Number Systems Test

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Number Systems Test - 22

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Weekly Quiz Competition

Question 1
1 / -0

Decimal form of $$\displaystyle \frac{3888} {1000} $$:

A
$$38.88$$

B
$$3.888$$

C
$$388.8$$

D
$$.3888$$

Solution

$$\dfrac{3888}{1000}=\dfrac{3888}{10^3}$$.
Here, the decimal point is placed three digits to the left.
That is,
$$\Rightarrow\dfrac{3888}{10^3}=3.888$$
Therefore, option $$B$$ is correct.
Question 2
1 / -0

In simplified form, $$((3)^{0} + (5)^{0})^{0}$$ is equal to:

A
$$2$$

B
$$1$$

C
$$0$$

D
$$8$$

Solution

$$(3^{0} + 5^{0})^{0} = (1 + 1)^{0}$$

$$= (2)^{0}$$ $$= 1$$

So, option $$B$$ is correct.
Question 3
1 / -0

The value of $$(2^0 - 3^0) \times 4^2$$ is---

A
$$16$$

B
$$0$$

C
$$-16$$

D
None of these

Solution

$$(2^0 - 3^0) \times 4^2\\ = (1 - 1) \times 4^2\\ = 0\times 16\\=0$$
Question 4
1 / -0

Find the value of $$(6)^{0} - (10)^{0}$$

A
$$-4$$

B
$$2$$

C
$$1$$

D
$$0$$

Solution

$$(6)^0 - (10)^0 = 1-1 = 0$$
So, option $$D$$ is correct.
Question 5
1 / -0

$$a^0=1$$ is true for all $$a$$ except

A
$$-1$$

B
negative integers

C
0

D
1

Solution

The correct answer is C

A. $${ (-1 )}^{ 0 }=1$$

B. $${ (-2) }^{ 0 }=1$$

C. $${ 0 }^{ 0 }$$ is not defined.

D. $${ 1 }^{ 0 }=1$$
Question 6
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 7
1 / -0

The value of $$21^{0}$$ is _____.

A
$$0$$

B
$$21$$

C
$$1$$

D
$$-21$$

Solution

$$21^{0} = 1$$
$$\because a^{0} = 1$$
This is the law for zero exponent.
So, option $$C$$ is correct.
Question 8
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.
Question 9
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 10
1 / -0

Which one of the following is the value of $$(101)^{0}$$?

A
$$0$$

B
$$101$$

C
$$1010$$

D
$$1$$

Solution

$$101^{0} = 1$$

So, option $$D$$ is correct.

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Re-Attempt Weekly Quiz Competition

Number Systems Test - 22

Result

Number Systems Test - 22

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SHARING IS CARING

Question 1

$$38.88$$

$$3.888$$

$$388.8$$

$$.3888$$

Solution

Question 2

$$2$$

$$1$$

$$0$$

$$8$$

Solution

Question 3

$$16$$

$$0$$

$$-16$$

None of these

Solution

Question 4

$$-4$$

$$2$$

$$1$$

$$0$$

Solution

Question 5

$$-1$$

negative integers

0

1

Solution

Question 6

Negative rational number

Positive rational number

Either positive or negative rational number

None of these

Solution

Question 7

$$0$$

$$21$$

$$1$$

$$-21$$

Solution

Question 8

Negative rational number

positive rational number

neither positive nor negative rational number

None of these

Solution

Question 9

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

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

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

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

Solution

Question 10

$$0$$

$$101$$

$$1010$$

$$1$$

Solution

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