Sample QuestionsCube and Cube Roots questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
Choose the correct option: There is no perfect cube which ends in $4.$
Answer: B.
View full solution →The volume of a cubical box is $64cm^3.$ Which of the following is its side?
Answer: B.
View full solution →Tick $(\checkmark)$ the correct answer: By what least number should $648$ be multiplied to get a perfect cube?
Answer: C.
View full solution →Find the smallest number by which the number $625$ must be divided to obtain a perfect cube.
Answer: B.
View full solution →If the digit in one’s place of a number is $3,$ then the last digit of its cube will be:
Answer: C.
View full solution →The cube of a single digit number may be a single digit number.
The cube of a two digit number may have seven or more digits.
The cube of a $2-$digit number may be a $3-$digit number.
View full solution →There is no perfect cube which ends with $8.$
View full solution →If square of a number ends with $5,$ then its cube ends with $25.$
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason$(s) (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: The one’s digit of the cube of the number $50$ is $2$
Reasons $(R)$: A cube number is a number multiplied by itself $3$ times
- A
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.
- B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$.
- C
$A$ is true but $R$ is false.
- ✓
$A$ is false but $R$ is true.
Answer: D.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason$(s) (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: The smallest number by which the number $250$ must be divided to obtain a perfect cube is $2$.
Reasons $(R)$: The perfect cube is the result of multiplying the same integer three times.
- ✓
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.
- B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$.
- C
$A$ is true but $R$ is false.
- D
$A$ is false but $R$ is true.
Answer: A.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason$(s) (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: $10000$ is not a cube number
Reasons $(R)$: A cube number is a number multiplied by itself $3$ times
- A
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.
- B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$.
- C
$A$ is true but $R$ is false.
- ✓
$A$ is false but $R$ is true.
Answer: D.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason$(s) (R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: $125$ is a perfect cube
Reasons $(R)$: The perfect cube is the result of multiplying the same integer three times.
- ✓
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.
- B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$.
- C
$A$ is true but $R$ is false.
- D
$A$ is false but $R$ is true.
Answer: A.
View full solution →Directions: In the following questions, the Assertions $(A)$ and Reason$(s)$ $(R)$ have been put forward. Read both the statements carefully and choose the correct alternative from the following:
Assertion $(A)$: The one’s digit in the cube root of the cube number $1728$ is $6$
Reasons $(R)$: The cube root of a number is the factor that we multiply by itself three times to get that number.
- A
Both $A$ and $R$ are true and $R$ is the correct explanation of $A$.
- B
Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$.
- C
$A$ is true but $R$ is false.
- ✓
$A$ is false but $R$ is true.
Answer: D.
View full solution →Find the cube root of $15625$ by prime factorisation method.
View full solution →Find the cube root of $27000$ by prime factorisation method.
View full solution →Find the cube root of $10648$ by prime factorisation method.
View full solution →Find the cube root of $512$ by prime factorisation method.
View full solution →Find the cube root of $64$ by prime factorisation method.
View full solution →Find the cube root of $175616$ by prime factorisation method.
View full solution →Find the cube root of $46656$ by prime factorisation method.
View full solution →Find the cube root of $110592$ by prime factorisation method.
View full solution →Find the cube root of $13824$ by prime factorisation method.
View full solution →Find the cube root of $91125$ by prime factorisation method.
View full solution →Is $68600$ a perfect cube$?$ If not, find the smallest number by which 68600 must be multiplied to get a perfect cube$?$
View full solution →Is $243$ a perfect cube$?$
View full solution →The square of the cube root of $64$ is.......... $(8, 16, 32)$
View full solution →A number is a perfect cube, if it ends with...........zeros. (four, five, nine)
A number is not a perfect cube, if it ends with............zeros. (two, three, Six)
............is a perfect cube number. $(640, 6400, 64000)$
View full solution →............is not a perfect cube number. $(343, 243, 1000)$
View full solution →