Cubes and Cube Roots Test

Question 1
1 / -0

Which of the following numbers is a perfect cube?

A
20250

B
21296

C
21952

D
36000

Question 2
1 / -0

What is the least number by which 2592 should be multiplied so that the product is a perfect cube as well as a perfect square?

A
2

B
6

C
18

D
36

Question 3
1 / -0

Use the following information to answer the next question.

A pattern is given as:

1 = 1 = 1³

3 + 5 = 8 = 2³

7 + 9 + 11 = 27 = 3³

13 + 15 + 17 + 19 = 64 = 4³

According to the given pattern, 5³ can be expressed as

A
21 + 23 + 25 + 27 + 29 = 5³

B
20 + 22 + 24 + 28 + 31 = 5³

C
28 + 30 + 32 + 35 = 5³

D
15 + 19 + 23 + 31 + 37 = 5³

Question 4
1 / -0

A pattern is given as:

2³ − 1³ = 1 + 2 × 1 × 3

3³ − 2³ = 1 + 3 × 2 × 3

4³ − 3³ = 1 + 4 × 3 × 3

According to the given pattern, 41³ − 40³ can be expressed as

A
41³ − 40³ = 1 + 41 × 3 × 3

B
41³ − 40³ = 1 + 41 × 40 × 3

C
41³ − 40³ = 1 + 41 × 40 × 39

D
41³ − 40³ = 1 + 41 × 40 × 40

Question 5
1 / -0

If a natural number N can be expressed as N = 4x²y × 54xy², where x and y are natural numbers, then what is the cube root of N?

A
6xy

B
12xy

C
9xy²

D
27x²y

Question 6
1 / -0

What is the least number by which 27440 can be divided to make it a perfect cube?

A
5

B
10

C
15

D
20

Question 7
1 / -0

What is the smallest number by which 24696 is to be multiplied with so that the product becomes a cube number?

A
2

B
3

C
6

D
7

Question 8
1 / -0

What is the smallest perfect cube divisible by 54, 132 and 242?

A
245684

B
256874

C
268716

D
287496

Question 9
1 / -0

What is the value of the expression?

A
22

B
25

C
35

D
44

Question 10

1 / -0

Use the following information to answer the next question.

Some statements are given as:

I. If a perfect cube ends with 7, then its cube root ends with 3.

II. If a perfect cube ends with 1, then its cube root ends with 1 or 9.

III. If a number ends with 6, then its cube ends with 6.

IV. If a number ends with 5, then its cube ends with 0.

Which of the given statements are correct?

I and III

II and III

II and IV

I and IV

Submit Test

Cubes and Cube ...

Question 1

20250

21296

21952

36000

Question 2

2

6

18

36

Question 3

21 + 23 + 25 + 27 + 29 = 53

20 + 22 + 24 + 28 + 31 = 53

28 + 30 + 32 + 35 = 53

15 + 19 + 23 + 31 + 37 = 53

Question 4

413 − 403 = 1 + 41 × 3 × 3

413 − 403 = 1 + 41 × 40 × 3

413 − 403 = 1 + 41 × 40 × 39

413 − 403 = 1 + 41 × 40 × 40

Question 5

6xy

12xy

9xy2

27x2y

Question 6

5

10

15

20

Question 7

2

3

6

7

Question 8

245684

256874

268716

287496

Question 9

22

25

35

44

Question 10

I and III

II and III

II and IV

I and IV

User

Question Analysis

Results Announcement on: coming Monday

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

21 + 23 + 25 + 27 + 29 = 5³

20 + 22 + 24 + 28 + 31 = 5³

28 + 30 + 32 + 35 = 5³

15 + 19 + 23 + 31 + 37 = 5³

41³ − 40³ = 1 + 41 × 3 × 3

41³ − 40³ = 1 + 41 × 40 × 3

41³ − 40³ = 1 + 41 × 40 × 39

41³ − 40³ = 1 + 41 × 40 × 40

9xy²

27x²y