Rational Numbers Test

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Rational Numbers Test - 20

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Weekly Quiz Competition

Question 1
1 / -0

Check if the following rational numbers are equivalent:

A
$$\dfrac{-12}{7},\ \dfrac{32}{21}$$

B
$$\dfrac{7}{3},\ \dfrac{84}{36}$$

C
$$\dfrac{-5}{21},\ \dfrac{50}{105}$$

D
$$\dfrac{31}{35},\ \dfrac{42}{43}$$

Solution

$$\frac{84\div12}{36\div12}$$ = $$\frac{7}{3}$$
Question 2
1 / -0

which of the following is the insertion of three fractions in between $$\frac{7}{{12}}$$ and $$\frac{9}{{10}}$$ ?

A
$$\frac{8}{{11}},\frac{{15}}{{28}},\frac{{17}}{{21}}$$

B
$$\frac{4}{9},\frac{{23}}{{25}},\frac{7}{{24}}$$

C
$$\frac{{11}}{{18}},\frac{5}{{12}},\frac{{17}}{{19}}$$

D
$$\frac{{8}}{{11}},\frac{15}{{23}},\frac{{17}}{{21}}$$

Solution
Question 3
1 / -0

Add the following rational numbers:
$$\dfrac{-5}{7}$$ and $$\dfrac{3}{7}$$

A
$$\dfrac {2}{7}$$

B
$$\dfrac {3}{7}$$

C
$$\dfrac {-2}{7}$$

D
$$\dfrac {-3}{7}$$

Solution

$$\dfrac{-5}{7}$$ and $$\dfrac{3}{7} =\dfrac{-5}{7} + \dfrac{3}{7} = \dfrac{-5+3}{7} = \dfrac{-2}{7}$$
Question 4
1 / -0

Which of the following rational numbers is positive?

A
$$-\dfrac{8}{7}$$

B
$$\dfrac{19}{-13}$$

C
$$\dfrac{-3}{-4}$$

D
$$\dfrac{-21}{12}$$

Solution

$$\Rightarrow \dfrac{-3}{-4}= \dfrac{3}{4}$$
The numerator and denominator both are negative, it will cancel out each other and gives a positive rational number.
Question 5
1 / -0

The two consecutive integers between which the fraction $$ \frac{5}{7} $$ lies are

A
5 and 6

B
0 and 1

C
5 and 7

D
6 and 7

Solution

Fundamental of fraction , when value of a numerator of a fraction is less than the value of denominator,always lies between $$ 0 $$ and $$ 1 $$
Therefore, $$ \dfrac {5}{7} $$ are lies between $$ 0 $$ and $$ 1 $$.
Question 6
1 / -0

Which of the following rational numbers is negative?

A
$$-\left(\dfrac{-3}{7}\right)$$

B
$$\dfrac{-5}{-8}$$

C
$$\dfrac{9}{8}$$

D
$$\dfrac{3}{-7}$$

Solution

$$(a) \Rightarrow -\left(\dfrac{-3}{7}\right)=\dfrac{3}{7}$$

$$(b) \Rightarrow \dfrac{-5}{-8}=\dfrac{5}{8}$$

$$(c) \Rightarrow \dfrac{9}{8}=\dfrac{9}{8}$$

$$(d) \Rightarrow \dfrac{3}{-7}=-\dfrac{3}{7}$$

$$\therefore -\dfrac{3}{7}$$ is a negative rational number.
Question 7
1 / -0

The reciprocal of $$\dfrac{1}{2}$$ is

A
$$3$$

B
$$2$$

C
$$-1$$

D
$$0$$

Solution

Reciprocal of Reciprocal of $$\dfrac{1}{2}$$
$$=\dfrac{1}{\dfrac{1}{2}}=2$$
Question 8
1 / -0

The reciprocal of $$1$$ is

A
$$1$$

B
$$-1$$

C
$$0$$

D
Not defined

Solution
Question 9
1 / -0

The reciprocal of $$-1$$ is

A
$$1$$

B
$$-1$$

C
$$0$$

D
Not defined

Solution
Question 10
1 / -0

A number of the form $$\dfrac{p}{q}$$ is said to be a rational number if

A
p and q are integers

B
p and q are integers and $$q \neq 0$$

C
p and q are integers and $$p \neq 0$$

D
p and q are integers and $$p \neq 0$$ also $$q \neq 0$$

Solution

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Re-Attempt Weekly Quiz Competition

Rational Numbers Test - 20

Result

Rational Numbers Test - 20

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SHARING IS CARING

Question 1

$$\dfrac{-12}{7},\ \dfrac{32}{21}$$

$$\dfrac{7}{3},\ \dfrac{84}{36}$$

$$\dfrac{-5}{21},\ \dfrac{50}{105}$$

$$\dfrac{31}{35},\ \dfrac{42}{43}$$

Solution

Question 2

$$\frac{8}{{11}},\frac{{15}}{{28}},\frac{{17}}{{21}}$$

$$\frac{4}{9},\frac{{23}}{{25}},\frac{7}{{24}}$$

$$\frac{{11}}{{18}},\frac{5}{{12}},\frac{{17}}{{19}}$$

$$\frac{{8}}{{11}},\frac{15}{{23}},\frac{{17}}{{21}}$$

Solution

Question 3

$$\dfrac {2}{7}$$

$$\dfrac {3}{7}$$

$$\dfrac {-2}{7}$$

$$\dfrac {-3}{7}$$

Solution

Question 4

$$-\dfrac{8}{7}$$

$$\dfrac{19}{-13}$$

$$\dfrac{-3}{-4}$$

$$\dfrac{-21}{12}$$

Solution

Question 5

5 and 6

0 and 1

5 and 7

6 and 7

Solution

Question 6

$$-\left(\dfrac{-3}{7}\right)$$

$$\dfrac{-5}{-8}$$

$$\dfrac{9}{8}$$

$$\dfrac{3}{-7}$$

Solution

Question 7

$$3$$

$$2$$

$$-1$$

$$0$$

Solution

Question 8

$$1$$

$$-1$$

$$0$$

Not defined

Solution

Question 9

$$1$$

$$-1$$

$$0$$

Not defined

Solution

Question 10

p and q are integers

p and q are integers and $$q \neq 0$$

p and q are integers and $$p \neq 0$$

p and q are integers and $$p \neq 0$$ also $$q \neq 0$$

Solution

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