$$\dfrac {8}{2}$$

D
$$\dfrac {9}{2}$$

Solution

We have to find a rational number between $$\dfrac {3}{2}$$ and $$4$$. The L.C.M. of the denominators of both numbers is $$2$$.
$$\therefore \dfrac {3}{2} = \dfrac {3}{2}$$ and $$4\times \dfrac {2}{2} = \dfrac {8}{2}$$.
$$\therefore$$ From the above given options, only $$\dfrac {6}{2}$$
i.e. $$=3$$ lies between $$\dfrac {3}{2}$$ and $$4$$.
Question 7
1 / -0

$$5$$ is a rational number. It can be written as ..........

A
$$\dfrac {5}{1}$$

B
$$\dfrac {1}{5}$$

C
$$\dfrac {5}{5}$$

D
$$\dfrac {5}{25}$$

Solution

Rational numbers are defined as all the numbers of the form $$\dfrac {p}{q}$$ where $$q\neq 0$$.

$$5$$ being a natural number can be written as $$\dfrac {5}{1}$$. A natural number is a rational number.
Therefore, $$A$$ is the correct answer.
Question 8
1 / -0

What are rational numbers?

A
A number of the form $$\dfrac {p}{q}$$ where $$p$$ and $$q$$ are any positive integers and $$q\neq 0$$ is called a rational number.

B
A number of the form $$\dfrac {p}{q}$$ where $$p$$ and $$q$$ are any negative integers and $$q\neq 0$$ is called a rational number.

C
A number of the form $$\dfrac {p}{q}$$ where $$p$$ and $$q$$ are integers is called a rational number.

D
A number of the form $$\dfrac {p}{q}$$ where $$p$$ and $$q$$ are any integers and $$q\neq 0$$ is called a rational number.

Solution

A number of the form $$\dfrac {p}{q}$$ where $$p$$ and $$q$$ are any integers and $$q\neq 0$$ is called a rational number.

Ex:- Consider $$\dfrac{2}{3}$$ here $$2,3$$ are co-primes so the number $$\dfrac{2}{3}$$ is a rational number
Question 9
1 / -0

The number $$\dfrac {13}{15}$$ is correctly represented on number line

A

B

C

D

Solution

To represent $$\dfrac{13}{15}$$ on a number line, divide the space from $$0$$ to $$1$$ in $$15$$ equal parts
The thirteenth part will represent a rational number $$\dfrac{13}{15}$$.
As we can see, $$\dfrac{11}{15}$$ come after $$\dfrac{10}{15}$$, then $$\dfrac{12}{15}$$ and then $$\dfrac{13}{15}$$.
Hence, the above line is the correct representation of $$\dfrac{13}{15}$$
Question 10
1 / -0

Which set of rational numbers is arranged in ascending order?

A
$$-\displaystyle\frac{5}{14}, -\frac{25}{28}, -\frac{3}{7}, -\frac{1}{2}$$

B
$$-\displaystyle\frac{25}{28}, \frac{-5}{14}, \frac{-3}{7}, -\frac{1}{2}$$

C
$$-\displaystyle\frac{25}{28}, -\frac{1}{2}, -\frac{3}{7}, -\frac{5}{14}$$

D
$$-\displaystyle\frac{1}{2}, \frac{-3}{7}, \frac{-5}{14}, \frac{-25}{28}$$

Solution

$$-\dfrac{1}{2} = -\dfrac{14}{28}$$

$$-\dfrac{3}{7} = -\dfrac{12}{28}$$

$$-\dfrac{5}{14} = -\dfrac{10}{28}$$

$$\therefore$$ Ascending order $$: -\dfrac{25}{28} , -\dfrac{1}{2} , -\dfrac{3}{7} , -\dfrac{5}{14}$$