Cubes and Cube Roots Test

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Cubes and Cube Roots Test - 11

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Weekly Quiz Competition

Question 1
1 / -0

Calculate the value of $$\sqrt[3]{-64} + \sqrt{9^{2}}$$.

A
$$-4$$

B
$$3$$

C
$$5$$

D
$$77$$

Solution

On prime factorising, we get,
$$-64=(-4) \times (-4) \times (-4)$$ $$= (-4)^3$$.

Then,
$$\sqrt[3]{-64} + \sqrt{9^{2}} = \sqrt[3]{(-4)^3} + 9 =-4+9= 5$$.

Hence, option $$C$$ is correct.
Question 2
1 / -0

Cube of $$(-3)$$ is:

A
$$+27$$

B
$$-9$$

C
$$-6$$

D
$$-27$$

Solution

Cube of $$(-3)$$ is:
$$(-3)^3=-3\times -3\times -3=-27$$.

Hence, option $$D$$ is correct.
Question 3
1 / -0

Cube root of the quotient of two negative integers is ______.

A
positive

B
zero

C
negative

D
none of these

Solution

The quotient of two negative integers, i.e. a negative number when divided by another negative number gives a positive number.
Then, the cube root of the resultant positive number will be positive.

E.g.: Let the two integers be $$-16$$ and $$-2$$.
Then, their quotient $$\dfrac{-16}{-2}=8$$, which is positive.
Therefore, $$\sqrt[3]{\dfrac{-16}{-2}}=\sqrt[3]{8}=2$$, which is also positive.

Hence, option $$A$$ is correct.
Question 4
1 / -0

The value of $$(3.1)^3$$ is:

A
$$27.971$$

B
$$29.791$$

C
$$29.971$$

D
$$27.197$$

Solution

Cube of $$(3.1)$$ is:
$$(3.1)^3=3.1 \times 3.1 \times 3.1$$
$$=29.791$$.
Hence, option $$B$$ is correct.
Question 5
1 / -0

There is no perfect cube which ends with $$8$$.

A
True

B
False

C
Ambiguous

D
Data insufficient

Solution

We know,
cube of $$2$$, i.e. $$2^3=8$$, which is a perfect cube.
That is, there exists a perfect cube which ends in $$8$$.
Therefore, the given statement is false and option $$B$$ is correct.
Question 6
1 / -0

A number raised to power $$3$$ is called the _____.

A
Cube of that number

B
Square of that number

C
Cube root of that number

D
Square root of that number

Solution

If a number is raised to the power $$3$$, then it is called the cube of that number.

Hence, option $$A$$ is correct.
Question 7
1 / -0

Cube of an odd natural number is an _____ number.

A
odd

B
even

C
negative

D
prime

Solution

We know, the multiplication of odd natural numbers $$3$$ times, i.e. the cube of an odd natural number, will always be odd.
That is because an odd number multiplied to another odd number, always yields an odd number.

For example, consider the odd natural numbers $$3$$ and $$5$$.
Then, their cube is $$3^3=27$$ and $$5^3=125$$, whose units place is odd.
That is, the cubes are also odd.

Hence, the cube of an odd natural number is an odd number.
Question 8
1 / -0

Cube of even natural number is _____ number.

A
even

B
odd

C
negative

D
prime

Solution

We know, the multiplication of $$3$$ even numbers, i.e. the cube of an even natural number, will always be even
Example, consider the even natural numbers $$2$$ and $$4$$.
Then, their cube is $$2^3=8$$ and $$4^3=64$$, whose units place is even.
That is, the cubes are also even.
Hence, we can say, cube of even natural number is even.
Therefore, option $$A$$ is correct.
Question 9
1 / -0

The cube of the given number is:
$$0.4 $$.

A
$$0.064$$

B
$$0.074$$

C
$$0.194$$

D
None

Solution

Cube of the number $$0.4$$:
$$(0.4)^{ 3 } = 0.4\times0.4\times 0.4 = 0.064$$.

Hence, option $$A$$ is correct.
Question 10
1 / -0

The cube of the given number is:
$$1.3 $$.

A
$$2.197$$

B
$$2.187$$

C
$$3.477$$

D
$$8.447$$

Solution

Cube of the number $$1.3$$:
$$(1.3)^{ 3 } = 1.3\times1.3\times1.3 = 2.197$$.

Hence, option $$A$$ is correct.

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Re-Attempt Weekly Quiz Competition

Cubes and Cube Roots Test - 11

Result

Cubes and Cube Roots Test - 11

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SHARING IS CARING

Question 1

$$-4$$

$$3$$

$$5$$

$$77$$

Solution

Question 2

$$+27$$

$$-9$$

$$-6$$

$$-27$$

Solution

Question 3

positive

zero

negative

none of these

Solution

Question 4

$$27.971$$

$$29.791$$

$$29.971$$

$$27.197$$

Solution

Question 5

True

False

Ambiguous

Data insufficient

Solution

Question 6

Cube of that number

Square of that number

Cube root of that number

Square root of that number

Solution

Question 7

odd

even

negative

prime

Solution

Question 8

even

odd

negative

prime

Solution

Question 9

$$0.064$$

$$0.074$$

$$0.194$$

None

Solution

Question 10

$$2.197$$

$$2.187$$

$$3.477$$

$$8.447$$

Solution

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Question Analysis

My Perfomance

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Rank

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