Rational Numbers Test

Result

Rational Numbers Test - 11

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

$$\displaystyle \frac{-5}{0}$$ is a ........

A
Positive rational number.

B
Negative rational number.

C
Either positive or negative rational number.

D
Neither positive nor negative rational number.

Solution

$$\because$$ Denominator is '0', it is not a rational number as it makes number undefined.
Question 2
1 / -0

The number of rational numbers between two given rational numbers is

A
Infinite

B
Finite

C
Two

D
One

Solution

A rational number between two rational numbers $$ a $$ and $$ b = \frac {(a + b)}{2} $$

Like this, using this rational number $$ \frac {(a + b)}{2} $$ and $$ b $$, we can find another rational number.
Hence, if we continue this, we get infinite rational numbers between two given rational numbers
Question 3
1 / -0

The reciprocal of a positive rational number is positive.

A
True

B
False

C
Cannot be determined

D
None

Solution

The reciprocal of a positive rational number is positive.
Question 4
1 / -0

The rational number between $$\cfrac{1}{2}$$ and $$\cfrac{6}{10}$$ is

A
$$\cfrac{1}{4}$$

B
$$\cfrac{3}{4}$$

C
$$\cfrac{21}{40}$$

D
$$\cfrac{33}{100}$$

Solution

$$\dfrac{1}{2}$$ =$$\dfrac{5}{10}$$
$$\dfrac{5}{10}$$ and $$\dfrac{6}{10}$$
Multiplying the denominator and numerator by $$4$$ we get,
$$\dfrac{5}{10}\times 4=\dfrac{20}{40}$$ and
$$\dfrac{6}{10}\times 4=\dfrac{24}{40}$$
Number between $$\dfrac{20}{40}$$ and $$\dfrac{24}{40}$$ is $$\dfrac{21}{40}$$
Question 5
1 / -0

How many rational numbers are there between $$-1$$ and $$0$$?

A
Infinite

B
1000

C
4990

D
None

Solution

There are infinite number of rational numbers between any two integers.
Question 6
1 / -0

The value of $$\displaystyle \frac{1\div\frac{2}{3}\times \frac{3}{4} }{1\div \frac{2}{3}\times \frac{4}{3}}$$ on simplification is

A
$$\displaystyle \frac{3}{16}$$

B
$$\displaystyle \frac{9}{16}$$

C
$$\displaystyle \frac{1}{16}$$

D
$$\displaystyle \frac{7}{16}$$

Solution

$$\dfrac{1\div \dfrac{2}{3}\times \dfrac{3}{4}}{1\div \dfrac{2}{3}\times \dfrac{4}{3}}$$

$$\Rightarrow\dfrac{1\times\dfrac{3}{2} \times \dfrac{1}{2}}{1\times \dfrac{3}{2} \times \dfrac{8}{9}}$$

$$\Rightarrow \dfrac{1\times \dfrac{3}{4}}{1\times \dfrac{4}{3}}$$

$$\Rightarrow \dfrac{\dfrac{3}{4}}{\dfrac{4}{3}} =\dfrac{9}{16}$$
Question 7
1 / -0

$$ \displaystyle \frac{-3}{0} $$ is a-

A
Negative rational number

B
Positive rational number

C
Either positive or negative rational number

D
None of these

Solution

-3/0 is undefined. Which means that it is neither a negative rational number nor a positive rational number.
So option D is the correct answer.
Question 8
1 / -0

Write five rational numbers which are smaller than $$2$$.

A
$$1,\,\displaystyle\frac{1}{2},\,0,\,-1,\,-\displaystyle\frac{1}{2}$$

B
$$0, 1 , 1.414, \sqrt3, -1$$

C
$$0, 1 , \sqrt2, \sqrt3, -1$$

D
$$0, 1 , 1.732, \sqrt2, -1$$

Solution

Five rational numbers less than $$2$$ may be taken $$1,\,\displaystyle\frac{1}{2},\,0,\,-1,\,-\displaystyle\frac{1}{2}$$
(There can be many more such rational numbers).
Question 9
1 / -0

Reciprocal of $$\displaystyle\frac{1}{a}$$ if $$\,a\neq0$$ is

A
$$a$$

B
$$a^2$$

C
$$a^3$$

D
1

Solution

Reciprocal of $$\displaystyle\frac{1}{a},\,a\neq0$$ is
$$\dfrac{1}{\dfrac 1 a}=a$$
Question 10
1 / -0

$$ \displaystyle \frac{-2}{-19} $$ is a -

A
Negative rational number

B
positive rational number

C
neither positive nor negative rational number

D
None of these

Solution

Both the negative signs of the numerator and denominator will cancel each other out. So the given fraction is a positive rational number.

So option B is the correct answer.

User

Question Analysis

Correct -
Wrong -
Skipped -

My Perfomance

Score
-
out of -
Rank
-
out of -

Re-Attempt Weekly Quiz Competition

Rational Numbers Test - 11

Result

Rational Numbers Test - 11

Score

-

Rank

-

SHARING IS CARING

Question 1

Positive rational number.

Negative rational number.

Either positive or negative rational number.

Neither positive nor negative rational number.

Solution

Question 2

Infinite

Finite

Two

One

Solution

Question 3

True

False

Cannot be determined

None

Solution

Question 4

$$\cfrac{1}{4}$$

$$\cfrac{3}{4}$$

$$\cfrac{21}{40}$$

$$\cfrac{33}{100}$$

Solution

Question 5

Infinite

1000

4990

None

Solution

Question 6

$$\displaystyle \frac{3}{16}$$

$$\displaystyle \frac{9}{16}$$

$$\displaystyle \frac{1}{16}$$

$$\displaystyle \frac{7}{16}$$

Solution

Question 7

Negative rational number

Positive rational number

Either positive or negative rational number

None of these

Solution

Question 8

$$1,\,\displaystyle\frac{1}{2},\,0,\,-1,\,-\displaystyle\frac{1}{2}$$

$$0, 1 , 1.414, \sqrt3, -1$$

$$0, 1 , \sqrt2, \sqrt3, -1$$

$$0, 1 , 1.732, \sqrt2, -1$$

Solution

Question 9

$$a$$

$$a^2$$

$$a^3$$

1

Solution

Question 10

Negative rational number

positive rational number

neither positive nor negative rational number

None of these

Solution

User

Question Analysis

My Perfomance

Score

-

Rank

-

Results Announcement on: coming Monday

Stay Tuned: We’ll update you on your result via email or SMS.