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E:\Working\Focus_Learning\Math_Genius-8\Open_Files\07_Chapter_6\Chapter_6
\ 06-Jan-2025 Bharat Arora Proof-6 Reader’s Sign _______________________ Date __________

Chapter assessment
A. Choose the correct option.

1. The cube of an even natural number is
(a) an even natural number (b) an odd natural number
(c) a prime number (d) none of these

2. The smallest natural number by which 32 must be multiplied to get a perfect cube is
(a) 16 (b) 4 (c) 2 (d) 8
3. 3 8 × 64 = ?

(a) 12 (b) 16 (c) 8 (d) 24
4. If the volume of a cube is 729 cm , then the length of its side is
3
(a) 8 cm (b) 9 cm (c) 7 cm (d) 6 cm

5. Which of the following is the cube of an odd number?
(a) 512 (b) 9261 (c) 4096 (d) 8000
6. Which of the following is the cube of a negative integer?

(a) –25 (b) 1000 (c) –27 (d) 64
7. (0.11) = ............... .
3
(a) 0.0001331 (b) 0.001331 (c) 0.01331 (d) 0.1331
8. Cube root of –512 is ............... .

(a) 8 (b) –8 (c) 64 (d) –64
9. 3 (−1331 ) × 125 = ............... .

(a) –85 (b) –75 (c) –65 (d) –55
b. Assertion and reason type Questions.
In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R).
Choose the correct option.

(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
(b) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of
Assertion (A).
(c) Assertion (A) is true but Reason (R) is false.
(d) Assertion (A) is false but Reason (R) is true.
1. Assertion (A): The ones digit of the cube of the number 364 is 4.
reason (r): A cube number is a number multiplied by itself three times.
2. Assertion (A): The number of zeros at the end of the cube of the number 50 is 3.
reason (r): The number of zeros at the end of a perfect cube is always a multiple of 3.

C. Fill in the blanks.

1. A perfect cube is obtained when a number is multiplied by itself ............... times.
2. The symbol ‘ 3 ’ denotes ............... .

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